Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Play a sport
Total
Do not play a
sport
105
70
175
Boys
Girls
75
50
125
Total
180
120
300
Are being a girl and playing a sport Independent events? Why or why not?
O A. Yes, they are independent, because P(girl) = 0.58 and Pgirl plays
a sport) = 0.6.
O B. Yes, they are independent, because (girl) = 0.42 and girl plays
a sport) - 0.42
O c. No, they are not independent, because P(girl) = 0.42 and
P(girl plays a sport) = 0.42.
D. Yes, they are independent, because (girl) = 0.58 and P(girl plays
a sport) = 0.58

Answers

Answer 1

Answer:

A is the answer it sounds more likely

Answer 2

For given data, being a girl and playing a sport are independent events as P(girl) = P(girl plays a sport) = 0.4.

What are independent events?"These are the events whose occurrence is not dependent on any other event.""When the probability of occurrence of an event A is not affected by the occurrence of another event B, then event A and event B are independent events."Formula for probability of independent events:

"If A and B are independent events then, P(A∩B) = P(A).P(B)"

What is probability?

"It is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

Formula of the probability of an event A is:

P(A) = n(A)/n(S)

where,  n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.

For given question,

We have been given a table that shows the results broken down by gender.

             Play sports         Do not play sports       Total

Boy            105                            75                        180

Girl             70                             50                        120

Total          175                            125                       300

Using the definition of probability:

⇒ P(girl)  = Number of girls/ Number of students

⇒ P(girl) = 120/300

⇒ P(girl) = 0.4                     ....................(1)

Now we find the probability of girls that play a sport.

Using the definition of probability:

P(girl plays a sport)

= Number of girls who plays a sport/ number of students who plays a sport

= 70/ 175

= 0.4                                    ......................(2)

From (1) and (2),

P(girl) = P(girl plays a sport)

Thus, being a girl and playing a sport are Independent events.

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Related Questions

Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the endpoints of the t-distribution with 5% beyond them in each tail if the samples have sizes ni = 8 %3D and 11 n2 Enter the exact number for the degrees of freedom and round your answer for the endpoints to two decimal places. degrees of freedom = endpoints

Answers

Answer:

i think it 36 sorry if it wrong tho have a nice day

Step-by-step explanation:

What is the slope of the following equation?

y = 2x -3

Answers

Answer:

Step-by-step explanation:

2 is the slo[pe:)

Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function h(t)= -16t^2+96t gives the height, in feet, of the soccer ball after t seconds. The function is shown in the graph below. What are the intercepts of the function and what do they mean?

Answers

Answer:

(d)

Step-by-step explanation:

Given

[tex]h(t) = -16t^2 + 96t[/tex]

Required

The intercepts

The x intercepts are where the graph crosses x axis.

From the attached plot, they are:

[tex]x = (0,0)[/tex] and [tex]x = (6,0)[/tex]

These represent the start and end of the ball that is launched.

Hence, (d) is true

Enter an integer to represent the situation.


an elevator ride down 35 stories

Answers

Answer:

-35

Step-by-step explanation:

this is a simple but confusing question

however,

since they said down the elevator, and the negative integers reduces, therefore we have our answer as

-35

A certain television is advertised as a 36-inch TV (the diagonal length). If the width of the TV is 26 inches, how tall is the TV? Round to the nearest tenth of an inch.

Answers

Answer:

the correct answer is 24.9

Step-by-step explanation:

Answer: 24.9

Step-by-step explanation:

HELP ME PLEASEEEEEEEEEEEE

Answers

First you would do base times night with is 224. Then you would divide 224 by 2, so your answer would be 112

Answer:

The area is 112.

Step-by-step explanation:

14 x 16 = 224

224/2 = 112

5. A cabin rental costs $100 deposit plus $75 per day. Find the cost of renting a cabin for the
month of June.

Answers

Answer:

the answer to this question is $2,350

Step-by-step explanation:

june has 30 days so $75 × 30 + $100 = $2,350

I really need help guys!

