Answer: Our required probability would be 0.70.
Step-by-step explanation:
Since we have given that
Number of players = 14
Number of players have recently taken a performance enhancing drug = 3
Number of players have not recently taken a performance enhancing drug = 14-3=11
Number of members chosen randomly = 5
We need to find the probability that at least one of the tested players is found to have taken a performance enhancing drug.
P(Atleast 1) = 1 - P(none is found to have taken a performance enhancing drug)
So, P(X≥1)=1-P(X=0)

Hence, our required probability would be 0.70.
Answer:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour
Step-by-step explanation:
Given
Represent the rate of the first mechanic with x and the second with y.
So, we have:

The total earnings is: $1850, so we have:

Required
Determine the rate of each
The equations are:
--- (1)
--- (2)
Divide (2) through by 5
--- (3)
Subtract (1) from (3)


Divide through by 2


Substitute 105 for y in (1)

Make x the subject

Substitute 105 for y


Hence:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour
The answer is $41.44.
You take $895× 4.63%= $41.4385.
General formula to make an equation of circle
(x - a)² + (y - b)² = r²
Given:
the center (a,b) = (-1,2)
the radius r = 3
Solution:
plug the numbers to the formula
(x - a)² + (y - b)² = r²
(x - (-1))² + (y - 2)² = 3²
(x + 1)² + (y - 2)² = 9
The answer is the last option