10) Given below are the average marks of a class in five subjects. Draw a bar graph to represent the data. English: 62; Mathematics: 91; Science: 89; Social Studies: 55; Hindi: 56: After drawing the graph, answer the following questions. (i) Which subject shows the maximum average marks and which shows the minimum? (ii) By how much is the average in English more than the average in Hindi?​

Answers

Answer 1

The subject with the maximum average is Mathematics, while the subject with the minimum average is Social studies; moreover, there is a difference of 6 between Hindi and English.

Which subject has the maximum and the minimum average?

Based on the graph and the values given about each subject, it can be concluded that the subject with the maximum average is Mathematics which has an average of 91, while the subject with the minimum average is social studies with an average of 55.

What is the difference in average between Hindi and English?​

English average: 62

Hindi average: 56

62 - 56 = 6

Learn more about the average in https://brainly.com/question/24057012

#SPJ1

10) Given Below Are The Average Marks Of A Class In Five Subjects. Draw A Bar Graph To Represent The

Related Questions

Can you do Step by step because I need help

Answers

Answer:

4[tex]\sqrt{2\\}[/tex]

Step-by-step explanation:

This is a 45 45 90 Triangle meaning that x would be 4 squareroot 2

so the formula goes lets say 4= a and the other side is b

a=b and x=a[tex]\sqrt{2[/tex]

c) assume that 25% of the defendants in the state are innocent. in a certain year 200 people put on trial. what is the expected value and variance of the number of cases in which juries got the right decision?

Answers

The expected value of cases in which juries got the right decision is 150, and the variance is 375.

1. Since 25% of defendants in the state are innocent, that means that 75% of the defendants are guilty.
2. This means that in the given year, 150 out of the 200 people put on trial will be guilty.
3. Thus, the expected value of cases in which juries got the right decision is 150.
4. The variance of the number of cases in which juries got the right decision is calculated by taking the expected value and subtracting it from the total number of people put on trial, which is 200.
5. The result of the calculation is 375, which is the variance of cases in which juries got the right decision.

See more about variance at: https://brainly.com/question/9304306

#SPJ11

Can anyone please help with this math problem? Thanks!

Answers

Answer: Yes Sofia will have enough money

=======================================================

Explanation:

Refer to the drawing below. I've split the hexagon into two pieces. The bottom is a rectangle and the top is a trapezoid.

The area of the rectangle is 16*7 = 112 square meters.

The trapezoid has 16 as one of the parallel sides. The other side is x meters. We'll use the perimeter 54 to determine what x must be

sum of the exterior sides = perimeter

6+7+16+7+6+x = 54

42+x = 54

x = 54-42

x = 12

The top most side is 12 meters. This is the missing side of the trapezoid. The hexagon has a height of 12.66 meters, so the trapezoid's height must be 12.66-7 = 5.66 meters. Refer to the blue segment I marked in the drawing below.

area of the trapezoid = 0.5*height*(base1+base2)

area = 0.5*5.66*(16+12)

area = 79.24 square meters

----------------

Recap so far

area of the rectangle at the bottom = 112 square metersarea of the trapezoid up top = 79.24 square meters

The total area of the entire hexagon is therefore 112+79.24 = 191.24 square meters.

Let's convert that to square decimeters.

Recall that 1 decimeter = 10 centimeters

Multiply both sides by 10

1 decimeter = 10 centimeters

10*(1 decimeter) = 10*(10 centimeters)

10 decimeters = 100 centimeters

10 decimeters = 1 meter

Then,

[tex]191.24 \text{ sq m}= 191.24 \text{ sq m} * \frac{10 \text{ dm}}{1 \text{ m}} * \frac{10 \text{ dm}}{1 \text{ m}}\\\\= \frac{191.24*10*10}{1*1} \text{ sq dm}\\\\= 19124 \text{ sq dm}\\\\[/tex]

The entire lawn is 19124 square decimeters.

----------------

We have one final block of calculations to determine the total price.

x = number of rolls

1 roll covers 90 square decimeters

x rolls cover 90x square decimeters

90x = 19124

x = 19124/90

x = 212.489 approximately

Round up to the nearest integer to get x = 213. It doesn't matter that 212.489 is closer to 212. We round up to clear the hurdle. It means we'll have leftover grass that isn't used (perhaps it could be handy to have some back up grass just in case mistakes are made, and some patches need to be redone).

In short, Sofia needs 213 rolls.

1 roll costs $4.50

213 rolls will cost 213*4.50 = 958.50 dollars.

This is under the $1000 threshold (with 1000-958.50 = 41.50 dollars to spare).

Sofia will have enough money to pay for all of the grass.

what is the surface area of a cube if all sides are equal to 2

Answers

The surface area of a cube if all the sides are equal to two is 24. This is because there are six squares in a cube and each square has an area of 4, so we multiply the area of one square, which is 4 by 6 to find the surface area.

find the equation of the line with the given properties. express the equation in general form or slope intercept form. perpendicular to the line -4x+y=43 ; contains the point (-8,10)

Answers

The equation of the required line in slope-intercept form is y = -1/4x + 8.

