Michelle went on a hike. She started on the trail at 6:45 a.m and returned at 3:28 p.m. How long did she hike?

Mathematics

2 answers:

Lerok [7]3 years ago

8 0

D. Because if one time is a certain amount of time away from 12pm and the other one is a certain amout away from 12pm then you add them up and get a number of hours and minutes

Dmitrij [34]3 years ago

6 0

Its really simple if u think about it.from 6:45 to 2:45 its 8 hours and from 2:45 to 3:28 its 43 minutes. hope it helped.☺☺

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a) 0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.

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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 normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, 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 $s = \frac{\sigma}{\sqrt{n}}$ .