Answer:
A. 200
Step-by-step explanation:
We are looking for the y-value when there is no decrease in price, so when x=0.
At x=0, y=200.
So the answer is A. 200!
Answer:
134.38
This value represents 134.38
Step-by-step explanation:
Find the mean.
950+620+545+810+775+1120+905+775=6500
6500/8=812.5
Subtract the mean of numbers.
950-812.5=137.5
812.5-620=192.5
812.5-545=267.5
812.5-810=2.5
812.5-775=37.5
1120-812.5=307.5
905-812.5=92.5
812.5-775=37.5
Find the mean.
137.5+192.5+267.5+2.5+37.5+307.5+92.5+37.5=1075
1075/8≈134.38
This means that 134.38 is $134.38
Answer:
The expected payment by the customer at the checkout is $9.
Step-by-step explanation:
The amount of the product is given as
Now the expected payment is given as
Here 0.8 x is used in the second integral because of the discount of 20% i.e. the expected price is 80% of the value such that
![\\EP=\int\limits^{10}_{5} {x \frac{50}{x^3}} \, dx +\int\limits^{\infty}_{10} {0.8x \frac{50}{x^3}} \, dx\\\\EP=\int\limits^{10}_{5} {\frac{50}{x^2}} \, dx +\int\limits^{\infty}_{10} {\frac{40}{x^2}} \, dx\\EP=[\frac{50}{-x}]_5^{10} +[\frac{40}{-x}]_{10}^{\infty} \\EP=[\frac{-50}{10}+\frac{50}{5}] +[\frac{-40}{\infty}+\frac{40}{10}]\\\\EP=-5+10+0+4\\EP=9](https://tex.z-dn.net/?f=%5C%5CEP%3D%5Cint%5Climits%5E%7B10%7D_%7B5%7D%20%7Bx%20%5Cfrac%7B50%7D%7Bx%5E3%7D%7D%20%5C%2C%20dx%20%2B%5Cint%5Climits%5E%7B%5Cinfty%7D_%7B10%7D%20%7B0.8x%20%5Cfrac%7B50%7D%7Bx%5E3%7D%7D%20%5C%2C%20dx%5C%5C%5C%5CEP%3D%5Cint%5Climits%5E%7B10%7D_%7B5%7D%20%7B%5Cfrac%7B50%7D%7Bx%5E2%7D%7D%20%5C%2C%20dx%20%2B%5Cint%5Climits%5E%7B%5Cinfty%7D_%7B10%7D%20%7B%5Cfrac%7B40%7D%7Bx%5E2%7D%7D%20%5C%2C%20dx%5C%5CEP%3D%5B%5Cfrac%7B50%7D%7B-x%7D%5D_5%5E%7B10%7D%20%2B%5B%5Cfrac%7B40%7D%7B-x%7D%5D_%7B10%7D%5E%7B%5Cinfty%7D%20%5C%5CEP%3D%5B%5Cfrac%7B-50%7D%7B10%7D%2B%5Cfrac%7B50%7D%7B5%7D%5D%20%2B%5B%5Cfrac%7B-40%7D%7B%5Cinfty%7D%2B%5Cfrac%7B40%7D%7B10%7D%5D%5C%5C%5C%5CEP%3D-5%2B10%2B0%2B4%5C%5CEP%3D9)
The expected payment by the customer at the checkout is $9.
Answer:
3/2 =x
Step-by-step explanation:
These two angles are interior angles. They add up to 180 degrees
20x+5 = 24x-1
Subtract 20x from each side
20x-20x+5 = 24x-20x-1
5 = 4x-1
Add 1 to each side
5+1 =4x-1+1
6 =4x
Divide by 4
6/4 = 4x/4
3/2 =x
Answer:
a=39
Step-by-step explanation:
