Answer:
(a) 0.42
(b) 0.28
(c) 0.88
Step-by-step explanation:
Let probability that the bank stock will appreciate over a year, P(A) = 0.70
Probability that the electric utility will increase over the same period, P(B) = 0.60
Also, it is given that the two events are independent.
(a) Probability that both stocks appreciate during the period = Bank stock will appreciate * Electric utility will appreciate = P(A) * P(B)
= 0.70 * 0.60 = 0.42 .
(b) Probability that the bank stock appreciates but the utility does not is given by;
P(A) * (1 - P(B)) = 0.70 * (1 - 0.60) = 0.70 * 0.40 = 0.28 .
(c) Probability that at least one of the stocks appreciates = P(A B)
P(A B) = P(A) + P(B) - P(A B)
= 0.70 + 0.60 - (0.70 * 0.60) { because both events are
independent }
= 1.3 - 0.42 = 0.88 .
Answer: m=-5/3
Step-by-step explanation:
The surface area of the triangular prism is 1664 square inches.
Explanation:
Given that the triangular prism has a length of 20 inches and has a triangular face with a base of 24 inches and a height of 16 inches.
The other two sides of the triangle are 20 inches each.
We need to determine the surface area of the triangular prism.
The surface area of the triangular prism can be determined using the formula,
where b is the base, h is the height, p is the perimeter and l is the length
From the given the measurements of b, h, p and l are given by
, , and
Hence, substituting these values in the above formula, we get,
Simplifying the terms, we get,
Adding the terms, we have,
Thus, the surface area of the triangular prism is 1664 square inches.
Answer:
The number is 26
Step-by-step explanation:
number + 10 = 36, then you'd subtract ten from both sides and get :
number = 26
Answer:
4.5 is a rational number, as it can be represented as 9/2. Many important numbers in mathematics, however, are irrational, and cannot be written as ratios.