Given that a parking lot contains 100 cars, k of which happen to be lemons.
This is a conditional probability question.
Let event A be that a car is tested and event B be that a car is lemon.
The probability that a car is lemon is given by

The probability that a car is tested is given by

The probability that a car is lemon and it is tested is given by

For a conditional probability, the probablility of event A given event B is given by:

Therefore, the probability that a car is lemon, given that it is tested is given by.
9514 1404 393
Answer:
A. 53.5cm^2
Step-by-step explanation:
The area of the circle is ...
A = πr²
A = 3.14(5 cm)² = 78.5 cm²
The area of the triangle is ...
A = 1/2bh
A = 1/2(10 cm)(5 cm) = 25 cm²
The shaded area is the difference between the circle area and the triangle area:
shaded = 78.5 cm² -25 cm² = 53.5 cm²
_____
<em>Additional comment</em>
As with many multiple-choice questions, you can simply pick the answer that is not outlandish. The circle will fit into a square that is 10 cm on a side, so its total area is less than 100 cm² (eliminates choice B).
The shaded area is definitely more than 1/4 of that 100 cm² square, so choices C and D are eliminated, too. The only choice that is not unreasonable is choice A.
Answer:
Inequality is 
Solution is C: t > 82
Step-by-step explanation:
Let the number of tickets = t
It is given that the committee earns $4 per ticket. That is, they earn
dollars.
Also, the committee earns $72 from the bake sale.
So, the total income is
dollars.
Since, the dance will cost $400.
So, the total earning must be greater than $400.
Thus, the inequality for the situation is given by,
.
So, on solving, we have,

i.e. 
i.e. t > 82.
Thus, the solution of the inequality is 
Hence, option C is correct.
i think the answer would be 33%