Will's test had more questions
Answer:
81.8%
Step-by-step explanation:
Mean = 
Standard deviation = 
Now we are supposed to find out what percent of the numbers fall between 35 and 50

Substitute the values

Now for P(35<x<50)
Substitute x = 35


Substitute x = 50


So, P(-1<z<2)
P(z<2)-P(z<-1)
=0.9772-0.1587
=0.8185
= 
=81.8%
Hence 81.8% percent of the numbers fall between 35 and 50
We write an inequality:



This equation cannot be solved using trivial methods found in high-school classes, so we resort to graphical examination.

is a linear function while

is an exponential one (with limit zero as

approaches

). We see that

at approximately

and

.
Indeed, using a computer algebra system such as the ones on modern TI calculators and on many internet sites gives equality at

. By observing our graph, we see that

when

or

.