Answer:
Critical value: T = 1.337
The 80% confidence interval for the mean repair cost for the stereos is between $45.991 and $86.689
Step-by-step explanation:
We have the standard deviation for the sample. So we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 17 - 1 = 16
80% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 16 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 1.337, which is the critical value
The margin of error is:
M = T*s = 1.337*15.22 = 20.349
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 66.34 - 20.349 = $45.991
The upper end of the interval is the sample mean added to M. So it is 66.34 + 20.349 = $86.689
The 80% confidence interval for the mean repair cost for the stereos is between $45.991 and $86.689
<span>Which decimal represents the fraction of plants in this group that have flowers? Image of 5 plants. 4 of the plants have flowers. </span>The answer is c 1.5
Let the number of hours be $x
Initial charges by Sanford's Plus = $125
Per hour charges = $165
Total cost of Sanford's Plus company = 125 + 165x
Initial charges by Quality Moving Company = $200
Per hour charges = $145
Total cost of Quality Moving Company = 200 + 145x
If either company were hired for hours, the total cost would be the same
125 + 165x = 200 + 145x
Add -125 on both sides
125 - 125 + 165x = 200 + 145x-125
165x = 75 + 145x
Add -145 on both sides
165x - 145x = 75
20x = 75
Divide both side by 20, to find the value of x
x = 75/20
x = 3.75 hours
Total cost of Sanford's Plus company = 125 + 165x
x = 12 hrs
Total cost of Sanford's Plus company = 125 + 165(12)
Total cost of Sanford's Plus company = 125 + 1980
Total cost of Sanford's Plus company = $2105
To work out the volume of a prism, you multiply the area of cross-section by the height (or length).
So for a cylinder, you work out the area of the circle and then multiply it by the height.
Area of circle (or cross-section) = π × radius²
= π × 0.7²
= 0.49π m²
Now to get the volume of the cylinder, you times this area of the cross-section by the height of the cylinder:
Volume = 0.49π × 1.5
= 2.3 m³ (accurate to 2 decimal places)
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Answer:
The maximum volume of rainwater the cylinder can hold is:
<u> </u><u>2.3 </u><u>m³</u>
