The slope is 1/4, so only choices B, D, E are worth considering. Only choices D and E have the correct point in the point-slope form.
The appropriate selections are
D. y -4 = (1/4)(x -4)
E. y -6 = (1/4)(x -12)
Y=2x-4
X+2y=10
Put y into the x equation
X+2(2x-4) =10
Expand and simplify
X+4x-8=10
5x-8 =10
5x=10+8
5x=18
X=18/5
Insert x into the original equation to get y
Y=2x-4
Y=2(18/5)-4
Y=16/5
Answer:
hypotenuse
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that:
To bet $5 that the outcome is any one of these five possibilities: 0, 00, 1, 2, 3.
Let Y represent the Amount of net profit
Then, Y= {-5, 30}
The probability distribution of Y is:
Y -5 30
P(Y=y)

a) The expected value of X is given by:
![E[Y] =\sum y P(Y=y)= 30*\dfrac{5}{38}-5*\dfrac{33}{38}](https://tex.z-dn.net/?f=E%5BY%5D%20%3D%5Csum%20y%20P%28Y%3Dy%29%3D%2030%2A%5Cdfrac%7B5%7D%7B38%7D-5%2A%5Cdfrac%7B33%7D%7B38%7D)


b)
On a bet of $5 on the number 25 we are expected to loose 24 cents.
While on a $5 bet that the outcome is any one of the numbers 0,00, or 1 we are expected to loose 39 cents.
Hence, $5 bet on the number 27 is better. Because the expected loss is less in this bet