The average fuel efficiency of U.S. light vehicles (cars, SUVs, minivans, vans, and light trucks) for 2005 was 21 mpg. If the standard deviation of the population was 2.9 and the gas ratings were normally distributed, what is the probability that the mean mpg for a random sample of 25 light vehicles is Under 20

Answers

Answer 1

Answer:

0.042341

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ/n, where

x is the raw score = 20 mpg

μ is the population mean = 21 mpg

σ is the population standard deviation = 2.9

n = random number of samples

Hence:

For x < 20

= z = 20 - 21/2.9/√25

= z = -1/2.9/5

= z = -1.72414

P-value from Z-Table:

P(x<20) = 0.042341

The probability that the mean mpg for a random sample of 25 light vehicles is Under 20 mpg is 0.042341

Answer 2

The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341

Calculation:

Here we used z score formula

z = (x-μ)/σ/n, wherex is the raw score = 20 mpgμ is the population mean = 21 mpgσ is the population standard deviation = 2.9n = random number of samples

So,

For x < 20

= z = 20 - 21/2.9/√25

= z = -1/2.9/5

= z = -1.72414

Now

P-value from Z-Table:

P(x<20) = 0.042341

Learn more about the probability here: https://brainly.com/question/795909?referrer=searchResults


Related Questions

What is the solution of the equation? square root b - 17 + square root b = 1?

Answers

Answer: no solution hope this helps

Answer:

D. No solution

Step-by-step explanation:

correct on edg unit test review, hope that helped!

There were 27 boxes of tea in the tea house. Each box weighed 18 kg. After selling 12 boxes, the shopkeeper packed the remaining tea into bags of 9 kg each. How many bags of tea can be packed?

Answers

Answer:

30 boxes of tea

Step-by-step explanation:

27 (overall tea boxes) - 12 (boxes sold) = 15

15 (leftover boxes) x 18 (kg of each box) = 270

270 (overall kg of the boxes) divided by 9 (kg of the bags) = 30, so all the tea boxes can be placed into the bags

Which of the following is not a correct statement about
the pie chart?
More students have hazel eyes than blue.
Most of the students in the class have brown eyes.
More students in the class have blue eyes than
hazel.
O The fewest number of students have gray eyes.

Answers

Answer:

More students have hazel eyes than blue.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve the equation + 6 = 2.
Question 13 options:

A)

No Solution

B)

a = 13

C)

a = 7

D)

a = 61
Question 14 (5 points)
Solve the equation 10 + y√
y
= 14

Question 14 options:

A)

y = 576

B)

y = 4

C)

y = 16

D)

y = 2

Answers

The answer is a=7 because you have to do 7-6 which equals to 2 which a=7 is the right answer

What is the value of the expression 9 + ( fraction 1 over 2 )4 ⋅ 48?

Answers

Answer:

105

Step-by-step explanation:

9 + (1/2)4 x 48

9 + 96 = 105

Answer:

105

Step-by-step explanation:

SO, based on the way you worded it, the equation is

[tex]9 + 1/2 *4*48[/tex]

You multiply [tex]1/2 * 4[/tex] first.

This gives you 2.  [tex]2*48=96[/tex]

96 + 9 =105

Hello? STOP RIGHT THERE.... Please help me with this.

Answers

Answer: THE ANSWER IS 2 :)

Step-by-step explanation:

3(q+2)  Do distributive property

3q=6 Divide 3q to both side

3q = 3q

q= 2       This is the answer

List all the factor pairs for 48. make a table to help and add the table.

Answers

Answer:

The factor pairs of the number 48 are: 1 x 48, 2 x 24, 3 x 16, 4 x 12, and 6 x 8

Step-by-step explanation:

For questions 1 – 6, find the area of the circle to the nearest hundredth.
Any help appriciated!

