A company that manufactures video cameras produces a basic model and a deluxe model. Over the past year, 33% of the cameras sold have been of the basic model. Of those buying the basic model, 48% purchase an extended warranty, whereas 48% of all deluxe purchasers do so. If you learn that a randomly selected purchaser has an extended warranty, how likely is it that he or she has a basic model

33% probability that he or she has a basic model

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

In which

P(B|A) is the probability of event B happening, given that A happened.

is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Has an extended warranty

Event B: Basic model

Probability of an extended warranty:

48% of 33%(basic model)

48% of 100 - 33 = 67%(deluxe model).

So

Intersection:

48% of 33%(basic model with extended warranty).

So

How likely is it that he or she has a basic model

33% probability that he or she has a basic model

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".