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
diamong [38]
3 years ago
6

The gas mileage for a certain model of car is known to have a standard deviation of 6 mi/gallon. A simple random sample of 64 ca

rs of this model is chosen and found to have a mean gas mileage of 27.5 mi/gallon. Construct a 97.5% confidence interval for the mean gas mileage for this car model.
Mathematics
1 answer:
skad [1K]3 years ago
4 0

Answer: confidence interval = 27.5 +/- 1.68

= ( 25.82, 29.18)

Step-by-step explanation:

Given;

Number of samples n = 64

Standard deviation r = 6mi/gallon

Mean x = 27.5mi/gallon

Confidence interval of 97.5%

Z' = t(0.0125) = 2.24

Confidence interval = x +/- Z'(r/√n)

= 27.5 +/- 2.24(6/√64)

= 27.5 +/- 1.68

= ( 25.82, 29.18)

You might be interested in
Dina and Masha started out on a 20 miles bike path at the same time. When Dina reached the end of the 20 miles, Masha still had
mixas84 [53]

Answer:

8mph

Step-by-step explanation:

when dina arrived to 20 masha was at 16. so the relation is 20/16 and if dina's speed was 10 your formula is 10/x=20/16 that means x/10=16/20. so x will be 8

7 0
3 years ago
Read 2 more answers
Round up 395,621 to the nearest ten thousand
jeyben [28]
396,000
because 5 goes up and anything lower than five stays the same
4 0
3 years ago
I NEED THE ANSWER FOR THIS TEST PLEASE<br><br> Simplify -5+i/2i<br><br> Show work
LenaWriter [7]

\dfrac{-5+i}{2i}=\dfrac{-5+i}{2i}\cdot\dfrac{i}{i}=\dfrac{-5i+i^2}{2i^2}=\dfrac{-5i-1}{2(-1)}=\dfrac{5i+1}{2}=\dfrac{1}{2}+\dfrac{5}{2}i

8 0
3 years ago
Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amount
Nikolay [14]

Constant rates are used to illustrate linear functions.

  • The average rate of change is $9.0 per hour
  • The function that models the table is: \mathbf{f(x) = 9x }
  • The amount earned in 7.5 hours is $67.5

<u>(a) The average rate of change</u>

This is calculated using:

\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}

So, we have:

\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}

\mathbf{Rate = \frac{9}{1.0}}

\mathbf{Rate = 9.0}

Hence, the average rate of change is $9.0 per hour

<u>(b) A function that models the table of values</u>

Let x represent hours, and y represent the earnings.

So, we have:

\mathbf{y =m (x - x_1) + y_1}

Where:

m =Rate = 9.0

So, we have:

\mathbf{y = 9(x - 2.5) + 22.5}

Expand

\mathbf{y = 9x - 22.5 + 22.5}

\mathbf{y = 9x }

Represent as a function

\mathbf{f(x) = 9x }

Hence, the function that models the table is: \mathbf{f(x) = 9x }

<u>(c) Amount earned for 7.5 hours</u>

This means that x = 7.5

So, we have:

\mathbf{f(7.5) = 9 \times 7.5 }

\mathbf{f(7.5) = 67.5}

Hence, the amount earned in 7.5 hours is $67.5

Read more about constant rates at:

brainly.com/question/23184115

4 0
2 years ago
Mary baked 3 pies. 1 for her father, 1 for her friend joe, and 1 for her coworkers. Combination, permutaion or niether?
lbvjy [14]
The answer is permutation. It is <span>the action of changing the arrangement, especially the linear order, of a set of items.

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
</span>
6 0
3 years ago
Other questions:
  • What are the binomial factors of the expression below? x^2+5x-6
    11·1 answer
  • Select all that apply. A right triangle can also be a(n) _____ triangle.
    8·1 answer
  • A bag contains 6 red marbles, 3 blue marbles, and 7 green marbles. You choose one then a second without replacement. What is the
    7·1 answer
  • An isosceles triangle in which the two equal sides, labeled x, are longer than side y. The isosceles triangle has a perimeter of
    13·1 answer
  • Vhen 2.0 moles of magnesium reacts, how many liters of oxygen gas, O2, are needed at STP conditions?
    15·1 answer
  • HELP ITS DUE IN 5 MIN LIKE LITERALLY Find the the solution(s) to the system of f(x) and g(x) graphically. Select the
    5·1 answer
  • Which values are solutions to the inequality below?check all that apply x^2 &gt;49 A. 6 B.20 C.-7 D.-5 E.-16 F. 7
    6·1 answer
  • Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4 by substituting x = 1 and x = 2.
    5·1 answer
  • Can an absolute value function have an inverse function? why or why not?​
    15·1 answer
  • Fiona wrote the predicted and residual values for a data set using the line of best fit y=3. 71x-8. 85. Which statements are tru
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!