The expected value is calculated by subtracting the expected cost from the anticipated income.
The expected cost is fixed at $5.
The anticipated income arises from the probability associated with each outcome multiplied by its respective reward.
=> For the first prize: probability * prize = (1 / 100) * $ 100 = $1
=> For the second prize: probability * prize = (5 / 100) * $20 = $1
Thus, the expected value comes out to $1 + $1 - $5
This gives us an expected value of - $3
Final answer: - $ 3
Response:
I believe the answer might be either the second or the fourth option.
Apologies if this isn't accurate.
Detailed explanation:
77%
I prefer using ratios and cross multiplication for scenarios like this. Divide the part (1001) by the whole (1300), and set that equal to x percent of 100 percent.
1001/1300 = x/100
100100 = 1300x
x = 77
Got it!
There are 2π radians in a complete circle.
Now, let's calculate the circumference.
5/2π = 60/circumference.
Next, solve for the circumference.
By multiplying both sides by 2π, we have: 5 * circumference = 120π.
Now divide both sides by 5, and we find: circumference = 24π.
Using the formula c = 2πr,
we set 24π = 2πr.
Dividing both sides by 2π gives us r = 12. Thus, the radius measures 12cm.
