Answer:
First let's define what modular arithmetic is, what would come is an arithmetic system for equivalence classes of whole numbers called congruence classes.
Now, the modular division is the division in modular arithmetic.
Answering the question, a modular division problem like ordinary arithmetic is not used, division by 0 is undefined. For example, 6/0 is not allowed. In modular arithmetic, not only 6/0 is not allowed, but 6/12 under module 6 is also not allowed. The reason is that 12 is congruent with 0 when the module is 6.
Answer:
D FOR SURE
Step-by-step explanation:
Answer:
a) The probability of sampling at random a fish that is smaller in size than the value you would obtain by subtracting half the standard deviation from the average is 0.3085.
b) The probability of sampling at random a fish that is greater in size than the value you would obtain by adding half the standard deviation from the average is 0.3085.
c) The probability of sampling at random a fish that has a size between the two values is 0.383.
d) The 25th and 75 percentiles of fish size for the population using the normal distribution table is 5.69 and 5.87 respectively.
e) The probability that the average calculated will be less than the value is 0.3707.
Step-by-step explanation:
For the given data set mean 
Standard deviation 
Variance 
Here we get is
a)

b)

c)

d)
25th percentile:-
![= 25*[(n+1)/100]th term \\\\= 5.69](https://tex.z-dn.net/?f=%3D%2025%2A%5B%28n%2B1%29%2F100%5Dth%20term%20%5C%5C%5C%5C%3D%205.69)
75the percentile:-
![= 75*[(n+1)/100]th term\\\\ = 5.87](https://tex.z-dn.net/?f=%3D%2075%2A%5B%28n%2B1%29%2F100%5Dth%20term%5C%5C%5C%5C%20%3D%205.87)
e)


Given that the perimeter is 16ft and width is 5 ft,

Distribute 2:

Take away 10 from both sides:

Evaluate the right hand side:

Divide by 2 on both sides:

Answer:
72 spheres are formed
Step-by-step explanation:
We start by calculating the volume of the metallic cylinder
Mathematically, we have this as;
V = pi * r^2 * h
V = pi * 21 * 14^2
V = 4116 π cm^3
The volume of each small sphere is;
V = 4/3 * pi * r^3
= 4/3 * π * 7/2^3 = 57.167 π cm^3
To get the number of small spheres, we simply divide the volumes
That will be 4116 pi / 57.167 pi = 72