Round 86.74 to the nearest whole

Mathematics

1 answer:

zlopas [31]3 years ago

7 0

Answer:

Step-by-step explanation:

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Let f(x) = 4x+3 and g(x) = -2x+5

brilliants [131]

f(x) = 4x + 3
g(x) = -2x + 5

(f · g)(5) = (4(5) + 3)(-2(5) + 5)
(f · g)(5) = (20 + 3)(-10 + 5)
(f · g)(5) = (23)(-5)
(f · g)(5) = -115

3 0

3 years ago

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

Mumz [18]

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.

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 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 $s = \frac{\sigma}{\sqrt{n}}$ .