Answer:
a) 1 ( 100% )
b) Co + 46/3 C1
Step-by-step explanation:
Delivery time = Y
Interval = 2 to 6 days
cost incurred ( C ) = Co + C1 Y^2
a) determine the probability that the delivery time exceeds two days
since the delivery time is uniformly distributed on the interval 2 to 6 days the probability of having a delivery time > 2 days will be = 1
b) Determine the expected cost associated with a single failed circuit board
E ( Y^2 ) = 46/3
hence the cost associated with a single failed circuit board =
E ( C ) = Co + 46/3 C1
attached below is a detailed solution
Answer:
63
Step-by-step explanation:
Set up the proportion
(6x+3)/17 = (8x - 1)/21 Cross Multiply
21 * (6x + 3) = 17 (8x - 1) Remove the brackets
126x + 63 = 136x - 17 Subtract 126x from both sides
63 = 136x - 126x - 17 Combine
63 = 10x - 17 Add 17 to both sides
63 + 17 = 10x Combine the left
80 = 10 x Divide by 10
80/10 = x
x = 8
Now you want 8x - 1
8*8 - 1 = 63
Answer: There will enough to paint the outside of a typical spherical water tower.
Step-by-step explanation:
1. Solve for the radius r from the formula for calculate the volume of a sphere. as following:
![V=\frac{4}{3}r^{3}\pi\\\frac{3V}{4\pi}=r^{3}\\r=\sqrt[3]{\frac{3V}{4\pi}}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7Dr%5E%7B3%7D%5Cpi%5C%5C%5Cfrac%7B3V%7D%7B4%5Cpi%7D%3Dr%5E%7B3%7D%5C%5Cr%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%7D)
2. Substitute values:
![r=\sqrt[3]{\frac{3(66,840.28ft^{3})}{4\pi}}=25.17ft](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3%2866%2C840.28ft%5E%7B3%7D%29%7D%7B4%5Cpi%7D%7D%3D25.17ft)
3. Substitute the value of the radius into the equation fo calculate the surface area of a sphere, then you obtain that the surface area of a typical spherical water tower is:
![SA=4r^{2}\pi\\SA=4(25.17ft)^{2} \pi\\SA=7,964.95ft^{2}](https://tex.z-dn.net/?f=SA%3D4r%5E%7B2%7D%5Cpi%5C%5CSA%3D4%2825.17ft%29%5E%7B2%7D%20%5Cpi%5C%5CSA%3D7%2C964.95ft%5E%7B2%7D)
3. If a city has 25 gallons of paint available and one gallon of paint covers 400 square feet of surface area, you must multiply 25 by 400 square feet to know if there will be enough to paint the outside of a typical spherical water tower.
![25*400ft^{2}=10,000ft^{2}](https://tex.z-dn.net/?f=25%2A400ft%5E%7B2%7D%3D10%2C000ft%5E%7B2%7D)
As you can see, there will enough to paint the outside of a typical spherical water tower.
Answer:
x is approximately 11.5
Explanation:
10x - 20 + 7x + 4 = 180
17x - 16 = 180
17x = 196
x is approximately 11.5