Answer:
1. 52
2. 65
3. 68
Step-by-step explanation:
Answer:
Part 1) The lateral area of the cone is 
Part 2) The lateral surface area of the cylinder is 
Part 3) The surface area of the crayon is 
Step-by-step explanation:
Part 1) Find the lateral area of the cone
The lateral area of the cone is equal to

we have


substitute


Part 2) Find the lateral surface area of the cylinder
The lateral area of the cylinder is equal to

we have


substitute


Part 3) Find the surface area of the crayon
The surface area of the crayon is equal to the lateral area of the cone, plus the lateral area of the cylinder, plus the top area of the cylinder plus the bottom base of the crayon
<em>Find the area of the bottom base of the crayon</em>
![A=\pi[r2^{2}-r1^{2}]](https://tex.z-dn.net/?f=A%3D%5Cpi%5Br2%5E%7B2%7D-r1%5E%7B2%7D%5D)
where
r2 is the radius of the cylinder
r1 is the radius of the cone
substitute
![A=\pi[1.5^{2}-1^{2}]](https://tex.z-dn.net/?f=A%3D%5Cpi%5B1.5%5E%7B2%7D-1%5E%7B2%7D%5D)

<em>Find the area of the top base of the cylinder</em>

<em>Find the surface area</em>

(a) I can't help you with using your calculator for this part, but if you have some familiarity with your device you can check your answer with mine.
The mean is simply the sum of all the house costs divided by the number of houses:
(75k + 75k + 150k + 155k + 165k + 203k + 750k + 755k)/8 = 291k
So the population mean is $291,000.
The population standard deviation is the square root of the population variance. To get the variance, you take the sum of all the squared differences between the cost and the mean cost, then divide that sum by the number of houses. That is,
[(75k - 291k)² + (75k - 291k)² + … + (755k - 291k)²]/8 = 581,286k
Note that the variances is measured in square dollars. Then the standard deviation is
√(581,286k) ≈ $762,421.1
(b) The median is just the price in the middle. There were 8 houses sold, so there are 2 "middle" prices. The median is the average of these:
(155k + 165k)/2 = 160k = $160,000
(c) Yes, the mode is the data that shows up most frequently. This happens at the lower end, with $75,000 appearing twice.