Step-by-step explanation:

Answer:
a) 90.1
b) $35.6
c) 3.0915 hours
Step-by-step explanation:
The z-score measures how many standard deviations a score X is above or below the mean.
It is given by the following formula:

In which
is the mean and
is the standard deviaition.
In all three cases, we have to find X
a. Final exam scores: Allison’s z-score = 2.30, μ = 74, σ = 7.




b. Weekly grocery bill: James’ z-score = –1.45, μ = $53, σ = $12.




Mean and standard deviation in dollars, so the answer also in dollars.
c. Daily video game play time: Eric’s z-score = –0.79, μ = 4.00 hours, σ = 1.15 hours.




Mean and standard deviation in hours, answer in hours.
Answer:
x< -1.8
Step-by-step explanation:
-12x+13>35
We leave the variable alone passing the 13 with opposite sign to the other side and subtracting it from 35.
-12x>22
We divide both by the variable, -12x, and it gives x > -1.8. Since the sign of x changed, we flip the sign and the final result is x < -1.8
Answer:
Raymond was for 29 minutes on the trampoline.
Step-by-step explanation:
We are given the following in the question:
Total cost of session = $43.25
Entrance fee = $7
Cost per minute = $1.25
Let t be the minutes that Raymond was on the trampoline.
Thus, we can write
Total cost =
Entrance fee + cost per mute(minutes that Raymond was on trampoline)

Putting the values, we get,

Thus, Raymond was for 29 minutes on the trampoline.