Answer:
Number one will be 11 minutes
Number two will be 525 words
Step-by-step explanation:
First, you gotta simplify. There’s really nothing to simplify so just take it out of the parenthesis.
2x-8=2x-4
Now turn the -8 into a +8. Add it on each side.
2x=2x+8
Now turn the 2x on the right into a negative. Do the same thing you did with the 8.
Now it’s:
0 = 8
That means there’s no solution.
Hope this helped :)
Answer:
120
Step-by-step explanation:
30 x 4 = 120
Smart Dot, multiply the cost per hour by number of hours (t) and add to the monthly fee:
C = 0.50t + 12
Communication plus: Multiply the cost per hour by number of hours (t)
C = 2.50t
Answer:
the expected value of this raffle if you buy 1 ticket = -0.65
Step-by-step explanation:
Given that :
Five thousand tickets are sold at $1 each for a charity raffle
Tickets are to be drawn at random and monetary prizes awarded as follows: 1 prize of $500, 3 prizes of $300, 5 prizes of $50, and 20 prizes of $5.
Thus; the amount and the corresponding probability can be computed as:
Amount Probability
$500 -$1 = $499 1/5000
$300 -$1 = $299 3/5000
$50 - $1 = $49 5/5000
$5 - $1 = $4 20/5000
-$1 1- 29/5000 = 4971/5000
The expected value of the raffle if 1 ticket is being bought is as follows:
![E(x) = \sum x * P(x)](https://tex.z-dn.net/?f=E%28x%29%20%3D%20%5Csum%20x%20%20%2A%20P%28x%29)
![E(x) = (499 * \dfrac{1}{5000} + 299 *\dfrac{3}{5000} + 49 *\dfrac{5}{5000} + 4 * \dfrac{20}{5000} + (-1 * \dfrac{4971}{5000} ))](https://tex.z-dn.net/?f=E%28x%29%20%3D%20%28499%20%2A%20%5Cdfrac%7B1%7D%7B5000%7D%20%2B%20299%20%2A%5Cdfrac%7B3%7D%7B5000%7D%20%2B%2049%20%2A%5Cdfrac%7B5%7D%7B5000%7D%20%2B%204%20%2A%20%5Cdfrac%7B20%7D%7B5000%7D%20%20%2B%20%28-1%20%2A%20%5Cdfrac%7B4971%7D%7B5000%7D%20%29%29)
![E(x) = (0.0998 + 0.1794+0.049 + 0.016 + (-0.9942 ))](https://tex.z-dn.net/?f=E%28x%29%20%3D%20%280.0998%20%2B%200.1794%2B0.049%20%2B%200.016%20%20%2B%20%28-0.9942%20%29%29)
![E(x) = (0.3442 -0.9942 )](https://tex.z-dn.net/?f=E%28x%29%20%3D%20%280.3442%20-0.9942%20%29)
![\mathbf{E(x) = -0.65}](https://tex.z-dn.net/?f=%5Cmathbf%7BE%28x%29%20%3D%20-0.65%7D)
Thus; the expected value of this raffle if you buy 1 ticket = -0.65