Mathematics College

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

How many 3 digit numbers can be constructed from the digits 3 4 5 6 7

Answers

Answer:

60 numbers

Step-by-step explanation:

3 4 5 6 7

for everything starting with 3

345

346

347

354

356

357

364

365

367

376

375

374

we know the results will be the same

there was 12 numbers in that sequence

theres 4 other numbers it could start with

12 + (12x4) = 12x5

There are 63 students marching in a band, and they’re marching in 7 rows. How many students are in each row?

Answers

There are 9 students in each row.

Diego needs rug with an area of 540sq feet what are all the ways to get 540 square feet

Answers

Answer:

260*2

540*1

180*3

135*4

108*5

Step-by-step explanation:

Complete the square to find
the vertex of this parabola.
x2 - 8x - y - 4 = 0
([?], [ ]

Answers

Answer:

-20

Step-by-step explanation:

Complete the square to find the vertex of this parablola x^2-8x-y-4=0 {the second one of -20; so 4,-20}

Step-by-step explanation:

The answer would be (4,-20)

Fill in 4 and -20

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Answers

Answer:

x=15

Angle (5x+6): 81

Angle (8x-39): 81

Step-by-step explanation:

5x+6=8x-39

add 39 to both sides

5x+45=8x

-5x on both sides

45=3x

divide both sides by 3

x=15

Acellus
Find the measure of < 4.
44
158°
{
*4 = [?]
Fnter

Answers

<4=22°

Answer:

<4+158=180 co interior angle

<4=180-158=22°

Answer:

solution given:

<4+<158°=180°[co- interior angle]

<4=180°-<158°=22°

<4=22° is your answer

Write the equation of the line (in point-slope form) that passes through the point (3, -4) and has a slope of 6.

Answers

Answer:

y+4=6(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=6(x-3)

y+4=6(x-3)

Corinna rowed 4/5 mile on a rowing machine in 1/6 hour. What is her rowing rate in miles per hour

Answers

Answer: 8.20 miles I believe

Complete the expression so that it forms a perfect square trinomial--don't forget the sign for an operation. Then write the expression for the perfect square binomial using ^ to make an exponent. x^2+5 perfect square binomial

Answers

The perfect square trinomial is x^2 + 45/4.

To complete the expression as a perfect square trinomial, we need to add a term to the given expression, x^2 + 5, in such a way that it becomes a perfect square.

A perfect square trinomial can be written in the form (a + b)^2, where a and b are real numbers.

In this case, we can observe that the coefficient of x^2 is already 1, so the value of a will be 1.

To find the value of b, we take half of the coefficient of x, which is (5/2), and square it: (5/2)^2 = 25/4.

Now, we can add this term to the given expression:

x^2 + 5 + 25/4

Combining the terms, we get:

x^2 + 25/4 + 20/4

Simplifying further:

x^2 + 45/4

For the perfect square binomial, we can write the expression using the exponent notation as follows:

(x + (sqrt(45/4)))^2

Note that sqrt denotes the square root.

For more questions on square trinomial

https://brainly.com/question/30669742

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What is the radius and diameter of the following circle?
16 cm

Answers

Answer:

radius is 16

diameter is 32

Step-by-step explanation:

Your radius is the line starting from the point in the middle to any part of the edge of the circle. A diameter is when there is a long straight line from both ends reaching the edges of the circle crossing the point.

A diameter is just the radius doubled but except it all has to be straight coming reaching both edges.

A radius is half of a diameter.

Answer:

radius = 16 cm

diameter = 32 cm

Step-by-step explanation:

radius = a straight line from the center of the circle to any point on the circle's circumference

We are given the radius (16 cm)

The diameter is equal to twice the length of the radius

So diameter = 16 * 2

16*2=32 so the length of the diameter is 32 cm

which of the following describes the data set? 6,7,11,14,20,30,35

Answers

Answer:

The numbers are already in order so you don't need to do anything

Answer:

its b for me but d for yall

Step-by-step explanation:

all you do is count up hope this helps can u mark me brainlest

There are 45 students in a speech contest. Yesterday, 1/3 of them gave their speeches. Today, 2/5 of the remaining students gave their speeches. How many students still haven't given their speeches?

Answers

1/3 of 45 is 15, meaning 15 students gave their speech on day 1

Today 2/5 of the remaining students gave their speech. That’s 12 more

So a total of 27 students gave their speeches. That means 18 students remain. The answer is 18

Write the standard form of an equation with p=3sqrt2, theta=135.
a. x-y+sqrt2=0
b. x-y+6=0
c. x-y+3sqrt2=0
d. x+y+sqrt2=0

Answers

Its b In normal form of a straight line, the equation is given by where p is the perpendicular distance of the line from the origin and is the angle between the perpendicular line and the positive direction of the x-axis.

I would appreciate if someone could help me with this problem and answer it I will give you a brainlist :)

Answers

To me from the picture, all sides look the same. so I’m guessing it’s probably 11

Solving two-step equations:

106 = 1 + 7n

Answers

move 1 to the other side, making it negative
-1+106=7n
105=7n
divide both sides by 7
n=15

Answer:

n = 15

Step-by-step explanation:

106 = 1 + 7n

1- 1-

-------------------

105 = 7n

÷7 ÷7

------------------

15 = n

your goal is to get the variable by itself

Write rational numbers between 0 and 1
-----------------------------------------------------------------------------------------
please also say how did you solve it
this question has 10 points
I will mark you as Brillant if you answer it

Answers

Step-by-step explanation:

0/1 , 1/1

Multiply there denominators with any number...

