The scores from a 20 point algebra quiz are shown.
18, 10, 17, 19, 13, 9, 7, 12, 20, 15

The percentile of a test score can be defined as the percent of test scores less than or equal to that test score

Use this definition to find the percentile of the test score 12

The test score 12 is at the ___th percentile

Answers

Answer 1

Answer:

Percentile = 90

Therefore, the test score 12 is at the 90th percentile.

Step-by-step explanation:

Percentile = (Number of scores less than or equal to score) / (Total number of scores) * 100

Percentile = (9) / (10) * 100

Answer 2

Answer:

Percentile = 90Therefore, the test score 12 is at the 90th percentile

Percentile = (Number of scores less than or equal to score) / (Total number of scores) * 100Percentile = (9) / (10) * 100Step-by-step explanation:


Related Questions

Independent Practice
Graph the following function. Then, write the domain and range.
f(x)=3*
*HINT: Make a table first

Answers

Based on the graph of this exponential function, the domain and range are as follows;

Domain = {-∞, ∞}.

Range = {0, ∞}.

What is a domain?

In Mathematics, a domain is the set of all real numbers for which a particular function is defined.

Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = {-∞, ∞}.

Range = {0, ∞} or {y|y > 0}.

Read more on domain here: brainly.com/question/17440903

#SPJ1

Radio tower are used for transmitting a range of communication services including radio television .the tower will either act as an antenna itself or support one or more antennas on its structure, including microwave dishes .They are among the tallest human made structure. There are 2 main types guyed and self supporting structures.

Answers

a) Height of section A is 15.21 m, b) the length of the wire structure from the point O to the top of section A is 51 units and the length of the wire structure from the point O to the top of section B is 41.56 units

What is height and distance?

Height is the measurement of an item in the vertical direction, whereas distance is the measurement of an object in the horizontal direction from a certain location.

Given that an arrangement of wires and tower, making it as two right triangles, Let us consider the foot of the tower be C (refer to image attached)

Using the concept of height and distance, we will find the asked measurements,

a) What is the height of the section A?

CA = tan 45° × CO [tan 45° = 1]

CA = 36 m

Similarly,

CB = tan 30° × CO [tan 30° = 0.577]

CB = 20.78

Height of section A = CA - CB

= 15.21 m

b) What is the length of the wire structure from the point O to the top of section A?

OA = AC / sin 45°

OA = 36 / 0.707

OA = 51

Therefore, the length of the wire structure from the point O to the top of section A is 51 units

c) What is the length of the wire structure from the point O to the top of section B?

OB = BC / sin 30°

OB = 41.56

Therefore, the length of the wire structure from the point O to the top of section B is 41.56 units

Hence, the answers are a) Height of section A is 15.21 m, b) the length of the wire structure from the point O to the top of section A is 51 units and the length of the wire structure from the point O to the top of section B is 41.56 units

Learn more about height and distance, click;

https://brainly.com/question/15939509

#SPJ9

The complete question is :-

Radio towers are used for transmitting a range of communication services including radio and television. The tower will either act as an antenna itself or support one or more antennas on its structure, including microwave dishes. They are among the tallest human-made structures. There are 2 main types: guyed and self-supporting structures.

On a similar concept, a radio station tower was built in two sections A and 6. Tower is supported by wires from a point O. Distance between the base of the tower and point O is 36 m. From point O, the angle of elevation of the top of section B is and the angle of elevation of the top of section A is

On the basis of the above information, answer any three of the following questions

*(i) What is the height of the section A?*

*(ii)What is the length of the wire structure from the point O to the top of section A?*

*(iii) What is the length of the wire structure from the point O to the top of section B ?*​

Does someone mind helping me with this problem? Thanks!

Answers

By evaluating the linear equation we can see that the complete table is:

x|  -4   -2  0  2  4

y| 17    13  9   5  1

How to compete the table?

Here we have a linear function:

y = -2x + 9

And we want to complete the given table, to do so, we just need to evaluate the linear function in the given values of x.

if x = -2

y = -2*-2 + 9 = 4 + 9 = 13

if x = 0

y = -2*0 + 9 = 9

if x = 2

y = -2*2 + 9 = 5

if x = 4

y = -2*4 +9 = 1

Then the complete table is:

x|  -4   -2  0  2  4

y| 17    13  9   5  1

Learn more about linear equations at:

https://brainly.com/question/1884491

#SPJ1

Trapezoid PQRS has vertices P(0, 0), Q(0, 6), R(8, 6), and S(14, 0). What is the length of the midsegment?​

Answers

Using the trapezoid midsegment theorem, the length of the midsegment of trapezoid PQRS is 11 units,

What is the Midsegment of a Trapezoid?

