A. How many different selections are possible?
B. What is the probability of winning?
C. If you win, what is your net profit?
D. Find the expected value
Answer :
A. sequence of three digits (from 0 to 9). so 10 numbers.
We know 3 lottery games. So possible selections = 10^3 = 1000
B. Probability of winning = one outcome / total outcomes
P( winning) =
= 0.001
c. Net profit = winning amount - paid amount
= 384.13 - 1.33 = $382.8
D. expected value
E(x) = net profit * winning probability - paid amount * lost probability
E(x) = 382.8 * 0.001 - 1.33 * 0.999 = -0.95
you expect to lose 95 cents per ticket.
Answer:
The area of the sector shown is 4.75 pi
Step-by-step explanation:
First we have to know what fraction of the total circle that part represents
for that we divide 45 by 360
45/360 = 1/8
now we calculate the area of the circle and divide it by 8
a = ( π * 6² ) / 8
a = ( π * 36 ) / 8
a = π * 4.75
a = 4.75 pi
Answer:
87.37
Step-by-step explanation:


Pythagorean Theorem :)
Step-by-step explanation:
2x + 5 = 19; X = 7: Correct
2(7) + 5 = 19
14+5=19
3+x+2-x=16; x=3 : Incorrect
3+3+2-3=16
6+2-3=16
7-3=16
4=16
x+2/5=2; x = 8: incorrect
8+2/5=2
x= 8/5
6 = 2x -8; x = 7: correct
6 = 2(7) -8
6 = 14-8
14 =1/3x+5; x = 18: Incorrect
14 = 18/3+5
14 = 6+5
Answer:
- 3x² + x + 5
Step-by-step explanation:
g(x) + f(x)
= 4x + 5 - 3x² - 3x ← collect like terms
= - 3x² + x + 5