Outcome Bag of Gold Magic Wand
Relative frequency 0.32 0.68
The relative frequency of getting a bag of gold is .......... reasonably close
.32 is close to 30% so
Alison's claim about the theoretical probability is likely to be 2............true
Further, this means that the theoretical probability of getting a magic wand is most likely 3............1 - 30% = 70%
It takes 8 hours to drive to Joliet, and that's 6 hours more than half the time it takes to drive to Davenport. So, I did 8-6 which equals 2. So 2 hours is half the time it takes to get to Davenport, which means it takes 4 hours to get to Davenport.
Answer:

Step-by-step explanation:
we know that
If the three points are collinear
then

we have
A (1, 2/3), B (x, -4/5), and C (-1/2, 4)
The formula to calculate the slope between two points is equal to

step 1
Find the slope AB
we have

substitute in the formula



step 2
Find the slope AC
we have

substitute in the formula



step 3
Equate the slopes


solve for x





simplify

Answer:
61
Step-by-step explanation:
(x2-x1)2 + (y2-y1)2
(5-0)2 + (-3-3)2
25+36= 61
square root of 61