x*5 - quarter amount
(x+15)*25- nickels amount
(x*5)+((x+15)*25)=735
5x+25x+375=735
30x=735-375
30x=360
x=360/30=12 - number of nickels
x+15=12+15=27 - number of quarters
CHECK
12*5=60 ¢
27*25=675 ¢
675+60=735 ¢ or $7.35
The total combinations of 5 numbers that can be made from
59 numbers is:
59C5 = 5,006,386
So the probability of winning is:
P = 1 / 5,006,386
P = 1.997 x 10^-7
So the expected payoff is:
P = $1,000,000 (1.997 x 10^-7) - $1 (1 - 1.997 x 10^-7)
<span>P = - $0.80 (loss)</span>
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</span>
<span>D</span>
Answer:
35 ways
Step-by-step explanation:
Seven juniors to choose three from
7 C 3 = 7! / ( 4! 3!) = 35
He walked 3/8 of a mile this weekend. You multiply the numerator in 3/4 by the numerator in one half, and get a numerator of 3. You multiply the denominator of 3/4 by the denominator of 1/2, and get a denominator of 8
Answer:
Step-by-step explanation:
Recall the negative angle identity for the sine function:
Then, we can find the value of 
:
Now recall the definition of the tangent function:
Therefore, now that we know the value of , we can solve in this equation for 