Answers

I am pretty sure the answer is 36. Correct me if I am wrong

The Sine Function

The sine regression models is of form y = a sin(bx + c) + d. Why are sine functions such good models for repetitive behavior?

Answers

Answer:

Sine functions show repeated and periodic behavior. They are used to model wave-like behavior. They can be used to make predictions based on the model.

Step-by-step explanation:

I calculated it logically

Plz help me well mark brainliest if correct!!...

Answers

Answer:

The answer will be D

Have a great day :)

Answer: it would be D two of the fourth graders own two pets

Step-by-step explanation: if you look at the graph it is showing how many people own how many pets then look for the one with for and however many stars are there which is two people who own four pets

Hope this helps :)

Write an equivalent expression to show the relationship of multiplication and addition.


10+10+10




4+4+4+4+4+4+4




8×2




3×9




6m




d+d+d+d+d




Answers

4+4+4 is the equivalent to 10+10+10

In this composite function, (f◦g)(x) where f(x)=(X-3) and g(x)=X^2 what is (f◦g)(x) when x=1?

Answers

Answer:

When x = 1, (f◦g)(x) is -2.

Step-by-step explanation:

Composite function:

The composite function of f and g is given by:

[tex](f \circ g)(x) = f(g(x))[/tex]

In this question:

[tex]f(x) = x - 3, g(x) = x^2[/tex]

Composite function:

The composite function is:

[tex]f(g(x)) = f(x^2) = x^2 - 3[/tex]

At x = 1

[tex](f \circ g)(1) = 1^2 - 3 = 1 - 3 = -2[/tex]

So

When x = 1, (f◦g)(x) is -2.

7/11 as a decimal roundeded to 3 decimal places

Answers

Answer:

0.6364 is a decimal and 63.64/100 or 63.64% is the percentage for 7/11.

3.8.22
City planners want to construct a bike path
perpendicular to Bruckner Boulevard at point P. An equation for the Bruckner
Boulevard line is y=-x. Find an equation for the line for the bike path.
4
The equation of the line for the bike path is I.
(Simplify your answer. Type an equation. Type your answer in slope-intercept form. Use integers or fractions for any numbers in th

Answers

Answer:

9

Step-by-step explanation:

Find the area 2 m 4 m 10 m

Answers

Answer:

30.285 m²

Step-by-step explanation:

C = 2πr

2 · π · 2

≈ 12.57

12.57 ÷ 2 = 6.285

10 - 2 = 8

8 · 4 ÷ 2

32 ÷ 2

16

2 · 4 = 8

6.285 + 8 + 16

30.285

Sketch a graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = +2.​

Answers

The graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = ± 2 is plotted and attached.

What is local maxima and minima?

Local Maxima

If f'(x) changes sign from positive to negative as x increases via point c, then f(c) represents the maximum value of the function in that range.

Local Minima

If f'(x) changes sign from negative to positive as x increases via point c, then f(c) gives the minimum value of the function within that range.

Given is to sketch a graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = + 2.​

Refer to the graph of the function attached.

It shows a parabola indicating a quadratic function that has a maximum value of (0, 2) and x - intercepts at x = ± 2.​

Therefore, the graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = ± 2 is plotted and attached.

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ABC = DEF What corresponds with B?

Answers

Answer:

answer is C

Step-by-step explanation:

<E corresponds with B

Hope it helps you

1. Translate the figure: Right 5 and Up 4

Answers

Step-by-step explanation:

Right 5 and 4 =9 that is the answer

50 points!!
Solve for x and y given the 2 triangles are SIMILAR​

Answers

Answer:

x/3=4.5/1.5

1.5x=3*4.5

x=13.5/1.5

x=9

Step-by-step explanation:

PLEASE HELPPP!!!!!!!!

Answers

Answer:

C. y=-3x+5

Step-by-step explanation:

Looking at the line, you see that it goes down 3 places for every unit step to the right, so the slope is -3 and we expect a -3x in the answer.

