Answer:
1. Shape of line drawn by round ball is: Rectangle
2. Length of path round ball creates is: 64 inches
Step-by-step explanation:
The perimeter of the box is 30+30+14+14 = 88 inches.
We find a rectangle path of the round ball to be interior rectangle shape and measures 64 inches.
The shape of the path is rectangle, this is because when the balls direction from horizontal to vertical is drawn from the central line to the ball - the ball still rotates but such central line stays stationary in a straight line at same distance from edge as it changes direction so therefore it stays perpendicular and creates a rectangle shape. Only an oval ball would draw a line of oval shape due to its central line curving against the perpendicular edge of the rectangle. The round ball cannot create a square shape as the sides of the rectangle when reduced by 6'' + 6'' either side of length 30 = 18 inches and is still longer than the shorter sides of the box being 14'' which becomes 14- 6=8 inches to each side.
2. To find the path length- we look for the difference in width of the central ball first which is 12'' divided by 2 = 12/2 = 6 = 6 inches. We can then deduct this from 14'' and from 30'' then multiply by 2.
Width of one side = 14-6 = 8
= 8 inches
Length of one side = 30-6 = 24
= 24 inches
We add together 8+24 = 32, and then multiply by 2
32 *2 = 64
I think you forgot to square the 6. So V=(pi)*36*10 So when I multiply these numbers together the answer is actually 1,130.4 m³. I hope this helped you!
Answer:
P (S∩E) = 0.1591
Step-by-step explanation:
Let the stockholders be donated by S then the P (s)= 0.43
Let the stockholders having some degree be donated by D then the P (d)= 0.75
Let the American having some college degree be donated by E then the
P (E)= 0.37
As the events are independent their joint probability can be found by multiplying the individual probabilities
P (S∩E) = P(s) . P (E)= 0.43 * 0.37= 0.1591
Answer:
C. 17.156
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal. It can be expressed as a ratio of two integers.
The first answer wouldn't make sense, because there is no number times itself that would equal 15. Therefore, it would be irrational. Same goes with the last option.
We can also automatically rule out the second option because it is a nonterminating decimal.
