The answer is 95 degrees because it is a vertical angle. This is actually a lot easier than it looks. Hope this helped.
Answer:a) P(8 of the players numbers are drawn)=1.3×10^-8
b) P(7 of the players number are drrawn)=3.33×10^-c) P(at least 6 of the players number were drawn)=1.84×10^-4
Step-by-step explanation:
Players has 8 combinations of numbers from 1-40. The outcome S contains all the combinations of 8 out of 40
a) P(8 of the players numbers are drawn)= 1/40/8= 1.3×10^-8
There are one in hundred million chances that the draw numbers are precisely the chosen ones.
b) Number of ways of drawing 78 selected numbers from 1-40=8×(40-7)
8×32
P(7 of the players number are drawn)=8×32/40 =3.33×10^-6.
There are approximately 300,000 chances that 7 of the players numbers are chosen
c) P(at least 6 players numbers are drawn)= 32/2×(8/6) ways to draw.
P(at least 6 players numbers are drawn)=P(all 8 chosen are drawn)+P(7 players numbers drawn)+P(6 chosen are drawn) = 1+ 8 x32/40/8 +[8\6 ×32/2]
P(at least 6 players numbers are drawn) = 1.84×10^-4.
There are approximately 5400chances that at least6 of the numbers drawn are chosen by the player.
Answer:
90 tickets
Step-by-step explanation:
let the number of tickets be x
and the total amount each has be y
For Jessica
the amount is
y=10x--------1
for Laurie the amount is
Note: she has $360 already
y=360+6x-------2
to find the number of the tickets that will make them have the same amount, let us equate 1 and 2
10x=360+6x
10x-6x=360
4x=360
x=360/4
x=90
Answer:
A
Step-by-step explanation:
First, you have to align the like terms next to each other so that it will be easier to combine like terms. (Like terms have the same variables and powers)
Combine like terms:
(When combining like terms all you have to do is add/subtract the coefficients, number in front of variables, and leave the variable and exponents)
So, we get 
