The diagram shows two different nature trails in a state park. The solid line shows the Dogwood Trail. The dashed line shows the
Elm Trail.
Which of the following statements are true about the lengths of the trails? Check all that apply.
1.The total length of the Dogwood Trail is 16 kilometers.
2.The total length of the Dogwood Trail is 24 kilometers.
3.The Elm Trail is longer than the Dogwood Trail.
4.The difference between the lengths of the trails is 2 kilometers.
5.The difference between the lengths of the trails is 6 kilometers.
Which of the following statements are true about the lengths of the trails? Check all that apply.
1.The total length of the Dogwood Trail is 16 kilometers.
2.The total length of the Dogwood Trail is 24 kilometers.
3.The Elm Trail is longer than the Dogwood Trail.
4.The difference between the lengths of the trails is 2 kilometers.
5.The difference between the lengths of the trails is 6 kilometers.
2 answers:
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Answer:
The likelihood that Albert's sample of 64 will have a mean waiting time between 13.5 and 16.5 minutes is 0.9973.
Step-by-step explanation:
Prior concepts
A normal distribution is characterized as a "probability distribution that is symmetric around the mean, indicating that data close to the mean are more frequent than those further away".
The Z-score refers to "a statistical measurement that reflects the relationship of a value to the mean of a group, measured in standard deviations".
Let X denote the random variable of interest, and we identify its distribution:
Also, let signify the sample mean, whose distribution is:
In this case,
Solution to the problem
We seek this probability
Applying the Z-score formula to the probability results in:
To determine these probabilities, we can refer to normal distribution tables, use Excel, or a calculator.
The likelihood that Albert's sample of 64 will have a mean waiting time between 13.5 and 16.5 minutes is 0.9973.
Response:
a) Expense
b) Revenue from sales
c) Values table
d) Included
e) Breakeven point = 12.5 sheets
f) Earnings at 550 sheets = $1,950
In-depth analysis:
a) There is a fixed cost of $50 for the image.
Additionally, there is a variable cost of $16 for each sheet.
The total quantity purchased is 500 sheets.
Thus, the cost function can be established as:
b) Each sheet sells for $20, leading to:
c) Values table
d) Included
e) To avoid losses, the minimum number of sheets that must be sold is determined by the breakeven point (BEP), calculated by equating sales income to costs:
f) Profit is computed as the difference between sales income and the cost:
