Aaron plumbing and bautista electrical have both made bids in 50 of the same projects over the years. aaron was selected for 20 of those projects. bautista was selected for 15 of the projects, and in 12 of the projects, they both were selected. use a venn dia- gram to answer the following questions: a. in what percentage of the projects was bautista selected, but aaron was not

In 6% of the projects was Bautista selected, but Aaron was not

Step-by-step explanation:

Building the Venn diagram, I am going to say that:

-A is the number of projects that Aaron was selected.

-B is the number of projects that Bautista was selected.

We have that:

In which a is the number of projects that only Aaron was selected and is the number of projects that both were selected.

By the same logic, we also have that:

In what percentage of the projects was Bautista selected, but Aaron was not

There were b projects that Bautista was selected and Aaron not. The total number projects is 50. So this percentage is b/50.

We start finding the values from the intersection.

12 of the projects, they both were selected. This means that

Bautista was selected for 15 of the projects, so

--------

.

In 6% of the projects was Bautista selected, but Aaron was not

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

explanation:

step-by-step explanation: