The net of a square pyramid is show: what is the surface area of the figure? 20 points answer

Mathematics

1 answer:

balandron [24]3 years ago

4 0

Answer:

0.6625 square inch

Step-by-step explanation:

The area of the central square in square inches is

area = s²

= 0.25² = 0.0625.

The area of each triangular side is ...

area = 1/2bh

= 1/2·0.25·1.2 = 0.15

So, the sum of the areas of the four sides and the base is ...

4(0.15) +0.0625 = 0.6625 . . . . square inches

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The average number of moves a person makes in his or her lifetime is 12. If the standard deviation is 3.2, find the probability

lys-0071 [83]

Answer:

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Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$