Answer:
y - 1 = -3(x - 2)
Step-by-step explanation:
As we move from the point (2, 1) to the point (5, -8), x (the run) increases by 3 and y (the rise) decreases by 9. Thus, the slope of this line is
m = rise / run = -9/3, or m = -3.
Then the equation of the line (in point-slope form) is
y - 1 = -3(x - 2)
Answer:
The expected payout of the game is $230.46.
Step-by-step explanation:
The given table is
Payout Amount : $160 $4400 $145000
Probability : 0.146 0.024 0.0007
We need to find the expected payout of the game.
The formula for expected payout is
![\text{Expected payout}=\sum n_iP(x_i)](https://tex.z-dn.net/?f=%5Ctext%7BExpected%20payout%7D%3D%5Csum%20n_iP%28x_i%29)
where, n is amount and P(x) is probability of that event. The value of n is negative for loss.
Using the above formula we get
![\text{Expected payout}=160\times 0.146+4400\times 0.024+145000\times 0.0007](https://tex.z-dn.net/?f=%5Ctext%7BExpected%20payout%7D%3D160%5Ctimes%200.146%2B4400%5Ctimes%200.024%2B145000%5Ctimes%200.0007)
![\text{Expected payout}=23.36+105.6+101.5](https://tex.z-dn.net/?f=%5Ctext%7BExpected%20payout%7D%3D23.36%2B105.6%2B101.5)
![\text{Expected payout}=230.46](https://tex.z-dn.net/?f=%5Ctext%7BExpected%20payout%7D%3D230.46)
Therefore the expected payout of the game is $230.46.
Answer:
x=24
Step-by-step explanation:
The Quotient(dividing) of a number(x) and 6 minus(-) 3 IS(=) 1.
Which turns into:
- 3 = 1
We want to get x by itself so we divide the entire equation by 6.
6 (
- 3 = 1 )
x - 18 = 6
We want to move the plain numbers to one side so x can be by itself. So we add 18 to both sides.
x = 24
Yes because all equilateral triangles have equal angles and side lengths so they are all similar. hope i helped -J
mean= 4.1
median= 1,2,3,4,5,6
mode= 6
Step-by-step explanation: