M= 6- -9 / 2- -1 = 6+9 / 2+1 = 15/3 = 5
y-6=5(x-2)
y-6=5x-10
y=5x-4
-9=5(-1)-4
-9=-5-4
-9=-9
6=5(2) -4
6=10-4
6=6
Step 1: find the slope using the formula m=y2-y1/x2-x1
Step 2: plug the slope and one point into the point-slope formula and solve to find the equation of the line in y=mx +b form.
Step 3: test both points to see if the equation works.
Answer:
-7
Step-by-step explanation:
Subtract 3 from each term to get the next
3 is 6 less than its square.
3^2 = 9
9-3 = 6
I hope this helps!
So we are starting out with 30 messages.
If 1/5 of the messages Lily receives are picture messages, then take 1/5 x 30 to find out how many that is.
1/5 x 30 = 30/5 = 6. So Lily receives 6 picture messages.
If 7/8 of the remaining messages are texts, then we need to find the number of remaining messages. If 6 are pictures and she receives 30 overall, then 30 - 6 = 24, the remaining number of messages. Since we know 7/8 of <em>this </em>number is the number of texts Lily received, let's do some more multiplication:
7/8 x 24 = (7 x 24)/8 = 168/8 = 21.
So Lily received 21 text messages, 6 picture messages, and 3 of something else!
The expected value is just the weighted average of how much one ticket wins. To calculate it, we need to find the probabilities of winning each dollar amount, multiply each probability with it's respective dollar amount, then find the sum.
Let's call the winnings from one ticket X:
P(X=30) = 4000/2000000 = 0.002
P(X=800) = 500/2000000 = 0.00025
P(X=1200000) = 1/2000000 = 0.0000005
E(X) = 30*P(X=30) + 800*P(X=800) + 1200000*P(X=1200000) = 0.06 + 0.2 + 0.6 = 0.86
The answer is $0.86
