Answer:
k = 77/10
Step-by-step explanation:
The jar consist of blue, red and green marbles . The probability of each of them can be described as follows.
probability of blue marbles = 2/7
probability of red marbles = 3/k
probability of green marbles = 5/2k
The sum of the individual probability is equals to 1. Therefore,
2/7 + 3/k + 5/2k = 1
collect like terms
(6 + 5)/2k = 1 - 2/7
11/2k =(7 - 2) /7
11/2k = 5/7
cross multiply
10k = 77
divide both sides by 10
k = 77/10
Answer:
Step-by-step explanation:
We're given both the y-intercept and a point on the graphs of both functions, so our work her is largely just substituting x and y values in the general form of the equation for an exponential function.
For the first one, we can start by using the point (0, 2) to solve for a:
Next, we can use that a-value and the second point to solve for b:
This gives us the equation for the first function.
We can repeat the same process for the second function. Solving for a:
And then for b, using the point (2, 1):
This gives us the general equation
-7+3+6-2-5. = -5. /5. = -1. That means that they lost $1 a day