Answer:
The first time you pick a three the probability is 
but if you already pick a three then the probability of you picking a 3 again is 0 because you only have one 3.
Answer:
The crop yield decreased by 0.09 pounds per acre from year 1 to year 10
Step-by-step explanation:
The function that models the crops in pounds per acre over x years is
In year 1, the crop yield is 
In year 10, the crop yield is 
The average rate of change from year 1 to year 10 is given by:
We substitute the values to get:
Since the average rate of change is positive, the crop yield decreased by 0.09 pounds per acre from year 1 to year 10.
Answer:
41.6 yd³
Step-by-step explanation:
Volume = lwh
Volume = (2 yd)(4 yd )(5.2 yd) = 41.6 yd³
Answer:
Fair game
Step-by-step explanation:
Let us find the sample space. It is the sum of the two spins
1+1 1+2 1+3 1+4 1+5 1+6
2+1 2+2 2+3 2+4 2+5 2+6
3+1 3+2 3+3 3+4 3+5 3+6
4+1 4+2 4+3 4+4 4+5 4+6
5+1 5+2 5+3 5+4 5+5 5+6
6+1 6+2 6+3 6+4 6+5 6+6
Adding
2,3,4,5,6,7
3,4,5,6,7,8
4,5,6,7,8,9
5,6,7,8,9,10
6,7,8,9,10,11
7,8,9,10,11,12
P(2) = 1/36
p(3) = 2/36
p(4) = 3/36
p(5) = 4/36
p(6) = 5/36
p(7) = 6/36
p(8) = 5/36
p(9) = 4/36
p(10) = 3/36
p(11) = 2/36
p(12) = 1/36
Player A wins if the sum is even
P(2,4,6,8,10,12) = P(2)+P(4)+P(6)+P(8)+P(10) + P (12) because the events are independent
= 1/36 + 3/36+5/36+5/36+3/36 +1/36= 18/36 = 1/2
Player B wins if the sum is odd
P(3,5,7,9,11) = P(3)+P(5)+P(7)+P(9)+p(11) because the events are independent
= 2/36 + 4/36+6/36 +4/36+2/36= 18/36 = 1/2
The probabilities are the same, so this is a fair game
