Answer: SoftDrink should introduce the new diet soda.
Step-by-step explanation:
Denote:
![P_1 = P(Sales = 100.000.000) = \frac{1}{3}; \pi_1 = 100,000,000](https://tex.z-dn.net/?f=P_1%20%3D%20P%28Sales%20%3D%20100.000.000%29%20%3D%20%5Cfrac%7B1%7D%7B3%7D%3B%20%5Cpi_1%20%3D%20100%2C000%2C000)
![P_2 = P(Sales = 50,000,000) = \frac{1}{2}; \pi_2 = 200,000](https://tex.z-dn.net/?f=P_2%20%3D%20P%28Sales%20%3D%2050%2C000%2C000%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%3B%20%5Cpi_2%20%3D%20200%2C000)
![P_3 = P(Sales = 1,000,000) = \frac{1}{6}; \pi_2 = -2,000,000](https://tex.z-dn.net/?f=P_3%20%3D%20P%28Sales%20%3D%201%2C000%2C000%29%20%3D%20%5Cfrac%7B1%7D%7B6%7D%3B%20%5Cpi_2%20%3D%20-2%2C000%2C000)
whereby
are the probability of occurence and the corresponding profit for each scenario.
As such, the expected profit can be calculated as follows:
![E(\pi)=\sum_{i=1}^{3}P_i\pi_i = P_1\pi_1 + P_2\pi_2 + P_3\pi_3 = 100,000](https://tex.z-dn.net/?f=E%28%5Cpi%29%3D%5Csum_%7Bi%3D1%7D%5E%7B3%7DP_i%5Cpi_i%20%3D%20P_1%5Cpi_1%20%2B%20P_2%5Cpi_2%20%2B%20P_3%5Cpi_3%20%3D%20100%2C000)
The new product is expected to make a profit, therefore, it should be introduced.
Answer: X=18
Step by Step:
2−10+x=6−8+12
Step 1: Simplify both sides of the equation.
2−10+x=6−8+12
2+−10+x=6+−8+12
(x)+(2+−10)=(6+−8+12)(Combine Like Terms)
x+−8=10
x−8=10
Step 2: Add 8 to both sides.
x−8+8=10+8
x=18
Answer:
2
Step-by-step explanation:
Step 1:
- 21w + 9 + 8w = - 5w - 5
Step 2:
- 13w + 9 = - 5w - 5
Step 3:
- 7w + 9 = - 5
Step 4:
- 7w = - 14
Step 5:
14 = 7w
Answer:
w = 2
Hope This Helps :)
Answer:
Step-by-step explanation:
We are given the following in the question:
GF = 37 units
HG = 12 units
FH = 35 units
We have to find the ratio that represents sine of ∠F.
Formula:
![\sin F = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\\sin F = \dfrac{HG}{GF}=\dfrac{12}{37}](https://tex.z-dn.net/?f=%5Csin%20F%20%3D%20%5Cdfrac%7B%5Ctext%7BPerpendicular%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D%5C%5C%5C%5C%5Csin%20F%20%3D%20%5Cdfrac%7BHG%7D%7BGF%7D%3D%5Cdfrac%7B12%7D%7B37%7D)
is the required ratio of sine of ∠F.
The attached image shows the triangle.
Answer:
For 10 tosses we have that E(X)=10
Therefore E(i)= 1/10 +2/10 +3/10....10/10
This implies that 40/10=E(i)
Therefore E(10) =40/10
= 4.