Answer:
45.9 yd^3
Step-by-step explanation:
Volume = ?
h = 6.5
d = 3
Substitute values into the given equation
Answer:
$1.46
Step-by-step explanation:
Required cards for winning :
1's, 2's and 3's
There are 4 cards of each in a total of 52 cards ;
Therefore, number of winning cards ;
(4 * 3) = 12 cards
Hence,
P(winning) = 12 / 52 = 3 / 13
P(not winning) = 1 - 3 /13 = (13 - 3) / 13 = 10/13
Earning (X)
Amount earned for winning = $43
Amount lost for not winning = $11
X ___ $43 ______ - $11
P(X) _ 3/13 _______ 10/13
Expected value, E(X) = ΣX*P(X)
Σ(X) = (43 * 3/13) + (-11 * 10/13)
E(X) = 9.9230769 - 8.4615384
E(X) = 1.4615385
E(X) = $1.46
Answer:
Step-by-step explanation:
Let x represent the number of hours that Justin works in a week.
Let y represent the total amount that Justin would receive for working for x hours.
Justin earns $8 an hour for the first 40 hours he works and $12 for each additional hour. This means that the total amount that he earns in a week would be
y = 8×40 + 12(x - 40)
y = 320 + 12(x - 40)
If he earns 48 hours in a week, the total amount that he earned would be
320 + 12(48 - 40) = $416
Mistake #1: 1/2x was added; it should have been subtracted to get 5.5x
Mistake #2: 5/4 + 5 (20/4) is 25/4, which is 6.25 and not 3.75.
You should get 5.5x = 6.25, and x = 1.36. (not 15/26)