A wildlife conservation group buys the 9 square miles of land shown.

Mathematics

2 answers:

DochEvi [55]3 years ago

5 0

Answer: 6 cm

Step-by-step explanation:

A = b(h) / 2

9 = b(3) / 2

9(2) = b(3)

18/3 = b

6 = b

b also known as base stands for AB

SVEN [57.7K]3 years ago

3 0

6=b just got done taking the test

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At a large university, the mean amount spent by students for cell phone service is $58.90 per month with a standard deviation of

zhenek [66]

Answer:

2.28% probability that the mean amount of their monthly cell phone bills is more than $60

Step-by-step explanation:

To solve this question, we need 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 normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .