The radius of the large sphere is double the radius of the small sphere.

Mathematics

1 answer:

kkurt [141]3 years ago

4 0

Step-by-step explanation:

the answer is in the image above

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A jogger runs 8 miles north and then 5 miles west. What is the shortest distance, to the nearest tenth of a mile, he must travel

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Answer:

most likely has to run 13 miles southeast or 5 miles east and 8 west

Step-by-step explanation:

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3 years ago

Find the exact area of the circle with the given radius. r = 4.5 m

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The area of a circle is Pi * R^2 (or R * R).
Since we have our radius, R, we can solve.
With our given answer choices, we do not need to multiply R by Pi, instead we will square R, as that's our only option.
4.5 x 4.5 = 20.25.
Our area is now 20.25Pi.
Your answer is C.) 20.25Pi.
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Read 2 more answers

The lengths of nails produced in a factory are normally distributed with a mean of 4.84 centimeters and a standard deviation of

Helga [31]

Answer:

Top 3%: 4.934 cm

Bottom 3%: 4.746 cm

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 4.84, \sigma = 0.05$