Figure this out as though no digits are present. You can choose 8 of the 26 letters and that's it.
26^8 [you can allow repeating letters] = 2.088 * 10^11
The total number of ways that can be chosen with letters and digits intermixed = 36^8
The probability of getting no numbers is 26^8 / 36^8 or (26/36)^8 = 0.07402
So the probability that there were be at least one digit is
1 - 0.07402 = 0.92598
Answer:
The side length is 11 ft
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
121 ft^2 = s^2
Take the square root of each side
sqrt( 121 ft^2) = sqrt(s^2)
11 ft = s
The side length is 11 ft
1,600 vases must be produced and sold to break even.
x($28-$11)=$27,200
Simplify to 17x=27,200
Divide 17x by 17 so it cancels out.
What you do to one side of the equation you have to do to the other.
27,200/17=1,600
x=1,600
Answer:
135
Step-by-step explanation:
(7+3)^2 + (8-1) * 5
Parentheses first
(10)^2 + (7) * 5
Exponents next
100 + 7*5
Multiply
100 + 35
Add
135