Find the volume of the given shape. Round your answer to the nearest hundredth if necessary.*

Mathematics

1 answer:

hjlf2 years ago

6 0

Answer:

Step-by-step explanation:

It is a sphere with radius r = 5 cm

volume = (4/3)πr³

= (4/3)π(5³)

≅ 523.60 cm³

You might be interested in

What is the value of the expression 10 + (fraction 1 over 2)4 ⋅ 48?

EleoNora [17]

Equation arrangement: 10 + [1/2]^4. 48
[1/2]^4 = 1/2 * 1/2 * 1/2 * 1/2 = 1/16
10 + [1/16] * 48
According to the law of BODMAS, we have to carry out multiplication operations before we carry out addition operations, therefore, we now have.
[1/16] * 48 = 3
Then, 10 +3 =13.
Thus, the final answer is 13.

5 0

3 years ago

. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 5, what is the probability that a person

bulgar [2K]

Answer:

2.28% probability that a person selected at random will have an IQ of 110 or greater

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:

$\mu = 100, \sigma = 5$