According to a recent study, the mean number of hours college students spent playing video games per month was 22 hours with a population standard deviation of 2 hours. Two weeks before final exams were scheduled to begin, 100 college students were randomly selected. What is the probability that the mean number of hours spent playing video games is less than 21.8 hours

Answers

Answer 1

Answer:

0.15866

Step-by-step explanation:

Given that:

Mean, m = 22

Standard deviation, s = 2

Sample size, n = 100

P(x < 21.8):

Obtain the Zscore ;

Z = (x - m) ÷s/sqrt(n)

Z = (21.8 - 22) ÷ 2/sqrt(100)

Z = - 0. 2 ÷ 0.2

Z = - 1

P(Z < - 1)

From Z probability calculator :

P(Z < - 1) = 0.15866

Hence, Probability of obtaining a score less than. 21.8 is 0.15866

Answer 2

Answer:

ux=22

sdx=0.2

p(x<21.8)=0.159

just took the test

Step-by-step explanation:


Related Questions

Evaluate -2x^3-3x^2+4 for x=-2

Answers

Answer: 8

Step-by-step explanation:

1. Rewrite the equation:

-2x^3 - 3x^2 + 4     x = -2

2. Plug in the value of x, -2

-2(-2)^3 - 3(-2)^2 + 4

3. Use order of operations (PEMDAS):

-2(-8) - 3(4) + 4

= 16 - 12 + 4

= 8

Each month, 8 magazines arrive at Sydney's home. Write an equation that would show the number of motnths (n) it took for Sydney to receive 56 magazines.
btw this is multiple choice so this is the choices
A. 56n=8
B.n+8=56
C.8n=56
D.56-n=8
help me asap​

Answers

C.
Since 8 magazines are areiving each month (n) and the total is 56, all you have to do is multiply 8 by n and you get 56, the actual answer would be 7 though.

Answer:

C.8n=56

Step-by-step explanation:

For each of the following studies, say whether you would use a t test for dependent means or a t test for independent means.

a. A researcher randomly assigns a group of 25 unemployed workers to receive a new job skills program and 24 other workers to receive the stan- dard job skills program, and then measures how well they all do on a job skills test.
b. A researcher measures self-esteem in 21 students before and after taking a difficult exam.
c. A researcher tests reaction time of each member of a group of 14 individuals twice, once while in a very hot room and once while in a normal- temperature room.

Answers

Answer:

1. T test for independent means

2. T test for dependent means

3. T test for dependent means

Step-by-step explanation:

In number 1, the two groups are unrelated. The first group has 25 subjects and they're all unemployed. The second group has 24 subjects and their employment status is not stated and might not be the same all through. Also, the first group is receiving a new type of job skills program while the second group is taking the standard job skills program.

- The groups in the experiment are unrelated

- The tests in the research are unrelated

- The purpose of the research is unreasonable - the researcher seeks to measure how well all 49 subjects perform on 'a' job skills test! No comparison between the scores or mean scores of the two groups.

In number 2, the researcher uses the same subjects and also measures the same variable but twice. This is a good example of a study where the t test for dependent means can be taken. Same applies in case 3.

Select all numbers that have an absolute value of 6.3.

Answers

Answer:

-6.3

Step-by-step explanation:

Its the only thing I can think of. |-6.3| |6.3|

40 points help me please

Answers

Answer:

x=60

Step-by-step explanation:

(1/6)(x+6)=11

Multiply both sides by six:

(6)(1/6)(x+6)=11(6)

x+6=66

Take six from both sides:

x+6-6=66-6

x=60

dsfdewasedq24q2rwe3rq24rqweretretrrawsweqaeqw2e3q2wqewwasedq24q2rwe3rq24rqweretretrrawsweqaeqw2e3q2wqew

Answers

Answer:

???

Step-by-step explanation:

Cindy works on the weekends at the local coffee shop. Last Saturday she worked 7.5 hours and
on Sunday she worked 8 hours. She earns $9 per hour. How much did she earn last weekend?
F:97.00 G:89.50 H:139.50 J:109.00

Answers

Please don’t use the link below

hi can I send a screenshot?​

Answers

Answer:

Yeah

Step-by-step explanation:

☁️ Answer ☁️

Yes! Send a screenshot and ask ur question

i need help i will crown brainiest

Answers

Answer:25 if your looking for the number of ways to order 5 objects

Step-by-step explanation:

If your looking for the probability of 1 number the ways for it to be arranged l believe It is 5x5 hope this helps

Anyone can help me with questions

Answers

Answer:

3x+18+4x+15=180

7x+33=180

7x=147

x=21

Pls help quick i beg please,Complete the explanation blank and blank 1 whole stirp could represent 1 blank and the 1/3 strip could represent blank. please help like please cause if you do it i make you The Brainliest

Answers

Answer:

Feet and yards; the 1 whole strip could represent 1 yd. and the [tex]\frac{1}{3}[/tex] strip could represent feet.

A family goes out to dinner, and their bill before tax costs $68. Tax is 7.5%. They give a tip of 20% of the bill, calculated after adding tax. What was the total cost of their dinner, after-tax, and tip?

Answers

Answer

87.72

Step-by-step explanation:

7.5% of 68 is 5.1 so 68+5.1=73.1

20% of 73.1=14.62 sooooo                        14.62+73.1=87.72

AUTHORITY ? description In your own words .this phrase has probably done more damage to investors than just about any other in all of market history.​

Answers

Answer:

Authority is the accepted power of a person or an organization to lead another person or group. In a political sense, authority also stands for the power and dominion over an area or country held by the government. Authority legitimized by law or government is called 'competent authority'. A person who is generally respected by knowledge or status in a certain area is 'authoritative' in that area.

Authority regulates the relationships between people in society. If authority is absent, anarchy reigns. The difference between authority and power is that authority is legitimate. It has the right to exercise this power by, for example, imposing sanctions.

What are the solutions of the quadratic equation 4x2 - 8x – 12 = 0?

Answers

Answer:

see bottom

Step-by-step explanation:

divide through by 4

x2 - 2x - 3 = 0

x2 - 3x + x - 3 = 0

(x2 - 3x) + (x - 3) = 0

x(x - 3) + 1(x - 3) = 0

(x + 1) (x - 3) = 0

x + 1 = 0 and x - 3 = 0

x = -1 and x = 3

5(a-b), if a= -4, b =-2

Answers

the answer is -10
just input the numbers where the variables are so your question turns into 5(-4 - -2)
hope this helps!!

Answer:

-10

Step-by-step explanation:

a= -4

b = -2

5(a-b)

5( -4 - (-2))

5( -4 + 2)

5(-2)

-10

nabiha wants to decorate her home for an upcoming party she bought a roll of ribbon from "dollarama" which is 3.2 m long

(a) how many 15 cm of ribbon can be cut from a 3.2m long ribbon
(b) how long is the remaining peice

Answers

Answer:

A = 21

B = 5

Step-by-step explanation:

1 meter = 100 centimeters

This means that she has 320cm of ribbon. Now you need to divide 320 by 15

320/15 = 21.3333333333

So to check your work you could multiply 15 by 21

15 x 21 = 315

This answer is less than 320 so you now know that Nabiha can cut 21 pieces of ribbon that are 15cm long. You also know that the remaining piece is 320 - 315 = 5.

Please award me brainiest! Hope this helps!

An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 429 watts with a standard deviation of 10 watts. What is the probability that the mean amplifier output would be greater than 432.1 watts in a sample of 76 amplifiers if the claim is true

Answers

Answer:

0.0035 = 0.35% probability that the mean amplifier output would be greater than 432.1 watts.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean output of 429 watts with a standard deviation of 10 watts.

This means that [tex]\mu = 429, \sigma = 10[/tex]

Sample of 76:

This means that [tex]n = 76, s = \frac{10}{\sqrt{76}} = 1.147[/tex]

What is the probability that the mean amplifier output would be greater than 432.1 watts?

This is 1 subtracted by the pvalue of Z when X = 432.1. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{432.1 - 429}{1.147}[/tex]

[tex]Z = 2.7[/tex]

[tex]Z = 2.7[/tex] has a pvalue of 0.9965

1 - 0.9965 = 0.0035

0.0035 = 0.35% probability that the mean amplifier output would be greater than 432.1 watts.

Darren has traveled
2/3
of his total trip. He has traveled 21 miles so far. How many more miles does he have to travel?

Answers

Answer:

The answer is 7 miles

Step-by-step explanation:

2/3 × 21 = 14

21-14 = 7

The answer is 10.5 miles because if 2/3 is 21 then 1/3 would be half of that which is 10.5 miles, and since there is only 1/3 left of the trip then he has to travel 10.5 more miles

how do you find how many pounds he used, and how many pounds did he use?

Answers

Answer:

I'm not too sure what you are referring too and I can't clearly see the image but I'll give you some tips!

One way to find out how many pounds he used is to add all the pounds you know he used (what is written down) or to multiply, divide, whatever is best for the situation

so yeah hope this helped!

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ

Answers

Answer:

D

Step-by-step explanation:

They are trying to see how long it takes people to complete the writing portion of the test.

