1 solution
Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out
a. The events are mutually exclusive, so
b. For the same reason,
Another way to see this is to use the result from part (a), and the inclusion/exclusion principle:
and the right side reduces to 0.
c. Same as (b),
d. Same as (b),
We can also use the distributivity rule for unions and intersections to write
e. If the 
is the complement of 
, then by DeMorgan's law,
Place each triangle in a fraction (side over side), and set each equal to each other.
6/9 = x/15
Isolate the x, cross multiply
6(15) = 9(x)
Simplify.
90 = 9x
Isolate the x, divide 9 from both sides
90/9 = 9x/9
x = 90/9
x = 10
Find the scale factor, find out what number is being multiplied to make the measurements become from one number to the other. Divide one of the larger triangle's sides with the smaller.
15/9 = 1.67 (rounded).
The scale factor is ~1.67
hope this helps
Answer:
1215 cubic inches
Step-by-step explanation:
If the cubes are 9 inches across, then each one has a volume of 9^3=729 cubic inches. If 1/6 of this is taken up by the face, then 5/6 is left over for the cabinet. 5/6*729=607.5 cubic inches for a single speaker, which when multiplied by 2 to get both of them yields 1215 cubic inches, or answer choice D. Hope this helps!
