Answer:
Probability that a gym member does not take weight-loss medication = 0.63
Step-by-step explanation:
Let E be the event of choosing a gym member who drank protein shakes and W be the event of choosing a gym member who took weight loss medication.
Probability that a gym member drank protein shakes = P(E) = 0.9
Probability that a gym member does not drink protein shakes = P(not E) = 0.1
E and W are independent events.
By using Bayes Theorem, P(E and W) = P(E)*P(W)
Probability that a gym member drank protein shakes and took weight loss medication = P(E and W) = 0.3*0.9 = 0.27
Probability that a gym member took weight-loss medication = P(W) = 0.1 + 0.27 = 0.37
(10% of members who did not drink protein shakes took weight-loss medication)
Therefore, Probability that a gym member does not take weight loss medication = P(not W) = 1 - 0.37 = 0.63
I thinks its the bottom one
Answer:
Step-by-step explanation:
(f ° g)(18) is another way of writing f(g(18)) which is telling you to evaluate function g at an x value of 18, then take that answer and plug it in for x in the function. Like this:
g(18) = 18 - 9 so
g(18) = 9. Now take that 9 and plug it into the f function in place of x:
f(9) = -8(9) + 8 and
f(9) = -72 + 8 so
f(9) = -64
Answer:
Step-by-step explanation:
We are asked to find the midpoint of a segment. We essentially calculate the average of the x-coordinates and the y-coordinates using the following formula.
In this formula, (x₁ , y₁) and (x₂ , y₂) are the endpoints of the segment. For this problem, the 2 endpoints are (-12, 12) and (-6, -1). If we match the variable and the corresponding value, we see that:
- x₁= -12
- y₁= 12
- x₂ = -6
- y₂ = -1
Substitute the values into the formula.
Solve the numerators.
- -12 + -6 = -12 -6 = -18
- 12 + -1 = 12-1 = 11
Divide.
The midpoint of the segment is .
Hey there! :)
2 × (3(5 + 2) - 1)
Start out by working from inside the parenthesis.
2 × (3(7) - 1)
Simplify.
2 × (21 - 1)
Simplify.
2 × (20)
Simplify.
40
~Hope I helped!~