P(8 or 12) = 1/6
P(not 8 or 12 = 5/6
Let the expected points fro one roll be X.

The answer is -(1/6) points.
Answer:
$180000
Step-by-step explanation:
Let's c be the number of chair and d be the number of desks.
The constraint functions:
- Unit of wood available 4d + 3c <= 2000 or d <= 500 - 0.75c
- Number of chairs being at least twice of desks c >= 2d or d <= 0.5c
c >= 0
d >= 0
The objective function is to maximize the profit function
P (c,d) = 400d + 250c
We draw the 2 constraint functions (500 - 0.75c and 0.5c) on a c-d coordinates (witch c being the horizontal axis and d being the vertical axis) and find the intersection point 0.5c = 500 - 0.75c
1.25c = 500
c = 400 and d = 0.5c = 200 so P(400, 200) = $250*400 + $400*200 = $180,000
The 500 - 0.75c intersect with c-axis at d = 0 and c = 500 / 0.75 = 666 and P(666,0) = 666*250 = $166,500
So based on the available zones in the chart we can conclude that the maximum profit we can get is $180000
Answer: An armistice is a truce, typically used in wars to stop the fighting, battles, etc. Also a holiday in France.
Answer:
6x + 24
Step-by-step explanation:
Using the distributive property (the distributive property of multiplication is a(b + c) = a * b + a * c), we get:
6(x + 4)
= 6 * x + 6 * 4
= 6x + 24
Answer:
y = 5x
D is the correct option.
Step-by-step explanation:
We have been given that sheltie puppy gets 2.5 cups of food twice per day.
It means that in a day she eats 5 cups of food. It means the rate is 5 cups of food per day.
The equation will be linear.
Let y be the number of cups of food she eat and x is the number of days.
Hence, we have
Slope = 5
And the equation that represents the number of cups of food she eats is given by
y = 5x
D is the correct option.