The Trapezoid Midsegment Theorem states that the length of the midsegment of a trapezoid is equal to the average of the lengths of the bases (the parallel sides). Mathematically, this can be expressed as:

length of midsegment = (length of base₁ + length of base₂) / 2

In the case of trapezoid PQRS, the bases are QR and PS.

The length of QR is 8 units and the length of PS is 14 units.

Therefore, the length of the midsegment can be calculated as:

length of midsegment = (8 + 14) / 2

length of midsegment = 22 / 2

= 11 units

Learn more about the midsegment of a trapezoid on:

https://brainly.com/question/4451516

#SPJ1

What happens when a distribution is skewed to the right?

Answers

Answer:

Step-by-step explanation:

A distribution is said to be skewed to the right (also known as positively skewed) if it has a longer tail on the positive side of the mean or median, indicating that the majority of the data values are on the lower end and there are a few large values on the higher end. This results in a mean that is larger than the median.

In other words, the right skew occurs when the tail of the distribution is located to the right side of the peak, which pulls the mean to the right as well. The presence of outliers or extreme values on the right side of the distribution can cause right skew.

Right-skewed distributions are common in data sets that represent measurements or quantities that have a minimum value of zero or a natural lower limit, but can increase without bound, such as income, wealth, and height.

In summary, when a distribution is skewed to the right, it has a higher mean and lower median compared to a symmetrical distribution, and the majority of the data is concentrated on the left side.

Custom Castings, Inc. pays its employees on a piece-rate basis of $1.28 for each acceptable piece produced. What gross pay was earned by an employee whose production of 483 pieces included 9 pieces
that did not pass inspection?

Answers

To find the gross pay earned by the employee, we need to first calculate the number of acceptable pieces that the employee produced.

The total number of pieces produced by the employee is 483, but 9 of those pieces did not pass inspection. Therefore, the number of acceptable pieces produced by the employee is:

483 - 9 = 474

Now we can calculate the gross pay earned by the employee by multiplying the number of acceptable pieces produced by the piece rate of $1.28:

Gross pay = 474 x $1.28
Gross pay = $606.72

Therefore, the employee earned a gross pay of $606.72.

Write the word sentence as an inequality. Then solve the inequality.
225 is no less than 3/4 times a number w .
An inequality that represents this word sentence is.
The solution is

Answers

3/4w <= 225
Multiplying both sides by 4/3 to isolate w:
w >= (225 * 4)/3
w >= 300

So, the solution is w >= 300. That means that the number w has to be equal to or greater than 300 in order to satisfy the inequality.

Answer:

Like the other solver, I believe they are correct because I arrived at the same solution:

3/4w <= 225

Multiplying both sides by 4/3 to isolate w:

w >= (225 * 4)/3

w >= 300

Solution is w >= 300. In order to meet the inequality, the value of w must be equal to or larger than 300.

The freshman class at Arlington High school is made up of 480 female students. This represents 65% of the freshman class. How many total students are freshmen?

Answers

The number of freshmen that are students is 738

How to calculate the number of freshmen that are students?

Let y represent the number of students that are freshmen

The freshmen class is made up of 480 female students

This number represents 65% of the freshmen class

Therefore the total number of students that are freshmen can be calculated as follows

y × 65/100= 480

65y/100= 480

Cross multiply both sides

65y= 480 × 100

65y= 48000

y= 48000/65

y= 738.4

≅ 738

Hence 738 students are freshmen

Read more on students here

https://brainly.com/question/28184467

#SPJ1

Ruby says that a quadrilateral is a square if and only if it is a rectangle. Is this a true biconditional statement?.

Answers

The statement "a quadrilateral is a square if and only if it is a rectangle" made by Ruby is a true biconditional statement in mathematical terms.

A quadrilateral is a four-sided shape that can have different properties based on its sides and angles.

Ruby says that a quadrilateral is a square if and only if it is a rectangle. This statement can be written as:

(Q is a square) if and only if (Q is a rectangle)

To understand if this statement is a true biconditional statement, we need to examine the definition of a square and a rectangle and how they relate to each other.

A square is a type of quadrilateral where all four sides are equal in length and all four angles are equal (90 degrees). In other words, a square is a rectangle that has four equal sides.

A rectangle is a type of quadrilateral where all four angles are equal to 90 degrees. This means that the opposite sides are parallel and equal in length.

Based on the definitions, we can conclude that the statement "a quadrilateral is a square if and only if it is a rectangle" is a true biconditional statement.

This means that if a quadrilateral is a square, it is also a rectangle and vice versa. If a quadrilateral is not a square, it cannot be a rectangle.

To know more about rectangle here.

https://brainly.com/question/8663941

#SPJ4

The change in the number of students at a high school in Naples was the same from 2007 to 2013 as it was from 2013 to 2019.

Which type of function best models the data?

Answers

Answer: The type of function that best models the data would depend on the actual change in the number of students and the specific data points for each year. However, if the change in the number of students was the same for each time period, a linear function would be a good candidate for modeling the data. This function would have the form y = mx + b, where m represents the rate of change (the change in the number of students over a certain time period) and b is the y-intercept (the number of students at the starting year).

Step-by-step explanation:

Robert is painting a house. He has 35 cans of paint. He has used 30 kinds of paint on the walls perit now he needs to paint the trim. If each section of the trim takes 1/2 can of paint, how many sections of trim can he paint? Show your answer as an inequality with symbols, in words, and with a number line. Make sure your solution makes sense for this situation.​

Answers

Answer: Robert has 35 cans of paint - 30 cans of paint that he has already used = 35 - 30 = 5 cans of paint left.

Since each section of trim takes 1/2 can of paint, Robert can paint 2 sections of trim with 1 can of paint.

Therefore, Robert can paint 5 cans of paint * 2 sections of trim per can = 10 sections of trim.

The inequality can be written as 10 <= sections of trim <= 10.

In words, the number of sections of trim that Robert can paint is less than or equal to 10.

On a number line, this solution can be represented as follows:

[9, 10, 11, ...]

 ^

 |

sections of trim

The solution makes sense because Robert has only 5 cans of paint left, so it is not possible for him to paint more than 10 sections of trim.

Step-by-step explanation:

Learn what an identity matrix is and about its role in matrix multiplication. ... How do you find the multiplicative inverse of a given matrix?

Answers

Answer:

See below

Step-by-step explanation:

[tex]I_1=[1],\, I_2=\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right],\,I_3=\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right],\,...[/tex] and so on are examples of identity matrices.

The multiplicative inverse of a 2x2 matrix is [tex]\displaystyle A^{-1}=\frac{1}{ad-bc}\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right][/tex] where ad-bc represents the determinant. Multiplying this with the original matrix will produce the identity matrix as described previously. Usually, you'll mostly deal with 2x2 matrices when it comes to this topic, but don't worry too much.

Graph the angle -4pi/3 in standard position :)

Answers

The point (-0.5, 0.866) represents the angle -4pi/3 graphed on the unit circle.

What is the unit circle?

For an angle [tex]\theta[/tex] the unit circle is a circle with radius 1 containing the following set of points: [tex](\cos{\theta}, \sin{\theta})[/tex].

The angle for this problem is given as follows:

-4pi/3.

Hence the sine and the cosine are given as follows:

sin(-4pi/3) = 0.866.cos(-4pi/3) = -0.5.

Hence the point (-0.5, 0.866) represents the angle -4pi/3 graphed on the unit circle.

(the equation of the unit circle is x² + y² = 1).

More can be learned about the unit circle at https://brainly.com/question/26284611

#SPJ1

What is 45% in decimal?

Answers

45% in decimal form is 0.45.

Percentages are a way of expressing a fraction or proportion of a whole, with the whole being represented by 100%. To convert a percentage to a decimal, we simply divide by 100.

In this case, we have 45%. Dividing 45 by 100 gives us 0.45, which is the decimal equivalent of 45%.

Decimal numbers are a base-10 system that uses the digits 0 through 9 to represent all possible values. They are commonly used in mathematics, finance, and science for their precision and ease of calculation.