Looking at the intersection with the y-axis, it is at (0,5), so we expect -3x + 5.

We have to be at the left of this line, i.e. y < -3x + 5.

That's answer B.

What is the value of z in the equation 2(4z − 5 − 3) = 166 − 46?

15
17
30
32

Answers

Answer:

15

Step-by-step explanation:

4 ×15= 60

60×2= 120

166-46=120

Challenge A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the
coins, 12% are pennies and 34% are dimes. There are 7 more nickels than pennies. How much
money does the bag contain?

Answers

Answer:pennies: (0.12)(50) = 6

dimes: (0.34)(50) = 17

nickels: 6 + 2 = 8

Approximately 0.5% of computers in a shipment arrive broken. In a shipment of 20,000 computers, about how many will NOT be broken?

Answers

Rewrite 0.5% as a decimal by moving the decimal point 2 places to the left:

0.5% = 0.005

Multiply quantity by the decimal:

20,000 x 0.005 = 100 would be broken

20,000-100 = 19,900 would not be broken


7.4.PS-6
Question Help
Find the area of the polygon.
20 cm
14 cm
4 cm
3 cm
5 C

Answers

Answer:

The area of the given polygon is:

232 cm^2

Step-by-step explanation:

To find the area of the polygon in the picture, you can divide the polygon in three rectangles: a 3 cm by 14 cm, a 5 cm by 14 cm rectangle, and the last rectangle must have a base of 12 cm (20 cm - 3 cm - 5 cm), and a height of 10 cm (14 cm - 4 cm). We can calculate the area of the rectangles with the formula below:

Area of a rectangle = Base * height

Now, we're gonna replace the measurements in the formula.

First rectangle:

Area of a rectangle = 3 cm * 14 cmArea of a rectangle = 42 cm^2

Second rectangle:

Area of a rectangle = 5 cm * 14 cmArea of a rectangle = 70 cm^2

Third rectangle:

Area of a rectangle = 12 cm * 10 cmArea of a rectangle = 120 cm^2

By last, we must add the area of the rectangles:

Area of the polygon = 42 cm^2 + 70 cm^2 + 120 cm^2Area of the polygon = 232 cm^2

As you can see, the area of the polygon in the picture is 232 cm^2.

Which expression has the greatest value?

Answers

Answer:

=8⁴√³

8⁴=2¹²

12÷3=4

2⁴=16

16=16²√

=64²√³

64=4³

6÷3=2

4²=16

=16³√

16=4²

6÷2=3

4³=64

so the answer is 16^3/2

find the height of a triangle with an area of 156 square kilometers and a base that measures 24 kilometers

Answers

Answer = 13 kilometers
hb = 2 a/b= 2 x 156/24 = 13

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Answers

Okay thank youu I needed this

2 3/7 - 5 6/7 Question I-Ready

Answers

Answer: I think so the answer is -3 3/7

HOPE THIS HELPS

A pyramid has a volume of 1,944 inches cubed and a rectangular base with the dimensions 18 inches by 9 inches. What is the height of the pyramid?
4 in.
12 in.
24 in.
36 in.

Answers

Answer:

36

Step-by-step explanation:

I used a triangle height calculator on G0ogle

If the base area is 162 square inches, then the height of the pyramid will be 36 inches. Then the correct option is D.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A pyramid has a volume of 1,944 inches cubed and a rectangular base with the dimensions of 18 inches by 9 inches.

Then the height of the pyramid will be

The volume of the pyramid will be

Volume = (Base area x height) / 3

Then the base area will be

Base area = 18 x 9

Base area = 162 square inches

Then the height of the pyramid will be

1944 = (162 h) / 3

5832 = 162 h

      h = 36

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What is the first step in evaluating the expression below?
12 + 6 - 4 X (12-5)
Add 12 + 6
O Multiply 4 x 12
Subtract 5 from 12
O Multiply 4x7

Answers

PEMDAS so parentheses first meaning you subtract 5 from 12
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