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Alchen [17]
3 years ago
10

PLEASE HELP! URGENT! WILL GIVE BRAINLIEST!

Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0
1. The answer is 1. To get this answer, substitute x=3 into the function and solve for f(x)

2. The answer is 12. Substitute -5 in place for f(x) and isolate and solve for x.

**Please mark this answer as Brainliest and leave a Thanks if I helped :)
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Between which two integers does √700 lie?
erastovalidia [21]
The square root of 700 is about 26.45, so it lies between 26 and 27
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A laptop producing company also produces laptop batteries, and claims that the batteries
gregori [183]

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

Then, we can calculate the t-statistic as:

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:

df=n-1=500-1=499

This test is a left-tailed test, with 499 degrees of freedom and t=-5.5902, so the P-value for this test is calculated as (using a t-table):

P-value=P(t

As the P-value (0) is smaller than the significance level (0.05), the effect is  significant.

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.

5 0
3 years ago
Determine whether or not the two equations below have the same solution. In two or more complete sentences, explain your rationa
Dimas [21]
These equations do match up. All you have to do is find the solution to the first equation. After that, plug in that solution to the second equation. If it makes the equation true, then the equations match. 

Hope this helps!
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3 years ago
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In a direct variation, the constant of proportionality is -3. Which of the following would be its equation?
saw5 [17]

Answer:

C

Step-by-step explanation:

The equation of direct variation is y=kx.

K is the constant of proportionality, which is in this case is -3.

y=-3x

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Artem and Anthony are selling brownies at the school bake sale. Anthony sold twice as many brownies as Artem. Together, they sol
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Answer:

no because 2(4) + 4 = 15

Step-by-step explanation:

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