Answer:

Step-by-step explanation:
we know that
The area of the figure is equal to the area of rectangle (figure 1) plus the area of trapezoid (figure 2)
see the attached figure to better understand the problem
The area of the rectangle is

The area of the trapezoid is
](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B%2815-9%29%2B3%29%5D%288-3%29)
=22.5\ cm^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B6%2B3%29%5D%285%29%3D22.5%5C%20cm%5E%7B2%7D)
The area of the figure is

Answer: 5 pack
Step-by-step explanation:
From the question, we are informed that Sebastian bought a 30-pack of mechanical pencils and plans to give his friends an equal number of pencils to the 6 friends.
Therefore, each friend will get:
= 30 / 6
= 5 packs
Answer:
Step-by-step explanation:
V = 1/3 * pi * r^2 * h
d = 12
r = d/2
r = 12/2
r = 6
V = 1/3 * 3.14 * 6^2 * 8
V = 301.44
6.7*6.7 to find the surface area of the base which is 44.89
4*1/2*10.1*6.7 to fix the surface area of all four triangular faces which is 135.34
Plus them together 44.89+135.34 which is 180.23
Answer:
The variance for the number of tasters is 4.2
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they are tasters, or they are not. The probability of a person being a taster is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The variance of the binomial distribution is:

It is known that 70% of the American people are "tasters" with the rest are "non-tasters". Suppose a genetics class of size 20
This means that 
So

The variance for the number of tasters is 4.2