Converting percentages to decimals is an important skill to have when dealing with calculations involving percentages, such as taxes, discounts, and interest rates.

To know more about base-10 system click on below link:

https://brainly.com/question/19460684#

#SPJ11

A triangle has vertices on a coordinate grid at

J(-7,−7) K(−7,3) and L(−1,3)
What is the length, in units, of JK ?

Answers

The requried measure of length JK on the coordinate plane is 10 units.

How to calculate the length between two points (x₁, y₁) and (x₂, y₂)?

The distance between two points on the coordinate plane can be evaluated by the distance formula as,
D = √((x₂ - x₁)^2 + (y₂ - y₁)²)

Here,
The coordinates of the two points J(-7, -7) and K(-7, 3) suggest that they lie on a vertical line, where the x-coordinate is constant (-7) and only the y-coordinate changes. The distance between these points is equal to the difference in their y-coordinates.
Therefore, the length of JK is,
JK = |y-coordinate of K - y-coordinate of J|
    = |3 - (-7)| = |3 + 7| = 10

So, the length of JK is 10 units.

Learn more about the distance formula here:
https://brainly.com/question/12674171
#SPJ9

please help

question 10!

Answers

The note Micah made for the test on right triangles is correct by the Pythagoras rule.

What is the Pythagoras rule?

The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 

so by Pythagoras rule we can write:

For the first right triangle;

(x/√2)² + (x/√2)² = x²...(1)

from the left hand side of equation (1): (x/√2)² + (x/√2)²

x²/2 + x²/2

2(x²)/2 = x² {the right hand side of equation (1)}

and for the second right triangle;

(x√3/2)² + (x/2)² = x²...(2)

from the left hand side of equation (2): (x√3/2)² + (x/2)²

x²(3)/4 + x²/4

3x²/4 + x²/4

(3x² + x²)/4

4x²/4 = x² {the right hand side of equation (2)}

Therefore by Pythagoras rule the note Micah made for the test on right triangles is correct

Know more about Pythagoras here:https://brainly.com/question/343682

#SPJ1

How do you convert grams to moles per gram?

Answers

To convert grams to moles per gram, you need to find the molar mass of the substance in grams per mole. Then, divide the number of moles by the given mass to get moles per gram.

To convert grams to moles per gram, you first need to determine the molar mass of the substance you are interested in. The molar mass is the mass of one mole of the substance, expressed in grams. Once you know the molar mass, you can use it to convert grams to moles, and then divide by the total mass to get moles per gram.

Here are the steps to follow:

Determine the molar mass of the substance. This is the sum of the atomic masses of all the atoms in the molecule, expressed in grams per mole. You can find the atomic masses on the periodic table.

Convert the given mass from grams to moles, using the formula:

moles = mass / molar mass

where mass is the given mass in grams, and molar mass is the calculated molar mass in grams per mole.

Divide the number of moles by the given mass, to get the moles per gram. This gives you the number of moles of the substance per gram of the sample.

To learn more about moles per gram please click on below link        

https://brainly.com/question/2076834

#SPJ4


Pls help its due today at 1:30

Answers

Note that using relationship 1 where

A = 50°; and

Y = 110°

Angle b = 70°; and

Angle c = 60°

This means that the triangle is a scalene triangle.

What is the rationale for the above response?

Since a = 50° - Given; and

y = 110° - Given

to determine the m∠b, you must use the concept of sum of angles on a straight line. Sum of angles on a straight line must always equal 180°

Thus,

b = 180 - y

b = 180 - 110

b = 70°

To determine the m∠c, we used the sum of angles in a Δ theorem. This states that all angles in Δ must equal 180°

Since

a = 50° - Given; and

b = 70° - as derived above,

c = 180 - (a + b)

c = 180 - (50 + 70)

c = 180 - 120

c = 60°

Learn more about scalene triangles:
https://brainly.com/question/10651823
#SPJ1

t = A/4b-D
Single step literal equations solve for A

Answers

The equation for A is A=4b(t+D) from t = A/4b-D.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is t = A/4b-D

t equal to A by four times of b minus D

The variables in the equation are A, b and D.

The formula is given for the variable t.

We need to change the formula to find the value of A.

We need to solve for A.

Add D on both sides

t+D=A/4b-D+D

The positive and negative D on right side of the equation will be cancelled and left with A/4b.

t+D/1=A/4b

Now apply cross multiplication

A=4b(t+D)

Hence, the equation for A is A=4b(t+D) from the t = A/4b-D.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ9

Determine the equation of the circle graphed below

Answers

The equation of the circle graphed is given as follows:

(x + 3)² + (y - 4)² = 41.

What is the equation of a circle?

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

The center in this problem has the coordinates given as follows:

(-3,4).

Hence:

(x + 3)² + (y - 4)² = r².

x = -1 and y = 9 is a point on the circumference of the circle, hence the radius of the circle is obtained as follows:

r² = (-1 + 3)² + (9 - 4)²

r² = 41.

More can be learned about the equation of a circle at https://brainly.com/question/1506955

#SPJ1

Which one of these ordered pairs show a combination of 12 coins from the graph?



Which one of these ordered pairs show a combination of 12 coins from the graph?


(10, 2)

(5, 5)

(10, 5)

(10, 10)

Answers

The ordered pair that show a combination of 12 coins from the graph is (10, 2)

How to determine the ordered pair

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

The graph

The purple line represents the combination of 12 coine

Using the above as a guide, we have the following:

The equation is

x + y = 12

From the list of options, we have

(10, 2): 10 + 2 = 12

Hence, the ordered pair is (10, 2)


Read more about ordered pair at

https://brainly.com/question/12477167

#SPJ1

May i get some help Fast please

Mr. Fernandez deposits $60,000 into an account that pays 2.5% annual interest compounded quarterly. What will be the balance after 20 years? Round to the nearest cent

Answers

:Answer: $90000

i = prt (interest = principle x rate x time)

i = 60000 x 0.025 x 20

i = $30000 interest

b = p + i (balance = principle + interest)

b = 60000 + 30000

b = $90000 balance

Use the rules of equations and Inverse operations to solve the equation.
3x² = 48
04
0 +4
0 -4
0+2

Answers

Answer:

Below

Step-by-step explanation:

3 x^2 = 48      divide both sides of the equation by 3 to get

x^2 = 16         Now, sqrt both sides

x = + 4  or  -4

what is (fxg)(x)

f(x)=x^3-4x+2
g(x)=x^2+2

Answers

Answer: x^6+6x^4+8x^2+2

Step-by-step explanation:

Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in

(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2

I need help with this please and thank you.

Answers

The standard form of the Polynomial would be [tex]x^{4}[/tex]  -x³ /2 -8

What is polynomial?

The term "polynomial" refers to a mathematical statement of one or more algebraic terms in which the variables are all of non-negative integer powers. Variables, fixed values, and exponents are all present in the terms. The degree 'n' standard form polynomial is Standard form is one method of expressing a polynomial.

We must consider each term's degree in order to write any polynomial in standard form.

Given the polynomial -8 -x³ /2 -xx³ with the highest degree comes first, followed by x raise to power 4, and then the constant, -8, comes last.

Thus, we would have:

[tex]x^{4}[/tex]  -x³ /2 -8

To learn more about Polynomial refer to :

brainly.com/question/1600696

#SPJ1

Show that the quadrilateral with the vertices $H(1,\ 9),\ J(4,\ 2),\ K(5,\ 2),\ L(8,\ 9)$H(1, 9), J(4, 2), K(5, 2), L(8, 9)​ is a trapezoid. Then decide whether it is isosceles.

Answers

The midpoints of the given quadrilateral, AB = CD and AD = BC, are equal.

What is meant by quadrilateral vertices?Vertices are the angular intersections of two sides or edges. The four vertices of a quadrilateral are A, B, C, and D. (iii)Angles. A quadrilateral's angle is the inclination between its two sides.A closed quadrilateral is a form of polygon with four sides, four vertices, and four angles. Four non-collinear points are joined to create it. Quadrilaterals' interior angles add up to a constant 360 degrees.A polygon's vertex is a point where the sides or edges of the object or two rays or line segments meet. Vertices is the plural of a vertex.

Let P represent the quadrilateral's vertices (-4,2) Q (2,6): Let A, B, C, and D be the midpoints of P(-4,2) and Q. R(8,5) and S (9,-7) (2,6)

Consequently, A's coordinates are

[tex]$\left(\frac{-4+2}{2}, \frac{2+6}{2}\right)=\left(\frac{-2}{2}, \frac{8}{2}\right)=(-1,4)$[/tex]

Coordinates of B are

[tex]$\left(\frac{2+8}{2}, \frac{6+5}{2}\right)=\left(\frac{10}{2}, \frac{11}{2}\right)=\left(5, \frac{11}{2}\right)[/tex]

Coordinates of c are

[tex]$\left(\frac{8+9}{2}, \frac{5-7}{2}\right)=\left(\frac{17}{2}, \frac{-2}{2}\right)=\left(\frac{17}{2},-1\right)[/tex]

coordinates of D are [tex]$\left(\frac{9-4}{2}, \frac{7+2}{2}\right)=\left(\frac{5}{2}, \frac{-5}{2}\right)$[/tex]

Distance between A and B

[tex]$& d(A, B)=\sqrt{(-1-5)^2+\left(4-\frac{11}{2}\right)^2}=\sqrt{36+\frac{9}{4}}=\sqrt{\frac{153}{4}} \\[/tex]

Simplify,

[tex]$& d(C, D)=\sqrt{\left(\frac{17}{2}-\frac{5}{2}\right)^2+\left(-1+\frac{5}{2}\right)^2}=\sqrt{36+\frac{9}{4}}=\sqrt{\frac{153}{4}} \\[/tex]

Then,

[tex]$& d(A, D)=\sqrt{\left(-1-\frac{5}{2}\right)^2+\left(4+\frac{5}{2}\right)^2}=\sqrt{\frac{49}{4}+\frac{169}{4}}=\sqrt{\frac{218}{4}} \\[/tex]

We get,

[tex]$& d(B, C)=\sqrt{\left(5-\frac{17}{2}\right)^2+\left(\frac{11}{2}+1\right)^2}=\sqrt{\frac{49}{4}+\frac{169}{4}}=\sqrt{\frac{218}{4}}[/tex]

As a result, the given quadrilateral's midpoints, AB = CD and AD = BC, are equal.

It is a parallel gramme as a result.

The complete question is :

A quadrilateral has the vertices at the point (−4,2),(2,6),(8,5) and (9,−7). Show that the mid-point of the sides of this quadrilateral are the vertices of a parallelogram.

To learn more about quadrilateral, refer to:

https://brainly.com/question/23935806

#SPJ1

find the values of x , y and z

Answers

Answer:

y+75°=180°[co interior angle]

or,y=180-75

•°•y=105

again,

y=z(alternate angle)

•°•z=105°

now

z+x+68°=180(sum of angle of triangle is 180)

or,105+68+x=180

or,x+173=180

or,x=180-173

•°•x=7

A rectangle with side lengths y and z has perimeter 2y+2z. Elizabeth bought a rectangular painting of the seashore and wants to decorate the edges with sky-blue ribbon. The painting is 2 feet long and 1.5 feet wide.
What is the perimeter of the painting?

Answers

The  perimeter of the painting 7 feet.

What is Perimeter?

Perimeter is the distance around the edge of a shape. To find the perimeter by adding up the side lengths of various shapes.

Given:

A rectangle with side lengths y and z has perimeter 2y+2z.

Elizabeth bought a rectangular painting whose length = 2 ft and width = 1.5 ft.

So, the  perimeter of the painting

= 2l+ 2w

= 2(2)+ 2(1.5)

= 4 + 3

= 7 feet

Learn more about Perimeter here:

https://brainly.com/question/6465134

#SPJ1

Which statements are true about the median? Check all that apply.

1. Put the values in numerical order before trying to find the median.

2. Median is a number that is much lower or much higher than the rest of the numbers.

3. The median is always greatly impacted by outliers.

4. The median is the number in the middle of an ordered set of values.

5. The median must be calculated by finding the mean of the two middle points when
there is an even number of data points.

Answers

Look I’m the comments

Assume that we have two events, A and B; that are mutually exclusive Assume further that we know P(A) = 0.30 and P(B) = 0.70. If an amount zero, enter "0". What is P(AnB)? What is P(AIB)? student in statistics argues that the concepts of mutually exclusive events and independent events are really the same_ and that if events are mutually exclusive they must be independent; Do You agree with this statement? Use the probability information in this problem to justify your answer. Select your answer because P(AIB) Select your answer P(A). What genera conclusion would You make about mutually exclusive and independent events given the results of this problem?

