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

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Related Questions

solve for brain list asap​

Answers

Answer:

i believe the answer to this x=8

PLEASEEEE I WWILLL GIVE BRAINLEIST 6b. In Renton the sales tax is 9%. What is the total cost including tax on a $20 purchase?

Answers

I think that the answer is $21.80
Hope it helps!:)

Paul has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of salt does Paul have?

Answers

Answer:

2 tablespoons of salt

Step-by-step explanation:

If 3 teaspoons are equal to 1 tablepoon, we can divide the 6 tablespoons by 3 to get our answer of 2 tablespoons.

(sorry if this is confusing but I hope it helped)

Write the expression
into words.
6 + x


plz help

Answers

Answer:

six plus x.

Step-by-step explanation:

6 divided by 3 1/3?
1 20
2 1 4/5
3 2

Answers

Answer:

1 4/5

Step-by-step explanation:

14/5

Step-by-step explanation

the sum of 1 1/3 and 5/6

Answers

Answer:

2 1/6

Hope this helps!

Answer:

the right answer is 9/2

Step-by-step explanation:

thanks

Give one example of "over 10,000 in credit card debt." Then, write a rational number that represents your example

Answers

Oh yeah I know it’s ok I didn’t know

Need help please ???????

Answers

Answer:

5pm

Step-by-step explanation:

5 x 4= 20 miles

4 x 5= 20 miles

What fraction is shown on the number line?

Answers

the answer should be 7/10!

Answer:

7/10

Step-by-step explanation:

A bag contains 4 white tiles and 8 black tiles. You select one tile at random from the bag. What is the probability that you select a black tile?

Answers

Answer:

p( black) = 2/3

Step-by-step explanation:

4 white + 8 black = 12 tiles

P ( black) = number of black / total

                = 8 /12

                 = 2/3

Which graph shows the system of equations


{2x+3y=5 4x−5y=−1

Answers

The graph of equation is in image.

What are linear equations?

When a linear equation is graphed, it always results in a straight line because each term has an exponent of 1. This is why it is referred to as a "linear equation."

There are linear equations with one and two variables, respectively.

Given equations 2x + 3y = 5

4x - 5y = -1

for equation 1

2x + 3y = 5

x    1     -2    4

y    1      3    -1

coordinates for equation 2

4x - 5y = -1

x    1     2    -4

y    1     1.8   -3

and the intersection point of equation is (1, 1)

Hence the graph of equation is intersecting at (1, 1).

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The equation for line g can be written as y = x + 5. Parallel to line g is line h, which passes through the point (-6, -4). What is the equation of line h? SHOW WORK PLEASE​

Answers

Answer:

y=x+2

Step-by-step explanation:

y=mx+b, m=1, x=-6, y=-4

-4=(1)(-6)+b

-4=-6+b

2=b

y=x+2

Which expression is equivalent to 4(7 + 8)?
A 11+8
B 11 + 12
C 28 + 12
D 28 + 32

Answers

Answer:

D

Step-by-step explanation:

it is d because 28 and 32 =60 like your expression

Circle geometry please help,

Answers

Answer:

7. Inscribed angle

Step-by-step explanation:

7. Inscribed angle

8.

y° = 70°

z° = 140°

8. y° and 70° are the measures of the angles subtended in the same arc. So, they would be equal.

Therefore, y° = 70°

Measure of central angle is two times the measure of the inscribed angle.

Therefore,

z° = 2* 70° = 140°

Which pair of expressions is equivalent? ОА. A. 4x – 12 and 3(x – 3) B. 2(x + 3) + 1 and 2x + 6 C. 11x – 4 + 2x and 13x – 4 D. X-5 – 10x and -11% - 5​

Answers

Answer:

[tex]11x - 4 + 2x[/tex] and [tex]13x - 4[/tex]

Step-by-step explanation:

Given

Options A to D

Required

Determine the equivalent pair

To do this, we solve each options one after the other.

[tex](a):\[/tex]

[tex]4x - 12[/tex] and [tex]3(x - 3)[/tex]

Open bracket

[tex]4x - 12[/tex] and [tex]3 * x - 3 * 3[/tex]

[tex]4x - 12[/tex] and [tex]3x - 9[/tex]

The above pairs are not equivalent

[tex](b):\[/tex]

[tex]2(x + 3) + 1[/tex] and [tex]2x + 6[/tex]

Open bracket

[tex]2x + 2*3 + 1[/tex] and [tex]2x + 6[/tex]

[tex]2x + 6 + 1[/tex] and [tex]2x + 6[/tex]

[tex]2x + 7[/tex] and [tex]2x + 6[/tex]

The above pairs are not equivalent

[tex](c):[/tex]

[tex]11x - 4 + 2x[/tex] and [tex]13x - 4[/tex]

Collect Like Terms

[tex]11x + 2x - 4[/tex] and [tex]13 - x[/tex]

[tex]13x - 4[/tex] and [tex]13 - x[/tex]

The above pairs are equivalent

helppppp kkkasnnansnejsjs

Answers

Answer: “6b”

Step-by-step explanation:

Expression:
3b+6

I hope this helps mate

The value of coin a is triple the value of coin b.together the total value of thebtwo coins is $48.00. What is the value of each coin

Answers

If A is 1/3 of B then A = 1/4 the sum of A and B. 1/4 times 48 = 12

Coin A = $12
Coin B = $48 - $12 = $36

Joshua had a poster he wanted to enlarge. The original poster had a length of 12 inches and a width of 8 inches. The enlarged poster had a width of 24 inches. The length of the enlarged poster is
in.

Answers

The length would be 36
12 times 3=36
8 times 3=24
Otherwise it would be 27

If the simple interest on ​$7000 for 5 years is ​$​2800, then what is the interest​ rate?

Answers

Answer:

R%= P × T /SI

r = $7000×5 /$2800

r= 12.5%

plzz thnx my answer..

PLEASE HELP ME I NEED HELP PLEASE HELP
PLEASE GIVE THE ANSWER UNDER THE QUESTION AND RATIO

Answers

Answer:

6. 225 feet in 3 minutes = 75 feet in 1 minute (slower)

   360 feet in 5 minutes = 72 feet in 1 minute

7. $4 for 5 ounces = $0.80 for 1 ounce (most expensive)

   $14 for 20 ounces = $0.70 for 1 ounce

8. 72 people in 6 hours = 12 people in 1 hour

    117 people in 9 hours = 13 people in 1 hour (greater rate per hour)

Answer:

A = 369 feet in 5 minutes B = $4 for 5 ounces C = 117 people in 9 hours

find the length of side VW

Answers

Answer:

46 units.

Step-by-step explanation:

To find the perimeter, you need to add up all the sides. Knowing this, we can set up an equation to solve for y.

2(5y + 1) + 2(4y + 3) = 170

10y + 2 + 8y + 6 = 170

18y + 8 = 170

18y = 162

y = 9

Now that we know y = 9, we can solve for vw.

vw = 5(9) + 1

vw = 45 + 1

vw = 46

Therefore, line vw is 46 units.

Answer: VW=11

4y+3=5y+1

2=y

5(2)+1

11

What percentage of the shape is purple?
Write your answer using a percent sign (%).

Answers

First, we see a rectangle shape with little squares in it. The length is 5 and the width is 4. If we multiply them, we get 20 square units. However, we will use the 20 to solve the question. Also, we see that there are only 3 squares.

3/20

Let's divide the fraction. 3 / 20 is 0.15. We result with 0.15. Now, we multiply  the decimal by 100 to get a percent; we are converting from decimal to percent. As a result, we get 15% as our answer.

3/20 = 0.15 x 100 = 15%

slope of and a ​y​-intercept of :−56

Answers

Answer:

Step-by-step explanation:

your questions may have left out what the slope is.. but.. what ever it is.. just use m =  ( your number )

and plug it into this slope-intercept formula  [ y = mx +b }

y = mx -56 ..  just plug your slope into the variable m

what happens to the Y

11= 2y + 5

Answers

If you’re trying to solve for y.
y = 3
Answer:[tex]\boxed{y=3}[/tex]Solution Steps:

______________________________

1.) Subtract 5 from both sides:[tex]5-5=[/tex] Cancels Out[tex]11-5=6[/tex]2.) Divide both sides by 2:[tex]2y[/tex] ÷ [tex]2=y[/tex][tex]6[/tex] ÷ [tex]2=3[/tex]

______________________________

Rita is a nurse her regular rate is $14.62 per hour. She is paid double-time (two times the hourly rate) for holidays. During one week she worked 36 regular hours plus 8 holiday hours.

Answers

she will make $58.62 dollars

The amount of money when she worked one week she worked 36 regular hours plus 8 holiday hours will be $760.24.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Rita is a nurse her regular rate is $14.62 per hour. She is paid double-time (two times the hourly rate) for holidays.

Then the amount of money when she worked one week she worked 36 regular hours plus 8 holiday hours will be

⇒ $14.62 x 36 + $14.62 x 2 x 8

⇒ $526.32 + $233.92

⇒ $760.24

The amount of money when she worked one week she worked 36 regular hours plus 8 holiday hours will be $760.24.

More about the Algebra link is given below.

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In the equation 30x = 21, x = 9

A. True
B. False

Answers

Step-by-step explanation:

30x=21

x=21/30

x=7/3

x=0.7

so, its false

hope it may help you

PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve the equation
9(k - 2) = -6
what is k?

Answers

Answer:

k= 4/3

Step-by-step explanation:

distribute 9     9k- 18=-6

add 18 to both sides  9k= 12

divide by 9

The value of k is 4/3 or 1.334.

What is Equation?

A statement that supports the equality of two expressions that are connected by the equals sign "=" is an equation.

An equation is a condition on a variable in algebra. It only holds true for a specific value of the variable.

Polynomial equations and linear equations are two prominent families of equations that algebra takes into account.

Given equation

9(k - 2) = -6

9k - 18 = -6

add 18 both sides

9k - 18 + 18 = -6 + 18

9k = 12

k = 12/9 =4/3 = 1.334

Hence the value of k is 4/3 or 1.334.

Learn more about equation;

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Which equation has no solution?
A.
4x - 9 = - 9
B.
x + 3x = 8x - 4x
C.
2x + 4 = 2x + 6
D.
3x + 2 = 17

Answers

C. 2x + 4 = 2x + 6 is the correct answer. It has no solution.

A rectangular prism shaped book has a base area of square inches and a height of inch. What is the volume of the book?

Answers

Answer:

See Explanation

Step-by-step explanation:

The question has missing details, as the base area and height of the prism is not given.

To solve further, I'll assume that:

[tex]Base\ Area = 12\ in^2[/tex]

and

[tex]Height = 5in[/tex]

Using the above parameters, as point of reference.

The volume is:

[tex]Volume = Base\ Area * Height[/tex]

[tex]Volume = 12\ in^2 * 5\ in[/tex]

[tex]Volume = 60\ in^3[/tex]

2,341 ÷ 68
A.32 r 42
B.34 r 29
C.34 r 42
D.32 r 29

Answers

B. 34 r 29 .. that’s the answer
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