The student council at Richmond High School
is made up of 646 female students 229
seniors, and 6% female seniors.
If a student is selected at random, what is the
probability, as a decimal to the nearest
hundredth, that the student is female given that
the student is a senior?

Answers

Answer 1

Answer:

[tex]P(F/S)=0.216[/tex]

Step-by-step explanation:

Let's call F the event that the student is female and S the event that the student is senior.

So, we need to find the probability P(F/S) that a student is female given that  the student is a senior. P(F/S) is calculated as:

P(F/S) = P(F∩S)/P(S)

Then, the probability P(F∩S) that a student is female and senior is equal to 0.06

On the other hand, we can calculate the total number of students x using the following equation as:

[tex]\frac{646}{x}+\frac{229}{x}-0.06=1[/tex]

Where 646/x is the percentage of female students, 229/x is the percentage of senior students and 0.06 is the percentage of female seniors.

Then, solving for x we get that the number of students is 825.4719

Additionally, the probability P(S) that a student is a senior is equal to:

[tex]P=\frac{229}{825.47} =0.2774[/tex]

Because there are 825.47 students and 229 are senior.

So, P(F/S) is equal to:

[tex]P(F/S)=\frac{0.06}{0.2774}=0.216[/tex]


Related Questions

- Consider the following sets:
P = {x|x is a parallelogram}
C = {x | x is a circle}
K = {x|x is a kite)
R = (x | x is a rectangle)
T = {x|x is a trapezoid)
Which set is a subset of set P? C K R T

Answers

Answer:

R

Step-by-step explanation:

A rectangle is a parrellagram. Also, got right on edg.

Answer:

R

Step-by-step explanation:

Can someone help me? Find the surface area of the prism I will give you 14 points to anwser this!

Answers

Answer:

[tex]122 {m}^{2} [/tex]

Step-by-step explanation:

[tex]A

=

2

(

w

l

+

h

l

+

h

w

) \\

=

2

·

(

4

·

7

+

3

·

7

+

3

·

4

)

\\

=

122 {m}^{2} [/tex]

The surface area is 15.

The area formula for a triangle is 1/2bh
The base of the surface is not given but it’s a parallelogram so opposite sides are congruent. The base would be 7 and the height would be 5.

7 x 5 = 30

you then divide it by half


SURFACE AREA = 15

Which graph shows the result of dilating this figure by a factor of One-third about the origin?

On a coordinate plane, triangle A B C has points (negative 6, 6), (6, 6), (6, negative 6).
On a coordinate plane, triangle A prime B prime C prime has points (negative 2, 2), (2, 2), (2, negative 2).
On a coordinate plane, triangle A prime B prime C prime has points (negative 3, 3), (3, 3), (3, negative 3).
On a coordinate plane, triangle A prime B prime C prime has points (Negative 18, 18), (18, 18), (18, negative 18).
On a coordinate plane, triangle A prime B prime C prime has points (negative 12, 12), (12, 12), (12, negative 12).

Answers

Answer:

A

Step-by-step explanation:

The coordinates of the triangle showing a dilation with a scale factor of 1/3 is (-2, 2), (2, 2) and (2, -2)

What is dilation?

Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.

Given that, on a coordinate plane, triangle A B C has points (-6, 6), (6, 6), (6, -6). It is being dilated with a scale factor of 1/3

Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

Here, we will consider the coordinates in place of dimensions,

Therefore,

Scale factor = coordinates of new figure / coordinates of original figure

Considering the first option = A'(-2, 2), B'(2, 2) and C'(2, -2)

Scale factor = A/A' = 2/6 = 1/3

Hence, the coordinates of the triangle showing a dilation with a scale factor of 1/3 is (-2, 2), (2, 2) and (2, -2)

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Solve |x| + 7 < 4.

