Answer:
55 dollars
Step-by-step explanation:
y = total cost, x = number of sessions attended
Non-members equation: y = 5x
Members equation: y = 3x + 25
y = 3(10) + 25
y = 30 + 25
y = 55 dollars
Hope this helps!
Answer:
f(6)=50
Step-by-step explanation:
f(6)=8(6)+2
f(6)=48+2
f(6)=50
Answer:
a) ![6.04661760*10^8](https://tex.z-dn.net/?f=6.04661760%2A10%5E8)
b) 0.27778
Step-by-step explanation:
a)
There are 26 lowercase letters and 10 digits.
The character that must be a digit can be generated in 10 different ways and the others, in 26+10=36 different ways.
Since the password is 6 characters long, by the Fundamental Rule of Counting there are
10*36*36*36*36*36 = 604,661,760
In scientific notation this number can be expressed as
b)
By the <em>Fundamental Rule of Counting</em>, there would be
different combinations of 6 characters, but only the number computed in a) are valid combinations, so the probability of generating a valid password is
![\displaystyle\frac{10*36^5}{36^6}=\displaystyle\frac{10}{36}=0.27778](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B10%2A36%5E5%7D%7B36%5E6%7D%3D%5Cdisplaystyle%5Cfrac%7B10%7D%7B36%7D%3D0.27778)
The answer is 1/3 because of rise over run