Answer:
The correct answer is "
". A further solution is provided below.
Step-by-step explanation:
According to the question,
The probability of getting a 5 will be:
= 
= 
The probability of getting a 7 will be:
= 
= 
The probability of not a 5 nor a 7 will be:
= ![1-[\frac{4}{36} +\frac{4}{36} ]](https://tex.z-dn.net/?f=1-%5B%5Cfrac%7B4%7D%7B36%7D%20%2B%5Cfrac%7B4%7D%7B36%7D%20%5D)
= 
= 
Now,
For roll of 2 dice,
⇒ 
![=\frac{1}{9} [1+\frac{13}{18} +\frac{13^2}{18^2} +\frac{13^3}{18^3} +...]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B9%7D%20%5B1%2B%5Cfrac%7B13%7D%7B18%7D%20%2B%5Cfrac%7B13%5E2%7D%7B18%5E2%7D%20%2B%5Cfrac%7B13%5E3%7D%7B18%5E3%7D%20%2B...%5D)
![=\frac{1}{9} [\frac{1}{1-\frac{13}{18} } ]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B9%7D%20%5B%5Cfrac%7B1%7D%7B1-%5Cfrac%7B13%7D%7B18%7D%20%7D%20%5D)
![=\frac{1}{9} [{\frac{1}{\frac{5}{8} } ]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B9%7D%20%5B%7B%5Cfrac%7B1%7D%7B%5Cfrac%7B5%7D%7B8%7D%20%7D%20%5D)
Answer:
The answer is H.
Step-by-step explanation:
You have to apply mid point formula :
It equals 22.............
Answer:
x=16
Step-by-step explanation:
You can write three equations in the numbers of nickels (n), dime (d), and quarters (q).
n + d + q = 23 . . . . . . . there are 23 coins total
0n +d -q = 2 . . . . . . . . .there are 2 more dimes than quarters
5n +10d +25q = 250 . .the total value is $2.50
The collection includes 11 nickels, 7 dimes, and 5 quarters.
_____
I used the matrix function of my calculator to solve these equations. You can find q by subtracting from the last equation five times the sum of the first two equations.
(5n +10d +25q) -5((n +d +q) +(d -q)) = (250) -5(23 +2)
25q = 125 . . . . . . . simplify
q = 5
From the second equation,
d = q +2 = 7
And from the first,
n = 23 -5 -7 = 11
