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yKpoI14uk [10]
3 years ago
12

paris run 3 1/2 laps around the circular track in the school gym. The track has a diameter of 1/2 mile. About how far does paris

run?
Mathematics
1 answer:
fiasKO [112]3 years ago
7 0

Answer:

5.497787144 miles

Step-by-step explanation:

Remember that circumference of a circle can be calculated with:

2\pi r

r=radius

We also know that the radius is just a half of the diameter.

So, the radius of the track is (1/2)/2=1/4 miles

Now, use the circumference of a circle formula to find how much she runs in 1 lap.

2\pi (\frac{1}{4} )

Simplify

\frac{\pi }{2}

This is how much she runs in 1 lap.

Multiply by 3.5 for 3 and a half laps.

\frac{\pi }{2}*3.5

The answer is around 5.497787144 miles.


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5 0
3 years ago
Suppose the population standard deviation is σ = 5 , an SRS of n = 100 is obtained, and the confidence level is chosen to be 98%
beks73 [17]

Answer:

1.165.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

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Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

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6 0
3 years ago
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3(x-1) = 2x - y

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2(x+y) = 3+3y

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make equation (1) and (2) together

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x = 2

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3 years ago
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