Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany . Find their ages.
2 answers:
<h3><u>Question</u><u>:</u></h3>
Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany. Find their ages.
<h3><u>Solution</u><u>:</u></h3>- Let the age of Tiffany be x years.
- Then, the age of Emily = 4x years.
- After 10 years, the age of Tiffany will be (x+10) years.
- After 10 years, the age of Emily will be (4x+10) years.
- Therefore, by the problem
- So, Tiffany's present age = 5 years.
- Emily's present age = (4×5) years = 20 years.
Emily's age is 20 years and Tiffany's age is 5 years.
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Answer:
a. The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.
b. Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
Sample of 1,664 adult Americans, 939 people in the sample would have given themselves a grade of A or B in personal finance.
This means that
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.
(b) Is the confidence interval from part (a) consistent with the statement that a majority of adult Americans would give themselves a grade of A or B?
Yes, because the confidence interval is entirely above 0.5.
Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.
Well using distance formula
The answer I got was Distance = 45.9 what ever unit of measure it might ask for. Feel free to check my math just in case.
The answer I got was Distance = 45.9 what ever unit of measure it might ask for. Feel free to check my math just in case.