Find the complement of a 27.5 ∘ angle (in degrees).
2 answers:
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Answer:
x = 63.6
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X and also the area to its left. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to its right.
In this problem, we have that:
Find a value of x that has area 0.01 to its right
This is x when Z has a pvalue of 1-0.01 = 0.99. So it is X when Z = 2.3267.
So x = 63.6
Answer:
The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.
Step-by-step explanation:
A nickel can be modelled by the formula of a right cylinder, the approximate volume of the stack of nickels (), measured in cubic milimeters, is the product of the number of elements (
), no unit, and the volume of each element (
), measured in cubic milimeters. That is:
(1)
By volume equation of right cylinder, we have the following formula:
(2)
Where:
- Amount of nickels, no unit.
- Diameter of nickel, measured in milimeters.
- Thickness of nickel, measured in milimeters.
If we know that ,
and
, then the net volume of the stack of nickels is:
The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.