Answer:
The theoretical probability is 1/2 and the experimental probability is 4/5
If you want them to be closer alike the you would need to do more trials
Answer:
m = -1/2 and b = 6.5
Step-by-step explanation:
To find the slope of the original line segment, we have to do the change in y/the change in x:
(4-8)/(-5--3) = -4/-2 = 2
2 is the slope of the original line segment, but since this is the perpendicular bisector, we have to take the negative reciprocal of 2 so m = -1/2
To find b we substitute the values of x, y, and m into the equation. Let's use the x value of -3 and the y value of 8:
y = mx + b
8 = -1/2(-3) + b
8 = 3/2 + b
6.5 = b
Use the equation for the volume of a cone to solve for the height:
Step 1. Simplify 6 - 4(-x-9)-5 to -4(-x-9) + 1
4 - 5(2x + 11) + 6x = -4(-x-9) + 1
Step 2. Expand
4 - 10x - 55 + 6x = 4x + 36 + 1
Step 3. Simplify 4 - 10x - 55 + 6x to -51 - 4x
-51 - 4x = 4x + 36 + 1
Step 4. Simplify 4x + 36 + 1 to 4x + 37
-51 - 4x = 4x + 37
Step 5. Add 51 to both sides
-4x = 4x + 37 + 51
Step 6. Simplify 4x + 37 + 51 to 4x + 88
-4x = 4x + 88
Step 7. Subtract 4x from both sides
-4x - 4x = 88
Step 8. Simplify -4x - 4x to -8x
x = -88/8
Step 10. Simplify 88/8 to 11
x = -11
