The scatter plot shows the number of chin ups and push ups completed by a sample of fourth grade students.
what is the median number of chin-ups for all students?
a. 4.5
b. 5
c. 6.5
d. 7

B. 5

Step-by-step explanation:

The given  scatter plot shows the number of chin ups and push ups completed by a sample of fourth grade students.

From the given scatter plot, we have points from 1 to 9.

The middle most number between 1 and 9 is 5.

Therefore, Median number of chin-ups for all students = 5.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

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