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iogann1982 [59]
3 years ago
5

You spend $300 to start and costs $20 for each dog house

Mathematics
1 answer:
Tasya [4]3 years ago
4 0

Answer:

15

  • Step-by-step explanation:

because because 300 divided by 20 equals 15 hope this helps

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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
Help me with this please
Iteru [2.4K]

Answer: is it -3,11

Step-by-step explanation:

7 0
3 years ago
How can u get from 100 to 18 in divison or multiplaction
slavikrds [6]
100x 0.18 as it equals 18 when you multiply it 
6 0
3 years ago
According to the Ruler Postulate, what does the set of points on any line correspond to?
S_A_V [24]
The correct answer is real numbers

8 0
3 years ago
Read 2 more answers
two families are saving up for a summer trip the smith family originaly has 1000 dollars and will save 50 dollars every week the
SCORPION-xisa [38]
1000 + 50x = 500 + 75x

First move 500 by subtracting it from 1000.
500 + 50x = 75x

Now subtract 50x from 75x.
500 = 25x

Then divide 500 by 25.
20 = x

They would've saved the same amount($2,000) on the 20th week.




5 0
2 years ago
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