Answer: D
Step-by-step explanation:
All would add up to 241 instead of 2.41 because you are not using decimals for the constants (Example: 25q not .25q)
Answer:
1/3
Step-by-step explanation:
Lets start with the red ball because it is easier. You have 1/10 chances to pick the same number that is drawn randomly. Thus your base probability is .1
Now going to the white balls, you need atleast 2 numbers picked as the numbers drawn. Let's say we pick numbers 1-3. In order to win, the numbers 1 and 2, 2 and 3, 1 and 3, or 1 2 and 3 must be drawn. You can calculate the probability for each of these cases. In the case only 2 are drawn, the probability for each is 0.075. Since there are three cases that this could happen, you multiply this probability by 3, becoming 1/4. However, there is also the chance that you get all three. The probability of this is 3/10*2/9*1/8.
.225 + .1 + 0.008333 = 33.333...% or 1/3
Answer:
524.96 − 32.50 + x ≥ 500
Amount need to deposit = $7.54
Step-by-step explanation:
Given:
Amount in checking account = $524.96
Maintain amount = $500
Amount of check = $32.50
Find:
Amount need to deposit
Computation:
Assume, amount need to deposit = x
So,
For avoiding fee
524.96 − 32.50 + x ≥ 500
x = 7.54
Amount need to deposit = $7.54
The function

describes a parabola with vertex = (5, 3).
The graph of the function is attached.
Let F be the father's current age, and E be Evie's current age.
F = E + 36 this is the current relation between the ages
F + 3 = 5(E + 3) this the relationship in 3 year (hence the + 3)
Then solve by substituting one equation into another:
(E + 36) + 3 = 5(E + 3)
E + 39 = 5E + 15
24 = 4E
6 = E
Evie's current age is 6.