Answer:
V = 288 pi
Step-by-step explanation:
V=4/3 pi r^3
r = 6 Substitute
V = 4/3 * pi * 6 * 6 * 6 Divide 3 into one of the sixs leaving 2
V = 4 pi * 2 * 6 * 6 Combine
V = 288 pi
Answer:
A. 0.0001
Step-by-step explanation:
z-statistic:
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 p-value, we get the probability that the value of the measure is greater than X.
In this question:
The value of the z-statistic is z = 3.74.
The desired probability is 1 subtracted by the pvalue of z = 3.74.
z = 3.74 has a pvalue of 0.9999
Then
1 - 0.9999 = 0.0001.
So the correct answer is given by option A.
We must solve for x. Let's simplify this equation by dividing both sides by 6:
|2x-14|=7, which is the same as 2|x-7|=7.
First, assume that x-7 is already positive, so that we don't need the absolute value operator. Then x-7=7/2. Adding 7 to both sides results in x = 21/2.
Next, find the other solution:
Assume that x-7 is negative. Then |x-7|=-(x-7). Then -(x-7) = 7,
and -x + 7 = 7. Thus, x = 0.
The solution set is {0, 21/2}.
