Answer:
reflection
Step-by-step explanation:
The equation of the line through (-4, -5) parallel to 3x-4y=-8 can be written as
3(x-(-4)) - 4(y-(-5)) = 0
3x -4y - 8 = 0
3x - 4y = 8
Answer:
1 / 962598
Step-by-step explanation:
Let S be the sample space
total number of possible outcomes = n(S)
Let E be the event
total number of favorable outcomes = n(E)
Compute the number of ways to select 5 numbers from 0 through 42:
Total numbers to choose from = 43
So
Total number of ways to select 5 numbers from 43
= n(S) = 43C5
= 43! / 5! ( 43-5)!
= 43! / 5! 38!
= 43*42*41*40*39*38! / (5*4*3*2*1)*38!
= 115511760/120
n(S) = 962598
Hence there are 962598 ways to select 5 numbers from 43
Compute the probability of being a Big Winner
In order to be a Big Winner all 5 of the 5 winning balls are to be chosen and there is only one way you can for this event to occur. So
n(E) = 1
Here E is to be a Big Winner
So probability of being a Big Winner = P(E)
= n(E) / n(S)
= 1 / 962598
Hence
P(being a Big Winner) = P(E) = 1 / 962598
Answer:
C. 5/8
Step-by-step explanation:
Use the slope formula!
m = (y2 - y1)/(x2 - x1)
Point 1: (-2, -3)
Point 2: (6, 2)
m = (2 - (-3))/(6-(-2))
m = 5/8
