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FromTheMoon [43]
2 years ago
5

6(y + 8) = I need help please :)

Mathematics
2 answers:
Allushta [10]2 years ago
6 0

Answer:

6y + 48

Step-by-step explanation:

Use distributive property 6 x y = 6y

(keep the plus sign btw)

6 x 8 = 48

then place it in order: 6y + 48 is your algebra expression

hichkok12 [17]2 years ago
5 0

Answer:

6y + 48

Step-by-step explanation:

Distributive Property

6 * y = 6y + 8

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What number is 80% of 90%?​
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A laptop producing company also produces laptop batteries, and claims that the batteries
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Answer:

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours. (P-value = 0).

The null and alternative hypothesis are:

H_0: \mu=4\\\\H_a:\mu< 4

Step-by-step explanation:

<em>The question is incomplete: To test this claim a sample or population standard deviation is needed.</em>

<em>We will estimate that the sample standard deviation is 2 hours, and use a t-test to test that claim.</em>

<em> NOTE (after solving): The difference between the sample mean and the mean of the null hypothesis is big enough to reject the null hypothesis, even when we have a sample standard deviation of 3.5 hours, which can be considered bigger than the maximum standard deviation for the sample.</em>

This is a hypothesis test for the population mean.

The claim is that the batteries power the laptops for significantly less than 4 hours.

Then, the null and alternative hypothesis are:

H_0: \mu=4\\\\H_a:\mu< 4

The significance level is 0.05.

The sample has a size n=500.

The sample mean is M=3.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=2.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{2}{\sqrt{500}}=0.0894

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t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{3.5-4}{0.0894}=\dfrac{-0.5}{0.0894}=-5.5902

The degrees of freedom for this sample size are:

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P-value=P(t

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The null hypothesis is rejected.

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours.

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Step-by-step explanation:

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