Answers

P(A∩B) = 0 (the probability of both events occurring is zero).

P(A|B) = 0.

No. The student's argument that mutually exclusive events are independent is incorrect.

How to find P(AnB) and P(AIB) of the event?

If events A and B are mutually exclusive, then by definition they cannot occur at the same time.

Thus, P(A∩B) = 0 (the probability of both events occurring is zero).

Since events A and B are mutually exclusive, they cannot be independent. In fact, if two events are mutually exclusive, it means that the occurrence of one event precludes the occurrence of the other event, so they are completely dependent on each other.

To calculate P(A|B), we can use the formula:

P(A|B) = P(A∩B) / P(B)

Since P(A∩B) = 0 and P(B) = 0.70, we have:

P(A|B) = 0 / 0.70 = 0

This means that if we know event B has occurred (i.e., P(B) > 0), then the probability of event A occurring (i.e., P(A|B)) is zero. Therefore, events A and B are not independent.

The student's argument that mutually exclusive events are independent is incorrect. Mutually exclusive events are by definition dependent events.

In general, the concept of mutually exclusive events and the concept of independent events are not the same. Mutually exclusive events are dependent events, while independent events are events that do not depend on each other.

In this problem, the fact that events A and B are mutually exclusive means that they are dependent events, and this is reflected in the probability calculation for P(A|B), which is zero. Therefore, we can conclude that mutually exclusive events are not independent events.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

Other Questions
raindrops fall vertically downward at a speed of 5.42 m/s. a car drives forward at a speed of 10.3 m/s. The radius of a circle is 17 meters. What is the circle's circumference? Whichof the following is the correct Newman projection for the following compound as viewed down the indicated bond in the conformttion shown? CH, TCH; CHj Which of the following correctly describes the role of rubisco in the Calvin cycle?A) rubisco uses ATP to regenerate RuBPB) rubisco incorporates CO2 from the atmosphere into an organic moleculeC) none of the answers options are correctD) rubisco uses NADPH to reduce 3-phosphogylcerate to a 3-carbon sugar The tension T at each end of a chain has magnitude 25 N (see the figure). What is the weight of the chain? Darwin's theory of natural selection states that there is a struggle to survive as organisms compete for resources and try to avoid predation. Over time, the organisms best adapted will survive and pass their traits to offspring. Why does this occur?. which of these s an example of climate change Is it polite to say at your earliest convenience? what are some example of negative feedback homeostasis ? In a binomial experiment, is it possible for the probability of success to change from one trial to the next? Explain.a. No. A binomial experiment requires that the probability of success be the same for each trial.b. Yes. The probability of success is random and changes for each trial.c. No. A binomial experiment requires that the probability be the same for success and failure.d. Yes. The director of the experiment can choose any probability of success for each trial. Entire plants can be cloned from individual somatic cells. What phenomenon does this demonstrate?a. differentiated cells contain masked mRNAb. differentiated cells retain all the genes of the zygotec. genes are lost during differentationd. the differentiated state is normally very unstable Think about the article. How were Berkeley's and Princeton's treatment of Dr. Wu different? is how dark or light the color is, ranging from black to white. hue monochromatic luminosity value what is artificial resuscitation? when is it necessary to a victim. Would anyone understand this? Nor does this conclusion by any means suppose a superiority of the judicial to the legislative power. It only supposes that the power of the people is superior to both; and that where the will of the legislature, declared in its statutes, stands in opposition to that of the people, declared in the Constitution, the judges ought to be governed by the latter rather than the former. They ought to regulate their decisions by the fundamental laws, rather than by those which are not fundamental." According to Hamilton, who should be the keeper of the constitutional conscience? A client is risk averse and is planning on retiring in 16 years. The client is rolling over $100,000 from his 401(k) plan, all of which is currently invested in his former employer's stock. As the client's investment adviser, which of the following would you recommend?A)Keeping the money in the employer's stock. B)AAA rated zero-coupon bonds maturing in 16 years. C)Highly rated preferred stocks paying liberal dividends. D)Laddering US Treasury bills. the loyal knight killed me after changing to a yandere The for major types of transactions that affect equity in a business are... At which level of the pyramid of corporate social responsibility is Zappos operating? a. Level 1: economic responsibilities b. Level 2: legal responsibilities c. Level 3: Ethical responsibilities