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diamong [38]
2 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]2 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)

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IgorC [24]

Answer:

6 3/8

Step-by-step explanation:

Convert the fractions so that the denominators match.

3\frac{3}{4} =3\frac{6}{8}, then 3\frac{6}{8}=\frac{30}{8}

1\frac{1}{8}=\frac{9}{8}

2\frac{1}{2}=\frac{3}{2}, then \frac{3}{2}=\frac{12}{8}

Add up the fractions.

\frac{30}{8}+\frac{9}{8}+\frac{12}{8} =\frac{51}{8} =6\frac{3}{8}

8 0
2 years ago
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Which solid has a volume that is 3 times the volume of a cone with the same base and height?
miss Akunina [59]
A cylinder...

Vcylinder=hπr^2

Vcone=(hπr^2)/3

3*Vcone=Vcylinder
7 0
3 years ago
Vinny is interviewing for a job. he wants his take-home pay to be at least $42,000$42,000. what is the least salary he can earn
Elena-2011 [213]

56,000 would be the answer. If you divide the 42,000 by 3 then add your quotient to the original number you get his salary before tax.


7 0
3 years ago
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HELLO PLEASE HELP!! HAVE A GOOD DAY/NIGHT!!
aliina [53]

So, XZ= 7x+1 and PZ= 4x-1. To figure out XP we have to subtract those two.

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2 years ago
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Find the value of x. Round your answer to the nearest tenth.
Fantom [35]
Hello again! So we will be using the pythagorean theorem (leg^2+leg^2=hypotenuse^2) to solve for the bottom leg of the triangles. After we do that, we'll subtract the value of the legs from 31, and that'll be x.


Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.

17^2+z^2=19^2

Solve the exponents to get 289+z^2=361

Subtract 289 on each side to get z^2=72

Lastly, square root each side of the equation and your answer should be z= \sqrt{72} (To get more accurate answers, you shouldn't round until the end of the problem)


Nextly, we will need to subtract \sqrt{72} from 31. And since there are 2 triangles, you'll need to multiply \sqrt{72} by 2.

x=31- \sqrt{72} *2 \\ x=14.0

In short, x = 14.0
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3 years ago
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