Graduate management aptitude test (gmat) scores are widely used by graduate schools of business as an entrance requirement. supp
1 answer:
The values that exist two standard deviations above and below the mean are 681 and 265.
<h3>How to determine the values?</h3>The given parameters exist:
Mean = 473
Standard deviation =104
The values above and below the mean exist calculated utilizing:
In this case n = 2.
So, we have,
The value above is:
x = 473 + 2 104 = 681
The value below is:
x = 473 - 2 104 = 265
Therefore, the values that exist two standard deviations above and below the mean are 681 and 265.
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Answer:
Total cost of Mark's board is $3.75.
Step-by-step explanation:
We are given the following in the question:
Length of wooden board =
Unit cost of board = $0.50 per foot
Total cost of board =
Thus, total cost of Mark's board is $3.75.
Answer:
a) , b)
, c) Concave upward:
. No intervals being concave downward.
Step-by-step explanation:
a) Tangent line is vertical if slope is undefined, whose points are associated with discontinuities of the function. Rational functions have discontinuities associated with the denominator:
By factorizing each component, the function is re-arranged as:
There is no avoidable discontinuities. The only point where tangent line is vertical is .
b) Tangent line is horizontal if slope is equal to zero, whose point is associated to the points that makes function equal to zero. Rational functions have horizontal tangent lines if numerator is equal to zero and denominator is different to zero. Hence, the only point where tangent line is horizontal is .
c) An interval is concave upward if exist an absolute minimum inside, which can be found by the help of the First and Second Derivative Tests.
The only critical point is:
(which coincides with the result of point b)
The value associated with the critical point is:
Which means that critical point is an absolute minimum, and, consequently, the interval that is concave upward is . There is no absolute maximums and, therefore, there is no interval that is concave downward.