Answer: The membership will last for 12 months.
Step-by-step explanation:
Let x represent the number of months that the membership would last.
Cleo wants to join a gym. There is an initiation fee of $24.99, and each month of membership costs $12.50. This means that the total cost of using the gym for x months would be expressed as
12.5x + 24.99
If Cleo pays $174.99, it means that
12.5x + 24.99 = 174.99
12.5x = 174.99 - 24.99
12.5x = 150
x = 150/12.5
x = 12
The question doesn't seem specific enough. If there are options, please list.
The probability is 0.8997.
We will use a z-score to answer this question. z-scores are given by the formula

With our information, we have

Looking this up in a z-table (http://www.z-table.com) we see that the area to the left of this (everything less than, up to this value) is 0.8997.
Y=x. I hope that this helped! Good luck! :)