Answer:
Step-by-step explanation:
To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.
(I use the notation x|y to denote that x divides y)
(A)

(B)

In this case, it is easier to also factor the divisor to primes:

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

Answer:
Top 3%: 4.934 cm
Bottom 3%: 4.746 cm
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this problem, we have that:

Top 3%
Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.




Bottom 3%
Value of Z when Z has a pvalue of 0.03. So X when Z = -1.88.




Answer:
D
Step-by-step explanation:
I hope this is correct!
The answer to this question is:
y = -2x - 1