0/1×60=0/60

1/1××60=60/60

Now,

You have many choices...

1/60,10/60,30/60,2/60,5/60........so on....

convert 320% to an equivalent decimal.

Answers

Answer:

Answer is 3.2

Step-by-step explanation: you can take any percent and divide it by 100. So in this example you would divide 320/100 and it will give you 3.2

For an F distribution, find the following:

(a) f 0.25,825
(b) f 0.10,12,15
(c) f 0.01,12,6

Answers

Answer:

1.39 ; 2.02 ; 2.90

Step-by-step explanation:

From the F - distribution calculator

F0.25, 8, 2 ;

u = 8 ; v = 25 ; cumulative probability = 1 - 0.25 = 0.75

F value = 1.39

F0.10,12,15 :

u = 12 ; v = 15 ; cumulative probability = 1 - 0.10 = 0.90

F value = 2.02

F0.01,12,6

u = 12 ; v = 6 ; cumulative probability = 1 - 0.01 = 0.90

F value = 2.90

what is 1000x45 how do i get the anwser

Answers

Answer:

45000

Step-by-step explanation:

put the equation like this

1000

x 45

And multiple form right to left or just take 45 and add 3 0's because anything multiplied by 1 is what number u multiplied it by

Answer:45000

Step-by-step explanation:

so you know that 10x45=450 just add 2 more zeros and thats ur answer may i be marked brainliest

Three vans can carry
18 adults. How many
adults are in 7 vans?

Answers

Answer:

Step-by-step explanation:

18/3= 6

6x7= 42

Answer:

42 with u need me to explain just say it in the comments :) hope this help

Step-by-step explanation:

Unit 10 circles homework 2 back side

Answers

There’s no question?

Question 9 of 10
Thurston deposited $8400 into a savings account that earns 2.5% simple
interest each year calculated annually. What is the future value of Thurston's
account after 14 years?
A. $2940
B. $19,740
C. $11,340
D. $8610
SUBMIT

Answers

Answer:$11,340

Step-by-step explanation:

If Thurston deposited $8400 into a savings account that earns 2.5% simple

interest each year calculated annually. What is the future value of Thurston's account after 14 years will be is C. $11,340

Using this formula

Future value=Principal+[(Principal ×Rate ×Time)÷100]

Where:

Principal=$8,400

Rate=2.5%

Time=14 years

Let plug in the formula

Future valve=$8,400+[($8,400×2.5%×14)÷100]

Future valve=$8,400+($294,000÷100)

Future valve=$8,400+$2,940

Future valve=$11,340

Inconclusion if Thurston deposited $8400 into a savings account that earns 2.5% simple interest each year calculated annually. What is the future value of Thurston's account after 14 years will be is C. $11,340

Learn more here:https://brainly.com/question/9716053

which number multiplied by itself will give the output as 12345678987654321?

Answers

Answer:what we observe is that the square of the number follows a pattern: 2 1's gives 121. 3 1's gives 12321. so to get 12345678987654321 we need to get square of 9 1's(111,111,111).

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

Second one

Step-by-step explanation:

Answer:

C. A 90° clockwise rotation about the origin

choose the equation that describes the relationship in the following table. please answer ASAP ty

Answers

Answer:

C) y = -5x + 32

Step-by-step explanation:

Only choice where the all the x values equal the y values

Find the 11th term in the following geometric sequence.
-5,-10,-20,-40

Answers

-80....each number is double the one before it

The length of a rectangle is 3 times the width. The area of this rectangle is 243 feet squared.
What are the dimensions?
Width =____feet (this is the short side)
Length=____feet (this is the long side that is 3 times the width)

Answers

Step-by-step explanation:

width = x

length= 3x

Area = length * width

243=3x * x

3÷243 =3x^2÷3

√81=√x^2

x=9

3x=3*9=27

Width=9

Length=27

Which of the following is the equation of the circle shown below?

Answers

Answer:

Step-by-step explanation:

Center is 6, -2

Radius is 7

(x-6)^2 + (y + 4)^2 = 7^2

==============

Please give brainliest, I really want to rank up, thank you!

PLEASE HELP!
Find the area and circumference of the following. Leave in terms of pi. * 2 poir
16
Area = 100pi and Circumference = 50 pi
Area = 256pi and Circumference = 32 pi
Area = 100 pi and Circumference = 55 pi

Answers

Answer:

B. Area = 256pi & Circumference = 32pi

Step-by-step explanation:

Area = pi r^2

A = pi (16)^2

A = 256pi

Circumference = 2pi r

C = 2(pi)(16)

C = 32pi

Marcus is painting the outside of a shoe box for an art project. The box is 9 cm x 10 cm x 3 cm. How much paint does Marcus need?

Answers

Answer:

294 cm^2

Step-by-step explanation:

This question is asking for the surface area of all 6 sides of the Shoe box. Hence we will have to multiply all the dimensions with each other twice to get the surface area of all the sides.

9x10x2=180

9x3x2=54

10x3x2=60

Adding them together we get 294 cm^2.

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