Step-by-step explanation:
Case 1 : |x| > a, => x > a or x < -a
Case 2 : |x| < a, => -a < x < a
Since this question follows Case 1, we will have an "or" inequality.
6 pennies, 12 nickels, 8 dimes, 4 quarters = 30 coins
a) add the probability for drawing a dime and drawing a quarter together:
12/30 + 4/30 = 16/30 = 8/15
The probability is 8/15 or 53%
b) multiply the probability for drawing a penny and drawing a nickel:
6/30 x 12/30 = 72/900 = 2/25
The probability is 2/25 or 8%
c) multiply the probability for drawing quarters but take away one of the total coins and the amount of quarters each time:
4/30 x 3/29 x 2/28 = 24/24360 = 1/1015
The probability is 1/1015 or 0.099%
Answer:
x²-12x+36
Step-by-step explanation:
an expression in the form (a-b)² is expanded to the form a²-2ab+b²
you can also expand it to (x-6)×(x-6) then multiply the first term by the first the outer term by the outer term the inner term by the inner term and the last term by the last term (foil)
the first terms are x and x = x² the outer terms are x and -6 = -6x the inner terms are also x and -6 = -6x
the last terms are 6 and 6 = 36
adding all the four products =
x²-12x+36
Elga’s age is 40 and Alvin’s age is 54
