Answer:
Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:
We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.
Step-by-step explanation:
We have the following info given:
represent the sampel mean for the age of customers
represent the population standard deviation
represent the sample size selected
We want to test if the mean age of her customers is over 35 so then the system of hypothesis for this case are:
Null hypothesis: 
Alternative hypothesis 
The statistic for this case is given by:
And replacing the data given we got:
We can calculate the p value since we are conducting a right tailed test like this:
Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:
We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.
Answer:
Step-by-step explanation:
The given sequence is
-12,-16,-20...
The first term of this sequence is 
.
The common difference is
The nth term of this arithmetic sequence is;
We substitute the values for the first term and the common difference to obtain;
The amount of interest Molly will earn after 5 years on a deposit of 
compounded annually over 5 years is 
First, we need to find the future value of her investment, then we subtract the original deposit from it to get the amount of interest she will get at the end of 5 years.
The future value of an investment that is compounded annually is given by
where
Substituting the available values into the formula and solving
The interest Molly will earn after 5 years is
Therefore, the amount of interest Molly will earn after 5 years on a deposit of compounded annually over 5 years is
Learn more about compound interest here: brainly.com/question/21270833
The term that can be added to the list so the GCF is 12h3 would be 48h5.
The reason being is that 48 is first divisible by 12 and does not yield a fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.
The length of his neck is longer than the length of his forearms by 44.86 %.
<h3>Calculations and Parameters:</h3>
Given:
Length of his neck = 14.72 inches
Length of his forearm = 25.81 cm
We know that:
1 inch = 2.54 cm
So, 14.72 inches = 14.72×2.54
=37.39 cm
So, the Length of his neck becomes 37.39 cm
So, the length of his neck is longer than the length of his forearms.
The difference between them is given by
37.39-25.81
=11.58 cm
so, the Percentage of change would be
11.58/25.81 * 100
=44.86%
Read more about percentages here:
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