Answer:
The cost per ticket is<u> constant</u>.
Step-by-step explanation:
Given:
It costs $20 for 4 play tickets and $35 for 7 play tickets.
Now, to get whether cost per ticket is constant or not.
So, if the cost per ticket is constant that means the cost of ticket for a play or more is fixed, non-varying and it does not change.
Now, we check it:
4 play tickets costs = $20.
1 play tickets costs = $20 ÷ 4 = $5.
So, 7 play tickets costs = $5 × 7 = $35.
Thus, the cost of ticket for play is not changing and it is constant.
So the cost per ticket is constant.
Therefore, the cost per ticket is constant.
It would last 13.5 weeks because you would make a proportion:
12/16 = x/18 and then cross multiply. You would get 216=16x, then you have to divide both sides by 16 to get x = 13.5
Answer:
18
Step-by-step explanation:
The expected value is the probability times the frequency.
3 = 1/6 × n
n = 18
Note: the use of the word "odds" is very misleading here. Odds are the ratio of number of successes to number of failures:
S / F
Probability is the ratio of number of successes to number of all outcomes:
S / (S + F)
So the probability of rolling a 5 is 1/6. The odds of rolling a 5 is 1/5.
Furthermore, the word "must" is also incorrect. The player didn't <em>have</em> to roll 18 times. They could have rolled three times and gotten a 5 each time. Or they could have rolled 100 times. 18 is simply the most <em>likely </em>number of rolls needed to get three 5's.