Here are the steps to find the equation of the line:

Step 1: Find the slope of the given line in slope-intercept form

y = mx + c

-4x + y = 43 ⇒ y = 4x + 43... (1)

Here, the slope (m1) of the given line is 4.

Step 2: Find the slope of the required line as the two lines are perpendicular to each other.

m1 × m2 = -1

[As the given line and the required line are perpendicular to each other]

4 × m2 = -1 ⇒ m2 = -1/4

So, the slope (m2) of the required line is -1/4.

Step 3: Write the equation of the required line in point-slope form.

y - y1 = m(x - x1)

[Using the point-slope formula]

Let (x1, y1) = (-8, 10)m = -1/4

Putting the values in the above formula, we get

y - 10 = -1/4(x - (-8)) ⇒ y - 10 = -1/4(x + 8)... (2)

Step 4: Simplify the above equation to get the required equation of the line in slope-intercept form.

y - 10 = -1/4x - 2 ⇒ y = -1/4x + 8... (3)

You can learn more about slope and intercept at: brainly.com/question/30216543

#SPJ11

how many all.number of possible.diagonal that drawing in differnt verticle of nonagon​

Answers

It sounds like you want to find how many diagonals a nonagon has.

A nonagon has n = 9 sides.

The number of diagonals would be...

[tex]d = \text{number of diagonals}\\\\d = \frac{n(n-3)}{2}\\\\d = \frac{9(9-3)}{2}\\\\d = \frac{9(6)}{2}\\\\d = \frac{54}{2}\\\\d = 27\\\\[/tex]

A nonagon has 27 different diagonals.

Answer: 27

Each angle of a regular polygon is 1680. How
many sides has it? What is the name of this
polygon?

Answers

Answer: 2 solutions

Step-by-step explanation:

To find the angle of a regular polygon, use the formula 180(n-2)/n (where n is the amount of sides.)

Setting them equal, we get (180n-360)/n = 1680.

Multiplying by n on both sides, we get 180n-360 = 1680n.

Solving, we get 1500n = 360.

n = 0.24, which means it is not a shape, as you cannot have a shape with 0.24 sides.

The other way to look at it is to take full revolutions of 360 away from each angle, giving us 240 (the smallest remainder without it going negative). However, all the angles would be concave. If all the angles are concave, then it might connect backwards.

Subtracting 240 from 360 (to get the "exterior" angles, we get 120. Plugging it in to our equation 180(n-2)/n and solving, we get 180n-360 = 120n, and solving gives us 60n = 360, or n=6.

Since the amount of sides came together cleanly, we can classify this polygon as a normal hexagon, which has 6 sides.

11. twenty batteries will be put on the display. the types of batteries are: aaa, aa, c, d, and 9-volt. a. how many ways can we choose the twenty batteries? b. how many ways can we choose the twenty batteries but be sure that at least four batteries are 9-volt batteries?

Answers

a.

There are 15,504 ways to choose 20 batteries from the given types.

b.

there are 18,564 ways to choose 20 batteries such that at least four of them are 9-volt batteries.

How do we calculate?

To choose 20 batteries from the given 5 types (aaa, aa, c, d, and 9-volt), we can use the combination formula and is given by:

nCr = n! / (r! * (n-r)!)

5C20 = 5! / (20! * (5-20)!) = 15,504

there are 15,504 ways to choose 20 batteries from the given types.

b. To choose 20 batteries such that at least four of them are 9-volt batteries, we employ the method:

First, we choose four 9-volt batteries out of the total number of 9-volt batteries, which is 1.

we then need to choose the remaining 16 batteries from the remaining 4 types (aaa, aa, c, and d), while making sure that we don't choose any 9-volt batteries.

Applying the combination formula, with n = 4 and r = 16:

4C16 = 4! / (16! * (4-16)!) = 18,564

Therefore, the total number of ways to choose 20 batteries such that at least four of them are 9-volt batteries is:

1 * 18,564 = 18,564

Learn more about combination formula at:

https://brainly.com/question/11732255

#SPJ1

Four friends all give each other presents.
The total cost of the presents is £80.52
Work out the mean cost of a present in pounds (£).

Answers

To work out the mean cost of a present in pounds (£), we need to divide the total cost of the presents (£80.52) by the number of presents (4).

The calculation will look like this:

£80.52 ÷ 4 = £20.13

Therefore, the mean cost of a present in pounds (£) is £20.13.

(1 point) Suppose f(x,y) = xy(1 - 4x - 2y). f(x,y) has 4 critical points. List them in increasing lexographic order. By that we mean that (x,y) comes before (z, w) if x

Answers

Increasing lexicographic order: (0, 0), (0, 1/2), (1/4, 0), (1/4, 1/2)).Thus, the increasing lexicographic order of the critical points of the function f(x,y) = xy(1 - 4x - 2y) are (0, 0), (0, 1/2), (1/4, 0), and (1/4, 1/2).

lexicographic order: (0, 0), (0, 1/2), (1/4, 0), (1/4, 1/2)).Thus, the increasing lexicographic order of the critical points of the function f(x,y) = xy(1 - 4x - 2y) are (0, 0), (0, 1/2), (1/4, 0), and (1/4, 1/2).

Suppose that f(x,y) = xy(1 - 4x - 2y). f(x,y) has 4 critical points.

Let's discuss what are critical points and how we can determine them,A critical point is a point on the graph where the derivative changes its sign.

In other words, the derivative either changes from negative to positive or from positive to negative. A critical point is also known as a stationary point or a turning point

To determine the critical points, we need to find the derivative of the given function and set it equal to zero.The given function is[tex]f(x,y) = xy(1 - 4x - 2y).[/tex]

Let's find the partial derivative of f with respect to [tex]x:f_x(x,y) = y(1 - 4x - 2y) - 4xy = (1-2y)(1-4x)y.[/tex] (1)

Now, find the partial derivative of f with respect to y:f_y(x,y) = x(1 - 4x - 2y) - 2xy = (1-2x)(1-2y)x. (2)

To find the critical points, we need to set both partial derivatives (1) and (2) equal to zero.

(1-2y)(1-4x) = 0 and (1-2x)(1-2y) = 0.

Solving both equations separately, we have the following critical points:(1/4, 1/2), (1/4, 0), (0, 1/2), and (0, 0).

for such more questions on lexicographic order

https://brainly.com/question/22852607

#SPJ11

Two numbers have a sum of 1022. They have a difference of 292. What are the two numbers

Answers

Answer:

The answer is 657 and 365.

Step-by-step explanation:

Let the two numbers be x and y respectively

In first case,

x+y=1022

x=1022-y----------- eqn i

In second case

x-y=292

1022-y-y=292 [From eqn i]

1022-2y=292

1022-292=2y

730=2y

730/2=y

y=365

Substituting the value of y in eqn i

x=1022-y

x=1022-365

x=657

Hence two numbers are 657 and 365.

Pls mark me as brainliest if you got the answer

A photograph of sides 35cm by 22cm is mounted onto a frame of external dimension 45cm by 30cm.Find the area of the border surrounding the photograph

Answers

Solution:

Dimension of photograph is 35cm and 22cm.

And external dimension of photo frame is 45cm and 30cm

So, the area of the border surrounding the photograph=Area of photo frame−Area of photo.

So, The area of the border surrounding the photograph [tex]=45\times30-35\times22[/tex]

[tex]=1350-770=580cm^2[/tex]

Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Select three choices. Josiah’s Music Sample 1 Sample 2 R & B 5 R & B 4 Pop 4 Pop 3 Classical 3 Classical 5 Jazz 2 Jazz 4 Rock 6 Rock 4 Josiah’s work: StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction. StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction. 300 = x. He should have found the average of the number of rock songs by averaging 4 and 6 to get 5. He did not multiply the numerator and denominator by the correct number to equal 1,500. His answer will be one-half of what he got because he did not divide 10 by 2 when setting up the proportion. He can only solve the proportion by multiplying the numerator and denominator by a common multiple. He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500

Answers

Answer:

The following statements about Josiah's solution are true:

He found the proportion of rock songs to the total number of songs correctly: StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction.

He solved the proportion correctly: StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction.

He correctly determined that the number of rock songs on his MP3 player is 300 (x = 300).

Therefore, the statements that are true are:

He found the proportion of rock songs to the total number of songs correctly.

He solved the proportion correctly.

He correctly determined that the number of rock songs on his MP3 player is 300 (x = 300).

Corey is ready to begin the process of producing his final animation. Unfortunately,
his computer does not have the power to render the final scene, so he outsources
the render to a computer that will execute the function. What method allows him to
do this?
(1 point)
O image sequences
Obatch render
O net rendering
O multi-passing

Answers

Net rendering is a method of rendering a computer-generated animation or image on multiple computers over a network.

Net rendering is a method of rendering a computer-generated animation or image on multiple computers over a network. This technique allows a user to take advantage of the computing power of multiple computers to render a scene. To do this, the user would divide the scene into several parts, assigning each part to a different computer. The computers would then render each part of the scene independently, and then the results are combined into a single image. This process can significantly reduce the time required to render a scene, as the workload is distributed over multiple computers. For example, if it would normally take a single computer 10 minutes to render a scene, net rendering could reduce that time to 2 minutes.

Learn more about significantly here:

https://brainly.com/question/14789537

#SPJ1

(EMERGENCY) I need to know how exponents work

Answers

Answer:

Exponents are a mathematical notation used to represent repeated multiplication. An exponent, also known as a power, consists of a base number and a small superscript number, which indicates how many times the base number should be multiplied by itself.

For example, in the expression 2^3, the base number is 2 and the exponent (or power) is 3. This means that 2 should be multiplied by itself three times: 2 x 2 x 2 = 8. So, 2^3 is equal to 8.

Exponents can also be negative or fractions. In these cases, the negative exponent indicates division and the fraction exponent indicates taking a root.

For instance, in the expression 2^-3, the negative exponent means that 2 is in the denominator of a fraction: 1/2 x 1/2 x 1/2 = 1/8. So, 2^-3 is equal to 1/8.

