Answer:
Kathy: $1,224,000
Mark: $306,000
Please refer to the attachment.
Answer:
At the α = 0.10 level, there is no substantial evidence indicating that the average vertical jump for students at this school differs from 15 inches.
Step-by-step explanation:
A hypothesis test is necessary to verify the assertion that the average vertical jump of students diverges from 15 inches.
The null and alternative hypotheses are:

The significance level is set at 0.10.
The sample mean recorded is 17, and the sample standard deviation is 5.37.
The degrees of freedom are calculated as df=(20-1)=19.
The t-statistic is:

The two-tailed P-value corresponding to t=1.67 is P=0.11132.
<pSince this P-value exceeds the significance level, the result is not significant. Therefore, the null hypothesis remains unchallenged.
At the α = 0.10 level, there is no compelling evidence that the average vertical jump of students at this school deviates from 15 inches.
Answer:
The linear equations are:

Step-by-step breakdown:
Here, a denotes the quantity of 2-point shots, and b indicates the number of 3-point shots.
According to the information given:
The basketball team accumulated 82 points through 2-point and 3-point baskets.
⇒
It is also stated that: They made a total of 38 baskets.
⇒
therefore, the linear equations are:

Response:
I believe the answer might be either the second or the fourth option.
Apologies if this isn't accurate.
Detailed explanation: