Each book on a certain shelf is labeled by a single category. for every 2 history books, there are 7 fantasy books and for every 3 fantasy books, there are 5 reference books. if the proportion of history to reference books is doubled, while the proportion of fantasy to reference books is maintained, which of the following could be the number of history books if there are fewer than 60 fantasy books on the shelf after the changes? a. 6
b. 21
c. 24
d. 35
e. 36

240

Step-by-step explanation:

Given that each book on a certain shelf is labeled by a single category. For every 2 history books, there are 7 fantasy books and for every 3 fantasy books, there are 5 reference books

Let history, fantasy and reference books be x,y,z

Then x:y =2:7, y:z = 3:5

Or x:y:z =6:21:35

Now when we double x:y we get

x:y = 4:7 while y:z=3:5

we get

x:y:z = 12:21:35

Original fantasy books =

New fantasy books =

Difference = 0.3387-0.3088

=0.299

Approxly 3 is differene equivalent to 60

So  new X =

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet