(3x^4)^2 = (3^2)*(x^4)^2 = 9*(x^(4*2)) = 9*x^8 . . . . . the 3rd selection
We have the following fractional expression:
12
-------- is the same as
12^3
12^1
-------
12^3
We want to simplify this expression. To do so, we need the formula for exponents as follows:
x^a / x^b = x^(a-b).
In this particular problem we have
12^1 / 12^3, and know by this formula that the correct result is 12^(1-3), or 12^(-2), which is equivalent to 1 / 144.
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:the volume formula is in the reference sheet.
Step-by-step explanation:
Step-by-step explanation:
area of circle - pie x r x r
22/7 x 7/2 x 7/2 ( 7 as diameter because it's straight line passing through centre)
77/2 is the sq inches
