Answer:
the number of short sleeves sold is 42
Step-by-step explanation:
The computation of the number of short sleeves sold is shown below:
Given that
The clothing store sold 98 long sleeve shirts
And, the ratio of short sleeve to long sleeve is 3:7
So, the number of short sleeves sold is
= 98 × 3 ÷ 7
= 42
Hence, the number of short sleeves sold is 42
Considering the situation described, the hypothesis tested are given as follows:
- The null hypothesis is

- The alternative hypothesis is

<h3>What are the hypothesis tested?</h3>
At the null hypothesis, it is tested if the standard deviation is not less than $23, that is:

At the alternative hypothesis, it is tested if there is significant evidence t conclude that the standard deviation is less than $23, that is:

More can be learned about an hypothesis test at brainly.com/question/26454209
For this case we must simplify the following expression:

We apply distributive property on the left side of the equation:

We subtract 3n from both sides of the equation:

We subtract 6 from both sides of the equation:

We divide between 45 on both sides of the equation:

Answer:

It is the first option. DF = DE. It is referring to the lengths of each line, DE and DF look like they are the same. It is not a scalene triangle it is a right triangle. EF is way too long to be equal to DE or DF