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

A triangle has side lengths 8, 7, 4. In a similar triangle the smallest side is represented by x + 5 and the longest side is represented by x - 3. What is the value of x?

Answers

Answer:

x = 11

Step-by-step explanation:

8/4 = (x+5)/(x-3)

cross-multiply:

8(x-3) = 4(x+5)

8x - 24 = 4x + 20

4x  = 44

x = 11

Answer:

Step-by-step explanation:

X=11

The longest known is double than samallest known

2(x-3) = x+5

2x-6 = x+5

x= 11

                   11-3 = 8

                   11+5 = 16

Sides of the known triangle    8,7,4     (side 8 double than side 4)

Sides of the similar triangle       16,14,8   (side 16 double than side  8 )

Taylor has a set of 13 cards, labeled 1 through 13. If she chooses a card at random, what is the probability that the number on it is a prime number?

Answers

Answer:

B. 6/13

Step-by-step explanation:

No of sample space, n(s) = 13

Prime numbers

= ( 2 , 3 , 5 , 7 , 11, 13 )

No of favourable cases, n (e) = 6

Now

Probability that the number on it is a prime number is

P(E) = n(e) / n(s)

= 6/13

Hope it will help :)❤

Question 20
Penny is the manager of a nursery for pre-school children.
She knows that the ratio of the number of adults to the number of children
must be 1:8
Penny has 56 children at the nursery.
(a) Work out the number of adults Penny needs for 56 children.​

Answers

Answer: 7

Step-by-step explanation:

We know that the ratio adults: children must be 1:8.

So if there are 58 children the ration is x: 56

56/8 (to find the number of adults) = 7

7:56 = 1:8

Compare the value of the 3 in 340, 500 to the value of the 3 in 3,160,000
Which statement is true?

Answers

Answer:

C.

Step-by-step explanation:

The table shows the ages of Mark's family members.
Name
Age (years)
381
Phil
Tammy
32
4
Liam
?
Chris
91
4
Andi
4
2
The combined age of all five family members is 95 years. What is Liam's age?
A. 10
years
B.
12 years
o c. 141
years
OD. 15 years

Answers

Answer:

b

Step-by-step explanation:

it's b if I am wrong I am sorry

I need the answer I just need DONT scam with a link

Answers

Answer:

==> C. , = 12x + 16x and 4(3x + 4x)

hope it helps

Please help! 4th grade math. (See below)
*Use an equation to write each fraction or product as a multiple of a unit fraction*
3/5

Answers

Does this work:

1/5+1/5+1/5=3/5

7000 litres of water is pumped out of a tank in 42 minutes. How many litres could be pumped out in one hour at the same rate?

Answers

Answer:

8600 litre×235 will be there in the tanks

How many different amounts of nuggets can you find that can be ordered by combining 6, 9, and 20?

Answers

- Plot- Something interesting happens. After 43 nuggets, it is possible to fill any order request exactly. The number 43 is the largest number of nuggets it is not possible to make using packs of six, nine and twenty.

"Branliest will be appreciated"

10) What is the absolute value of 27? *

Answers

Answer:

27

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

The ratio of a model building's dimensions to the building's actual dimensions is 1/20. If the height of the model is 18 inches, what is the height of the actual building in feet?

Answers

Answer: 360ft

Explanation:
x = 18/1/20
x = 18 x 20
x = 360ft

At the zoo, the length of each iguana is measured. Which statement is best supported by the information below?

A. Over half of the iguanas measure 14 centimeters or more in length.

B. 25% of the iguanas measure 12 centimeters in length.

C. The number of iguanas that measure 15 centimeters or more is equal to the number that measure 11 centimeters or less.

Answers

Answer:

The firm's fixed-charge coverage ratio is 7.89 times

Explanation:

Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.

The formula to compute the fixed charge coverage ratio is shown below:

= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)

= ($400,000 + $50,000) ÷ ($50,000 + $7,000)

= $450,000 ÷ $57,000

= 7.89 times

The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.

Hence, the firm's fixed-charge coverage ratio is

Answer:

The firm's fixed-charge coverage ratio is 7.89 times

Explanation:

Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.

