Answer:

Step-by-step explanation:
If x varies directly as the product of p and m, and inversely with y, the relation can be written ...
x = k(pm)/y . . . . where k is the constant of proportionality
__
This can be solved for k:
k = xy/pm
For the given values, the value of k is ...
k = (2)(4)/((0.5)(2)) = 8
Then the relation between the variables can be written ...
(xy)/(pm) = 8
Answer:
x>4
Step-by-step explanation:
2x>4(3x-5)-20
2x>12x-20-20
2x>12x-40
2x-12x>-40
-10x>-40
x>4
Answer:
2.5
Step-by-step explanation:
you can use pythag theorem and divide c by two:
-3^2+4^2=c^2
9+16= 25
c=5
however, 5/2=2.5
Since we know is a proportionality, namely a multiplier on "x", we can simply use any of those points, say hmmm let's use 10, 15,
Answer:
A. 16%
Step-by-step explanation:
Problems of normally distributed samples 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.
In this problem, we have that:

Which of the following gives the probability that a randomly selected woman has a height of greater than 68 inches?
This is 1 subtracted by the pvalue of Z when X = 68. So



has a pvalue of 0.84.
1 - 0.84 = 0.16
So the correct answer is:
A. 16%