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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)

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Write and simplify the integral that gives the arc length of the following curve on the given interval b. If necessary, use tech
LiRa [457]

Answer:

L = 4.103

Step-by-step explanation:

we have length of curve

L = \int\limits^b_a {\sqrt{(f'(x))²+1} } \, dx

where f(x) = d/dx(3*in(x)) = 3/x

substituting for f(x), we have L = \int\limits^5_2 {\sqrt{(3/x)²+1} } \, dx

(since the limit is 2≤ x ≤5)

solving,  L = \int\limits^5_2 {\sqrt{9/x²+1} } \, dx

Simplifying this integral, we have

L = 4.10321

8 0
4 years ago
34,258 and 47,163 <br> The value of 4 in------ is ----- times<br> The value of 4 in -------
Mariulka [41]
The value of 4 in 47,163 is 10 times greater than the value of 4 in 34,258.

Each time you move one place over (e.g. tens to hundreds) the number gets 10 times larger if you move to the left and 10 times smaller if you move to the right. So, for example you go from tens to hundreds it is 10 times larger, but if you go from hundreds to tens then it is 10 times smaller.
6 0
3 years ago
Solve the formula V=pir^2h for r <br><br> PLEAASSSEEE HELP
otez555 [7]

Answer:

B

Step-by-step explanation:

So we have the formula:

V=\pi r^2h

And we want to solve it for r.

So, let's first divide both sides by π and h. This will cancel out the right side:

r^2=\frac{V}{\pi h}

Now, take the square root of both sides:

r=\sqrt{\frac{V}{\pi h}}

And we're done!

Our answer is B.

I hope this helps!

7 0
3 years ago
Read 2 more answers
Hi, I need help.
slavikrds [6]

Answer:

B, 24 (second answer choice)

Step-by-step explanation:

4r+7s=23

r-2s=17

8r+14s=46

7r-14s=119

15r=165

r=11

11-2s=17..........by putting value of r in ii

-2s=17-11

2s= -6

s= -3

3r+3s=3*11+3(-3) you get this by putting values of r and s

       =33-9

       =24    (B)

7 0
3 years ago
Read 2 more answers
What are the coordinates of A?​
irinina [24]
I think (7,10)
I hope that I helped ;D
4 0
3 years ago
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