Using the following data, calculate the mean absolute deviation: 7 2 8 5 9 9 5 6 8 1 What is the mean absolute deviation for these data? (4 points)​

Answers

Answer:

The mean absolute deviation is 2. Hope this helps

Step-by-step explanation:

7+2+8+9+9+5+6+8+1=5.5

7-5.5=1.5

5.5-2=3.5

8-5.5=2.5

9-5.5=3.5

9-5.5=3.5

5.5-5=0.5

6-5.5=1.5

8-5.5 2.5

5.5-1=4.5

1.5+3.5+2.5+3.5+3.5+0.5+1.5+2.5+4.5=2

Answer is 2.

I hope this can help!

Have a nice day :)

~Amy

Which sign makes this number sentence true?

|-6| __ |6|
A. >
B. <
C. =
D.

Answers

Answer:

C. =

Step-by-step explanation:

whenever you have |  | It will always be positive so -6 turns to 6 and that makes it equal.

Will give brainliest

Find the area of the following
triangle:
5 cm
10 cm
A= [?] cm2
Enter the exact answer as a decimal.

Answers

Answer:

25

Step-by-step explanation:

a=1/2bh

a=1/2(5)(10)

a=1/2(50)

a=25

Write and equation and solve it for the following:

Seven more that twice a number is 25. What is the number?

Answers

Answer: Equation: 2n+7=25 Number: n=9

Step-by-step explanation: Twice a number is 2 × n= 2n. 7 more is +7. Hence we get 2n+7=25. Subtract 7 from both sides then divide by 2 and we get 9!

Answer:

9

Step-by-step explanation:

Work backwards

25 - 7 = 18

18 ÷ 2 = 9

You can solve the problem normally to check.

9 × 2 = 18

18 + 7 = 25

That proves that the answer is right. Hope this helps you! Let me know how you did!

HELP LOOK AT THE PHOTO PLEASEEE

Answers

Answer:

The answer to the question provided is 60.

HELP THIS IS DUE TODAY. A B C or D. The table shows the relationship of how many pounds of pecans are needed to make a certain number of pies:


Number of Pies
3
6
9
Pounds of Pecans
2
4
6


Which graph below shows plots of equivalent ratios for this situation?
A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Pecans. Points are plotted on the ordered pairs 15, 10 and 30, 20 and 45, 30.
A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Pecans. Points are plotted on the ordered pairs 10, 15 and 20, 30 and 30, 45.
A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Pecans. Points are plotted on the ordered pairs 15, 10 and 25, 10 and 35, 10.
A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Pecans. Points are plotted on the ordered pairs 10, 30, and 20, 20 and 30, 10.

Answers

The 4th, did this and got a 100%

The graph represents the gallons of water (y) per minute (x) dispensed by a shower head. Which statements are correct?

Answers

The relationship has been analysed using the property of straight line.The correct options are (C), (D) and (E) respectively.

How to represent a straight line on a graph?

To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.

The given options are examined one by one as follows,

(a) The point (0, 0) on the graph represents the zero number of gallons dispensed at the beginning.

(b) The point (5, 1) does not lie on the graph.

(c)  The point (1, 5) represents 5 gallons dispensed during 1 minute which is equivalent to the unit rate.

(d) The point (1.5, 7.5) lies on the graph which represents 7.5 gallons dispensed in 1.5 minutes.

(e) The point (0, 0) shows no gallons dispensed at t = 0.

Hence, the correct information inferred from the graph are the point (1, 5) represents the unit rate, 7.5 gallons for 1.5 minutes and the point (0, 0) represents zero minutes for zero gallons.

To know more about graph of straight line click on,

https://brainly.com/question/16934180

#SPJ1

can someone please help me ?? i’ll give brainliest

Answers

Answer:

ABE bc its the same degree angle

Step-by-step explanation:

Answer:

C) angle BEF

Step-by-step explanation:

Vertical angles are angles opposite each other where two lines cross. BEF is opposite of DEH

simplify the sum x-2/x+3 + 10x/x^2-9 please show your work

Answers

Answer:

Step-by-step explanation:

simpify each term

x- 2/x +3+ 10/x -9

combine fractions

x+3 -9 + 8/x

find common denominator then simplify terms                          [tex]\frac{x*x}{x}+\frac{3x}{x}+\frac{-9x}{x}+\frac{8}{x}[/tex]

[tex]\frac{x^{2}-6x+8 }{x}[/tex]

factor

[tex]\frac{(x-4) (x-2)}{x}[/tex]

Answer:

(x−4)(x−2)x

Step-by-step explanation:

: Find the equation of the tangent line to the curve f(x)= e^xat x_0= 2, and show this line on the graph.

Answers

The tangent line to f(x) = e ˣ at the point x = 2 has slope equal to f ' (2):

f(x) = e ˣ   →   f '(x) = e ˣ   →   f ' (2) = e ²

At x = 2, the function takes on a value of f (2) = e ². Use the point-slope formula to get the equation of the tangent line:

y - e ² = e ² (x - 2)

Solve for y :

y = e ² x - e ²

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