31. There are C(5, 2) = 10 ways to choose 2 colors from a group of 10 colors if you don't care about the order. (Here, we treat blue background with violet letters as being indistinguishable from violet background with blue letters.)
Only one of those 10 pairs is "B and V", so the probability is 1/10.
a) P(B and V) = 10%
32. The 12 inch dimension on the figure is 0 inches for the cross section. The remaining dimensions of the cross section are
c) 5 in. × 4 in.
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C(n, k) = n!/(k!·(n-k)!)
C(5, 2) = 5!/(2!·3!) = 5·4/(2·1) = 10
Answer:
A. 
Step-by-step explanation:
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Answer:
(8, 10, 12, 14, 16) is the set which describes the set of even integers from 8 to 16
Step-by-step explanation:
To find the set of even integers from 8 to 16 as below :
There are 8,10,12,14,16 even integers in between the numbers 8 and 16
Therefore (8, 10, 12, 14, 16) is the set which describes the set of even integers from 8 to 16
For letter b:
First times 5 on both sides to get rid of the denominator of 5
5 * y
— = 4 * 5
5
Then the answer is
y = 20
For letter c:
First move constants on one side, variables on the other
2g = 17 - 8
Then collect like terms:
2g = 9
Then divide both sides which would equal:
g = 9/2
