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
Answer:
y = 3/4x + 1 and 3x - 4y= -4
Step-by-step explanation:
I dont feel like explaining but just trust me bro
Answer:
220 miles
Step-by-step explanation:
65 miles per hour for 2 hours — 65+ 65 = 130
60 miles per hour for 1.5 hours — 60 (for the 1 hour) + 30 (for the half hour) = 90
130 + 90 = 220
Answer:
29.50 degrees to the nearest hundredth.
Step-by-step explanation:
First we can find the measure of < CGB by using the Cosine Rule:
cos <CGB = (11^2 - 5.3^2 - 6.9^2) / (-2 * 5.3 * 6.9)
= -0.61936
So m < CGB = 128.27 degrees.
Now we can find the measure of x by using the Sine Rule:
11 / sin 128.27 = 6.9 / sin x
sin x = 6.9 * sin 128.27 / 11
= 0.49248
x = 29.5035 degrees
