Dr. Victory is a psychologist studying the effects of high-level classes, bullying, and music classes on the anxiety levels of middle school students. He has previously determined that the effects from class levels, bullying experiences, and music classes are independent. It has been determined that the probability that a student is taking a high-level English class is 0.23, the probability that a student has been bullied is 0.36, and 1/3 of students are in music classes.
(a) What is the probability that a randomly selected student is in a high-level English class and has been bullied?
(b) What is the probability that a randomly selected student is in a music class and has been bullied?
(c) What is the probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class?

Answers

Answer 1

Answer:

a) 0.0828 = 8.28% probability that a randomly selected student is in a high-level English class and has been bullied

b) 0.12 = 12% probability that a randomly selected student is in a music class and has been bullied

c) 0.0276 = 2.76% probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class

Step-by-step explanation:

Probabilities of independent events happening together:

The probabilities of independent events happening together is the multiplication of the probabilities of each event happening.

In this question:

0.23 probability that a student is taking a high-level English class.

0.36 probability that a student has been bullied.

1/3 = 0.3333 probability that a student is in music class.

(a) What is the probability that a randomly selected student is in a high-level English class and has been bullied?

0.23*0.36 = 0.0828

0.0828 = 8.28% probability that a randomly selected student is in a high-level English class and has been bullied

(b) What is the probability that a randomly selected student is in a music class and has been bullied?

0.36*1/3 = 0.12

0.12 = 12% probability that a randomly selected student is in a music class and has been bullied

(c) What is the probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class?

0.23*0.36*1/3 = 0.23*0.12 = 0.0276

0.0276 = 2.76% probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class


Related Questions

Mercedes can select from 2 types of apples and 3 types of pears. If she randomly selects 1 apple and 1 pear, how many possible choices does she have?

Answers

answer:

2,3

2,2

2,1

1,2

1,1

1,3

Those are the possible choices of selecting apples and pears.

If she randomly selects 1 apple and 1 pear then the possible choices are 6.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given that, Mercedes can select from 2 types of apples and 3 types of pears.

Mercedes randomly selects 1 apple and 1 pear.

We need to find the number of possible choices does she have.

(2,3)(2,2)(2,1),(1,2)(1,1)(1,3)

The probability of choosing 1 apple from 2 apples will be 1/2.

The probability of choosing 1 pear from 3 pears will be 1/3.

Now the probability of choosing a apple and a pear will be

1/2×1/3

1/6

Hence, If she randomly selects 1 apple and 1 pear then the possible choices are 6.

To learn more on probability click:

https://brainly.com/question/11234923

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Standing by a pole, a boy 3 2 feet tall
casts a 6-foot shadow. The pole casts a
24-foot shadow. How tall is the pole?

Answers

Answer:

PEPPA PIDD

Step-by-step explanation:

Well the answer would be dababy

construct a rectangle (a and b of known length, d diagonal)

Answers

Just send it duude im down 34-895

Use the Pythagorean Theorem to find the length of the leg in the triangle below. The figure shows a right triangle with one leg marked 3. The hypotenuse is marked 5.

Answers

9514 1404 393

Answer:

  4

Step-by-step explanation:

If the unknown leg is represented by x, then the Pythagorean theorem tells you ...

  x² + 3² = 5²

The sum of the squares of the legs equals the square of the hypotenuse.

Solving for x, we have ...

  x² = 5² -3² = 25 -9 = 16

  x = √16 = 4 . . . . . . . only the positive root is of interest

The missing leg length is 4 units.

_____

Additional comment

This exercise shows you that the triple (3, 4, 5) will form a right triangle. It is the smallest integer "Pythagorean triple", and the only one that is an arithmetic sequence (the differences between the numbers are the same). You will see this a lot, sometimes multiplied by various factors: 6, 8, 10, for example. It is worth remembering.

Answer:

4

Step-by-step explanation:

Correct answers:

$4$

Let a represent the length of the leg and label a on the figure.

The figure shows a right triangle with legs marked a and 3. The hypotenuse is marked 5.

The figure shows a right triangle with legs marked a and 3. The hypotenuse is marked 5.

