Answer the question based on the data in the two-way table.
Grades
Gender
Below Above
Average Average
Boy 14 23
Total
37
Girl
16
22
38
Total
30
45
75
Which statement is true?
O A. Aboy above average grades) = P(boy)
B.
Pabove average grades boy) = Pabove average grades)
Ос.
Pboy above average grades) # Pabove average grades)
OD. Pabove average grades| boy) = P(boy)

Answers

Answer 1

Answer:

d

Step-by-step explanation:

Answer 2

P(boy above average grades) P(above average grades) is the right answer. The correct option is C.

What is conditional probability?

The likelihood that event A will occur provided that event B has already happened is known as conditional probability. It is written as "the probability of A given B" and is indicated by the symbol P(A|B).

We must employ conditional probability in order to respond to this inquiry. We are aware that there are 75 pupils in the class overall, with 37 boys and 38 girls. We also know that 22 girls and 23 boys both have GPAs above the national average.

A. Boy with above-average grades equals a boy.

This claim is untrue. The likelihood of picking a guy at random from the class is 37/75, or P(boy). The likelihood of picking a kid from the class who has above-average grades at random is 23/75, or P(boy with average grades). The odds of these two events are not equal.

B. Boy with above-average grades equals P with above-average grades

This claim is untrue. The chance of picking a student with above-average grades at random from the class is P(above average grades), which is (23+22)/75 = 45/75. The likelihood of picking a kid from the class who has above-average grades at random is 23/75, or P(above-average grades boy). The odds of these two events are not equal.

P (boy with above-average grades) C (boy with above-average grades)

This assertion is accurate. P(boy over average grades) = 23/75 and P(above average grades) = 45/75, respectively, are already known values. The odds of these two events are not equal.

D. P(boy | grades over average) = P(boy)

This claim is untrue. The conditional probability that a student will have above average grades given that they are a boy is P(above average grades | boy), which is 23/37. The likelihood of picking a guy at random from the class is 37/75, or P(boy). The odds of these two events are not equal.

Therefore, the correct statement is C. P(boy above average grades) ≠ P(above average grades).

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Related Questions

he National Center for Health Statistics interviewed 5409 adult smokers in 2015, and 2666 of them said they had tried to quit smoking during the past year. Consider this to be a random sample. Find a 95% confidence interval for the proportion of smokers who have tried to quit within the past year. (Round the final answers to three decimal places.) The 95% confidence interval is ( , ).

Answers

Answer:

95% confidence interval for the proportion of smokers who have tried to quit within the past year

(0.47956 ,0.50620)

Step-by-step explanation:

Step(i):-

Given that  National Center for Health Statistics interviewed 5409 adult smokers in 2015

Sample size 'n' = 5409

Given that 2666 of them said they had tried to quit smoking during the past year.

proportion

             [tex]P = \frac{x}{n} = \frac{2666}{5409} = 0.49288[/tex]

             Q = 1 - P = 1 - 0.49288 = 0.50712

Step(ii):-

95% confidence interval for the proportion of smokers who have tried to quit within the past year

[tex]({P - Z_{0.05} \sqrt{\frac{PQ}{n} } , P + Z_{0.05} \sqrt{\frac{PQ}{n} )[/tex]

[tex]({0.49288 - 1.96 \sqrt{\frac{0.49288 X 0.50712}{5409} } , 0.49288 + 1.96\sqrt{\frac{0.49288 X 0.50712}{5409} )[/tex]

(0.49288 - 0.01332 , 0.49288+0.01332)

(0.47956 , 0.50620 )

Final answer:-

95% confidence interval for the proportion of smokers who have tried to quit within the past year

(0.47956 ,0.50620)

What is the missing length?
10 km
2
area = 33 km

Answers

Areas are measured in km2, not in km.

An isotope of the element seaborgium has a half-life is 30 seconds. How much would there be left after one minute if we started with 4 pounds? Show all your work.

Answers

Answer:

Step-by-step explanation:

what’s the domain of this relation?

Answers

Answer:

there is nothing here but thanks for the points

Step-by-step explanation:

Have a great rest of your day/night!

HELP PLEASE ILL GIVE BRAINLIEST

Answers

Answer:

The answer is H.) (A, B, C)

Step-by-step explanation:

3 is a whole number and a natural number and 4/3 is a rational number

a=5 (the fifth try) The amount of time Chip took to run through the maze on the 5th try can be modeled by t = 0.5a2 - 9a + 48.5 where t = time in seconds. Variable a=5, and then calculate the time t. Compare your time to others. Is it higher or lower? Why?​

Answers

Answer:

lower

Step-by-step explanation:

find the quotient 5 2/3 ÷ 3/5 leave answer as a mixed number in simplest form.​

Answers

Answer:

[tex]9\frac{4}{9}[/tex]

Step-by-step explanation:

Exact from:

[tex]\frac{85}{9}[/tex]

Decimal Form:

9.4

Mixed Number Form:

[tex]9\frac{4}{9}[/tex]

Give me Brainllest

The figure below has a volume of 60 cubic units. How many more cubes will it take to fill the figure?


