The simplified probability would be 12/91.
There are 4 green jelly beans out of a total of 14 jelly beans. The probability for the first bean would be 4/14.
Once the first jelly bean is removed, the probability that the second jelly bean would be red is 6/13 (the denominator decreases by 1 because of the first jelly bean that did not get put back).
Together the probability is (4/14)(6/13) = 24/182, which then simplifies to 12/91.
A = P(1+(r/n))^nt
A = 500(1+(.09/1))^1<span>∗4
A = 500(1.09)^4
A = 705.79</span>
Let r and s represent the number of times Caleb can ride the roller coaster and watch a show, respectively. The time Caleb needs to allow for each roller coaster ride is (wait time) + (ride time) = (30 +5) min = 35 min. Then we can write the equations
r - s = 3
35r +25s ≤ 345
Adding 25 times the first equation to the second, we get
25(r -s) +(35r +25s) ≤ 25(3) +(345)
60r ≤ 420 . . . . . . collect terms
r ≤ 7 . . . . . . . . . . . divide by 60
Caleb can ride a maximum of 7 roller coasters and watch 4 shows in 345 minutes.
_____
The problem can obviously be worked using two equations instead of one equation and an inequality. It isn't clear until the final answer that the number of minutes comes out exactly the amount needed, which is why we chose an inequality.
Answer:
17
Step-by-step explanation:
Always put questions like these with an equal sign
3x + 2 = ?
plug in x value (x = 5)
3(5) + 2 = ?
solve
15 + 2 = ?
answer
17 = ?
