Quadratics Help!!! (Number 11)
1 answer:
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Answer:
and
Step-by-step explanation:
At=As+Ar; A=b.h and , then: At=(x+120)x so
(x+120)x=4500, Applying cuadratic equation formula:
Answer:
0.9772 = 97.72% probability that a randomly selected firm will earn more than Arc did last year
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Suppose the mean income of firms in the same industry as Arc for a year is 90 million dollars with a standard deviation of 7 million dollars.
This means that
What is the probability that a randomly selected firm will earn more than Arc did last year?
Arc earned 76 million, so this is 1 subtracted by the pvalue of Z when X = 76.
has a pvalue of 0.0228
1 - 0.0228 = 0.9772
0.9772 = 97.72% probability that a randomly selected firm will earn more than Arc did last year
The equation of a direct variation is of the form
But the given function can be rewritten as
This is a partial variation,
is the constant of variation and
is the fixed constant.
But the given function can be rewritten as
This is a partial variation,
is the constant of variation and
is the fixed constant.