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:
24cm
Step-by-step explanation:
Question: Find the length of side OR.
Answer + explanation:
24cm
Since PQ = 24 cm, OR = 24 cm because they're paralleled and congruent!
Answer:
If your solving for y...
The answer would be: y = -9/8x + 17/8 I believe.
For the second one... it would be : y = -1/7x + 8/7
Step-by-step explanation:
Step-by-step explanation:
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- Length of a park ( l ) = 55 m
- Breadth of a park ( b ) = 35 m
- Width running outside the park ( d ) = 2.5 m
- Rate of paving the path with stones = Rs 120 per sq.metre
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- Area of the park
- Cosy of paving the path with stones at Rs 130 per sq.metre
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Part 1 : 
plug the known values and simplify :
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Part 2 : 
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Hope I helped ! ♡
Have a wonderful day /night ツ
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Using a right triangle formed by boat with base and top of lighthouse.Note: 15 minutes = 0.25 degreesLet d be distance the boat is from shore.tan(90−13.25)=d/175
d=175∗tan(76.75)=743.2
