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Veseljchak [2.6K]
3 years ago
10

(01.04)

Mathematics
1 answer:
Ymorist [56]3 years ago
5 0

Answer:2

Step-by-step explanation: the equation is in linear form y=mx+b, the b represents the y intercept in your equation that would be -5

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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.

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3 years ago
50 POINTS/ WILL MARK BRAINLIEST
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Answer:

i think the answer is She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2.

plz mark me as brainliest if i was right

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3 years ago
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I would like some help please​
wlad13 [49]

Answer:

it would have to be c....

Step-by-step explanation:

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3 years ago
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ANSWER PLEASE GIVING BRALIEST AND 50 POINTS 50!
shepuryov [24]
213+497=710 total students, so 213 wore a silly hat so that would be 30% wore the silly hats
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3 years ago
Is f(x)=13.7e^0.04t an example of exponential growth or decay
Katena32 [7]
<span>exponential growth becasue its multiplyin? decay is sbtracting or division. i think.</span>
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