Answer:
The correct answer is:
(a) Mean = 170,
Standard deviation = 30
(b) 1700
Step-by-step explanation:
Given:
(a)
Mean of monthly expenses will be:
= ![\frac{\mu}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmu%7D%7B2%7D)
= ![\frac{2040}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2040%7D%7B2%7D)
= ![170](https://tex.z-dn.net/?f=170)
Standard deviation will be:
= ![\frac{\sigma}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csigma%7D%7B12%7D)
= ![\frac{360}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B360%7D%7B12%7D)
= ![30](https://tex.z-dn.net/?f=30)
(b)
The total amount of monthly expenses will be:
= ![n\times \frac{\mu}{12}](https://tex.z-dn.net/?f=n%5Ctimes%20%5Cfrac%7B%5Cmu%7D%7B12%7D)
= ![100\times 170](https://tex.z-dn.net/?f=100%5Ctimes%20170)
= ![1700](https://tex.z-dn.net/?f=1700)
Answer:
D/dx(-5x³)=-15x²
Step-by-step explanation:
Answer:
Try CEGI
Step-by-step explanation:
if it's wrong im sorry-
The two sides of the figure in the image are both symmetrical.
Answer:
First Option
Step-by-step explanation:
First, we will find the equation for the total cost of the tickets.
Given x = Cost of 1 adult ticket
y = Cost of 1 Child ticket
Total Cost of tickets at $40:
2x + 4y = 40
To find which graph represent the cost of the tickets,
we can substitute x = 0 to find y and vice-versa.
If x = 0 ,
![2(0) + 4y = 40\\4y = 40\\y = \frac{40}{4} \\= 10](https://tex.z-dn.net/?f=2%280%29%20%2B%204y%20%3D%2040%5C%5C4y%20%3D%2040%5C%5Cy%20%3D%20%5Cfrac%7B40%7D%7B4%7D%20%5C%5C%3D%2010)
So when x = 0 , y = 10 which gives the coordinates (0,10).
Now if y = 0,
![2x+4(0) = 40\\2x = 40\\x = \frac{40}{2} \\= 20](https://tex.z-dn.net/?f=2x%2B4%280%29%20%3D%2040%5C%5C2x%20%3D%2040%5C%5Cx%20%3D%20%5Cfrac%7B40%7D%7B2%7D%20%5C%5C%3D%2020)
So when y = 0 , x = 20 which gives the coordinates (20,0)
This shows that this particular line passes through these 2 points and therefore the answer is the first option.