Step-by-step explanation:
4x-3x/2+1)-10(2x+1/4x-3)=3
4x-3x/2+1-20x+5/2x-3=3
collect like terms
4x-20x-3x/2+5x/2=3-1+3
-17x=5
-17x/17=5/-17=-0.3
Answer:
Each friend would get 100000000
Step-by-step explanation:
1000000000 ÷ 10 = 100000000
Answer:
Expected value of raffle = $-0.67
Step-by-step explanation:
Number of tickets sold = 5,000
Selling price of each ticket = $1
1 prize = $500
3 prizes = $300
5 prize = $30
20 prizes = $5
The value of each ticket is given by
value = $500*(1/5000) + $300*(3/5000) + $30*(5/5000 + $5*(20/5000)
value = $0.1 + $0.18 + $0.03 + $0.02
value = $0.33
The expected value is
Expected value = value - selling price
Expected value = $0.33 - $1
Expected value = -$0.67
Therefore, the expected value of this raffle is -$0.67 if you buy 1 ticket.
The negative sign means that you are most likely to lose $0.67 if you buy a raffle ticket for $1.
Answer:
Step-by-step explanation:
4/3pi r3=900
pi r3= 675
r3=675*7/22
r3=214
r is about 6 so d=2r=12
Answer:
(x, y ) = (3, 14 )
Step-by-step explanation:
since both equations express y in terms of x, equate the right sides
7x - 7 = 6x - 4 ( subtract 6x from both sides )
x - 7 = - 4 ( add 7 to both sides )
x = 3
substitute x = 3 into either of the 2 equations for y
using y = 6x - 4 = (6 × 3 ) - 4 = 18 - 4 = 14
solution is (3, 14 )