In the expression 4^(1/2), the fraction exponent means that we take the square root of 4: 2 x 2 = 4. So, 4^(1/2) is equal to 2.

Exponents have many practical applications in science, engineering, and other fields. They can be used to represent large or small quantities, as well as to simplify complex mathematical expressions.

Step-by-step explanation:

brad is in a big dorm with 180 other students. let x be the number of other students who have the same birthday as brad. using poisson approximation, approximate the probability that (a) there is at least one student with same birthday as brad? (b) exactly one student with same birthday as brad? (c) at least two students? compare this with the exact probability. you may assume that the birthday of each of the other students is equally likely to be any one of the 365 days (no students born on leap years) and independent of each other

Answers

Using the Poisson Approximation the probability are:

a)  0.6321

b)  0.3679

c) 0.2642

The Poisson distribution is utilized to compute the likelihood of a particular amount of occurrences happening over a set period. The Poisson approximation will be used to answer the given question, and it is a form of a probability distribution that can be used to approximate the probability of particular events that occur infrequently, and it is suitable for both continuous and discrete variables.

a) The probability of having at least one student with the same birthday as Brad using the Poisson Approximation.

Let the number of other students with the same birthday as Brad be represented by x. Here, x is a discrete variable with a Poisson distribution that follows a Poisson distribution with an average of λ, which is equal to 1:

λ = average number of students having the same birthday as Brad = 1.

Using the Poisson distribution formula, the probability of having at least one student with the same birthday as Brad is given by:

P(X >= 1) = 1 - P(X = 0)

= 1 - e ^ (-λ)P(X = 0)

= (e^(-λ))(λ^0) / 0!

= e^(-λ)

= e^(-1)

= 0.3679

Therefore, the probability of having at least one student with the same birthday as Brad is:

P(X >= 1) = 1 - P(X = 0)

= 1 - 0.3679

= 0.6321

b) The probability of having exactly one student with the same birthday as Brad using Poisson Approximation

P(X = 1) = (e^(-λ))(λ^1) / 1!

= e^(-1)(1) / 1!

= e^(-1)

= 0.3679

Therefore, the probability of having exactly one student with the same birthday as Brad is:

P(X = 1)

= e^(-1)

= 0.3679

c) The probability of having at least two students with the same birthday as Brad using Poisson Approximation

P(X >= 2) = 1 - P(X < 2)

= 1 - [P(X = 0) + P(X = 1)]

= 1 - [e^(-λ)(λ^0) / 0! + e^(-λ)(λ^1) / 1!]

= 1 - [e^(-1) + e^(-1)(1) / 1!]

= 1 - [e^(-1) + e^(-1)]

= 1 - 2e^(-1)

= 0.2642

Compare the Poisson Approximation (a) Probability with the exact probability- At least one student with the same birthday as Brad

Exact probability: 1 - (364/365)^180 = 0.4406

Poisson Approximation Probability: 0.6321

The exact probability is 0.4406, which is less than the Poisson approximation probability, which is 0.6321.

This result indicates that the Poisson approximation formula overestimates the likelihood of having at least one student with the same birthday as Brad.

(b) Exactly one student with the same birthday as Brad

Exact probability: (364/365)^179(1/365) = 0.3775

Poisson Approximation Probability: 0.3679

The exact probability is 0.3775, which is quite similar to the Poisson approximation probability, which is 0.3679.

This result indicates that the Poisson approximation formula provides a reasonably precise estimate of the likelihood of having exactly one student with the same birthday as Brad.

(c) At least two students with the same birthday as Brad

Exact probability: 1 - [1 + 364/365 + ... + (364!/347!)/365^34] = 0.1827

Poisson Approximation Probability: 0.2642

The exact probability is 0.1827, which is less than the Poisson approximation probability, which is 0.2642.

This result indicates that the Poisson approximation formula overestimates the likelihood of having at least two students with the same birthday as Brad.

To know more about the "Poisson approximation": https://brainly.com/question/9123296

#SPJ11

27y/y^2-1• y^2+y/36y^2 state the product in simplest form

Answers

The product of the two expressions can be simplified to -1/2(y-1).

Let's first focus on the expression 27y/(y²-1). This expression has a denominator that is a difference of squares, which we can factor as (y+1)x(y-1). We can then use partial fraction decomposition to rewrite the expression as follows:

27y/(y²-1) = (A/(y+1)) + (B/(y-1))

Multiplying both sides by (y+1)x(y-1), we get:

27y = Ax(y-1) + Bx(y+1)

We can then solve for A and B by setting y = 1 and y = -1, respectively. This gives us:

A = -9 B = 9

Substituting these values back into our partial fraction decomposition, we get:

27y/(y²-1) = (-9/(y+1)) + (9/(y-1))

Now let's focus on the expression (y²+y)/(36y²). We can factor out a y from the numerator and denominator to get:

y(y+1)/(36yxy)

We can then simplify this expression by cancelling out the y's:

(y+1)/36

Now that we have simplified each expression separately, we can multiply them together.

