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3 years ago

Evaluate |x-13| when x=5. A.8 B.-8 C.21 D.-21

1 answer:

8 0

5 - 13 = -8

But remember it is in the ||. This means the answer will, no matter what, be positive.

So the answer is |-8|, or +8.

A is the answer.

Now for an explanation of why the || makes it positive.

They are know as "absolute values." Absolute values will always, no matter what, be a positive number. These can be very tricky to deal with, but just remember to answer what is in the || first, and THEN do the absolute value. Remember that on a number line, the middle is always 0. And because -8 and 8 are both 8 spaces away from 0, the absolute value will be 8. This is why it is positive. You cannot be negative spaces away from something.

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A manufacturer of nails claims that only 4% of its nails are defective. A random sample of 20 nails is selected, and it is found

irakobra [83]

Answer:

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

Step-by-step explanation:

A manufacturer of nails claims that only 4% of its nails are defective.

At the null hypothesis, we test if the proportion is of 4%, that is:

$H_0: p = 0.04$

At the alternative hypothesis, we test if the proportion is more than 4%, that is:

$H_a: p > 0.04$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

4% is tested at the null hypothesis

This means that $\mu = 0.04, \sigma = \sqrt{0.04*0.96}$

A random sample of 20 nails is selected, and it is found that two of them, 10%, are defective.

This means that $n = 20, X = 0.1$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.1 - 0.04}{\frac{\sqrt{0.04*0.96}}{\sqrt{20}}}$

$z = 1.37$

P-value of the test and decision:

Considering an standard significance level of 0.05.

The p-value of the test is the probability of finding a sample proportion above 0.1, which is 1 subtracted by the p-value of z = 1.37.

Looking at the z-table, z = 1.37 has a p-value of 0.9147

1 - 0.9147 = 0.0853

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

7 0

3 years ago

Read 2 more answers

Its all one big question

Verdich [7]

Answer:

see explanation

Step-by-step explanation:

h(x) + k(x) = x² + 1 + x - 2 = x² + x - 1

(h + k)(2) = 2² + 2 - 1 = 4 + 2 - 1 = 5

h(x) - k(x) = x² + 1 - (x - 2) = x² + 1 - x + 2 = x² -x + 3

(h - k)(3) = 3² - 3 + 3 = 9 - 3 + 3 = 9

h(2) = 2² + 1 = 4 + 1 = 5

k(3) = 3 - 2 = 1

3h(2) + 2k(3) = (3 × 5) + (2 × 1) = 15 + 2 = 17

7 0

3 years ago

Read 2 more answers

Please help!! Use cube root to solve. Will give brainliest!!

marissa [1.9K]

Answer: x=-17

Step-by-step explanation: Divide by -1 then add 8 to both sides and get (x+9)^3=-512, and the cube root of -512 is -8, so x+9=-8, and subtracting 9 from both sides we get x=-17 as answer.

4 0

2 years ago

Can someone help me solve this problem by factoring.<br> x^2 + 8x + 16 = 0

Pavlova-9 [17]

Factorization: (x + 4)∧2=0

Solutions based on Factorization: x + 4 = 0 ⇒ X∨1 = X∨2 = -4

8 0

3 years ago

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The equation shows the relationship between x and y:

dedylja [7]

Slope is generally showed by a variable, the variable can be represented by any letter. In this case the variable is represented by x

so the slope is the number that comes before the x, so the slope of this equation is -8

So your answer is A

8 0

3 years ago