5. In one year, there were 125 major new automobile types available. If you look at the miles per gallon (MPG) for these vehicles, the distributions are roughly normal. The means and standard deviations are given by:

Mean Standard Deviation

City MPG 22.37 4.77

Highway MPG 29.09 5.46


a. The Honda Civic had a rating of 45 highway MPG. What is the probability that your car has a worse highway gas mileage than the Civic?



b. The Lincoln Continental had a rating of 17 city MPG. What percent of cars are likely to have a better city gas mileage than the Continental?

5. In One Year, There Were 125 Major New Automobile Types Available. If You Look At The Miles Per Gallon

Answers

Answer 1

Answer:

a. 0.0018 = 0.18% probability that your car has a worse highway gas mileage than the Civic

b. 89.06% of cars are likely to have a better city gas mileage than the Continental

Step-by-step explanation:

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.

a. The Honda Civic had a rating of 45 highway MPG. What is the probability that your car has a worse highway gas mileage than the Civic?

For Highway, we have that [tex]\mu = 29.09, \sigma = 5.46[/tex]

This probability is the pvalue of Z when X = 45. So

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

[tex]Z = \frac{45 - 29.09}{5.46}[/tex]

[tex]Z = 2.91[/tex]

[tex]Z = 2.91[/tex] has a pvalue of 0.9982

1 - 0.9982 = 0.0018

0.0018 = 0.18% probability that your car has a worse highway gas mileage than the Civic.

b. The Lincoln Continental had a rating of 17 city MPG. What percent of cars are likely to have a better city gas mileage than the Continental?

City means that [tex]\mu = 22.37, \sigma = 4.37[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 17. So

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

[tex]Z = \frac{17 - 22.37}{4.37}[/tex]

[tex]Z = -1.23[/tex]

[tex]Z = -1.23[/tex] has a pvalue of 0.1094

1 - 0.1094 = 0.8906

0.8906 = 89.06% of cars are likely to have a better city gas mileage than the Continental


Related Questions

PLSSSSSSSSSSS HELP OMGGGGGGGG​

Answers

Answer:

hi

have a good day for you

Find the lateral and surface area for the pyramid with a regular base. Where necessary, round to the nearest tenth.

Answers

Answer:

Lateral area -288. Surface area-96

Step-by-step explanation: teacher told me

A pelican has a wingspan of 8 wholes 1/5 feet.
An eagle has a wingspan of 6 wholes 2/3 feet.
How much longer is the wingspan
of a pelican?

Answers

Answer:

The wingspan of a pelican is 1 8/15 feet longer than the wingspan of an eagle.

(1 whole 8/15 feet)

Step-by-step explanation:

We'll need to find a common denominator for the fractions. 15 is the lowest number divisible by both 5 and 3, so we'll use 15. For this problem, it's also easier to convert to improper fractions, in my opinion.

Pelican:

8 1/5 = 41/5

41/5 x 3/3 = 123/15

Eagle:

6 2/3 = 20/3

(20/3) x (5/5) = 100/15

Find the difference:

123/15 - 100/15 = 23/15 = 1 8/15

Please let me know if you have questions.

What part of a
a dozen is 8?​

Answers

Answer:

8 Dozen eggs would mean, 8 X 12 = 96 eggs

Step-by-step explanation:

Answer:

[tex]\frac{2}{3}[/tex]

or

0.67

Step-by-step explanation:

a dozen is 12

12/4 = 3

8/4 = 2

8 is 2/3 of a dozen(12)

2/ 3 = 0.66666666666667 which is about 0.67

ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 140°, what is the
measure of ZQRS?
O
mZQRS = [?]
Enter

Answers

40° is your answer

Answer:

:

< ABC+<QRS=180

m<QRS=180-140=40°

solve the equation on the interval [0,2}. 5 cos x - root 3 = 3 cos x

Answers

Answer:

Step-by-step explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6

Answer:x=π/6,11π/6

Step-by-step explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6

fill in the blanks

[tex] {(x + 3)}^{2} - x - 3 = (x + 3) \times ............[/tex]
please answer my question I will mark you as brainliest and I will follow you ​

Answers

Answer:

Step-by-step explanation:

(x + 3)² - x - 3 = (x +3 )² - (x + 3)

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

                      = (x + 3) [ x + 3 - 1]

                      = (x + 3 (x + 2)

The length of the arc which subtends an angle 60° at
the centre of a circle of radius 3 cm is approximately​

Answers

Answer:

π cm

Step-by-step explanation:

The formula for arc length (s) as a function of radius (r) and central angle Ф (in radians) is s = rФ.

In this problem r = 3 cm and Ф = 60°, and so the arc length subtended is

s = (3 cm)(π/3) = π cm

What is the volume of the figure?

Answers

Answer:

47.12

Step-by-step explanation:

same as the last question

What is 48 divided by 613

Answers

Answer:

0.07830342577 is the correct answer.

Step-by-step explanation:

Hope this helped Mark BRAINLIEST!!!

Answer:

0.07830343

Step-by-step explanation:

Amy buys 22 envelopes for 13p each and pays with a £5 note.
How much change does she get?
Give your answer in pounds, £.​

Answers

hi there lol have a great day

Can somebody please help me with this question?

