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Gemiola [76]
3 years ago
5

75 percent of 88 is the same as 60 percent of what number?

Mathematics
1 answer:
tangare [24]3 years ago
5 0
First we need to know 75% of 88.
To find this number we multiply 88 by 0.75. 
Hence, 0.75 * 88 = 66

Therefore, 60% of a certain number equals 66.
Then 1% of that certain number equals 66 / 60
Finally, to find our number (which equals 100%) we multiply by 100.
So 66 / 60 * 100 = 110.

Hence, 75 percent of 88 is the same as 60 percent of 110.
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Step-by-step explanation:

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Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.5 feet and a standard deviation o
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Answer:

0% probability that the mean of the sample taken is less than 2.2 feet.

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.

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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 establishes 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}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 2.5 feet and a standard deviation of 0.2 feet.

This means that \mu = 2.5, \sigma = 0.2

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This means that n = 41, s = \frac{0.2}{\sqrt{41}}

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Z = \frac{X - \mu}{\sigma}

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Z = \frac{X - \mu}{s}

Z = \frac{2.2 - 2.5}{\frac{0.2}{\sqrt{41}}}

Z = -9.6

Z = -9.6 has a p-value of 0.

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Answer

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Step by step explanation

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