What is the volume of a triangular prism with a height of 10, length of 6, and width of 3 ?
1 answer:
The volume of a triangular prism is 90 cubic units, If a triangular prism with a height of 10, length of 6 and width of 3.
Step-by-step explanation:
The given is,
Let, h - Height of the triangular prism
l - Length of the triangular prism
w - Width of the triangular prism
Step:1
Assume, Unit for height, length and width.
From given, ( consider unit)
h - 10 units
l - 6 units
w - 3 units
Step:2
Formula for volume of triangular prism is,
Substitute the values of w,h and l
= () × 3 × 10 × 6
= 90
V = 90 cubic units
Result:
The volume of a triangular prism is 90 cubic units, for the given triangular prism with a height of 10, length of 6 and width of 3.
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Answer:
The critical value that should be used is T = 2.0796.
The 95% confidence interval for the mean repair cost for the dryers is between $91.912 and $105.648.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used 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 = 22 - 1 = 21
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 21 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.0796, which is the critical value that should be used.
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 98.78 - 6.868 = $91.912
The upper end of the interval is the sample mean added to M. So it is 98.78 + 6.868 = $105.648
The 95% confidence interval for the mean repair cost for the dryers is between $91.912 and $105.648.