A) {x | x < -11 or x > -3}
B) {x | -3 < x < 3}
C) Ø

Answers

It a


I think I could be wrong

Answer:

C

Source:

Trust me

at a car and truck dealership, the probability that a vehicle is white is 0.25. the probability that it is a van is 0.09. the probability that it is a white van is 0.04. what is the probability that a vehicle is white, given that the vehicle is a van

Answers

Answer:0.44

Step-by-step explanation:

The probability that a vehicle is white, given that the vehicle is a van is 0.4

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

The probability that a vehicle is white=0.25

The probability that it is a van=0.09

The probability that it is a white van=0.04

Now,

To find the probability that a vehicle is white, given that the vehicle is a van, we can use the conditional probability formula, which states that:

P(white | van) = P(white and van) / P(van)

P(white) = 0.25

P(van) = 0.09

P(white and van) = 0.04

Using the multiplication rule of probability, we can write:

P(white and van) = P(white) * P(van | white)

where P(van | white) is the probability of being a van given that it is white. Solving for P(van | white), we get:

P(van | white) = P(white and van) / P(white)

P(van | white) = 0.04 / 0.25

P(van | white) = 0.16

Plugging this into the conditional probability formula, we get:

P(white | van) = (0.25 * 0.16) / 0.09

P(white | van) = 0.04 / 0.09

P(white | van) = 0.4444

Therefore, by probability the answer will be 0.4

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What is the length of BC in the right triangle below?

Answers

Answer:

15

Step-by-step explanation:

using the 3 : 4 : 5 triangle triple:

we see that this triangle follows the same ratio

9:12 = 3:4, so the hypotenuse = 5*3 = 15

ANSWER: 15

(9x-8)+(x+10)+(x+2)=180 find x

Answers

Answer:

x = 16

Step-by-step explanation:

Simplifying

(9x + -8) + (x + 10) + (x + 2) = 180

Reorder the terms:

(-8 + 9x) + (x + 10) + (x + 2) = 180

Remove parenthesis around (-8 + 9x)

-8 + 9x + (x + 10) + (x + 2) = 180

Reorder the terms:

-8 + 9x + (10 + x) + (x + 2) = 180

Remove parenthesis around (10 + x)

-8 + 9x + 10 + x + (x + 2) = 180

Reorder the terms:

-8 + 9x + 10 + x + (2 + x) = 180

Remove parenthesis around (2 + x)

-8 + 9x + 10 + x + 2 + x = 180

Reorder the terms:

-8 + 10 + 2 + 9x + x + x = 180

Combine like terms: -8 + 10 = 2

2 + 2 + 9x + x + x = 180

Combine like terms: 2 + 2 = 4

4 + 9x + x + x = 180

Combine like terms: 9x + x = 10x

4 + 10x + x = 180

Combine like terms: 10x + x = 11x

4 + 11x = 180

Solving

4 + 11x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + 11x = 180 + -4

Combine like terms: 4 + -4 = 0

0 + 11x = 180 + -4

11x = 180 + -4

Combine like terms: 180 + -4 = 176

11x = 176

Divide each side by '11'.

x = 16

Simplifying

x = 16

Your answer would be x = 16.

To find the answer you need to collect like terms on the left hand side by adding the x-terms and the numbers, and then solving for x.

9x + x + x = 11x

-8 + 10 + 2 = 4

11x + 4 = 180

- 4

11x = 176

÷ 11

x = 16

I hope this helps!

please please help! 20 points !!

Answers

1. t= 72

u= 54

2. m=76

n=76

3. ef= I forgot how to solve I'm sorry

f= 134

4. p=60

q=60

r=60 (it is an equilateral triangle)

Answer:

1.

u = 54

t = 72

2.

both equal 76

3.

i might be wrong but EF might be 23

f = 134

4.

all three are 60, as it is a equilateral

sorry if that sounds if i copied the previous answer

Evaluate f(3) for f(x)=-2x^2+5x-9?
by KWOMACK8012 5 minutes ago

Answers

Answer:

-12.

Step-by-step explanation:

f(x)=-2x^2+5x-9

which is -18+15-9, which is...

MARK AS BRAINLIEST!!!!!!!!!!!!

To evaluate f(3) for the function f(x)=-2x^2+5x-9, you substitute 3 for x in the equation and simplify the expression to get the result, which is -12.

Replace x with 3: f(3)=-2(3)2+5(3)-9.

Simplify the squares: f(3)=-2(9)+5(3)-9.

