Answer:
The probability that they each win six games is 0.225.
Step-by-step explanation:
Given : A computer chess game and a human chess champion are evenly matched. They play twelve games.
To find : The probability that they each win six games?
Solution :
Applying binomial distribution,
Here n=12 and p=0.5
The probability that they each win six games is k=6.
Therefore, The probability that they each win six games is 0.225.
Answer is 82
substitute z for 9
9^2 = 81+ 1= 82
Answer:
The answer to your question is y = 2x + 11
Step-by-step explanation:
Data
Original line y = -(1/2)x + 5
Point (-4, 3)
Process
1.- Get the slope of the new line
- Slope of the original line = -1/2
If the lines are perpendicular, the slopes must be reciprocal
-1/2 reciprocal = 2
2.- Get the equation of the new line
y - y1 = m(x - x1)
y - 3 = 2(x + 4)
- Simplification
y - 3 = 2x + 8
- Solve for y
y = 2x + 8 + 3
y = 2x + 11
Hello LovingAngel!
To find the slope, you can use the formulas
as well as
. I am using the latter to calculate and ensuring my answer with the former.
[Note: (x,y) is the format for ordered pairs]
First pair: value 1:(1,5) and value 2:(2,8)
->
->
or 3.
The slope for (1,5) and (2,8) is 3(/1). Second pair: value 1: (3,1) value 2 (3,-1)
->
->
Slope for the second pair is -2/0Checking work with
1. Slope: 3/1, meaning rise (y) +3 and run (x) +1. (1,5) -> (1+1,5 + 3) -> (2,8) ✔
2. Slope: -2/0, meaning rise (y) -2/drop (y) 2 and run 0. (3,1) -> (3 + 0, 1 + -2) -> (3,-1) <span>✔</span>
