A triangle has one side that measures 12 inches and another side that measures 33 inches. Which are possible side lengths of the
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First off, let's notice that the angle is in the IV Quadrant, where sine is negative and the cosine is positive, likewise the opposite and adjacent angles respectively.
Also let's bear in mind that the hypotenuse is never negative, since it's simply just a radius unit.
Given the scores on a statewide standardized test are normally distributed
Mean = μ = 78
Standard deviation = σ = 3
Normalize the data using the z-score by using the following formula and chart:
Estimate the percentage of scores of the following cases:
(a) between 75 and 81
so, the z-score for the given numbers will be:
As shown, the percentage when (-1 < z < 1) = 68%
(b) above 87
The percentage when (z > 3) = 0.5%
(c) below 72
The percentage when (z < -2) = 0.5 + 2 = 2.5%
(d) between 75 and 84
The percentage when ( -1 < z < 2 ) = 68 + 13.5 = 81.5%