(27y/(y²-1)) x ((y²+y)/(36y²)) = ((-9/(y+1)) + (9/(y-1))) x ((y+1)/36)

We can distribute the second expression and simplify:

=> ((-9y)/(y+1) + (9y)/(y-1)) x ((y+1)/36) = ((-9y)(y-1) + (9y)(y+1)) / (36x(y²-1))

=> (-9y² + 9y - 9y² - 9y) / (36x(y²-1)) = (-18y² - 18y) / (36x(y²-1))

=> (-1/2)x(y+1)/(y-1)(y+1) = -1/2(y-1)

To know more about expression here

https://brainly.com/question/14083225

#SPJ4

please me on this two colummn proof.

Answers

As a result, the triangles and are similar triangles according to the meaning of similarity. Thus, the Angle-Angle Similarity Principle has been demonstrated.

what is triangle ?

Three straight edges and three angles make up a closed, two-dimensional triangle. By joining three non-collinear lines, it is created. One of the most fundamental geometric shapes, triangles are used in many disciplines, including physics, engineering, and construction. According to their edges and angles, triangles can be classified as equilateral, isosceles, scalene, acute, obtuse, or right triangles.

given

Take into account two triangles Z and T such that ZT ZX and ZUZY. We must demonstrate the similarity of these two shapes.

We are aware that if two triangles are similar, their respective sides and angles will be proportional.

Now, let's prove that the respective sides of these two triangles are proportional. Since ZT ZX, the respective sides of similar triangles result in TZ/ZX = TU/ZY. If we simplify this number, we obtain:

TU/ZX Equals TZ/ZY.

This demonstrates that the ratio between the respective sides of these two triangles.

As a result, the triangles and are similar triangles according to the meaning of similarity. Thus, the Angle-Angle Similarity Principle has been demonstrated.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

The complete question is :- Write a proof of the Angle-Angle Similarity Theorem.

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Given: ZT ZX, ZUZY

Prove: Δτυν - ΔΧΥΖ

Dilate XYZ by the scale factor

Algebra help please!

Answers

In response to the stated question, we may state that As a result, the function student will have to pay off the debt in 24 weeks.

what is function?

In mathematics, a function is a connection between two sets of numbers in which each member of the first set (known as the domain) corresponds to a single element in the second set (called the range). In other words, a function takes inputs from one set and produces outputs from another. Inputs are commonly represented by the variable x, whereas outputs are represented by the variable y. A function can be described using an equation or a graph. The equation y = 2x + 1 represents a linear function in which each value of x yields a distinct value of y.v

a. Let L(w) be the monetary amount owing after w weeks.

Because the starting amount owing is $360 and the weekly payment is $15, the equation for the amount owed as a function of time is: L(w) = 360 - 15w

b. The inverse function of L(w) reflects the number of weeks required to repay a certain loan amount. In terms of L, we can solve for w:

L = 360 - 15w

L - 360 = -15w

w = (360 - L)/15

As a result, the inverse function is: L(-1)(w) = (360 - w)/15.

c. 0 = 360 - 15w

15w = 360 = 24

As a result, the student will have to pay off the debt in 24 weeks.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

Andrea took out a loan to start a business. She borrowed $30,000 for 3 years. If the loan has a maturity value of $34, 275, what
interest rate was Andrea charged on the loan? Round the percent to 2 decimal places.

4.75%
4.50%
4.00%
4.25%

Answers

The loan's interest rate, which is [tex]0.475[/tex] percent or [tex]4.75[/tex]%, is imposed by Andrea.

What are interest rates on average?

An interest rate provides information on how costly lending is or how profitable saving is. Hence, if you are a borrower, an interest rate refers to the total you pay for borrowing money and is expressed as a proportion of the total loan amount.

Is a high interest rate beneficial?

Borrowing money is more expensive when rates of interest are elevated and less expensive when rates of interest are low. Be sure you fully understand how the rate of interest will impact the entire amount you have to pay before accepting a loan.

maturity value [tex]=[/tex] principal [tex]+[/tex] (principal [tex]*[/tex] interest rate [tex]*[/tex] time)

maturity value [tex]= 34,275[/tex]

principal [tex]= 30,000[/tex]

time [tex]= 3[/tex] years

So we have:

[tex]34,275 = 30,000 + (30,000 * interest rate * 3)[/tex]

Simplifying this equation, we get:

[tex]34,275 - 30,000 = 9,000 *[/tex] interest rate

[tex]4,275 = 9,000[/tex] [tex]*[/tex] interest rate

interest rate [tex]= 4,275 / 9,000[/tex]

interest rate [tex]= 0.475[/tex]

Therefore, the interest rate charged on the loan is [tex]0.475[/tex] or [tex]4.75[/tex]%.

To know more about interest rate visit:

https://brainly.com/question/14120268

#SPJ1

In a right triangle, sin (5x-7) = cos (3x-10). Solve for x.

Answers

The answer is that you multiply the right triangle by 5x-7.

help please and fast due today

Answers

Therefore, the area of the whole figure is 60170 square centimeters.

What is area?

Area is a measurement of the amount of space inside a 2-dimensional shape, such as a rectangle, triangle, circle, or any other polygon. It is usually measured in square units, such as square inches, square feet, square meters, etc. The formula for finding the area of a shape depends on the type of shape. For example, the area of a rectangle is calculated by multiplying its length by its width, while the area of a circle is calculated by multiplying the square of its radius by pi (3.14).

Here,

To find the area of the whole figure, we need to find the area of the triangle and the area of the rectangle, and then add them together.

The area of the triangle can be found using the formula:

Area of triangle = (1/2) x base x height

where base is the length of one side of the triangle (2 cm) and height is the altitude (1.7 m). We need to convert the altitude to centimeters to match the units of the base:

1.7 m = 170 cm

So, the area of the triangle is:

Area of triangle = (1/2) x 2 cm x 170 cm = 170 cm²

The area of the rectangle is simply:

Area of rectangle = length x width = 2 m x 3 m = 6 m²

Now, we can add the two areas together to get the total area of the figure:

Total area = Area of triangle + Area of rectangle

= 170 cm² + 6 m²

Since the units are different, we need to convert one of them to match the other. Let's convert the area of the rectangle from meters to centimeters:

6 m² = 60000 cm²

Now, we can add the two areas together:

Total area = 170 cm² + 60000 cm²

= 60170 cm²

To know more about area,

https://brainly.com/question/13194650

#SPJ1

The difference between two numbers is eight.
if the smaller number is n to the third power
what is the greater number?​

Answers

The greater number is [tex]$n^3+8$[/tex]

Let x be the greater number and y be the smaller number. We know that x-y=8.

We are also given that the smaller number is n³.

So we can set up the equation:

x = y + 8

x = n³ + 8

Therefore, the greater number is [tex]$n^3+8$[/tex].

The greater number is given as n³ + 8. If the smaller number we get is represented by the n³,  then by adding 8 to that value gives the greater number. The difference between the two numbers is always going to be 8, regardless of the value of n.

Learn more about numbers

https://brainly.com/question/25734188

#SPJ4

PLEASE HELP WITH NUMBERS 9 and 10!!!
Pythagorean theorem (triangles)

Answers

Answer:

9. 6.32

10. 4.12

Step-by-step explanation:

9. c^2 = 2^2 + 6^2 = 4 + 36 = 40

c = √40 = 6.32

10. c^2 = 1^2 + 4^2 = 17

c = √17 = 4.12

What is the volume of a rectangular prism that has a width of 10 cm, height of 3 cm and a depth of 7 cm

Answers

the volume of the rectangular prism with a width of 10 cm, height of 3 cm, and a depth of 7 cm is 210 cubic cm.

The volume of a rectangular prism is calculated by multiplying its length, width, and height. In this case, the width is 10 cm, the height is 3 cm, and the depth is 7 cm. Therefore, the volume of the rectangular prism can be calculated as follows:

Volume = Length x Width x Height

Since the length of the rectangular prism is not given, we cannot calculate the exact volume. However, we can provide a formula that can be used to calculate the volume of any rectangular prism with the given dimensions.

Formula for the volume of a rectangular prism:

Volume = Width x Height x Depth

Substituting the given values, we get:

Volume = 10 cm x 3 cm x 7 cm

Volume = 210 cubic cm

Therefore, the volume of the rectangular prism with a width of 10 cm, height of 3 cm, and a depth of 7 cm is 210 cubic cm.

It is important to note that the unit of measurement used for the dimensions should be the same for all three dimensions in order to obtain the correct volume. In this case, the unit of measurement used is centimeters (cm), and the volume is expressed in cubic centimeters (cm³).

To know more about  rectangular prism  click here:

brainly.com/question/21308574

#SPJ4

check 5 greater than or equal to (y-2)

Answers

Answer: 5 ≥ y-2 is equivalent to y ≤ 7.

Step-by-step explanation: To check if 5 is greater than or equal to y-2, we need to isolate the variable y on one side of the inequality sign.

5 ≥ y - 2

First, we can add 2 to both sides to get rid of the subtraction of 2 on the right side:

5 + 2 ≥ y - 2 + 2

7 ≥ y

Therefore, we can see that y is less than or equal to 7 for this inequality to hold true.

a study was conducted on students from a particular high school over the last 8 years. the following information was found regarding standardized tests used for college admitance. scores on the sat test are normally distributed with a mean of 990 and a standard deviation of 201. scores on the act test are normally distributed with a mean of 21.6 and a standard deviation of 4.1. it is assumed that the two tests measure the same aptitude, but use different scales.If a student gets an SAT score that is the 70-percentile, find the actual SAT score. SAT score = _____ Round answer to a whole number. What would be the equivalent ACT score for this student? ACT score = ____Round answer to 1 decimal place.If a student gets an SAT score of 1536, find the equivalent ACT score. ACT score = ____ Round answer to 1 decimal place.

