I think it would be D, because you would divide the 1/8 be 5, giving you 1/40
Answer: 3/55
Step-by-step explanation:
From the information given, the bag contains 3 red, 3 orange, 1 yellow, 2 purple marbles, and 2 Pink marbles. Each time he picks an orange marble, she will win a prize.
If he picks a marble the first time, the probability of picking an orange marble will be 3/11. After that we will have 10 marbles left as one has been picked and have 2 orange marbles left, then the probability of picking another orange marble will be 2/10.
Therefore, the probability he will win a prize on both picks will be:
= 3/11 × 2/10
= 6/110
= 3/55
Answer:
(x) = 2(1/6)^x
Step-by-step explanation:
To easily solve this problem, we can graph each option using a graphing calculator, or any equation plotting tool.
Case 1
f(x) = 2(6)^x
Case 2
f(x) = 1/2*(6)^x
Case 3
f(x) = 2(1/6)^x
Case 4
f(x) = 1/2*(1/6)^x
By looking at the pictures below, we can tell that the correct option is
Case 3
f(x) = 2(1/6)^x
Since the stretch is done by a factor of 2
Answer: x = -54
Step-by-step explanation:
Simplifying
(2x) = (4x + 108)
Reorder the terms:
(2x) = (108 + 4x)
Remove parenthesis around (108 + 4x)
(2x) = 108 + 4x
Solving
(2x) = 108 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
(2x) + -4x = 108 + 4x + -4x
Combine like terms: (2x) + -4x = -2x
-2x = 108 + 4x + -4x
Combine like terms: 4x + -4x = 0
-2x = 108 + 0
-2x = 108
Divide each side by '-2'.
x = -54
