Answer:
a) 0.71
b) 0.06
Step-by-step explanation:
We solve using Baye's Theorem
It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.
We have Two events
A and B
Events A = 88% of senior citizens suffer from sleep disorders
P(A) = 0.88
Event B = 7% suffer from anxiety
P(B) = 0.07
Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.
P(A and B) = 0.05
a)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.
This is calculated as:
P(A and B)/P(B)
= 0.05/0.07
= 0.7142857143
Approximately = 0.71
B) Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.
This is calculated as:
P(A and B)/P(A)
= 0.05/0.88
= 0.0568181818
Approximately = 0.06
Answer:
(a) The product of the sum of a and b and their difference.

(b) The tripled product of 6a and b².

(c) The difference of the squares of 2m and 7n.

The perimeter is all the side lengths added up.
Add up all the side lengths:
6x - 4 + 6x - 4 + 12x + 3 + 12x + 3 + 14x + 13
Add all like terms.
50x + 11
The answer is C) 50x + 11 units
Answer:
It would take alot of time for be to fill everything out so the simple solution is, complementary angles add up to 90 degrees and supplementary add up to 180 degrees. Simply for complementary do 90 - m<1 = m<2, and for supplementary 180 - m<3 = m<4.