Answers

We are given that the SAT and ACT measure the same aptitude but use different scales. To find the equivalent ACT score for a given SAT score, we can use the conversion chart.
SAT 1100 = ACT 23
Therefore, the equivalent ACT score for a student with an SAT score of 1104 is 23.
3. If a student gets an SAT score of 1536, find the equivalent ACT score.
Solution:
To find the equivalent ACT score for a given SAT score, we can use the conversion chart.
SAT 1536 = ACT 35
Therefore, the equivalent ACT score for a student with an SAT score of 1536 is 35.
Therefore, the SAT score = 1536 and the ACT score = 35.

1. If a student gets an SAT score that is the 70th percentile, find the actual SAT score.
Solution:
We are given that SAT scores are normally distributed with a mean of 990 and a standard deviation of 201. We are asked to find the SAT score for the 70th percentile.
P( SAT score < X) = 0.70
We can use the standard normal table to find the corresponding z-score for the 70th percentile.
z = 0.52
We can use the z-score formula to find the SAT score:
z = (X - μ) / σ
0.52 = (X - 990) / 201
X = 1103.72
Therefore, the actual SAT score for the 70th percentile is 1104.
2. What would be the equivalent ACT score for this student?

for such more questions in standard normal

https://brainly.com/question/30492671

#SPJ11

A quadratic equation in form ax2 + bx + c = 0 cannot have:

Answers

One Imaginary solution is not possible for a quadratic equation of the form ax² + bx + c = 0.

By replacing the factorization method, the quadratic formula aids in evaluating the quadratic equations' solutions.

A quadratic equation has the general form ax² + bx + c = 0, where a, b, and c are real numbers, sometimes known as "numeric coefficient".

We can forecast the nature of the roots by determining the discriminant's value.

Three potential outcomes, each with a different impact

If b² - 4ac > 0, two separate roots that are real.

If b² - 4ac = 0, two real roots have magnitudes that are equal.

If b² - 4ac 0, there are no real roots and just imaginary ones.

Thus, the quadratic equation ax² + b x + c = 0 cannot have a single imaginary solution.

To know more about roots of quadratic equation, visit,

https://brainly.com/question/25841119

#SPJ4

Write the expression in complete factored
form.
3p(a - 1) - 2(a - 1)
Help!

Answers

Answer:

(a - 1)(3p - 2)

Step-by-step explanation:

3p(a - 1) - 2(a - 1) ← factor out (a - 1) from each term

= (a - 1)(3p - 2)

5.4 ADDING A MULTIPLE OF THE ith ROW TO THE jth row. Example 6: Create a 5 by 5 matrix, E by typing: Type: Ε=[11 2-134:10-1-2-1; 8 3 2 11:10-2-3-2:1112-1]. Find det(E) by typing: Type DE =det(E)

Answers

The `det(E2) of the given matrix is equal to 366`.

Given a 5 by 5 matrix E= `[11 2 -1 -3 4;10 -1 -2 -1 -2;-1 2 3 2 1;1 1 1 -1 -1;2 -1 -2 1 1]`.

To find `det(E)`, we can use the following steps.

Step 1: Create a 5 by 5 matrix E1 by adding a multiple of the ith row to the jth row, given i = 3 and j = 5.

We need to add -1/3 times the 3rd row to the 5th row. It can be done by the following operation.`E1 = E` (start with the original matrix) `=> E1(5,:) = E(5,:) - E(3,:) / 3` (subtract the 3rd row of E divided by 3 from the 5th row of E)

This results in the matrix `E1 = [11 2 -1 -3 4;10 -1 -2 -1 -2;-1 2 3 2 1;1 1 1 -1 -1;1/3 -7/3 -7/3 7/3 4/3]

`Step 2: Create a 5 by 5 matrix E2 by adding a multiple of the ith row to the jth row, given i = 2 and j = 5.We need to add -20 times the 2nd row to the 5th row.

It can be done by the following operation.`E2 = E1` (start with the matrix from Step 1) `=> E2(5,:) = E1(5,:) - 20 * E1(2,:)` (subtract 20 times the 2nd row of E1 from the 5th row of E1)

This results in the matrix `E2 = [11 2 -1 -3 4;10 -1 -2 -1 -2;-1 2 3 2 1;1 1 1 -1 -1;0 -13 33 -13 44]

`Step 3: Find det(E2) by using the cofactor expansion along the 5th column.`det(E2) = 0 - (-13) * A1 + 33 * A2 - (-13) * A3 + 44 * A4 - 0 * A5`where A1, A2, A3, A4, and A5 are the 2 by 2 determinants of the submatrices obtained by deleting the 5th row and the ith column, for i = 1, 2, 3, 4, and 5. We can use the following notation.

A1 = det([11 -1 -3 4;10 -2 -1 -2;-1 3 2 1;]) = 324A2 = det([11 2 -3 4;10 -1 -1 -2;-1 2 2 1;]) = -54A3 = det([11 2 -1 4;10 -1 -2 -2;-1 2 3 1;]) = -142A4 = det([11 2 -1 -3;10 -1 -2 -1;-1 2 3 2;]) = 50A5 = det([11 2 -1 -3;10 -1 -2 -1;-1 2 3 2;]) = 366.

Therefore `det(E2) = 0 - (-13) * 324 + 33 * (-54) - (-13) * (-142) + 44 * 50 - 0 * 50 = 366`.

for such more questions on determinant

https://brainly.com/question/19799535

#SPJ11

Other Questions
Was the Indian Removal Act a reflection of democracy or dictatorship? a study was conducted on students from a particular high school over the last 8 years. the following information was found regarding standardized tests used for college admitance. scores on the sat test are normally distributed with a mean of 990 and a standard deviation of 201. scores on the act test are normally distributed with a mean of 21.6 and a standard deviation of 4.1. it is assumed that the two tests measure the same aptitude, but use different scales.If a student gets an SAT score that is the 70-percentile, find the actual SAT score. SAT score = _____ Round answer to a whole number. What would be the equivalent ACT score for this student? ACT score = ____Round answer to 1 decimal place.If a student gets an SAT score of 1536, find the equivalent ACT score. ACT score = ____ Round answer to 1 decimal place. 2) what is r, the radius of curvature of the motion of the proton while it is in the region containing the magnetic field? fill in the blank. for the most part, my dad was very___, rarely showing his emotions; but once in a while he would grow___and sentimental about the past. explain three ways that show how your personal online profile or post could negatively influence a prospective employers view of you during the recruitment process Select the feature(s) common to ecdysozoans. (Choose one or more.)A. spiral cleavageB. Intermittent growth with moltingC. Waxy cuticleD. Continuous growth By producing motorcycles that do more than get riders to their designation and back, Harley-Davidson is addressing consumers' ______ needs. on a reciprocating engine aircraft using a shrouded exhaust muffler system as a source for cabin heat, the exhaust system should be A ________ is a combination of different types of flows through a process. Multiple Choice- capacity mix- product mix- demand matrix- product matrix In the context of security standards and compliance, which two (2) of these are considered normative and compliance items?They help translate the business needs into technical or operational needs.They serve as an enforcement mechanism for government, industry or clients.They seek to improve performance, controls and metrics.They are rules to follow for a specific industry. Patrick has the following labor supply curve:The substitution effect of a higher wages outweighs the income effect when wages are _.The substitution effect is the phenomenon the workers chose to work _hours when they are given a raise, because_. Milan bought packs of pencils. Each pack has pencils. Write an equation to represent the total number of pencils that Milan bought. What is the gravitational force acting on a 70.0 kg object standing on the Earths surface? how does the torque due to the weight of one side of the broom exerted around the balance point compare with the torque exerted by the weight of the other side of the broom around the balance point? (EMERGENCY) I need to know how exponents work find the equation of the line with the given properties. express the equation in general form or slope intercept form. perpendicular to the line -4x+y=43 ; contains the point (-8,10) Suppose within your Web browser you click on a link to obtain a Web page, and the Web page is consisting of one HTML text with eight referenced objects. Let RTT0 denote the RTT between the local host and the server containing the object, the link transmission bandwidth is R, and the HTML text file size is L0 and the reference objects have a size of L1, L2, L3, , L8, respectively. How much time elapses from when the client clicks on the link until the client receives the object in the following scenarios?a. Non-persistent HTTP with no parallel TCP connections?b. Non-persistent HTTP with the browser configured for 9 parallel connections?c. Persistent HTTP with no parallel TCP connection?d. Persistent HTTP with the browser configured for 9 parallel connections? A pendulum is made by hanging a mass from a string. The mass is released from rest with the string at a 20 angle with respect to the vertical. Find the magnitude of the mass's acceleration as it passes through the lowest point of its motion a) g b) 0.78gc) 0.56g d) 0.34g Which of the following vendors offers the largest variety of editions for its operating system? When some students get an "F" as a grade, they interpret that letter as a message: "You are a failure." That interpretation is not accurate. Getting an "F' means only that you failed a test or an assignment- not that you failed your life.From now on, experiment with a new way of thinking. Imagine that the letter F when used as a grade represents the word feedback. An "F" is an indication that you didn't understand the material well enough. It's an invitation to do something new to increase your skills and knowledge.Within 24 hours after a graded test is returned to you (no matter what the grade), spend at least five minutes reviewing it. Then answer the following questions.1. On what material did the teacher base test questions- readings, lectures, discussions, or other class activities?2. What types of questions appeared in the test-objective (such as matching items, true/false questions, or multiple choice), short-answer, or essay? Did you miss certain types of questions more than others? If so, which types?3 How well did you prepare for the test? When studying, did you focus yourattention and avoid distractions-or did you end up multitasking? Also, howmany classes did you attend, and how many of the assigned readings did you complete?4. Now look for clues for new study strategies. Do your notes from class and onassigned readings contain answers to the questions that you missed? If not,then how can you read or take notes differently to capture the content thatyou've been missing? (Note: This can be a useful question to ask yourinstructors.) For example, instead of simply skimming your notes, you couldrewrite them to be more organized and complete. Instead of glancing over thepassages of a textbook that you highlighted, you could write answers to thereview questions at the end of each chapter.5 Can you learn anything from the instructor's comments on this test that will help you prepare for the next test?6. Can you now correctly answer the questions that you missed?7. After answering the above questions, write an Intention Statement about avoiding test-taking errors in the future.I intend to.