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
Wanna show a picture first
Answer:
$564
Step-by-step explanation:
6% of 600 is 36
So 600-36= $564
Answer: C. 13 + 8x = 45
Step-by-step explanation:
She already has 13 dollars. This would be the b-value in the equation, thus eliminating options A and B because those two feature 13 as the m value.
She earns $8 per hour. Let x = number of hours walking dogs.
Since 8 is the slope, it would be attached to x, thus either C or D would be the correct response
Since Grace is adding 8 dollars per hour, not subtracting, D is incorrect, leaving C to be the correct answer.
slope (m ) =
, y - 1 =
( x - 2)
The equation of a line in ' point- slope form 'is
y - b = m (x - a)( m is the slope and (a , b ) a point on the line )
To calculate m use the ' gradient formula'
m = (y₂ - y₁ )/(x₂ - x₁ )
let (x₁, y₁ ) = (2 , 1) and (x₂, y₂ ) = (14 , 31) ← values chosen from table
m = (31 - 1 )/(14 - 2 ) =
= 
equation in point- slope form using m =
and (a,b )= (2 , 1)
y - 1 =
( x - 2)