Multiply through: f(3)=-18+15-9.

Combine the terms: f(3)=-3-9.

Final result: f(3)=-12.

Therefore, the evaluated result for f(3) is -12.

What should be the first step in adding these equations to illuminate y? 3x+4y=8 + 6x-2y=9

A. Multiply the top equation by two

B. Multiply the top equation by six

C. Multiply the bottom equation by three

D. Multiply the bottom equation by two

Answers

Answer:

D

Step-by-step explanation:

In this problem, we are adding the two equations and we want to get rid of y. To do this, we want one positive y and one negative y with the same coefficient  because when we add the equations they will cancel each other out. The coefficient of the first equation's y is 4, so we want the second to be -4. The coefficient of the second equation's y is -2, and if we want it to be -4 we multiply it by -4/-2= 2, which is D. Once you do that you will get 4y and -4y in the first and second equations respectively and then you can add them to eliminate y!

Helen is using glass tiles that each measure one square centimeter to make a
decorative square plate. The plate will use 144 square centimeters of glass tiles.
How many glass tiles will Helen use in one row of her plate?

Answers

Answer: 12

Step-by-step explanation:

12 times 12 is 144 so 12.in each row

Final answer:

Helen will use 12 glass tiles in one row of her plate, as the square plate has a total area of 144 square centimeters and each tile measures one square centimeter.

Explanation:

The student's question involves calculating the number of glass tiles Helen would use in one row of a square plate, given that she has 144 square centimeters of glass tiles and each tile measures one square centimeter. To determine the number of tiles in one row, we need to remember that the area of a square is equal to the side length squared. Since the total area is 144 square centimeters, we take the square root of 144 to find the length of one side, which is 12 centimeters. Therefore, Helen will use 12 glass tiles in one row of her plate, as there would be 12 tiles lengthwise and 12 tiles widthwise to make up the total area of 144 square centimeters.

Percent change

Original amount: 165
End amount: 222.75

Answers

Answer:

35%

Step-by-step explanation:

The percent change is calculated as

[tex]\frac{change}{original}[/tex] × 100%

change = 222.75 - 165 = 57.75, thus

% change = [tex]\frac{57.75}{165}[/tex] × 100% = 0.35 × 100% = 35%

The percent change in value is 35%, and it is a percentage increase.

To calculate the percent change in value, we use the formula: ((new value - original value) / original value) * 100. In this case, the new value is $222.75 and the original value is $165. Plugging in these values, we get ((222.75 - 165) / 165) * 100 = 35%. Therefore, the percent change in value is 35%. Since the value has increased, it is a percentage increase.

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The probable question may be:

If the original amount is $165, and it has increased to $222.75, what is the percent change in the value, and is it a percentage increase or decrease?

Find an integer, x, such that 2, 4, and x represent the lengths of the sides of an obtuse triangle.
A. 2
B. 3
C. 4
D. 6

Answers

Answer:

A

Step-by-step explanation:

WILL MARK BRAINLIEST PLSSSS HELP
Angles A M Y and Y M B form a line. Angles Y M B and B M X form a line. Angles X M A and A M Y form a line. Choose each angle to complete the linear pairs. ∠AMY and ∠AMX ∠BMY and ∠BMX and ∠AMX and

Answers

Answer:

B

Step-by-step explanation:

sorry if it is wrong but I think it is right

Answer:

Step-by-step explanation:

Angles A M Y and Y M B form a line. Angles Y M B and B M X form a line. Angles X M A and A M Y form a line.

Choose each angle to complete the linear pairs.

∠AMY and ∠AMX

∠BMY and

✔ ∠AMY

∠BMX and

✔ ∠BMY

∠AMX and

✔ ∠BMX

It is this i got it right on the lesson I am 100% sure thanks

Pls help it’s due tn

Answers

Answer:

94 for the first one and 130 for the second

Step-by-step explanation:

Since A=6 and B=4

For the first one

13(6)+ 4(4)

78+16=94

For the second one

(6+4)*13

(10)*13= 130

A quarterback looks downfield at a receiver who is 14 yards away. The receiver is covered, so the quarterback turns 30° to his right and sees another receiver who is 19 yards away. To the nearest tenth of a yard, how far apart are the two receivers?

A. 9.8 yds

B. 10.5 yds

C. 45.5 yds

D. 104.5 yds

Answers

Use the law of cosines:

Distance = square root( 14^2 + 19^2 -2(14)(19) x cos(30)

Distance = 9.8 yards.

The answer is A.

The correct answer is A. 9.8 yds is the distance between two receivers.

The Law of Cosines states that for any triangle with sides a, b aand c , and angle [tex]\( \theta \)[/tex] opposite side c, the following equation holds:

[tex]\[ c^2 = a^2 + b^2 - 2ab\cos(\theta) \][/tex]

We want to find d, which corresponds to c in our scenario. Plugging in the values we have:

[tex]\[ d^2 = a^2 + b^2 - 2ab\cos(\theta) \] \[ d^2 = 14^2 + 19^2 - 2 \cdot 14 \cdot 19 \cdot \cos(30^\circ) \][/tex]

Since [tex]\( \cos(30^\circ) = \sqrt{3}/2 \)[/tex], we can substitute this value into the equation:

[tex]\[ d^2 = 14^2 + 19^2 - 2 \cdot 14 \cdot 19 \cdot \frac{\sqrt{3}}{2} \] \[ d^2 = 196 + 361 - 14 \cdot 19 \cdot \sqrt{3} \] \[ d^2 = 557 - 266 \cdot \sqrt{3} \][/tex]

Now we can solve for d:

[tex]\[ d = \sqrt{557 - 266 \cdot \sqrt{3}} \][/tex]

Calculating this value gives us [tex]\( d \approx 9.8 \)[/tex] yards to the nearest tenth of a yard.

Therefore, the two receivers are approximately 9.8 yards apart.

You and some friends went to a haunted house on Halloween. The mummy scared one friend so much that she jumped into the air! The equation h= 4t(2)+ 2t models her jump where h is her jumps height in feet t seconds after the mummy scares her. Where did she reach her maximum.

Answers

Answer:

She reaches her maximum height after 0.25 seconds

Step-by-step explanation:

The question is not properly structured and the equation is also incorrect. Here is the correct question.

You and some friends went to a haunted house on Halloween. The mummy scared one friend so much that she jumped into the air! The equation h= -4t²+ 2t models her jump where h is her jumps height in feet t seconds after the mummy scares her. When did she reach her maximum.

Give the equation h= -4t²+ 2t that models my friend jump where h is her jumps height in feet t seconds, At maximum height, her velocity will be zero i.e

Vmax = 0m/s

Velocity is the rate of change in distance of a body i.e V = dh/dt

Given  h= -4t²+ 2t

V = dh/dt = -8t+2

Since v = 0m/s

0 = -8t+2

-8t = -2

t = -2/-8

t = 0.25 secs

She reaches her maximum height after 0.25 seconds

Need help please!!
(Will mark as Brainliest)

Answers

think it’s 4ft becuase 12/3=4

Express in scientific notation. 65

Answers

Final answer:

The number 65 can be expressed in scientific notation as 6.5 × 10¹, where the original decimal was moved one place to the left.

Explanation:

To express the number 65 in scientific notation, we need to write it as a product of a number between 1 and 10 and a power of 10. Since 65 is a relatively small number, we will have only one digit to the left of the decimal point. We write 65 as 6.5 × 10¹, because we have moved the decimal one place to the left to get the number 6.5, which is between 1 and 10. The exponent on the 10 is positive because the original number was greater than 1.

In sciences like chemistry, scientific notation is frequently used to express large or small quantities. This is also helpful when entering data into a calculator; it's important to know the correct procedure for your particular calculator model. In case of uncertainty, consulting an instructor is advised.



Factor the expression 25x2 – 1.

