Answer: The margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.
Step-by-step explanation:
Since we have given that
Sample size = 400
Mean = $357.75
Standard deviation = $37.89
At 95% confidence level, z = 1.96
We first find the margin of error.
Margin of error is given by
95% confidence interval would be
Hence, the margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.
Answer:
V = 180 ft^3
Step-by-step explanation:
The volume of a cone is found by
V = 1/3 pi r^2 h where r is the radius and h is the height
The diameter is 12 so the radius is 1/2 the diameter or 1/2(12) = 6
The height is 5 and we are using 3 for pi
V = 1/3 (3) *6^2 *5
V = 180 ft^3
Answer:
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Step-by-step explanation:
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Answers: Choice B and Choice D</h3>
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Work Shown:
c = price of coat before discount
0.33c = discount = amount you save
c - 0.33c = original price minus discount = final price
c - 0.33c = 1c - 0.33c = (1-0.33)c = 0.67c = final price
In short, c - 0.33c = 0.67c
They are two ways of expressing the same thing.
You can think of it like saying 100% - 33% = 67%
If you save 33%, then you still have to pay the remaining 67% of the original cost.
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Example:
Let's say the coat is $100 before the discount
c = 100
0.33*c = 0.33*100 = 33 dollars is how much you save
c - 0.33c = 100 - 33 = 67 dollars is the final price
0.67c = 0.67*100 = 67 matches with the previous figure above
