Answer:
(D)$81
Step-by-step explanation:
Given that the number of purses a vendor sells daily has the probability distribution represented in the table.
Expected Value, 
Therefore:

If each purse sells for $50.00, the number of expected daily total dollar amount taken in by the vendor from the sale of purses
=Expected Value X $50
=1.62 X $50
=$81
The correct option is D.
Answer:
x=11
Step-by-step explanation:
Since the lines in the middle are parallel, we know that both sides are proportional to each other.
6:48 can be simplified to 1:8
Since we know the left side ratio is 1:8, we need to match the right side with the same ratio
We can multiply the ratio by 5 to match 5:3x+7
5:40
5:3x+7
Now we can set up the equation: 40=3x+7
Subtract 7 from both sides
3x=33
x=11
Answer:
0.98 $/cup
Step-by-step explanation:
The final answer asks for price/cup, as "per" means "divided by".
So, our final units will be in $/cup.
We are given that for every 2 gallons, it will cost $31.36.
In order to get from gallons to cups, we need to convert units.
In 1 gallon, there are 16 cups.
So, our conversion factor will be 16 cups/1 gallon.
$/cup
Important things to note:
- With these types of problems, it makes it much easier if you just figure out what units you need in the final answer, and then use conversions and dimensional analysis to get the answer
ANSWER
36√3 square units.
EXPLANATION
The area of a parallelogram is obtained by multiplying the base by the height.
We use the sine ratio to obtain the height.



The area becomes:
