The distances covered by each of two runners during the first 21 minutes of a race are shown in the graph below. The time at which one runner passes the other is between

t = 10.5 minutes

Step-by-step explanation:

Curves on the graph show the distance covered by two runners during the first 21 minutes of a race.

These curves intersect each other at a point which shows a common location of both the runners on the graph.

This common point is at the mid of t = 9 and 12 seconds

Therefore, time at which both the runners passes the other will be,

t =

 = 9 + 1.5

 = 10.5 minutes

It's either 10.5 or 11

Step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

b. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x  

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer:   y=4x−16

hope i'm right