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
topjm [15]
3 years ago
5

The correlation between a car’s engine size and its fuel economy (in mpg) is r = - 0.774.

Mathematics
1 answer:
fgiga [73]3 years ago
5 0

Answer: 59.91%.

Step-by-step explanation:

  • We know that the fraction of the variability in data values accounted by a model is given by r^2 , where r is the coefficient of correlation.

We are given , that the correlation between a car’s engine size and its fuel economy (in mpg) is r = - 0.774.

Then, the fraction of the variability in fuel economy is accounted for by the engine size would be r^2=( - 0.774)^2=0.599076\approx59.91\%

[Multiply 100 to convert a decimal into percent]

Hence, the fraction of the variability in fuel economy is accounted for by the engine size is 59.91%.

None of the options are correct.

You might be interested in
The sum of the angles of a triangle is 180°. If one angle of a triangle measures x and the second angle measures (5x +19)º
lapo4ka [179]

Answer:

third angle = (-6x + 161)°

Step-by-step explanation:

180° = (x)° + (5x + 19)° + third angle →

180° = (6x + 19)° + third angle →

180° – (6x + 19)° = (6x + 19)° + third angle – (6x + 19)° →

180° – (6x + 19)° = third angle →

180° + -(6x + 19)° = third angle →

180° + (-6x)° + (-19)° = third angle

180° – 6x° – 19° = third angle

(180° – 19°) – 6x° = third angle

161° – 6x° = third angle

third angle = 161 – 6x°

third angle = -6x° + 161°

third angle = (-6x + 161)°

8 0
3 years ago
in a random sample of 28 people, the mean commute time to work was 31.2 minutes and the standard deviation was 7.3 minutes. assu
antoniya [11.8K]

Answer:

The margin of error of u is of 3.8.

The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 28 - 1 = 27

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.7707

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.7707\frac{7.3}{\sqrt{28}} = 3.8

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error of u is of 3.8.

The lower end of the interval is the sample mean subtracted by M. So it is 31.2 - 3.8 = 27.4 minutes

The upper end of the interval is the sample mean added to M. So it is 31.2 + 3.8 = 35 minutes

The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.

3 0
3 years ago
Simplify (5^0+4^-0•5)^2​
TEA [102]

Answer:

anything raised to the power of zero= 1

(1+1/4^½)²

(1 + 1/2)²

(3/2)²

9/4

=2.25

7 0
2 years ago
Evens Only| Pls Help And Explain (NEED HELP ASAP) 100 Points + Brainist
kramer
Which question do you need
8 0
3 years ago
Read 2 more answers
Using the digits 1, 2, 3, 4, 5, 6, 7, and 9, make 4 two-digit prime numbers. What is the sum of those four prime numbers?
mr_godi [17]

Answer:

13, 17, 19, and 23

Step-by-step explanation:

13+17+19+23=72

3 0
3 years ago
Other questions:
  • sandy has 16 roses 8 daisies and 32 tulips she wants to arrange all the flaowers in bouquets each bouquet has the same number of
    12·2 answers
  • A medical team sent surveys to randomly selected households to determine the various health problems. The result of the survey i
    10·2 answers
  • in August Emily's clothing store sold 460 shirts with the ratio of short sleeve to long sleeve being 3:7 how many short sleeve s
    10·1 answer
  • The cost varies directly with the number of tickets purchased. It costs $145 for 10 people to attend a concert.
    14·1 answer
  • What is 1/2+1/3+1/6+1/2+1/8+1/4
    6·2 answers
  • Find the matrix A of the linear transformation T(f(t))= 4f'(t)+6f(t) from P2 T0 P2 with respect to the standard basis of P2 {1,t
    7·1 answer
  • 4) Which ordered pair is a solution to the linear<br> inequality below?<br> y 2 - 2x + 7
    10·1 answer
  • PLEASE HELP!
    10·1 answer
  • Write the following using algebraic notation, using the letter x for any unknown numbers:
    13·1 answer
  • Happy new year. eeeeeeeee e ​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!