Question

I REALY NEED HELP!

A number line contains points Q, R, S, and T. Point Q is on the coordinate 24, R is on the coordinate 28, S is on the coordinate 29, T is on the coordinate 42. Find the probability that a point chosen at random on QT is on ST. Express your answer as a percent.

25%
42.2%
50%
72.2%

Answer 1

This probability is going to be the length of segment ST divided by the length of QT so

P(ST)=(42-29)/(42-24)

P(ST)=13/18

As a percentage:

(p/100)=(13/18)

p=1300/18%

p=650/9%

p≈72.2% (to nearest tenth of a percent)

Answer 2

The correct option is 4.

Explanation:

It is given that Point Q is on the coordinate 24, R is on the coordinate 28, S is on the coordinate 29, T is on the coordinate 42.

Total numbers lie on line QT is

`42-24=18`

The numbers lie on line ST is

`42-29=13`

The probability that a point chosen at random on QT is on ST is

`P=\frac{\text{The numbers lie on line ST}}{\text{Total numbers lie on line QT}}* 100`

`P=(13)/(18)}* 100`

`P=72.222\approx 72.2\%`

The probability that a point chosen at random on QT is on ST is 72.2%. Therefore option 4 is correct.