Hello!
there is no specific expected value, but I predict that is is going to be in the negatives.
a player is able to gain a total of 12 dollars, but has a HIGH probability of making less than they spent. If they had to pay $6, they would have a 50/50 chance of making their money back.
so no it is not a fair game either.
I hope this helps, and have a nice day!<span />
Answer:
These lines will be perpendicular when m = ³⁄₂
Step-by-step explanation:
Two lines are perpendicular when the product of their gradients equal to -1. So:
m₁ * m₂ = -1
Let's get the first equation in gradient-intercept form (same as equation two).
2x + 3y = 4
3y = -2x + 4
y = -⅔x + ⁴⁄₃
We know the first gradient, and now we can find the gradient of the second line (which when multiplied will result in -1 as these lines are perpendicular). So:
-⅔ * m₂ = -1
m₂ = ³⁄₂
Answer:
- 12x +9y ≥ 510
- y ≤ 2x
- y ≥ 25
Step-by-step explanation:
Phoebe earns 12x for her yard weeding, and Richie earns 9y for his dog walking. They want the sum of these earnings to be at least 510, so the first constraint inequality is ...
12x +9y ≥ 510
__
Richie plans to walk no more than 2x dogs, since y is the number of dogs he walks, the second constraint is ...
y ≤ 2x
__
Richie will walk at least 25 dogs, so ...
y ≥ 25
Answer:
-6
Step-by-step explanation:
x+56+x+136=180
2x+192=180
-192 -192
2x=-12
/2 /2
x=-6
Answer:
5/4 cups, or 1&1/4 cups
Step-by-step explanation:
You eat 1/4 cups of cereal, and your brother eats 5 times as much. You eat 1 fourth of 1 cup, and he eats 5 times 1 fourth of 1 cup. 1 times 5 is 5, which means he eats 5 fourths of 1 cup of cereal. Since he eats 5 fourths of 1 cup, and four fourths make a 1, he eats 1 cup of cereal, plus another fourth of a cup. Your brother eats 1 and 1 fourth cups of cereal.
1 / 4 x 5 = ( 1 x 5 ) / 4
5 / 4 = ( 4 / 4 ) + ( 1 / 4 )
1 + ( 1 / 4 ) or 1 & ( 1 / 4 )