Answer:
Step-by-step explanation:
First find the surface area of the clyinder and find the area circles and subtract
Then find the surface area of a cone, remove the circle area and double it.
Clyinder surface area (without circle area) 2πrh+2πr2=2·π·4·6+2·π·42≈251.32741
251.32741 - 50.2 - 50.2
Cone area: A=πr(r+h2+r2)=π·4·(4+32+42)≈113.09734
113.09734 - 50.2 - 50.2
Total: 12.69734 + 150.92741 = 163.62475
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lets distribute 7(x+3)
so 7(x)+7(3)
7x+21 or b
yay :)
The value of K for which f(x) is a valid probability density function is 1/4.
<h3>How to solve for the value of K</h3>
![K[\frac{2^2}{2} -0]+[K[4(4-2)-(\frac{4^2}{2} -\frac{2^2}{2} )]=1](https://tex.z-dn.net/?f=K%5B%5Cfrac%7B2%5E2%7D%7B2%7D%20-0%5D%2B%5BK%5B4%284-2%29-%28%5Cfrac%7B4%5E2%7D%7B2%7D%20-%5Cfrac%7B2%5E2%7D%7B2%7D%20%29%5D%3D1)
open the equation
![K\frac{4}{2}+K[8 - (\frac{16}{2} -\frac{4}{2} )] = 1\\](https://tex.z-dn.net/?f=K%5Cfrac%7B4%7D%7B2%7D%2BK%5B8%20-%20%28%5Cfrac%7B16%7D%7B2%7D%20%20-%5Cfrac%7B4%7D%7B2%7D%20%29%5D%20%3D%201%5C%5C)
![2K+K[\frac{4}{2} ]=1](https://tex.z-dn.net/?f=2K%2BK%5B%5Cfrac%7B4%7D%7B2%7D%20%5D%3D1)
2K + 2K = 1
4K = 1
divide through by 4
K = 1/4
Read more on probability density function here
brainly.com/question/15714810
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Answer:
10 years
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 2%/100 = 0.02 per year,
then, solving our equation
t = 100 / ( 500 × 0.02 ) = 10
t = 10 years
The time required to
accumulate simple interest of $ 100.00
from a principal of $ 500.00
at an interest rate of 2% per year
is 10 years.
Answer:
h < 7
Step-by-step explanation:
-8 < -4h + 20
4h < 28 / : 4
h < 7
