Please help me branniest
2 answers:
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Answer:
(a) The <em>z</em>-score of Roger is -1.56 and the <em>z</em>-score of Amber is -1.13.
(b) Roger had a better year relative to his peers.
Step-by-step explanation:
If X follows N (<em>µ, σ</em>₂), then , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z follows N (0, 1).
Let <em>X</em> = ERA of male pitchers and <em>Y</em> = ERA of ERA of female pitchers.
It is provided that the mean and standard deviation of <em>X</em> are:
Also, the mean and standard deviation of <em>Y</em> are:
ER of Roger is 3.14 and ERA of Amber is 3.38.
(1)
Compute the <em>z</em>-score of Roger as follows:
Thus, the <em>z</em>-score of Roger is -1.56.
Compute the <em>z</em>-score of Amber as follows:
Thus, the <em>z</em>-score of Amber is -1.13.
(2)
Compute the probability of ERA's that are greater than Roger's ERA as follows:
This implies that 94% of the other male pitchers had an ERA higher than 3.14.
Compute the probability of ERA's that are greater than Amber's ERA as follows:
This implies that 87% of the other female pitchers had an ERA higher than 3.38.
As it is provided that the lower the ERA the better the pitcher, then it can be concluded that Roger had a better year relative to his peers.
Answer:
none of the above
Step-by-step explanation:
The grocer's revenue will be the product of the number of loaves sold (30-2x) and their price (2.50+0.50x).
Revenue will be positive for values of x between those that make these factors be zero. The number of loaves sold will be zero when ...
... 30 -2x = 0
... 15 -x = 0 . . . . . divide by 2
... x = 15 . . . . . . . add x
The price of each loaf will be zero when ...
... 2.50 +0.50x = 0
... 5 + x = 0 . . . . . . . multiply by 2
... x = -5 . . . . . . . . . . subtract 5
Revenue will be positive for any number of increases greater than -5 and less than 15.
_____
D is the best of the offered choices, but it is incorrect in detail. -5 is a number less than 15, but will give zero revenue.
