Answer:
Any integer x can be represent in form of 3k, 3k+1, or 3k + 2 (k is integer).
Case 1: x = 3k => x^2 - 2 = 9k^2 - 2, which will not be divisible by 3
(notice that 2 is not divisibble by 3, but 9k^2)
Case 2: x = 3k + 1 => x^2 - 2 = 9k^2 + 6k + 1 - 2 = 9k^2 + 6k - 1, which will not be divisible by 3
(notice that 1 is not divisibble by 3, but 9k^2 + 6k)
Case 3: x = 3k + 2 => x^2 - 2 = 9k^2 + 12k + 4 - 2 = 9k^2 + 12k - 2, which will not be divisible by 3
(notice that 2 is not divisibble by 3, but 9k^2 + 12k)
=> x^2 - 2 will never be divisible by 3
Hope this helps!
:)
<em>Answer</em><em>:</em>
the answer to your question is 3
Answer:
The slope of the line that passes through (-2, 7) and (4, 9) is 1/3.
Step-by-step explanation:
m = (y2 - y1)/(x2 - x1)
Substituting the values
m = (9 - 7)/(4 + 2)
So we get,
m = 2/6
m = 1/3
Answer:
a) 95% of the widget weights lie between 29 and 57 ounces.
b) What percentage of the widget weights lie between 12 and 57 ounces? about 97.5%
c) What percentage of the widget weights lie above 30? about 97.5%
Step-by-step explanation:
The empirical rule for a mean of 43 and a standard deviation of 7 is shown below.
a) 29 represents two standard deviations below the mean, and 57 represents two standard deviations above the mean, so, 95% of the widget weights lie between 29 and 57 ounces.
b) 22 represents three standard deviations below the mean, and the percentage of the widget weights below 22 is only 0.15%. We can say that the percentage of widget weights below 12 is about 0. Equivalently we can say that the percentage of widget weights between 12 an 43 is about 50% and the percentage of widget weights between 43 and 57 is 47.5%. Therefore, the percentage of the widget weights that lie between 12 and 57 ounces is about 97.5%
c) The percentage of widget weights that lie above 29 is 47.5% + 50% = 97.5%. We can consider that the percentage of the widget weights that lie above 30 is about 97.5%
1 volunteer - 4 h - 48 calls
12 volunteers - 4 h - x calls
The time is the same, so it's irrelevant.
1 volunteer - 48 calls
12 volunteers - x calls
x=12*48=576
So it's 576 hours.