Abookstore rents books to students for $2 per book. the cost of running the bookstore is $300 per hour. the numbers of books and the probabilities that the bookstore would rent them in an hour mimics the distribution of the outcomes of flipping four coins. the probability of renting a number of books was observed to be the same as the number of heads that appear in a four-coin flip. this distribution is represented in the table.

books rented probability
0 1/16
1 4/16
2 6/16
3 4/16
4 1/16

students usually rent four books a week during exams. the store manager decides to charge a weekly fee of $6 for renting an unlimited number of books. this is a (fair, unfair)decision for the students as they will pay (more than, less than, the same as)they would pay to rent four books.

Fair decision for the students as they will pay less than they would pay to rent four books.

Step-by-step explanation:

the distribution represented in the table as follow:

Books                  RentedProbability

0                             1/16  

1                              4/16

2                              6/16

3                               4/16

4                              1/16

The expected amount spent by the students is given by:

On solving we get,

=$2

Therefore, the amount spent by students is $2

This is a fair less than they would pay to rent four books.

by definition, an arc subtended by a central angle of some given measure has the same measure. so .

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have