5 cubic units


40 cubic units


55 cubic units


60 cubic units

Answers

Answer:

40 cubic units

Step-by-step explanation:

What are the coordinates of the vertex of the graph of the function y=-x^2+ 6x -11?
A. (3.-2)
B. (3.16)
C. (-3, -29)
D. (-3, -20)

Answers

I think the answer is A, but im sorry if its wrong

Answer:

Hi! The answer to your question is D. (-3, -20)

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

Brainliest is greatly appreciated!

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

Write the slope-intercept form of the equation for the line passing through the given pair of points. (-9, 0) and (6, 4)
explain please show work

Answers

Hope you understand :)

Find the factored form of
10a + a2 = 0

Answers

Answer:

a = 0, -10

Step-by-step explanation:

I think this is correct but it may not be.

Answer:

Step-by-step explanation:

a(10+a)=0 or - i cant remember which one it was but hope this helps

What is an Expression?​

Answers

A feeling or emotion

Answer:

Hello, an expression are numbers, symbols, and operators grouped to show the value of something. For example, 4+5 and 45/5-2 are expressions.

Step-by-step explanation:

I hope this helped you!

Find 0% of 48:

Find 100% of 48:

Find 50% of 48:

Find 25% of 48:

Find 75% of 48:

Answers

Answer:

0

48

24

12

36

Step-by-step explanation:

Using the graph, determine the coordinates of the x-intercepts of the parabola.

Answers

The result is (0 ; -32). See the 3 pictures for details.

2/3 * n = 12

im not sure what this is please help

Answers

Answer:

n= 18

Step-by-step explanation:

:)

Answer:

18

Step-by-step explanation:

[tex]\frac{2}{3} *n=12\\\frac{2}{3} *n/\frac{2}{3} =12/\frac{2}{3} \\n=18[/tex]

What is the value of x?​

Answers

The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa" See: Coordinates.

If this doesn’t answer your question, then do you have any further information?

The vertices of the triangle shown are (-2, 2), (4, -1), and (-2, -3).
y
What is the area of the triangle?
O A 11 square units
OB 15 square units
o C.13 square units
O D. 17 square units

Answers

Answer: 15

Step-by-step explanation:

Bradley's bike has an odometer, which shows how far he rides. Bradley rode 2.7 miles on
Monday, 2.4 miles on Tuesday, and 2.8 miles on Wednesday.
How many days did Bradley ride more than 2 miles?

Answers

Answer:

7.9

Step-by-step explanation:

I added 2.7 + 2.4 + 2.8, lmk if it's wrong.

find the value of x
help pleaee

Answers

Answer:

x = 180 - 57 - 79 = 44°

63°
13°
Choose the equation that best describes the image

Answers

Answer:

63degrees

Step-by-step explanation:

I cant see the picture well but i assume that is an angle and it is right before 90 degrees

giving brainliest *easy*!!

Answers

Answer:

452.16 square yards

Step-by-step explanation:

The equation for the SA of a sphere is A=4πr2

Substituting r = 6 yards : A= 4 * 3.14 * 6^2 = 452.16 square yards

Answer:

452.16

Step-by-step explanation:

Help please ASAP I have to have this done In the hour

Answers

Answer:

A. 1,2,3,4

B. 1,2,3

C. 5 and up

D. $30

Step-by-step explanation:

the measure of one side of a square is x+5. which expression represent the area and perimeter of the square?

Answers

Answer:

A= x^2   P=4s

Step-by-step explanation:

Area of a square

Perimeter= 4s

Area= (the length of one side) ^2

Factor this trinomial completely.
15x2 + 11x - 12
A. (x + 4)(15x - 3)
B. (3x + 3)(5x – 4)
C. (x+3)(15x - 4)
O D. (3x + 4)(5x – 3)

Answers

Answer:

D

Step-by-step explanation:

3x * 5x = 15x^2

3x * -3 = -9x

4*5x = 20x

4 *-3 = 12

so 15x^2 +(20x -9x) -12 or 15x^2 +11x -12

Find the measure of <5.
45 = [?]
699
45
Enter

Answers

Answer:

Step-by-step explanation:

Answer:

Solution given:

<5+69°=180°[co- interior angle]

<5=180°-69°=111°

<5=111°

calculate the reciprocal of -0.07 correct to 1 decimal place

Answers

Answer:

-14.3

Step-by-step explanation:

Use a calculator.

1/(-0.07) = -14.2857...

Answer: -14.3

Imagine you are the teacher. Explain how you would walk your student through this problem to answer this problem step by step.

Two hikers leave a cabin at the same time, one heading due south and the other headed due west. After one hour, the hiker walking south has covered 2.8 miles and the hiker walking west has covered 3.1 miles. At that moment, what is the shortest distance between the two hikers?

Answers

Answer:

Due south and due west form a right angle, and the shortest distance between any two points is a straight line. Therefore, we can apply the Pythagorean theorem and write:

3.12+2.82=x2

Here, you will need to use a calculator to simplify the left-hand side:

17.45=x2

Now use your calculator to take the square root. You will likely need to round your answer.

x=17.45−−−−√≈4.18 miles

As you can see, it will be up to you to determine that a right angle is part of the situation given in the word problem. If it isn’t, then you can’t use the Pythagorean theorem.

Step-by-step explanation:

this is my explanation

The shape given below can be decomposed into which two figures? (Pick two)

Answers

Answer:

C and D

Step-by-step explanation:

I would chose this because the square will have all sides of 3 since all the sides are the same size it classifies as a square. Then a right triangle looking at the shape you would have left.

A rectangle is a four sided polygon having all the internal angles equal to 90 degrees. The shape given below can be decomposed into two figures, they are rectangle and right triangle. The correct options are A and D.

What is a trapezium?

The trapezium is defined as a quadrilateral with one pair of parallel opposite sides. The parallel sides of a trapezium are called the bases and the non-parallel sides of a trapezium are known as legs. It is also called as the trapezoid.

A trapezium is a closed shape which has four sides and four angles. Anyone pair of opposite sides of a trapezium are parallel to each other. If the legs are of equal length, then it is called the isosceless trapezium.

A triangle in which one of its interior angles is equal to 90 degrees or any one angle is a right angle is the right triangle.

Thus the correct options are A and D.

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15 players for a softball team show up for a game: (a) How many ways are there to choose 10 players to take the field? 3003 (b) How many ways are there to assign the 10 positions by selecting players from the 15 people who show up? 3003 (c) Of the 15 people who show up, 5 are women. How many ways are there to choose 10 players to take the field if at least one of these players must be a woman?

Answers

Answer:

(a) 3003 ways

(b) 10897286400 ways

(c) 3002 ways

Step-by-step explanation:

Given

[tex]n = 15[/tex] --- 15 players

Solving (a) Ways of selecting 10 players.

This implies combination.

So, we have:

[tex]r=10[/tex]

Using:

[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]

We have:

[tex]^{15}C_{10} = \frac{15!}{(15-10)!10!}[/tex]

[tex]^{15}C_{10} = \frac{15!}{5!10!}[/tex]

Simplify

[tex]^{15}C_{10} = \frac{15*14*13*12*11*10!}{5!10!}[/tex]

[tex]^{15}C_{10} = \frac{15*14*13*12*11}{5!}[/tex]

[tex]^{15}C_{10} = \frac{15*14*13*12*11}{5*4*3*2*1}[/tex]

[tex]^{15}C_{10} = \frac{360360}{120}[/tex]

[tex]^{15}C_{10} = 3003[/tex]

Solving (b) Ways of assigning positions to 10 players.

This implies permutation.

So, we have:

[tex]r=10[/tex]

Using:

[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]

We have:

[tex]^{15}P_{10} = \frac{15!}{(15-10)!}[/tex]

[tex]^{15}P_{10} = \frac{15!}{5!}[/tex]

Solve each factorial

[tex]^{15}P_{10} = \frac{1307674368000}{120}[/tex]

[tex]^{15}P_{10} = 10897286400[/tex]

Solving (c) Ways of choosing at least 1 woman

We have:

[tex]Men = 10[/tex]

[tex]Women = 5[/tex]

Ways of selecting 10 players is: (a) 3003 ways

Since the number of men are 10, there is 1 way of selecting 10 men (i.e. selection without women)

Using complement rule:

At least 1 woman = Total - No woman

[tex]At\ least\ 1\ woman = 3003 - 1[/tex]

[tex]At\ least\ 1\ woman = 3002[/tex]


The paperweight shown below is in the shape of a square pyramid.

What is the volume of this paperweight?

Answers

Answer:45

Step-by-step explanation:

V=a2h

3=62·3.75

3=45

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