Assume that police estimate that 12​% of drivers do not wear their seatbelts. They set up a safety​ roadblock, stopping cars to check for seatbelt use. They stop 50 cars during the first hour. a. Find the​ mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts. Use the fact that the mean of a geometric distribution is μ= 1 p and

Answers

Answer 1

Answer: mean = 8.33, variance =61.11 , standrad deviation = 7.82

Step-by-step explanation:

For geometric distribution,

Mean = [tex]\dfrac1p[/tex]

variance = [tex]\dfrac{1-p}{p^2}[/tex]

Standard deviation[tex]=\sqrt{Variance}[/tex] , where p = probability of success in each trial.

Given: p= 0.12

Mean = [tex]\dfrac1{0.12}=8.33[/tex]

Variance = [tex]\dfrac{1-0.12}{0.12^2}=\dfrac{0.88}{0.0144}=61.11[/tex]

Standard deviation = [tex]\sqrt{61.11}\approx7.82[/tex]

Hence,  mean = 8.33, variance =61.11 , standrad deviation = 7.82


Related Questions

Name the integers and the rational numbers in the given set. {-2,5, √6, 2/3,π Select the correct choice below and fill in any answer boxes within your choices. whts the answer ? ​

Answers

-2,5=integers 2/3=rational

The spinner below is spun twice. Make a table and calculate the probability of getting green twice.

Answers

Answer:

1/9

Step-by-step explanation:

3 out comes

green black purple spin twice

3*3=9 total outcome

1/9

Scale factor: 2:1

10 in

5 in

13 in

Scale drawing

Object

A. Side a is 26 inches long, side bis 20 inches long, and side cis 10

inches long

B. Side a is 15 inches long, side bis 12 inches long, and side cis 7

inches long

C. Side a is 11 inches long, side bis 8 inches long, and side cis 3

inches long

D. Side ais 2.5 inches long, side bis 5 inches long, and side cis 6.5

inches long

Answers

Answer: A. Side a is 26 inches long, side b is 20 inches long, and side c is 10.

Step-by-step explanation:

Scale factor for drawing = 2:1

Dimensions of drawing :  10 in, 5 in, 13 in

Dimension of object = Scale factor x Dimension of drawing

Sides of object:

2 x 10 in =20 in   [b]

2 x 5 in = 10 in  [c]

2 x 13 in = 26 in.  [a]

Hence, the correct option is

A. Side a is 26 inches long, side b is 20 inches long, and side c is 10.

Answer:

Side a is 2.5 inches long, side b is 5 inches long and side c is 6.5 inches long.

Step-by-step explanation:

What is 0.25 as a fraction

Answers

Answer:

1/4

Step-by-step explanation:

[tex]\frac{1}{4}[/tex]

Answer: 1/4

Step-by-step explanation:

Trust me ;)

Part A
At the market, Meyer buys a bunch of bananas for $0.50 per pound and a frozen pizza for $6. The total for his purchase was $8.50.
Which equation can be used to determine how many pounds p of bananas Meyer bought?
A) 0.5p - 6 = 8.50
OB) 0.5p + 6 = 8.50
O C) 6p - 0.5 = 8.50
OD) 6p + 0.5 = 8.50

Answers

Answer:

B) 0.5p + 6 = 8.50

Step-by-step explanation:

If bananas cost $0.50 per pound, you would have to multiply that by how many pounds Meyer bought, or p. When you found how many bananas Meyer bought, you would have to add the money for the frozen pizza ($6) That will give you a total of $8.50.

Answer:

5 pounds

Step-by-step explanation:

First, we need to find the value of 0.5p so our equation is:

8.5 - 6 = 2.5

Then we need to find the value of p in that 2.5, so our equation is:

2.5 ÷ 0.5 = 5

So Meyer bought 5 pounds of bananas

If you are able to save, $150 dollars per month-how many months will it take you to
save $2,500 dollars.
HELP ME

Answers

Answer:

16.66months

Step-by-step explanation:

2500/150

I agree with the person above 16.66

What is the slope of y=-5+4x

Answers

the slope of the equation is 4x


Is 0.456 greater than or less than 0.5

Answers

Answer:

0.456 is less than 0.5

Step-by-step explanation:

2. 2x2 + 24x + 13
How do I write the following in vertex form

Answers

Answer:

y=2(x+6)^2 -59

Step-by-step explanation:

AS ALWAYS, DUE TODAY!!! WILL GIVE EVERYTHING GOOD!!! NOTE: I NEED THE COORDINATES!!! I STILL NEED HELP WITH THIS!!!

Answers

Answer:

(2, 5)

Step-by-step explanation:

1) What is the sample space for the given situation?
A) [2, 3, 4, 5, 6, 7, 8, 9)
B) [3, 4, 5, 6, 7, 8, 9)
(1,3,5,7,9
D) {3,5,7)
Please help

Answers

Answer:

false_(a) 3 € {2,4,6,8} false_(b) 0 € false (c) {1} € {1, 2, 3} true_(d) {2} S {1, 2, 3} true (e) {1, 3, 5, 7, 9) = {1, 5, 9, 3, 7) false_(f) {1,3,5, 9) = {1,3,5,9} true_ () Ø Ç {1,3

Step-by-step explanation:

i don't know about this is this it ?

What is 191 divided by 9?

Answers

Answer:

21. 2

Step-by-step explanation:

Answer:

21.222222222222222

Step-by-step explanation:

A manufacturing firm tests job applicants. Test scores are normally distributed with a mean of 500 and a standard deviation of 50. What is the probability that the candidate score is 600 or greater

Answers

Answer:

The probability that the candidate score is 600 or greater

P(X≥ 600 ) = 0.0228

Step-by-step explanation:

Step(i):-

Given mean of the Population = 500

Given standard deviation of the Population = 50

Let 'X' be the random variable in normal distribution

Given  X = 600

[tex]Z = \frac{x-mean}{S.D} = \frac{600-500}{50} = \frac{100}{50} =2[/tex]

Step(ii):-

The probability that the candidate score is 600 or greater

P(X≥ 600 ) = P(z≥2)

                  = 0.5 - A(2)

                 = 0.5 -0.4772

                = 0.0228

Final answer:-

The probability that the candidate score is 600 or greater

P(X≥ 600 ) = 0.0228

Simplify

(4x+2)+(x-1)=

Answers

Answer:

5x+1

Step-by-step explanation:

(4x+2)+(x-1)=

Combine like terms

4x+x   +2 -1

5x+1

Can someone give me the answer and explain it to me? I honestly don't even get this-

The graph shows the number of gallons of white paint that were mixed with gallons of yellow paint in various different ratios:

Graph titled Mixing Paint, horizontal axis labeled Yellow Paint in gallons, and vertical axis labeled White Paint in gallons is shown. The horizontal scale is 0 to 24 in increments of 3. The vertical scale is 0 to 168 in increments of 21. The plotted points are 3, 21 and 6, 42 and 9, 63.

The number of gallons of white paint mixed with 1 gallon of yellow paint is ______.

Answers

Answer:

the ratio is 1:7

so the answer is 7 gallons of white paint

Step-by-step explanation:

Hope this helps!!

Answer:

7

Step-by-step explanation:

on the graph, it shows that for every 21 gallons of white paint there are 3 gallons of yellow. Then you divide 3 by 21 and the answer is 7.

HELP ASAP. WILL GIVE BRAINLIEST

Answers

Answer:

15 x p = 300 OR 15p = 300

Step-by-step explanation:

AC = 3x + 6 and CD = 2x + 14. Find x

Answers

Answer:

x= 8

Step-by-step explanation:

3x+6=2x+14

=8

put the equations together like previously shown. and combine like terms to solve for x

what is the slope intercept form of the equation of the line?

Answers

Answer:

The slope-intercept form of the equation of the line is:

y = 2/3x + 2

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slopeb is the y-intercept

Given the points

(0, 2)(3, 4)

(x₁, y₁) = (0, 2)

(x₂, y₂) = (3, 4)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [4 - 2] / [3 - 0]

               = 2 / 3

Thus, the slope of the line = m = 2/3

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 2

Thus, the y-intercept b = 2

now substituting m = 2/3 and b = 2 in the slope-intercept form

y = mx+b

y = 2/3x + 2

Therefore, the slope-intercept form of the equation of the line is:

y = 2/3x + 2

(5,3) reflected across the x axis and then across the y axis

Answers

Answer: (-5,-3)

Step-by-step explanation:

Answer:

X-axis:   (5, -3)

Y-axis:   (-5, 3)

Step-by-step explanation:

An investor purchased 100 shares of stock in a company for $1,500. One year later, the investor sold all the shares for $1,750. What is the investor's rate of return?​

Answers

Answer:

16 2/3%

Step-by-step explanation:

rate of return is the profit (1750 - 1500) over the original investment

250/1500 = .1666 or 16 2/3%

Answer:  .1666

Step-by-step explanation:

Tim saw that a pair of $200 dollar jeans had been marked down by 20%. He told his friend that if you took the new price of the jeans and increased that value by 20%, the jeans would return to the original price of $200. is he correct or no?

Answers

Hey there!

The answer is no, they would not return to the original price of $200.

This is because when you decrease 200 by 20%, you get 160. Then, if you increase 160 by 20%, you get 192. This is because 20% of 200 and 20% of 160 is different.

Hope this helps! Have a great day, and good luck on your assignment!

savings account
deposit: $800
rate: 6% per year
time: 2 years

Answers

Answer:

896

Step-by-step explanation:

1. find 12% (because the time is 2 years) of 800 (94)

2. 96 + 800 = 896

3. answer is 896

Write an equation for the line (y = mx + b)
Write a sentence explaining a real-life situation that this line could represent. (Make sure you use the word ascending in your sentence.)
How many meals would be packed in 20 hours?

Answers

Answer:

y = 125x2500 meal packs in 20 hours

Step-by-step explanation:

As per attached graph, there is proportional relationship with the formula:

y = 125x

We can easily find it using points (0, 0) and (2, 250)

m = 250/2 = 125

The situation would be:

Team of volunteers help to pack meals for charity. They can pack 125 meals in an hour. How many meals would be packed in 20 hours?

125*20 = 2500 meal packs

HELP , I’ll MArK bRAINLIESt

Answers

Answer:

you need to work on your capitalization.

Step-by-step explanation:

no offense.

Find the general solution of
dy/dx + 2y =6​

Answers

Answer:

ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C

Step-by-step explanation:

dy/dx + 2y = 6

This is a first order linear ODE.

p(x) = 2

Integrating factor: I(x) = e^(∫ 2 dx) = e^(2x)

e^(2x)(dy/dx + 2y) = 6e^(2x)

e^(2x) dy + 2ye^(2x) dx = 6e^(2x) dx

Integrate both sides of the equation.

ye^(2x) = 3e^(2x) + C

Thus, the general solution is ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C.

What’s 36 x 99? I don’t know, do you?

Answers

Answer:

3564

Step-by-step explanation:

calculator, dude.

Answer:

Its 3,464 *smh

If you had 99 barrels of oil, then multiplied it why 36, how much would u have?

Answer - 3,464

Find the measure of angle DEF

Answers

Answer:

31.8

Step-by-step explanation:

90-58.2=31.8

because the square in the middle means 90 degrees!

Answer:

<DEF= 31.8°

Step-by-step explanation:

Angle DEF is apart of a right angle which is 90°. The other angle, 58.2° is given and that plus DEF would equal 90°.

In an equation:  

< DEF +58.2=90

-58.2            -58.2

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

<DEF= 31.8°

CORRECT ANSWER GETS BRAINLEYY

Answers

Answer:

D

Step-by-step explanation:

[tex]w = x + \frac{y}{z}\\\\w-x = \frac{y}{z}\\\\(w - x)*z = y\\\\z = \frac{y}{w-x}[/tex]

What is the product?
4927 x 7

Answers

Answer:

34489

Step-by-step explanation:

Tina collects stuffed animals. She has 8 teddy bears, 9 dogs, 10 frogs, and 6 monkeys. What is the ratio of monkeys to teddy
bears?
A. 3:7
B. 3:4
O C. 8:6
O D. 7:4
Plssss help ASAP giving away lost of branlist

Answers

Answer:

it's c

Step-by-step explanation:

there are 8 bears and 6 monkeys!

hope this helps:)

Other Questions
Write a program that prints all possible dice rolls with two dice. To do so, you should use a nested for loop.Hint: You cant use i for both for loops.Heres what your program should print1,11,21,31,41,51,62,1......6,46,56,6 Read these lines from "Ozymandias." And wrinkled lip, and sneer of cold command, Tell that its sculptor well those passions read Which yet survive, stamped on these lifeless things, The hand that mocked them, and the heart that fed;How does the use of the word mocked in the last line affect the meaning of this text?It indicates that the sculptor was afraid of Ozymandias.It demonstrates that the sculptor was a relative of Ozymandias.It suggests that the sculptor felt contempt for Ozymandias.It shows that the sculptor highly respected Ozymandias. 2. Explain how giving the wrong dietary information on high blood sugar could potentially affect the patient. Based on what you learned about Alexander the Great, describe his personality and how it probably affected how he ruled his empire. A circular "No U-Turn" road sign has a diameter of 20 inches.Which measurement is closest to the area of the sign in square inches? Find what x equals 17 + 4x = -(5x + 1)(Explanation please) NEED HELP ASAP!!!!write an equation for the proportional relationship. Remember the equation for a proportional relationship is in the form y=kx Which explains why the Oklahoma City bombing is an act of domestic terrorism? It was a protest against the American governments policies in the Middle East.It was funded by al-Qaeda as a way to protest American involvement in the Middle East.It was the work of foreign governments that believed the US government was too powerful. It was carried out by Americans who thought the government was too powerful within the United States. people went to the movies, read books and listened to the radio 1.Surviving the Hard Times2. WPA-Works Progress Administration3.Franklin Roosevelt4.collective bargaining ***PLZZ HELP ASAP I HAVE NO IDEA AND A TIME LIMIT What are the intercepts for the equation? Select both the x- and y- intercept. 2x + y = 4 what does it mean to be sane to you are is sanity even a wordjust a question Which staging effect is used in the Utah Valley University production of TheTempest?A. Setting emphasizing natural beautyB. Character voices coming from offstageC. Magical wonderland-like toneD. Costumes from a recent historical period Someone hell me with my math plsss hello I need "help"for my friends, ima say a random question from my algebraA^2+b^2= what??? Please HELP NOW MULTIPLUE CHOICE Which ecosystem best matches the following description?Found in the wooded regions of the eastern United States, a wide variety of trees and shrubs flourish here. (5 points)AlpineDesertTundraDeciduous forest 1Think about what happens to Feld after Sobel quits. Summarize what went wrong in Feld's life after Sobel left.O Feld gets sick, Miriam and Max go on two bad dates, then Feld has a massive heart attack.O Miriam goes on two dates with Max, and Feld has a heart attack, but he won't let Miriam get in touch with Sobel.O Miriam and Max dislike each other, and Feld loses his new assistant, but Feld will not rehire Sobel.O Max and Miriam stop dating, Feld's new assistant steals from the shop, and Feld has a heart attack. Why do we refer to our Constitution as a "living document?" in document c: fred donner answers Mario me (decir) si viene a la reunin del club.