Answer:
55% or 0.55(as a decimal)
Step-by-step explanation:
40% of their clients buy auto insurance policies = P(A)
30% of their clients buy home insurance policies = P(H)
15% of their clients buy both home and auto insurance policies = P( A ∩ H)
The probability a randomly selected client buys a home or auto insurance policy = P (A ∪ H) is calculated as
P ( A ∪ H) = P(A ) + P ( H ) - P( A ∩ H)
= 40% + 30% - 15 %
= 70% - 15%
= 55%
Therefore, the probability that a randomly selected client buys a home or auto insurance policy is 55% or expressed as decimal = 0.55
Answer:

Step-by-step explanation:

Multiply cos(x) by 1:

Factor out cos(x):

Apply the pythagorean identity (
):

Rewrite
:

Cancel cos(x):

Rewrite:

It would be B. 68
I hope this help!
Answer:
8 or B
Step-by-step explanation:
which is equal to 8
For this case, we must find the lateral area of the pentagonal prism shown in the figure.
By definition:

Where:
: Is the lateral area
: It is the perimeter of the base
h: It's the height
Substituting the values we have:

Answer:
