The Remainder Theorem states: "When a polynomial F(x) is divided by , the remainder is ."

1 answer:

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Hey!

Original Problem :
The Remainder Theorem states:
"When a polynomial F(x) is divided by ______, the remainder is ______."

Completed Problem :
The Remainder Theorem states:
"When a polynomial F(x) is divided by ( x - a ), the remainder is F( a ).

So, the plug ins would be both ( x - a ) and F( a ).

Hope this helps!

- Lindsey Frazier ♥

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.) Suppose college students produce 650 pounds of solid waste each year, on average. Assume that the distribution of waste per c

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Answer:

0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste

Step-by-step explanation:

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.

Mean of 650 pounds and a standard deviation of 20 pounds.

This means that $\mu = 650, \sigma = 20$