Find the 84th percentile, P84, from the following data 1 2 4 6 18
22 23 30 32 33
40 44 46 48 49
50 55 56 61 63
71 72 74 77 78
80 81 87 95 100

80.04

Step-by-step explanation:

It is already arranged in ascending order,

N=30

P84=i((N+1)/100)=84(31/100)=26.04 th item

26.04th item=(26+(27-26(0.04))) th item

80+81-80(0.04)=80+0.04=80.04

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.

location: point 0

step-by-step explanation:

well, -8 to 10 on a number line is 18 spaces.

1/9 of 18 is 2.

so, 4/9 of 18 must be 8.

8 spaces from -8 (a) is 0.

so, 4/9 of the way from -8 to 10 is 0!