Because the area of a trapezoid is A= ((a+b)/2)h, where a is the length of the top, b is the length of the base, and h is the height, you plug that in to find your answer.
This trapezoid is sideways, but the top of it is 7m (which is a) and the base is 10 m (which is b), add a and b to get 17, A = ((17)/2)h
Now divide by 2 to get A = (8.5)h
Because the height is 9, A = (8.5)9 = 76.5
The area of the trapezoid alone is 76.5m
Part (a) Finding the probability of either A or B
We are told that events A and B are mutually exclusive. This means they cannot happen at the same time. We can say P(A and B) = 0
Furthermore,
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.4 + 0.2 - 0
P(A or B) = 0.6
<h3>Answer: 0.6</h3>
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Part (b) Finding the probability of neither A nor B
P(A or B) + P(neither A nor B) = 1
P(neither A nor B) = 1 - P(A or B)
P(neither A nor B) = 1 - 0.6
P(neither A nor B) = 0.4
The reason why this works is to imagine throwing a dart at the Venn diagram. You'll either...
- you land in A or B (pick one but not both), OR,
- you'll land outside both regions A and B.
One or the other must happen. Both events cannot happen simultaneously.
<h3>Answer: 0.4</h3>
For this case we have that by definition of multiplication of powers of the same base, the same base is placed and the exponents are added:
So, we can rewrite the given expression as:
So, if 
:
Equality is met!
Answer:
The decay factor would be 1 minus the percent of decrease:
1-0.12 = 0.88
Altitude = sqrt [(4sqrt5)^2 - 862 = 4 ft
Perimeter of the trapezoid = 8+4+16+4sqrt5 = 28+4sqrt5
= 36.94 feet to nearest hundredth answer
Area = 1/2 * 4 * (8+16) = 48 ft^2 answer
