Answer:
the balls are larger, or don't pack as tightly
Step-by-step explanation:
The volume by either measure will depend on a couple of factors:
- the volume of the unit used (ball or cube)
- the way the units can be packed
In a rectangular space, such as a box, it may be easier to pack cubes than balls. So, more cubes of the same volume would fit simply because they can be packed closer together.
We aren't told the volume of either the cube or the ball, and we're not told the extent to which the packing is optimized.
Fewer balls may fit because their packing is not as well optimized as that of the cubes, or because each has a larger volume than the cube being used.
1. See the attached graph.
2. All translations are considered rigid motion. The locations of points on the figure do not change relative to one another.
Answer:


Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Middle 85%.
Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925
Above the interval (8,14)
This means that when Z has a pvalue of 0.075, X = 8. So when
. So




Also, when X = 14, Z has a pvalue of 0.925, so when 




Replacing in the first equation





Standard deviation:




Answer:
B. 21
Step-by-step explanation:
The fractions are there to just make the problem seem complicated, but just rewrite it without the fractions.
"What is a common multiple for 7 and 3?"
In this problem it's easy, all you have to do is guess and check.
A: A doesn't work. 7 is not a factor of 18.
B: B works! Both 3 and 7 are factors of 21.
C: C doesn't work. 7 is not a factor of 3.
D: D doesn't work. Neither are a factor of 4.
They only leave us with one solution, B.
276.46 is the surface area of the cylinder