The distribution of the diameters of a particular variety of oranges is approximately normal with a standard deviation of 0.3 inch. how does the diameter of an orange at the 67^th percentile compare with the mean diameter?
a) 0.201 inch below the mean
b) 0.132 inch below the mean
c) 0.132 inch above the mean
d) 0.201 inch above the mean
e) 0.440 inch above the mean

The correct answer is C.

Step-by-step explanation:

percentile is represented as the value of probability in the norma distribution.

We look for a z-value with a left-tail of 0.67.

z=0.44

where,

M: mean

SD: standar deviation

x=z×SD+M=0.44×0.3+M=M+0.132

The diameter of an orange at the 67^th percentile is 0.132 inch above the mean.

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.