1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergiy2304 [10]
3 years ago
9

In its Fuel Economy Guide for 2016 model vehicles, the Environmental Protection Agency gives data on 1170 vehicles. There are a

number of high outliers, mainly hybrid gas‑electric vehicles. If we ignore the vehicles identified as outliers, however, the combined city and highway gas mileage of the other 1146 vehicles is approximately Normal with mean 23.0 miles per gallon (mpg) and standard deviation 4.9 mpg.
The quartiles of any distribution are the values with cumulative proportions 0.25 and 0.75. They span the middle half of the distribution.
a. What is the first quartile of the distribution of gas mileage?
b. What is the third quartile of the distribution of gas mileage?
Mathematics
1 answer:
Nady [450]3 years ago
5 0

Answer:

a. 19.68 miles per gallon.

b. 26.32 miles per gallon.

Step-by-step explanation:

Mean gas mileage (μ) = 23.0 mpg

Standard deviation (σ) = 4.9 mpg

In a normal distribution, for any length X, the z-score is determined by the following expression:

 z=\frac{X-\mu}{\sigma}

In a normal distribution, the 25th percentile  (first quartile) of a normal distribution has a corresponding z-score of z = -0.677 and the 75th percentile  has a corresponding z-score of z = 0.677

a. The first quartile of the distribution of gas mileage is

-0.677=\frac{X_{25}-23}{4.9}\\X_{25}=19.68\ mpg

19.68 miles per gallon.

b. The third quartile of the distribution of gas mileage is

0.677=\frac{X_{25}-23}{4.9}\\X_{25}=26.32\ mpg

26.32 miles per gallon.

You might be interested in
Which relation is a function of x?
Yakvenalex [24]

Answer: Option 4

Step-by-step explanation:

Each value of x maps onto only one value of y.

8 0
2 years ago
What is the value of the expression 2^2+4^2 divided by 2^2
N76 [4]

Use PEMDAS:

Parentheses

Exponents

Multiply and Divide from left to right.

Add and Subtract from left to right.

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

Evaluate the exponents.

2^2+4^2/2^2

Divide from left to right.

4 + 16/4

Add from left to right.

4 + 4

Solution.

8

5 0
3 years ago
A fashion designer makes and sells hats. The material for each hat cost $5.50. The Hats sell for $12.50 each. The designer spend
labwork [276]

The designer must sell 200 hats for breaking even.

Step-by-step explanation:

Given,

Cost for material for each hat = $5.50

Selling price of each hat = $12.50

Cost spend on advertising = $1400

Let,

x represents the number of hats.

Revenue = 12.50x

Costs = 5.50x+1400

For breaking even,

Revenue = Cost

12.50x=5.50x+1400\\12.50x-5.50x=1400\\7x=1400

Dividing both sides by 7

\frac{7x}{7}=\frac{1400}{7}\\x=200

The designer must sell 200 hats for breaking even.

Keywords: addition, division

Learn more about division at:

  • brainly.com/question/916181
  • brainly.com/question/9136949

#LearnwithBrainly

7 0
3 years ago
Can anyone help me evaluate this f(x)=8+4x the functions are 0 and -2.
Fynjy0 [20]

Answer: f(0)=8

f(-2)=0

Step-by-step explanation:

f(0)=8+4(0)

f(0)=8+0

f(0)=8

f(-2)=8+4(-2)

f(-2)=8+(-8)

f(-2)=8-8

f(-2)=0

3 0
1 year ago
Tourists from a tour bus were asked about places they visited during their stay in a city. The results are shown in the table.
nlexa [21]
<span>Given:

                             visited museum           didn't visit museum      Total

visited zoo                      9                                     14                           23

didn't visit zoo               5                                        2                              7

Total                             14                                     16                           30

Simply look at the table and check the number that corresponds to visitors who visited the museum but did not visit the zoo. The number is 5. 
Divide it by the total number of people surveyed. Total is 30.

Probability visited the museum but did not visit the zoo = 5/30 = 0.16666 or 16.67%</span>
7 0
3 years ago
Other questions:
  • In this triangle cos a / cos b =
    10·2 answers
  • What is 2 and 2/3 plus 8 and 4/9 ?
    14·2 answers
  • Using a spectrometer, a sample was analyzed to have a percent transmittance of 85%. what percentage of light was actually absorb
    5·1 answer
  • Solve<br> x+(x+1)+(x+2)=168
    10·2 answers
  • PLEASE HELP ME ON THIS<br><br>QUICKLY!!!!!!!!!!!!!!!!!<br><br>~BRAINLIEST AVAILABLE
    8·1 answer
  • Solve for x.<br> (x + 10)°<br> (4x - 35)°
    8·1 answer
  • You usually buy a 16.5 16.5 -ounce bottle of shampoo. There is a new bottle that says it gives you 30% 30 % more free. Use the d
    9·2 answers
  • Which figures are reflections of Figure A?
    6·2 answers
  • Please help.........
    10·1 answer
  • Help me plss look at the screenshot
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!