At a local preschool there is a ratio of 3 boys to every 4 girls if there are 245 total preschoolers enrolled then how many boys are there

Answer:

Length NJ = x = 3

Step-by-step explanation:

Since the pentagons are similar, the ratio of each side of pentagon ABCDE to the corresponding side of pentagon JKLMN must be the same for all sides

Therefore
[tex]\dfrac{AB}{JK} = \dfrac{BC}{KL} =\dfrac{CD}{LM} = \dfrac{DE}{MN} = \dfrac{EA}{NJ}[/tex]

From the values provided for the lengths of the sides of the two pentagons this works out to:
[tex]\dfrac{2}{1} = \dfrac{3}{1.5} = \dfrac{3}{1.5} = \dfrac{2}{1} = \dfrac{6}{x}[/tex]

Each of the computable ratios = 2

This means
each side of  pentagon ABCDE  = 2 x each side of  pentagon JKLMN

Therefore we get
EA = 2 · NJ

6 = 2 x

x2x = 6

x = 6/2

x = 3

Note
I did not have to calculate all ratios. If the pentagons are similar, the ratios of the sides must be the same and therefore I needed to calculate only one ratio.

I wanted to cover all bases and make sure you understood

the average time of 27 minutes is not an accurate representation of the friends' actual times, so the example describes neither accuracy nor precision.

Precision refers to how close multiple measurements are to each other. In this example, the three friends' times are all close to each other (20 minutes, 21 minutes, and 21 minutes), so the measurements are precise.

Accuracy refers to how close a measurement is to the true or correct value. In this example, the average time of the three friends running a 5K is 27 minutes, but the actual average time should be 20.33 minutes (20 + 21 + 21 / 3). So, the measurement is not accurate.

However, the average time of 27 minutes is not an accurate representation of the friends' actual times, so the example describes neither accuracy nor precision.

To know more about average visit:

brainly.com/question/24057012

#SPJ4

As a result, the limit value is 0. This indicates that the derivative of the function f(x) = x² when x = -5 equals zero.

A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. A function is an equation that depicts the connection between an input x and an output y, with precisely one output for each input. Another name for input is domain, while another one for output is range.

Here,

The limit in question is a definition of the derivative of a function at a point. In this case, we want to evaluate the limit as h approaches 0 of the expression (f(x + h) - f(x)) / h, where f(x) = x² and x = -5.

Substituting the given values, we have:

lim _h right arrow 0 (x² + h²- x²) / h = lim _h right arrow 0 h² / h = lim _h right arrow 0 h = 0

So the value of the limit is 0. This means that the derivative of the function f(x) = x² at the point x = -5 is equal to 0.

To know more about function,

https://brainly.com/question/28193995

#SPJ4

The p-value is 0.0062  and we reject the null hypothesis

From the question, we have the following parameters that can be used in our computation:

n = 200, pi = 0.28; n2 = 300, p2 = 0.18

The p value is calculated as

Z = (p1 - p2) - (d0 /√(p * (1 - p) * (1/n1 + 1/n2)))

Where

d0 = 0.28 - 0.18 = 0.10.

So, we have

Z = (0.28 - 0.18) - (0.10 / √(0.23 * (1 - 0.23) * (1/200 + 1/300)))

Evaluate

Z = -2.50

Uisng the z-score table, we have

p = 0.0062

We reject the null hypothesis that the population proportions are equal

Read more about test of hypothesis at

https://brainly.com/question/15110538

#SPJ1

Answer:

I'm sorry but your question is not clear. Can you please provide more context or clarify what you are asking?

Refer to the attached images.

The values of the composite functions, obtained by evaluating the functions at a specified x value input are presented as follows;

1. f(h(-3)) = 14

2. g(h(-9)) = 110

3. f(g(x)) = 9 - x² - x

A composite funtion is a function that is applied to the output of another function.

The functions are; F(x) = 9 - x, g(x) = x² + x, h(x) = x - 2

The composite functions, which are functions that have a function as an input, aere evaluated as follows

1. h(-3) = (-3) - 2 = -5

f(h(-3)) = f(-5), therefore;

f(-5) = 9 - (-5) = 9 + 5 = 14

f(-5) = 14

f(h(-3)) = 14

2. h(-9) = -9 - 2 = -11

g(h(-9)) = g(-11)

g(-11) = (-11)² + (-11) = 121 - 11 = 110

g(-11) = 110

Therefore; g(h(-9)) = g(-11) = 110

g(h(-9)) = 110

3. g(x) = x² + x

f(x) = 9 - x

Therefore, f(g(x)) = f(x² + x) = 9 - (x² + x) = 9 - x² - x

f(g(x)) = 9 - x² - x

Learn more about composite functions here: https://brainly.com/question/29048585

#SPJ1

The function graphed above is:

Increasing on interval: (-3 0.5),

Decreasing on interval(s): (-∞ -3) and (0.5 ∞)

Real number intervals with growing and decreasing real-valued functions are referred to as increasing and decreasing intervals.

We apply the first-order derivative test to examine the sign of the derivative in each interval and identify the growing and decreasing intervals.

For the graph attached, the decreasing interval is

While the increasing interval is from -3 to 0.5

Learn more about increasing interval at:

https://brainly.com/question/30460486

#SPJ1

Answer:true

61.5 km = 61.5 x 1000 =61.500 m

Answer:

slope:-15

Y-intercept: 275

Step-by-step explanation:

say “x” is how many weeks have passed. Every week the total amount is less by 15. So that would be your slope. For the y-intercept, it says that Kayla starts with $275 in her bank account. So after 0 weeks, there is $275 there. This means that 275 is your y-intercept.

In this configuration, the number of circles that can be packed is already at its maximum of 10,000.

What is Equilateral triangle?

All sides of an equilateral triangle are the same length. That is, all of the triangle's angles will be congruent.

It is not possible to add more circles in this configuration because the centers of the tangent circles already form an equilateral triangle, which is the most efficient way to pack circles.

In this configuration, the number of circles that can be packed is already at its maximum of 10,000.

To know more about Equilateral triangle visit,

https://brainly.com/question/17264112

#SPJ1

The table is shown below:

x   0     5     8      10    30  

y 150  125  110   100   0

The altitude after 5 minutes is 125 feet and the altitude after 30 minutes is 0 feet

Part A :

To create a table for values when x=0, 5 , 8, 10, 30 substitute the values into the given equation y = -5x + 150

x= 0, y = -5(0) + 150 = 150

x=5, y = -5(5) + 150 = 125

x = 8, y = -5(8) + 150 = 110

x = 10, y = -5(10) + 150 = 100

x = 30, y = -5(30) + 150 = 0

x   0     5     8      10    30  

y 150  125  110   100   0

Part B:

altitude after 5 minutes is 125 feet

altitude after 30 minutes is 0 feet

The altitude after 5 minutes represent the altitude of the plane 5 minutes during descending.

The altitude after 30 minutes represent the altitude of the plane when descending is complete.

What is happening to the airplane at these time intervals is that the plane of the plane is reducing until it finally landed.

Learn more about equation on:

brainly.com/question/29330381

#SPJ1

The values of x and y are -1 and -5 respectively.

The perimeter is 22cm

We have that the opposite sides of a parallelogram are equal, then, we have that;

3y + 2x = 5y - 8

collect like terms

-2y + 2x = 8

Also,

2x + y= 4x - 3

-2x + y = -3

Make 'x' the subject from equation (2)

y = -3 + 2x

Substitute the value

-2(-3+2x) + 2x = 8

expand the bracket

6 -4x + 2x = 8

collect like terms

-2x = 2

x = -1

Then, y= -3 - 2 = -5

Perimeter = 2(8 + 3)

Perimeter = 22 cm

Hence, the value is 22cm

Learn about parallelograms on:

https://brainly.com/question/10744696

#SPJ1

Therefore, the solutions to the equation are (0, 0), (1, 1), (-1, 1), (2, 4), (-2, 4), (3, 9), and (-3, 9).

In arithmetic equations, the exact symbol (=) is used to denote the equivalence of two assertions. It is demonstrated that mathematical methods, which have acted as manifestations of reality, can be used to assess a variety of numerical factors. The equal sign actually splits the number 12 into two separate pieces, despite the fact that the result is y + 6 = 12.