Using the Pythagorean Theorem with b=3, c=5, and solving for a, we have

a2+b2a2a2a2a2aa=c2=c2−b2=52−32=25−9=16=16−−√=4

The length of the leg is 4.

Could any kind person help me with this equation please

Answers

M’ (-4, 7)

N’ (0, 5)

P’ (2, 0)

Q’ (-2, 1)

you basically change the x and y values by the value it says so you'd subtract 4 from x (the first number) and add 1 to y (the second number)

All but one of the following cannot be used internationally​

Answers

Answer:

I think national flag cannot be used internationally

Step-by-step explanation:

hope it helps you

(+5) × (+4) = 5 × 4 =

Answers

Answer:

20

Step-by-step explanation:

....................

I need help with this

Answers

3 lol have a nice dayyy. yall

Answer: the one with the triangle shaped shaded green.

Step-by-step explanation:

A picture has a height that is 2 times it’s width . It is to be enlarged to an area of 128 in 2
What will the dimensions of the enlargement be , if the equation to represent its area 2x 2 = 128

Answers

9514 1404 393

Answer:

  8 in by 16 in

Step-by-step explanation:

In your equation, we presume that x represents the width. Solving for x, we have ...

  2x² = 128 . . . . . . given equation

  x² = 64 . . . . . . . . divide by 2

  x = √64 = 8 . . . . square root

The enlargement will be 8 inches by 16 inches.

how often did superwireless have faster download times than com-com in these examples

Answers

Answer:

most of the time .........

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

Most of the time

what's 2/5 - 9/10 as a fraction?

Answers

Answer:

- 1/2

Step-by-step explanation:

turn 2/5 to have the same denominator as 10

2 ( 2 ) = 4

5 ( 2 ) = 10

4/10 - 9/10

= -5/10

simplify

-5/10 = -1/2

hope this helps

7. Which is equivalent to (-7) – (-8)?
A. (-7)+8
13. (+7) – (+8)
OC. (-7) + (-8)
D. 7 + (-8)

Answers

Answer:

A) (-7)+8

Step-by-step explanation:

A. (-7)+8

because when you are subtracting 2 negatives, it turns into a positive.
Hope this helps!

What is the probability of choosing a heart or a six from a deck of cards? Type your answer as a fraction.

Answers

Answer:

17/52

Step-by-step explanation:

i dont know if i am doing this wrong but i got non-fiction, fiction, children, school but it is not an option can someone double check

Answers

Answer:

non fic, fiction, children, school

Step-by-step explanation:

fiction: 1/4= 0.25

non fic: 1/2=0.50

school: 1/10= 0.10

children: 3/20= 0.15

Select TRUE or FALSE to indicate if the expression has been simplified correctly.

Answers

Answer:

false its x^6/9

Step-by-step explanation:

There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter .to the nearest meter ,how many meters are in 241 inches ?

Answers

Answer:

6.12 meters

Step-by-step explanation:

5/9 times 8 GUYS PLS HELP ME

Answers

Answer: 4.44

HOPE THIS HELPS

Which expression is equivalent to 4(9 + 7)?

36 + 7
13 + 11
36 + 28
13 + 7

Answers

36+28 because 4(9+7) = 64 and to get this answer you do 4*9 + 4*7 = 36 + 28 = 64

Answer:

4(9+7)=36+28

Step-by-step explanation:

4(9+7)=64

36+7=43

13+11=24

36+28=64

13+7=20 .....

Which condition would prove △JKL ~ △XYZ

Answers

The Answer Is KL/YZ=8

have an amazing day <3

Answer:

D

Step-by-step explanation:

JL/XZ = 8

What is the mean of the data set? 108, 305, 252, 113, 191 Enter your answer in the box.

Answers

Answer:

193.8  its right

Step-by-step explanation:

Answer:

193.8

Step-by-step explanation:

John applied for a loan of $5,000.00 with an annual interest rate of 3% to be repaid monthly for a year. The loan terms include a processing fee of 0.1% of the loan amount and a quarterly administrative charge of 0.05% of the loan amount. What is the total cost of financing?​

Answers

Answer:

Enter the amount of money you are investing. Start Year. Enter the year in which the money was first invested. End Year. Enter the future year on which you want to base your calculation. Annual Interest Rate. Enter the annual compound interest rate you expect to earn on the investment. The default value (2.0%) equals the rate currently paid on five-year Guaranteed Investment Certificates

Step-by-step explanation:

why do we need to know the different abbreviation of measurements and its equivalent?

