Answer:
90
Step-by-step explanation:
x
−
12
y
=
−
210
=
=
−
210
x
−
6
y
=
90
=
=
90
x
=
=
90
Answer:
g(2)=1.5. Which would be three.
Step-by-step explanation:
You would just plug in n=2 into the equation and then divide it out.
Answer:
2(n+1)+2
You start with two greens and two columns of two orange squares while adding two orange squares each time. So, the bolded part is the green squares that stay the same. The 2(n+1) represents the two orange columns that increase by one block on each side per image.
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
Answer:
20%
Step-by-step explanation:
First we find the actual dollar amount of the discount.
$65.50 - $52.40 = $13.10
Now we need to find what percent of $65.50 is $13.10.
To find what percent a part is of the whole, divide the part by the whole and multiply by 100%.
percent = part/whole * 100%
percent = $13.10/$65.50 * 100% = 20%
Answer: 20%