Use the figure to find the measures. Lateral area = Total area = Volume =

Mathematics

2 answers:

sattari [20]2 years ago

6 0

Lateral area= 37.7
total area= 62.83
volume= 37.7

Anarel [89]2 years ago

3 0

Answer:

Lateral area = 2.pi.r.h = 2 x pi x 2 x 3 = 12 pi

Total area = lateral area + pi. r^2 . 2 = 20 pi

Volume = pi . r^2 . 2 . h = 24 pi

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Suppose the time to complete a 200-meter backstroke swim for female competitive swimmers is normally distributed with a mean μ =

hammer [34]

Answer:

The swimmer must complete the 200-meter backstroke in no more than 130 seconds.

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:

$\mu = 141, \sigma = 7$