The formula to compute the fixed charge coverage ratio is shown below:

= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)

= ($400,000 + $50,000) ÷ ($50,000 + $7,000)

= $450,000 ÷ $57,000

= 7.89 times

The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.

Hence, the firm's fixed-charge coverage ratio is 7.89 timesAnswer:

The firm's fixed-charge coverage ratio is 7.89 times

Explanation:

Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.

The formula to compute the fixed charge coverage ratio is shown below:

= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)

= ($400,000 + $50,000) ÷ ($50,000 + $7,000)

= $450,000 ÷ $57,000

= 7.89 times

The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.

Hence, the firm's fixed-charge coverage ratio is 7.89 timesAnswer:

The firm's fixed-charge coverage ratio is 7.89 times

Explanation:

Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.

The formula to compute the fixed charge coverage ratio is shown below:

= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)

= ($400,000 + $50,000) ÷ ($50,000 + $7,000)

= $450,000 ÷ $57,000

= 7.89 times

The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.

Hence, the firm's fixed-charge coverage ratio is 7.89 times

Shidd ion even know but can you like my comment?

Pls help me with this

Answers

Answer:

3.7 pi

Step-by-step explanation:

2 pi r( n/360)

22 pi(60/360)

3.7 pi= 11.6

Fina bought a DVD player for $58.97 and a set of DVDs for $24.98. How much did Fina spend in all?

Answers

Fina spent $83.65 in all.

1. Suppose the positive numbers a և b are such that a + b = 7.
A. b-1:
B. 1:
Գ. 0:
D. -1:
E. a

Answers

Գ is the answer for the question

What is 1/3 of $4.89 dollars

Answers

Answer:

im pretty sure its 1.63

Step-by-step explanation:

lmk if im wrong

Gavin went on 24 runs last month that totaled 100 miles. Each run was a distance of either 3 miles or 5 miles. Which system of equations can be used to determine the number of 3-mile runs, x, and the number of 5-mile runs, y, that Gavin went on last month?
A.
x + y = 100
3x + 5y = 24

B.
x + y = 100
5x + 3y = 24

C.
x + y = 24
3x + 5y = 100

D.
x + y = 24
5x + 3y = 100

Answers

Answer:

d

Step-by-step explanation:

Consider the following problem: The box fill weight of Frosted Flakes breakfast cereal follows a normal distribution with a mean of 9.75 ounces and a standard deviation of 0.27 ounces. A sample of 25 boxes filled this morning showed a mean of 9.85 ounces. At the 0.05 significance level, can we conclude that the mean weight is more than 9.75 ounces per box

Answers

Answer:

Yes, we can

Step-by-step explanation:

H0 : μ = 9.75

H1 : μ > 9.75

n = 25 ; xbar = 9.85 ; σ = 0.27

The test statistic:

T = (xbar - μ) ÷ (σ / √n)

T = (9.85 -9.75) ÷ (0.27 ÷ √25)

T = 0.1 ÷ 0.054

T = 1.85

We can obtain the Pvalue from the test statistic using the Pvalue calculator :

Pvalue at t score = 1.85 ; 24 = 0.038

If Pvalue < α ; Reject H0

α = 0.05

Since Pvalue < α ; We reject H0 and conclude that mean weight is more than 9.75 ounces per box

What is the answer please help me no links I will report because it’s not ok

Answers

Answer: 150 minutes

The number of guppies that a fish tank can safely hold depends on its volume. A fish tank should have a volume of 576 cubic inches to safely hold 3 guppies. How many guppies can a fish tank that is 24 inches long, 12 inches wide, and 16 inches high safely hold? It can safely hold ___ guppies.

Answers

The answer is 24 guppies. First find the volume of the tank, then divide that volume by 576 (you should get 8), then you multiply 3 guppies by 8 to get 2e

Which of the following statements is false?
A
Credit cards let you spend unlimited money.
B.
Credit cards have minimum monthly payments.
с
Credit cards give you the chance to build good credit.
D
Credit cards let you spend money that you don't have.

Answers

Answer:

A: Credit Cards let you spend unlimited amount of money.

please help me. please please please​

Answers

Answer:

[tex]\frac{27}{8}[/tex]

Step-by-step explanation:

[tex]\left(\frac{16}{81}\right)^{\frac{-3}{4}}=\frac{16^{\frac{-3}{4}}}{81^{\frac{-3}{4}}}[/tex]

[tex]=\frac{2^{-3} }{3^{-3} }[/tex]

[tex]=\frac{\frac{1}{8}}{\frac{1}{27}}[/tex]

[tex]=\frac{1*27}{8*1}[/tex]

[tex]=\frac{27}{8}[/tex]

What is the difference between 8x3-2x2+5x-7

Answers

-15

this is the answer :)

Answer:

I would say 55

Step-by-step explanation: 8x3=24-4=20+5x7=55

Please help! I need to work out the size of angle x.

Answers

Answer:

50+x=120°{ sum of interior angle of a triangle is equal to the exterior opposite angle of a trianglex=120-50x=70°

hope it helps.

Step-by-step explanation:

50 + x =120

x = 120 -50

x = 70

Dr. Kershaw Invests $25,000. She earns 10.0% simple annual interest on her investment. How
much more interest would Dr. Kershaw earn after 2 years if her investment had earned 10.0%
annual interest compounded annually?
A $5,000
B $0
C $5,250
D $250
i

Answers

Answer:

It should be C.

Step-by-step explanation:

I hope this helps

A study examined the effectiveness of an ear-molding technique used to correct ear deformities in newborns without the need for surgery. A plastic mold was placed around the deformed ear shortly after birth for about two weeks. The study reports that 152 of 158 procedures were successful. We would like to estimate with 95% confidence the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction. We can use

Answers

Answer:

The 95% confidence interval for the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction is (0.932, 0.992).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The study reports that 152 of 158 procedures were successful.

This means that [tex]n = 158, \pi = \frac{152}{158} = 0.962[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.962 - 1.96\sqrt{\frac{0.962*0.038}{150}} = 0.932[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.962 + 1.96\sqrt{\frac{0.962*0.038}{150}} = 0.992[/tex]

The 95% confidence interval for the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction is (0.932, 0.992).

The 95% confidence interval of the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction is; CI = (0.9322, 0.9918)

We want to find confidence interval and the formula is;

CI = p^ ± z√(p^(1 - p^)/n)

We are told that the study reports that 152 of 158 procedures were successful. Thus;

n = 158

p^ = 152/158

p^ = 0.962

Now, we want to find the confidence interval at a 95% confidence level.

The critical z value for 95% confidence level is;

z = 1.96

Thus;

CI = 0.962 ± 1.96√(0.962(1 - 0.962)/158)

CI = 0.962 ± 0.0298

CI = (0.962 - 0.0298), (0.962 + 0.0298)

CI = (0.9322, 0.9918)

Read more at; https://brainly.com/question/17212516

Solve

FIND THE SIMPLE INTEREST WHEN PRINCIPAL= $300, rate = 8%
Time= 4 years





WILL GIVE BRAINLIST


X
X

X
X
X
X
X
X
X
X
X

Answers

Answer:

I = p× r× t

300×8×4

pinicipal × rate × time

That is the formula

the answer is 300×8×4= 9600

GI and JL are parallel lines.

Which angles are supplementary angles?

Answers

Answer:

The answer is A.

Step-by-step explanation:

A supplementary angles are angles that when adding both sides will sum up to 180 Degrees.

<JKH and <LKH will be the correct answer because they add up tp 180 degrees.

Star Me!!!

In sixteen years Paul will be 48 years old.
How old is he now?

Answers

Answer:

32 years old

Step-by-step explanation:

48-16=32

Answer:

Paul is 32 years old

Step-by-step explanation:

48 - 16 = 32

What is the difference of 100 and 10

Answers

Answer:

The difference of 100 and 10 is 90.

Step-by-step explanation:

Answer:

the difference of 100 and 10=100-10=90

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