Using the probability table, it is found that:
- a) There is a 0.25 = 25% probability that this couple spends 45 dollars or more.
- b) The expected amount the couple actually has to pay is $36.85.
Item a:
To find the probabilities involving the total cost, we have to <u>add the variables X and Y</u> from the table, then:





The probability involving <u>values of 45 or more</u> is:

0.25 = 25% probability that this couple spends 45 dollars or more.
Item b:
For a <em>discrete distribution</em>, the expected value is the <u>sum of each outcome multiplied by it's respective probability</u>, hence, involving the 10% discount for prices above $45:
![E(X) = 0.2(30) + 0.3(35) + 0.25(40) + 0.9[0.2(45) + 0.05(50)] = 36.85](https://tex.z-dn.net/?f=E%28X%29%20%3D%200.2%2830%29%20%2B%200.3%2835%29%20%2B%200.25%2840%29%20%2B%200.9%5B0.2%2845%29%20%2B%200.05%2850%29%5D%20%3D%2036.85)
The expected amount the couple actually has to pay is $36.85
A similar problem is given at brainly.com/question/25782059
Answer:
1. Use the distance formula and midpoint formula
2a. Learn the properties of an orthocenter
2b. Write a conjecture and then verify if it's true for acute and right triangles
3. Prove that D is not equidistant from A to C
Step-by-step explanation:
The answer is three significant figures. The 1 and the 7 are both significant, because they are non-zero quantities.
This is where significant figures gets a little more complicated, because if a zero is used as a placeholder (i.e. 0.00027 cm) then it is insignificant.
But in the case above, the zero isn't being used as a placeholder, and thus, is significant.
Step-by-step explanation:
the first step is to find the cost price
when 20% discount=
11250*80/100= 9000
the 20% discounted price is 9000
there is still a 20% profit in this 20% discount
so Cost.Price *120/100=9000
Cost price= 7500
now its asking for discount percentage at 3% profit so first calculate price after 3% profit
7500*103/100= 7725
so discount on rs11250 required to produce 3% profit=
11250*x/100=7725
x= 68.7% discount