Answer:
D. 0.1353
B. 0.0473
Step-by-step explanation:
For an exponentially distributed random variable, the cumulative distribution function is:

with parameter λ=2, then P(X≥1) is equal to:

D. 0.1353
with parameter λ=1.5, then P(2≤X≤4) is equal to
B. 0.0473
You could rewrite this as double brackets, as you are multiplying together two sets of two terms. It would then look like:
(8i + 6j)(4i + 5j)
and you can expand by multiplying together all of the terms
8i × 4i = 32i²
8i × 5j = 40ij
6j × 4i = 24ij
6j × 5j = 30j²
To get your final answer, you then just need to add together all of the like terms, and get 32i² + 30j² + 64ij
I hope this helps!
A^2 + 5^2 = 10^2
a^2 + 25 = 100
a^2 = 100-25
a^2 = 75
a = sqrt(75) = 5sqrt(3)
answer is A
Machine C makes 75 candies per minute.
Machine D makes 130 candies per minute.
Difference is 55
55 * 11 minutes = 605 candies.
The answer is (-x^2 - 3x +28)