Here,

We can plug in some arbitrary values for y to find the corresponding values of x:

y x

0 0

1 1

-1 1

2 4

-2 4

3 9

-3 9

Therefore, the solutions to the equation are (0, 0), (1, 1), (-1, 1), (2, 4), (-2, 4), (3, 9), and (-3, 9).

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

The area of the shaded portion of the given figure is 84 sq. units.

What is meant by area?

The size of a region on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a structure or planar lamina.

From the figure, we can conclude that,

Area of the shaded portion = Area of the square - Area of the four congruent parallelograms.

Now we have to find the area of square and parallelograms separately.

Area of square

Side length l = 12

Area = l *l = 12 * 12 = 144 sq. units

Area of parallelograms

Base b = 5

Height h = 3

Area of 1 parallelogram = b.h = 5 * 3 = 15 sq. units

Since all the parallelograms are congruent,

Area of all 4 parallelograms = 15 * 4 = 60 sq. units

Hence the area of the shaded portion of the given figure = 144 - 60

                                                                                          = 84 sq. units

To learn more about the area, follow the link.

https://brainly.com/question/1297097

#SPJ1

Answer:

4/3

Step-by-step explanation:

3/2 t + 2 = 4;

1.5t+2 = 4

1.5t = 2

t= 2/1.5 = 4/3

Answer:When adding and subtracting fractions, the denominators (the bottom numbers) must be the same. To do this, we need to find a common denominator. In this case, the least common multiple of the denominators 50 and 10 is 50. To convert 7/10 to an equivalent fraction with a denominator of 50, we multiply both the numerator and denominator by 5:

7/10 x 5/5 = 35/50

Now we can add the two fractions together:

3/50 + 35/50 = 38/50

So, the answer is 38/50.

Step-by-step explanation:

Answer: 664 (sorry if its wrong)

Step-by-step explanation:

17% of 800 is 136.

800-136=664

Step-by-step explanation:

800 ÷ 100 = 8 (1%)

8 × 17 = 136 (17%)

800-136=664

The fifth letter, Diego will type, is 'a'.

An ordered list of things is a sequence (or events). Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of ordered items (potentially infinite).

Given:

Han types the letters a, s, d, f.

And repeats the over and over.

That means,

a, s, d, f, a, s, d, f, a, s, d, f, ....

Here, the fifth letter is 'a'.

So, the Diego will type 'a'.

Hence, the fifth letter is 'a'.

To learn more about the sequence;

https://brainly.com/question/21961097

#SPJ1

Answer: A) T = 63 - 3.8A (where T is the temperature in °F, A is the altitude in thousands of feet)

(B) To find the altitude when the temperature is 9.8°F, we can substitute 9.8 for T and solve for A:

9.8 = 63 - 3.8A

3.8A = 63 - 9.8

3.8A = 53.2

A = 14

Step-by-step explanation:

The linear Equation in the form of p(n)=mn+b is p(n) = -0.005n + 999.85.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

In particular, historical data shows that 1,000 shirts can be sold at a price of $30 , while 3,000 shirts can be sold at a price of $20 .

p = price

n = number of shirts

m = slope of the line   (note, the more shirts, the lower the price, so we know it's going to be negative)

b = y intercept

so, the slope is

= (20- 30)/ (3000 - 1000)

= -10 / 2000

= -0.005

and, the equation is

p - 1000 = -0.005 ( n- 30)

p- 1000 = -0.005n + 0.15

p(n) = -0.005n + 999.85

Learn more about equation here:

https://brainly.com/question/29657992

#SPJ1

Answer:

Step-by-step explanation:

Answer: We can use the information given to find the values of A, B and C.

Let A represent the number of people who caught a mackerel,

B represent the number of people who caught a trout,

and C represent the number of people who caught both a mackerel and a trout.

From the information given, we know that:

A + 17 = 25 (the total number of people who went on the fishing trip)

B + 3 = A (the number of people who caught a mackerel)

C = B (the number of people who caught both a mackerel and a trout)

A + B + C + 6 = 25 (the total number of people who caught either a mackerel, a trout or both)

Solving for A, we get:

A = 22

B = 19

C = 19

Therefore, the values that should replace A, B and C in the frequency tree are:

A = 22, B = 19, C = 19.

Step-by-step explanation:

By adding the two given fractions we can see that Josiah ate 17/24 of his orange.

We know that first, Josiah ate 3/8 of his orange.

Then at this point, the remaining amount is 5/8 of the orange.

Then he ates 1/3 of the orange (the total orange, not the remaining amount)

Then the total fraction of the orange that he ate is:

3/8 + 1/3

Finding a common denominator we will get:

9/24 + 8/24 = 17/24

We conclude that Josiah ate 17/24 of his orange.

Learn more about fractions at:

https://brainly.com/question/11562149

#SPJ1

Answer:

y = 36

Step-by-step explanation:

Because the problem says y is proportional to the square root of x, we can assume that it is directly proportional.

The general formula for direct proportionality is

[tex]y=kx[/tex], where k is the constant of proportionality.

Taking into account the square root of x, we can use the following formula to find k by plugging in x and y:

[tex]y=k\sqrt{x}\\ 21=k\sqrt{49}\\ 21=7k\\3=k[/tex]

Since we found k, we can now use this value and the x we're given for the second part of the problem to find y:

[tex]y=3\sqrt{x} \\y=3\sqrt{144}\\ y=3*12\\y=36[/tex]

Answer: 25%

Step-by-step explanation:

Divide 17/68 = .25

Move decimal 2 places over = 25%

There are 604800 seconds in a week having 7 days. This is solved in the presence of python code.

The programming language Python is high-level and versatile. Its design philosophy emphasizes the importance upon code readability through usage of substantial indentation. Both Python's types and trash collection are dynamic. It is compatible with a wide range of development methodologies, including structured, object-oriented, and functional programming.

Among the simplest programming languages to learn for novices, Python is frequently cited. Python is a fantastic place to start if you want to learn how to programme. Aside from that, it's among the most popular.

Given that,

Seconds per Day = 86400 seconds

Days in a week = 7 days

To calculate

Seconds in a week = ?

Python Code

seconds Per Day = 86400

days in a week = 7

seconds in a week = days in a Week × seconds per day print (seconds in a week)

Output of the Code: 604800

There are 604800 seconds in a week having 7 days.

To know more about program refer to:

https://brainly.com/question/11023419

#SPJ4

There are 604800 seconds in a week having 7 days. This is solved in the presence of python code.

The programming language Python is high-level and versatile. Its design philosophy emphasizes the importance upon code readability through usage of substantial indentation. Both Python's types and trash collection are dynamic. It is compatible with a wide range of development methodologies, including structured, object-oriented, and functional programming.

Among the simplest programming languages to learn for novices, Python is frequently cited. Python is a fantastic place to start if you want to learn how to programme. Aside from that, it's among the most popular.

Given that,

Seconds per Day = 86400 seconds

Days in a week = 7 days

To calculate

Seconds in a week = ?

Python Code

seconds Per Day = 86400

days in a week = 7

seconds in a week = days in a Week × seconds per day print (seconds in a week)

Output of the Code: 604800

There are 604800 seconds in a week having 7 days.

To know more about programming refer to:

brainly.com/question/28874085

#SPJ4

The number of possible groups of council members who could have voted in favor of the budget increase is 6188. The calculation involves combinations.

Since the order in which the members voted is not required, this calculation does not involve permutations. It involves combinations.

The formula for calculating combinations is: [tex]_n C_r=\frac{n !}{r ! (n-r) !}[/tex]

where n, the total number of objects = 17

           r, sample size = 5

Putting the values in the equation,

The answer is 6188.

To know more about permutations and combinations,

https://brainly.com/question/28065038

The minimum point of a function f(x) is obtained as follows:

There are two requirements such that a value of x = a is a minimum point of a function f(x):

More can be learned about relative extremas of a function at https://brainly.com/question/1938915

#SPJ1

The height of the top of the tree from the ground is h = a * b / (a / b) = a * b

Let's call the height of the tree "h". Then, using trigonometry, we can write two equations to describe the two angles of elevation:

tan(a) = h / a

tan(ß) = h / b

Dividing these two equations, we get:

tan(a) / tan(ß) = h / a * b

Since tan(a) / tan(ß) = a / b, we can substitute this and simplify:

h = a * b / (a / b) = a * b

learn more about trigonometry: https://brainly.com/question/13729598

#SPJ1