In a large introductory statistics lecture hall, the professor reports that 55% of the students enrolled have never taken a calculus course, 32% have taken only one semes- ter of calculus, and the rest have taken two or more semesters of calculus. the professor randomly assigns students to groups of three to work on a project for the course. what is the probability that the first groupmate you meet has studied some calculus?

There is a 45% probability that the first groupmate you meet has studied some calculus.

Step-by-step explanation:

We have these following percentages:

55% of the students enrolled have never taken a Calculus course

32% have taken only one semester of Calculus

R is the rest, those have taken two or more semesters of Calculus.

The sum of the percentages must be 100, so:

13% have taken two or more semesters of Calculus.

What is the probability that the first groupmate you meet has studied some calculus?

This are those who either have taken only one semester of Calculus, or two or more.

So

32% + 13% = 45%

There is a 45% probability that the first groupmate you meet has studied some calculus.

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get