Answers

Step-by-step explanation:

The area of a circle is given by :

A = πr²

r is the radius of the circle

(4) Diameter = 22 cm

Since, radius = diameter/2

r = 11 cm

Now, area of the circle,

[tex]A=\pi \times (11)^2\\\\A=380.13\ cm^2[/tex]

(5) Diameter = 30 cm

Since, radius = diameter/2

r = 15 cm

Now, area of the circle,

[tex]A=\pi \times (15)^2\\\\A=706.85\ cm^2[/tex]

(6) Diameter = 4cm

Since, radius = diameter/2

r = 2 cm

Now, area of the circle,

[tex]A=\pi \times (2)^2\\\\A=12.56\ cm^2[/tex]

So, the area of circles 4,5 and 6 are 380.13², 706.85² and 12.56² respectively.

HELP PLEASE PLEASE!!!

Answers

x=64Step-by-step explanation:

In a basketball game Jamarcus made 15 out of 25 shots and tyrell made 32 out of 50 shots who’s the better shooter

Answers

Answer:

Jamarcus is the better shooter

Step-by-step explanation:

Jamarcus is better because he needs 10 more shots to reach 25 while tyrell needs 18 More shots to make 50

Answer:

Tyrell

Step-by-step explanation

Well this is simple you take Jamarcus shots made and divide it into the total shots which is 15/25=0.6 or 60%. So Jamarcus made 60% of the shots attempted. Tyrell made 32 out of 50 shots so that will be 32/50=0.64 or 64%. Since 64%>60% Tyrell is the better shooter

please answer asap no trolls!

Answers

Answer:

Yes.

Step-by-step explanation:

3.5 + 5.5 > 7.8

If the weight of a package is multiplied by 7/10 the result is 21 pounds. Find the weight of the package.

Answers

Answer:

30 pounds

Step-by-step explanation:

take the 21 pounds and divide it by 0.7

Answer:

30

Step-by-step explanation:

[tex]21 / 0.7=30[/tex]

Check

30 x 0.7 = 21

jun uses a 20%-off coupon to by the ingredents for congee. she spends $40. what is the regular price r of the ingredeints before the discount

Answers

Answer:

$50

Step-by-step explanation:

Make the equation where x is the original price:

x - 0.2x = 40

Combine like terms

0.8x = 40

Divide both sides by 0.8

40/0.8 = 50

If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
I can’t find it

Answers

Answer:

[tex](f-g)(x)=2x-3[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=3x-1\text{ and } g(x)=x+2[/tex]

And we want to find:

[tex](f-g)(x)[/tex]

This is equivalent to:

[tex]=f(x)-g(x)[/tex]

By substitution:

[tex]=(3x-1)-(x+2)[/tex]

Simplify. Distribute:

[tex]=(3x-1)+(-x-2)[/tex]

Rearrange:

[tex]=(3x-x)+(-1-2)[/tex]

Therefore:

[tex](f-g)(x)=2x-3[/tex]

4/x = 2/7 please help ASAP!!

Answers

Answer:

use cross multiplication to solve

4*7 = 2*x (multiply)

28 = 2x (divide both sides by 2 to isolate x )

x = 14 (your answer)

Step-by-step explanation:

I hope this helped :)

Answer:

Step-by-step explanation:

Or,2×x=7×4

Or,2x=28

Or,x=14

Solve for “z.”

Please help!

Answers

Answer: Z=5

Step-by-step explanation:

Solve the rational equation by combining expression and isolating the variable z

The price of an item has been reduced by 15%. The original price was  $87.​

Answers

Answer:

The new cost is $73.95

The discount was $13. 05

Step-by-step explanation:

Turn the % into a decimal so it would be 0.15.

Then multiply it to the total, 87 x 0.15 = 13. 05

so the discount subtracted $13.05 off of the original price.

87 - 13. 05 = 73.95

Which data sets have outliers? Check all that apply
14,21,24,25,27,32,35
15,30,35,41,44,50,78
16,32,38,39,41,42,58
17,23,28,31,39,45,75
18,30,34,38,43,45,68

Answers

Answer:

C.16, 32, 38, 39, 41, 42, 58

and

E.18, 30, 34, 38, 43, 45, 68

its C. & E.

they both have outliers lol

A figure has been dilated from the origin by a scale factor of one seventh. if another dilation from the origin maps the dilated image back
onto the original figure, what is its scale factor?

Answers

Answer:

its scale factor is 3

Step-by-step explanation:

plz mark brainliest

To map the dilated image back  onto the original figure, the scale factor needed is 7.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease in the size of a figure by a factor.

If a figure is dilated from the origin by a scale factor of one seventh, it is given by:

(x, y) ⇒ [(1/7)x, (1/7)y]

To map the dilated image back  onto the original figure, the scale factor needed is 7. Hence:

[(1/7)x, (1/7)y] ⇒ (x, y)

Find out more at: https://brainly.com/question/11707700

please answer asap correctly dont troll!!!

Answers

Answer:

10

Step-by-step explanation:

Bro, again the same question))

a>17-8

a>9

I GIVEEE BVRAINLILSDTTTTTTTT

Answers

Answer:

c=10,3

D=0,3

E=0,6

F=10,6

pls give brainliest

Answer:

ghtfgngngnfgjyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Step-by-step explanation:

ngfngfnfgnfgnfg

Thomas ram from the start line to go post and back the distance from the start line to the goalpost is 46 meters how far did Thomas run

Answers

Answer:

92m!

Step-by-step explanation:

46 times 46 is 92

please give me brainliest!!!<3

the probability of getting less than 3 in a single throw of a dice is​

Answers

Answer:

There are two numbers {1,2} which is less than 3. so, required probability P(E) = 2/6 = 1/3.

Step-by-step explanation:

hope this helps

A pizzeria charges $2 per slice of pizza, plus an additional $0.75 per topping. If
Erica has at most $12.50 to spend on her pizza, how
many toppings could she get
on ONE slice of pizza? Write an inequality expression that represents the
situation and solve! Explain your reasoning (no work, no points)! You can
copy/paste the following symbols as needed: 2s<>
Your answer

Answers

Answer:

Maximum amount of toppings is 14 inequality is t <=14

Step-by-step explanation:

let t be the amount of toppings on the pizza

0.75t + 2 <= 12.50

0.75t <= 10.50

t <= 14

it would be 14. 2 minus 12.50 is 10.50 which divided by .75 is 14

Cindy types 180 words in 2 minutes
Enter the number of words Cindy types in 5 minutes at this rate.

Answers

She types in 450 words in 5 minutes
180/2=90
90*5=450

Percy bought an encyclopedia pried at $13.85 shipping and handing cost an additional 20 percent of the price

Answers

Answer:

Percy spent $2.77 for shipping and handling.

Step-by-step explanation:

2.77 is 20 percent of 13.85

I need help with this Geometry question

Answers

Answer: A) 6 in^2

First, you need to find the length of the base.

a = 3, b = ?, c= 5

Using Pythagorean Theorem*: a^2 + b^2 = c^2

b^2 = c^2 - a^2

b^2 = 5^2 - 3^2

b^2 = 25 - 9

b^2 = 16 (square root both sides)

b = 4

Now, you have to find the area using the area of a triangle formula: A = (bh)/2

A = (bh)/2

A = (4·3)/2

A = 12/2

A = 6 in^2

Pythagorean Theorem is used for this question since it's a right triangle.

Answer: A) 6in^2

Step-by-step explanation:

base = 4 in

height = 3 in (pythagorean theorem)

A = (bxh)/2 = (4x3)/2 = 12/2 = 6 in^2

Andre purchased 1 quart of lemonade
from a concession stand for $1.50.
Which shows the rate for 6 quarts of
lemonade?

Answers

Answer:

7

Step-by-step explanation:

Steph needs to help her parents put a fence around their pool. They want the fence to be square and want each side to measure 6 meters. They already have 10 meters of fencing. How many more meters of fencing should they buy?

Answers

Answer:

14 more meters

Step-by-step explanation:

6 times square (4) = 24

24-10 = 14

Tyrone walked 8 miles in a walkathon at a speed of 2 miles per hour. How long was he walking?
4 hours
6 hours
10 hours
16 hours

Answers

Answer:

4 hours

Step-by-step explanation:

Answer:

the answer is 4 HOURS

Step-by-step explanation:

i took the exam

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