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4 years ago

10

F(x)= x exponent 2 - 8x+5 Find f(-1)

1 answer:

mariarad [96]4 years ago

8 0

F(x)= (x^2) - 8x + 5
F(-1)= ((-1)^2) - 8(-1) + 5
= 1 - (-8) + 5
= 1 + 8 + 5
F(-1) = 14

Double check my work but if I read your equation properly then that should be it.

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1) Ten samples of a process measuring the number of returns per 100 receipts were taken for a local retail store.

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Answer:

E) .0863

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

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Solution to the problem

For this case we can find the sample proportion for each observation with the following formula:

$\hat p = \frac{X}{n}$

Where X represent the number of returns and n =100 for each case since the standard value used. Using the last formula we got:

$p_1 = \frac{10}{100}=0.1$

$p_2 = \frac{9}{100}=0.09$

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$p_6 = \frac{12}{100}=0.12$

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$p_8 = \frac{4}{100}=0.04$

$p_9 = \frac{6}{100}=0.06$

$p_{10} = \frac{11}{100}=0.11$

And now witht those values we can find the sample mean of proportions with the following formula:

$hat p = \frac{\sum_{i=1}^n p_i}{n}= \frac{0.1+0.09+0.11+0.07+0.03+0.12+0.08+0.04+0.06+0.11}{10}=0.081$

And we can find the standard error with the following formula:

$SE= \sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.081(1-0.081)}{10}}=0.0863$

So then the best option on this case is given by:

E) .0863

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This was the way I was taught, hopefully it helps you.

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