Answer:
The inequality is
The greatest length of time Jeremy can rent the jet ski is 5 and Jeremy can rent maximum of 135 minutes.
Step-by-step explanation:
Given: Cost of first hour rent of jet ski is $55
Cost of each additional 15 minutes of jet ski is $10
Jeremy can spend no more than $105
Assuming the number of additional 15-minutes increment be "x"
Jeremy´s total spending would be first hour rental fees and additional charges for each 15-minutes of jet ski.
Lets put up an expression for total spending of Jeremy.
We also know that Jeremy can not spend more than $105
∴ Putting up the total spending of Jeremy in an inequality.
Now solving the inequality to find the greatest number of time Jeremy can rent the jet ski,
⇒
Subtracting both side by 55
⇒
Dividing both side by 10
⇒
∴
Therefore, Jeremy can rent for
Jeremy can rent maximum of 135 minutes.
Answer:
w - 3.3 + -3.3 = 5.6 - 3.3
w = 2.3
Using the z-distribution, it is found that since the <u>test statistic is greater than the critical value</u>, it can be concluded that the mean length of jail time has increased.
At the null hypothesis, it is <u>tested if the mean length of jail time is still of 2.5 years</u>, that is:
At the alternative hypothesis, it is <u>tested if it has increased</u>, that is:
We have the <u>standard deviation for the population</u>, thus, the z-distribution is used. The test statistic is given by:
The parameters are:
- is the sample mean.
- is the value tested at the null hypothesis.
- is the standard deviation of the sample.
- n is the sample size.
For this problem, the values of the <u>parameters</u> are:
Hence, the value of the <u>test statistic</u> is:
The critical value for a <u>right-tailed test</u>, as we are testing if the mean is greater than a value, with a <u>significance level of 0.05</u>, is of
Since the <u>test statistic is greater than the critical value</u>, it can be concluded that the mean length of jail time has increased.
A similar problem is given at brainly.com/question/24166849