Answers

To find how many degrees a polygon's angles add up to, use the formula (n - 2) · 180, where n = the number of angles. So, since this polygon has 5 angles (it's a pentagon)

(5-2) · 180 = 3 · 180 = 540.

Now, all we have to do is add up all of the angles:

75 + 126 + 126 + 81 + c = 540

c = 132

Please please help please

Answers

Answer:

3 times larger

Step-by-step explanation:

I'm not a hundred percent sure but I'm pretty sure it is.

hope this helped ;)

URGENT PLZ HELP!!!!!

Answers

Answer:

30% man this easy

Step-by-step explanation:

PLS GIMME BRAINLIEST PLS

What is 5 3/4 -1 5/12= ?

Answers

Answer:

4.33333333333 or 4 and 1/3

Step-by-step explanation:

Answer:

4 1/3

Step-by-step explanation:

1) Convert 5 3/4 to improper fraction.

2) Simplify 5x4 to 20.

3) Simplify 20+3 to 23.

4) Convert 1 5/12 to an improper fraction.

5) Simplify 1x12 to 12.

6) Simplify 12+5 to 17.

7) Find the least common denominator of 23/4 & 17/12.

8) Make the denominators the same.

9) Join the denominators.

10) Simplify 52/12 ( 4 1/3 )

Hope this helped!

​  

.

greater than or less than

Answers

Answer:

for what ? put your question completely

11 divided by 3 2/3 with step by step explination

Answers

Answer:

3

Step-by-step explanation:

11/1 divided by 11/3

keep change flip to get:

11/1 x 3/11

and multiply to get:

33/11

Simplify to get:

3/1 or 3

Answer:

3

Step-by-step explanation:

step one is to make the fraction into a unbalanced fraction

step two is to make it a proper fraction by switching the values (I am talking about 2 2/3s so you know)

Then remove the greatest common factor, so 11, and only three remains

The sum of 9 and a number is less than 12. Which of the following inequalities expresses the solutions ?

Answers

The answer is 2 cause If you subtract 12 from 9 you’ll get 2.

Find the mean absolute deviation (MAD) of the data in the pictograph below.

Answers

Answer:

its 1

Step-by-step explanation:

Evaluate r^2−s^2, when r=12 and s=5.

Answers

Step-by-step explanation:

Given r = 12, s = 5,

[tex] {r}^{2} - {s}^{2} = {12}^{2} - {5}^{2} \\ = 144 - 25 \\ = 119[/tex]

A car salesperson sells cars at prices ranging from $5,000 to $45,000. The histogram shows the distribution of the numbers of cars he expects to sell over the next 10 years.



The median car price is
. The distribution exhibits
.

Answers

Answer:

B. $25000

C. Symmetry

Step-by-step explanation:

Hope this helps

Name the marked angle in 2 different ways.

Answers

Answer:

PQR and RQP

Step-by-step explanation:

We name the angle by providing 3 points - the middle point needs to be the tip of the angle, the other two should lie on the sides. The order of the sides doesn't matter (unless we define it to), so both PQR and RQP are valid names for this angle.

Step-by-step explanation:

This question is very straightforward.

Angle names always has a format: angle aBc

, where the middle letter is always the angle you want to use or find the value of.

Therefore in this case, you can name the angle , as angle RQP or angle PQR.

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:

0.00000405 in scientific notation

Answers

Answer: 4.5 x 10^-6

Answer:

4.05*10^-6

Step-by-step explanation:

To do this by hand, you need to understand the rules of scientific notation.

Show all work to factor x4 − 10x2 + 9 completely.

Answers

Answer:

(x+3)(x-3)(x+1)(x-1)

Proof:https://www.symbolab.com/solver/step-by-step/x%5E%7B4%7D-10x%5E%7B2%7D%2B9

A rectangular prism has a length of 5 centimeters, a height of 6 centimeters, and a width of 9 centimeters. What is its volume, in cubic centimeters?

Answers

Answer:

270 cubic centimeters

Step-by-step explanation:

To find the volume you multiply the lenght times width times hight. So 5x6 is 30. 30x9=270

What fraction is < 3/4 with a denominator of 8

Answers

Answer:

6/8

Step-by-step explanation:

3/4 is equal to 6/8

Someone please helppppp

Answers

Answer:

the correct answer is b) 4

Inequality question PLEASE HELP

Answers

Answer:

40x4x<60

x<5

Step-by-step explanation:

40x4x<60

4x<60-40

4x<20

x<20÷4

x<5

o put on Your Thinking Cap!
$ Challenging Practice
1.
Michelle got an average score of 80 on two tests. What score must
she get on the third test so that her average score for the three tests
is the same as the average score for the first two tests?

Answers

Answer:

Michelle must get an 80 on her next test to keep her average score.

Step-by-step explanation:

Since Michelle got an average score of 80 on two tests, to determine what score she must get on the third test so that her average score for the three tests is the same as the average score for the first two tests, the following calculation must be performed:

X / 2 = 80

X = 80 x 2

X = 160

X x 3 = 80 x 3

X x 3 = 240

X = 240/3

x = 80

So, Michelle must get an 80 on her next test to keep her average score.

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