Answers

Answer:

(5x + 1) • (5x - 1)

Step-by-step explanation:

Step 1:

Equation at the end of step 1:

5^2x^2 - 1

Step 2:

Trying to factor as a Difference of Squares :

Factoring: 25x^2-1

Theory :

A difference of two perfect squares,

A difference of two perfect squares, A^2 - B^2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B)

= A^2 - AB + BA - B^2

= A^2 - AB + AB - B^2

= A^2 - B^2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 25 is the square of 5

Check : 1 is the square of 1

Check : x^2 is the square of x^1

Factorization is :

(5x + 1) • (5x - 1)

Final result :

(5x + 1) • (5x - 1)

Answer:

Step-by-step explanation:

(5x-1) (5x+1)

The eighth grade class is planning a trip to Washington DC this spring. They need a minimum of 75 people to attend in order to reserve buses. If 1/3 of the eighth grade class 17 parent chaperones have signed up and this is enough to satisfy the requirement, how many students must be in the eighth grade class?

Answers

By setting up an equation and solving for the number of students in the eighth grade class, we find that there must be 174 students to meet the requirement of 75 people including 17 parent chaperones.

To find the number of students in the eighth grade class for the trip to Washington DC, let's use the information provided that 1/3 of the class plus 17 parent chaperones are just enough to satisfy the requirement of 75 people for the trip. We can set up an equation to solve for the total number of students (S) in the class:

1/3 * S + 17 = 75

First, subtract 17 from both sides of the equation:

1/3 * S = 75 - 17

1/3 * S = 58

Then, multiply both sides by 3 to find the total number of students (S):

S = 58 * 3

S = 174

Thus, there must be 174 students in the eighth grade class.

a piece of plywood was cut so it’s length was 6 feet and the perimeter is 22 feet. what is the area of the wood

Answers

Answer:

i believe its 132

Step-by-step explanation: you need to multiply the two numbers together to find the area.

The area of plywood = 30 feet²

What is a rectangle?

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length.

The perimeter of a rectangle is defined as the total distance covered by the outer boundary of the rectangle. It is measured in unit length. The formula of perimeter is given by:

Perimeter, P = 2 (Length + Width)

The area of the rectangle is the area covered by its outer boundaries. It is equal to the product of length and width.

The formula of area of rectangle is:

Area = Length × Width unit²

Given,

Length of the plywood (L) = 6 feet

Perimeter of Plywood (P)=  22 feet

Area of Plywood = ?

Perimeter = 2(Length + Width)

22 feet = 2 (6feet +  Width)

Width (W) = (22 /2 - 6) feet

Width (W) = (11 - 6) feet

Width (W) = 5 feet

Area of the plywood (A) = Length × Width

Area = 6feet × 5feet

Area = 30 feet²

Hence, Area of the plywood (A) = 30 feet²

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If you sleep 6 hours out of 24 hours, what percent of the time do you sleep?
Thanks and be quick!

Answers

Answer:

I'm not sure which one 25% i put the wrong number in

If you sleep 6 hours out of 24 hours, you sleep for 25% of the time.

To find the percentage of time spent sleeping, one must divide the number of hours slept by the total number of hours in a day and then multiply by 100. In this case, a person sleeps for 6 hours in a 24-hour day. The calculation is as follows:

Percentage of time spent sleeping = (Number of hours slept / Total number of hours in a day) × 100%

Percentage of time spent sleeping = (6 hours / 24 hours) × 100%

Percentage of time spent sleeping = 0.25  × 100%

Percentage of time spent sleeping = 25%

Therefore, sleeping for 6 hours in a 24-hour period means a person spends 25% of their time sleeping.

What is the asymptote of the function? f(x) = 3(2^2x)

Answers

Answer:

12

Step-by-step explanation:

three time 2 to the 2nd power is twelve.

use a calculator,man. don't be lazy

A student was given the equation x^2+2x-16=0 to solve by completing the square. The first step that was written is shown below. ——> X^2 + 2x=16<—— The next step in the student’s process was x^2 +2x+c =16+c. State the value of c that creates a perfect square trinomial.

Answers

Answer:

[tex]x_{1}=-1+\sqrt{17},\:x_{2}=-1-\sqrt{17}[/tex]

Step-by-step explanation:

Quadratic Equation Given:

[tex]x^2+2x-16=0[/tex]

[tex]x^2 + 2x=16[/tex]

[tex]$c=\left( \frac{b}{2} \right)^2 $[/tex]

[tex]x^2 + 2x+1=16+1[/tex]

[tex](x+1)^2=17\\[/tex]

[tex]x+1=\pm \sqrt{17} \\[/tex]

[tex]x=-1 \pm \sqrt{17} \\[/tex]

[tex]x_{1}=-1+\sqrt{17},\:x_{2}=-1-\sqrt{17}[/tex]

What is the height of the pyramid? 4 feet 8 feet 12 feet 16 feet

Answers

Answer:

16 feet

Step-by-step explanation:

Answer:

D. 16 Feet

Step-by-step explanation:

If two similar rectangles have corresponding sides with a ratio of 2:3, what is the

ratio of their areas?

Answers

Answer:

4:9 ratio

Step-by-step explanation:

We know that the sides cannot be the same because it is a rectangle, therefore there is a width and length.

For the width, which is the shortest side, we will keep the radius as it is, that is, for rectangle 1 it will be 2 and for rectangle 2 it will be 3.

For the length, which is the longest side, we multiply the radius by two, which means that rectangle 1 will be 4 (2 * 2) and for rectangle 2 it would be 6 (2 * 3)

If we calculate the area it would be:

rectangle 1:

2 * 4 = 8

rectangle 2:

3 * 6 = 18

Which means that the radius is 8/18 = 4/9

What is a 4: 9 ratio

Here is the histogram of a data distribution,
'

Which best describes the shape of this distribution?

A. Unimodal symmetric

B. Unimodal skewed

C. Bimodal symmetric

D. Uniform

E. Bimodal skewed

Answers

Answer:

Unimodal Skewed

Step-by-step explanation:

The best describes the shape of this distribution is E. Bimodal skewed

What is Bimodal skewed?

If a histogram has one hump, it is unimodal; if it has two humps, it is bimodal; and if it has many humps, it is multimodal.

If a histogram is not symmetric, this will refer to as skewed.

It is positively skewed if the upper tail is longer than the lower tail.

It can have multiple peaks or be bimodal (two peaks) (or many peaks).

But a single distribution with two peaks characterizes a bimodal distribution.

This will appear as two separate bell curve shapes contained within two normal distributions on a graph that is displayed side by side.

We are given graph has 2 humps, we can conclude that the given distribution is Bimodal skewed.

Therefore, the given distribution is (E) Bimodal skewed as the distribution has 2 humps.

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Garrett throws a dart at a circular dartboard. The dartboard has a radius of 18 inches, and the bull’s eye in the center of the dartboard has a radius of 4 inches. What is the probability that a dart thrown at random within the dartboard will hit the bull’s eye? Round your answer to the nearest tenth, if necessary.
A. 20.3%
B. 4.9%
C. 22.2%
D. 4.5%

Answers

Answer:option b. 4.9%

Explanation:

1) The probability that a dart thrown at random within the dart board will hit the bull's eye is equal to the ratio of the areas:

probability = area of the bull's eye / aera of the dart board.

2) Area of the dart board = π × (radius)² = π × (18 in)²

3) Area of the bull's eye = π × (radius)² = π × (4 in)²

4) So, the probaility is:

 π (4 in)²           4²

--------------- = ------- = 0.0494

π (18 in)²         18²

The correct answer is option B)4.9

What is the probability that a dart thrown at random within the dartboard will hit the bull’s eye?

1) The probability that a dart is thrown at random within the dartboard will hit the bull's eye is equal to the ratio of the areas:

probability = area of the bull's eye/area of the dart board.

2) Area of the dart board = π × (radius)² = π × (18 in)

3) Area of the bull's eye = π × (radius)² = π × (4 in)²

4) So, the probability is:

π (4 in)²  / π (18 in)²   =    4² /   18²   = 0.0494

What is probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes and how likely they are.

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Which represents the volume of the cylinder, in cubic units?
120
130
300
325

Answers

Answer:

Step-by-step explanation:

Volume=(pi)(radius^2)(height)

Volume=(pi)(5^2)(12)

V=(pi)(25)(12)

V=(pi)(300)

Answer: 300 pi

Step-by-step explanation:

on edge

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