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2 years ago

If x = -3 is a zero of f(x), which of the following must be true?

Mathematics

1 answer:

Alla [95]2 years ago

4 0

Answer: B

Step-by-step explanation: You make the values in the parentheses equal to zero.

(X + 3) = 0

X = -3

A is wrong because the root would be 3, not negative 3. C is wrong because 3 isn’t guaranteed to be a root. D is wrong because -3 is a real solution.

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2 years ago

Read 2 more answers

A consumer affairs investigator records the repair cost for 4 randomly selected washers. A sample mean of $52.63 and standard de

nydimaria [60]

Answer:

The 80% confidence interval for the mean repair cost for the washers is between $34.60 and $70.66.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 4 - 1 = 3

80% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 3 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.8}{2} = 0.9$ . So we have T = 1.638

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 1.638\frac{22.01}{\sqrt{4}} = 18.03$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 52.63 - 18.03 = $34.60

The upper end of the interval is the sample mean added to M. So it is 52.63 + 18.03 = $70.66.

The 80% confidence interval for the mean repair cost for the washers is between $34.60 and $70.66.

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2 years ago