This is an arithmetic sequence because a geometric sequence is written out as
a,ar,ar^2,ar^3 and so on.
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
What????? Um I’m so sorry I don’t know
Answer:
(3x - 5)²
Step-by-step explanation:
When we expand (3x - 5)², we get:
(3x - 5) (3x - 5)
When we multiply, we get:
9x² - 30x + 25
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Have a great summer :)
The arcsine,
, is the inverse of the
function. This means that it takes as <em>inputs </em>what would usually be <em>outputs </em>for the
function and produces as <em>outputs </em>what would usually be <em>inputs </em>for the
function.
This can be particularly useful when you're trying to find an angle on a right triangle, but you've only been given the lengths of the sides. To find any angle
in a right triangle, just take
, where o is the side opposite
and h is the hypotenuse of the right triangle.