Answers

Answer:

See explanation.

Step-by-step explanation:

You will need to know the abbreviations of measurements because when pertaining to the real world, an you will see things as so "This fence is about 15ft tall." or "Jacobb is 72in tall."  If you do not understand the abbreviations you will not understand what anyone is ever talking about when it comes to measurements. As for knowing how to convert measures to be equivalent, that is important because some measurements are bigger than others. It doesn't make since to say 12 inches, when you can just say 1 foot.

Can someone tell me which one of the following options from my photo is correct?

Answers

Answer:

C and E

Step-by-step explanation:

Expressions does not contain any equal or less than greater than sign

So C and E are the right answers

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Group of answer choices

Answers

Answer:

210/240 simplified is 7/8

Step-by-step explanation:

Experimental probability is based on whats already being tested hope this helps!

Review the graph of function g(x).

On a coordinate plane, a line goes from open circle (0, 0) through (negative 4, 2). A curve goes from the open circle to (2, 1) and then down through open circle (4, 0). A closed circle is at (4, negative 2).

Which table identifies Limit as x approaches 0g(x) and Limit as x approaches 4g(x), if they exist?


Limit of g (x) as x approaches 0 0
Limit of g (x) as x approaches 4 0

Limit of g (x) as x approaches 0 DNE
Limit of g (x) as x approaches 4 DNE
Limit of g (x) as x approaches 0 0
Limit of g (x) as x approaches 4 −2

Limit of g (x) as x approaches 0 DNE
Limit of g (x) as x approaches 4 −2

Answers

Answer:

The Answer is A) 0,0

Step-by-step explanation:

I got it right!

Which are the roots of the quadratic function f(q) = q2 – 125? Select two options.

q = 55 StartRoot 5 EndRoot
q = -5Negative 5 StartRoot 5 Endroot
q = 33 StartRoot 5 Endroot
q = -3Negative 3 StartRoot 5 EndRoot
q = 2525 StartRoot 5 EndRoot

100 points i just need helpp

Answers

Answer:

5sqrt(5) = q

-5sqrt(5) = q

Step-by-step explanation:

f(q) = q^2 -125

To find the roots set the equation equal to zero

0 = q^2 -125

Add 125 to each side

125 = q^2 -125+125

125 = q^2

Take the square root of each side

±sqrt(125) = sqrt(q^2)

±sqrt( 5*25) = q

±sqrt( 25)* sqrt(5) = q

±5* sqrt(5) = q

±5sqrt(5) = q

Answer:

Guy above deserves brainliest

Step-by-step explanation:

a) 9/7
b) 9/-7
c) 7/9
d) -9/7
e) -9/-7​

Answers

Answer:

a) 9/7

Step-by-step explanation:

[tex] \dfrac{x^2 + x - 20}{x^2 - x - 12} = [/tex]

[tex] = \dfrac{(x + 5)(x - 4)}{(x + 3)(x - 4)} [/tex]

[tex] = \dfrac{x + 5}{x + 3} [/tex]

x = 4

[tex] = \dfrac{4 + 5}{4 + 3} [/tex]

[tex] = \dfrac{9}{7} [/tex]

please help me how to get the answer for this one

Answers

Answer:

i say c sorry if im wrong

Step-by-step explanation:

The correct answer is each term in patter A is 8 times more than pattern B.
So the answer is D

Ralphie's dad has a nutritionist who instructed him to consume less than 2,163 calories per day. He has already consumed 1,503 calories today and wants to eat some fruit bars that are 66 calories each. Which of the following inequalities could be used to solve for x, the number of fruit bars Ralphie's dad can eat without going over his calorie allotment?

Answers

Answer:

Ralphie's dad can eat 8 fruit bars without going over his calorie allotment.

If ax+b=3 and a=0, then x=

Answers

Answer: the answer is e

Step-by-step explanation:

If ax + b = 0, is x > 0

(1) a + b > 0

(2) a - b > 0

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