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2 answers:
Answer:
1. 6 ft
2. 1 ft
3. 1/2 ft
Step-by-step explanation:
We know that the quilt is the shape of a square, since we are told that the main design has the same length sides of 5 ft.
Area of a square = s² (where s is the side length)
If the finished quilt has an area of 36 ft² then the length of one side is:
⇒ s = √(36) = 6 ft
Side length of main design = 5 ft
Side length of finished quilt = 6 ft
6 - 5 = 1 ft
Therefore, the border increased the total length of each side by 1 ft
As the border goes around the whole quilt, this means that the extra 1 ft needs to be divided by 2, so that each side has an equal amount added.
Therefore, the width of the border is 1/2 ft
**see attached diagram. Main design is shown in blue, border is shown in green**
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Answer:
b) The width of the confidence interval becomes narrower when the sample mean increases.
Step-by-step explanation:
The confidence interval can be calculated as:
a) The width of the confidence interval becomes wider as the confidence level increases.
The above statement is true as the confidence level increases the width increases as the absolute value of test statistic increases.
b) The width of the confidence interval becomes narrower when the sample mean increases.
The above statement is false. As the sample mean increases the width of the confidence interval increases.
c) The width of the confidence interval becomes narrower when the sample size n increases.
The above statement is true as the sample size increases the standard error decreases and the confidence interval become narrower.
Answer:
There will be $5624.32 in the account after 3 years if the interest is compounded annually.
There will be $5630.812 in the account after 3 years if the interest is compounded semi-annually.
There will be $5634.125 in the account after 3 years if the interest is compounded quarterly.
There will be $5636.359 in the account after 3 years if the interest is compounded monthly
Step-by-step explanation:
Tamira invests $5,000 in an account
Rate of interest = 4%
Time = 3 years
Case 1:
Principal = 5000
Rate of interest = 4%
Time = 3 years
No. of compounds per year = 1
Formula :
A=5624.32
There will be $5624.32 in the account after 3 years if the interest is compounded annually.
Case 2:
Principal = 5000
Rate of interest = 4%
Time = 3 years
No. of compounds per year = 2
Formula :
A=5630.812
There will be $5630.812 in the account after 3 years if the interest is compounded semi-annually.
Case 3:
Principal = 5000
Rate of interest = 4%
Time = 3 years
No. of compounds per year = 4
Formula :
A=5634.125
There will be $5634.125 in the account after 3 years if the interest is compounded quarterly.
Case 4:
Principal = 5000
Rate of interest = 4%
Time = 3 years
No. of compounds per year = 4
Formula :
A=5636.359
There will be $5636.359 in the account after 3 years if the interest is compounded monthly
Answer:
√97
Step-by-step explanation:
