Answer:
a. 8
b. 12(n -2)
c. 6(n -2)^2
d. (n -2)^3
Step-by-step explanation:
A cube has 8 vertices (corners), 12 edges, and 6 faces.
a. Three faces will be painted on each of the 8 corner cubes.
__
b. Two faces will be painted on the edge cubes that are not corner cubes. For an n-inch edge, n-2 inches of it are not part of the corner cubes. Two faces will be painted on 12(n -2) edge cubes.
__
c. One face will be painted on each face cube that is not part of an edge or a corner. For a face of dimensions n inches square, the cubes of interest comprise a square that is n-2 inches on a side. There are 6 such faces of the larger cube. One face will be painted on 6(n -2)^2 face cubes.
__
d. The cubes internal to the larger cube that are not part of any face, edge, or corner make up a cube that is (n -2)^3 smaller cubes. This is the number with no paint.
__
e. Of course the total number of cubes with or without paint is n^3. This is the sum of the cubes in each category:
(((n -2) +6)(n -2) +12)(n -2) +8 = ((n +4)(n -2) +12)(n -2) +8
= (n^2 +2n +4)(n -2) +8
= n^3 +2n^2 -2n^2 +4n -4n -8 +8
= n^3
Answer:
1:65
$65/per pair
Step-by-step explanation:
$195 ÷ 3 = $65/per pair
ratio is 1:65
Answer: 11.3 minutes
Step-by-step explanation: <u>Exponential</u> <u>Distribution</u> is a distribution with function of the form:
often related to an amount of time until an event occur.
The greek letter λ is decay parameter and have a relationship with the mean:
and x is the amount of time
Probability in exponential distribution is given by
<u>Percentile</u> is a value below which a percentage of the data falls.
For the waiting line in a Piggly Wiggly checkout, 80th percentile will be
h = 11.3
<u>The 80th percentile of waiting times is </u><u>11.3 minutes.</u>
99% is my guess because there are 2 white golf balls and the rest are yellow. i am just thinking logically.