At Central High School, there is a 20% chance a senior is 6 ft or taller, and 40% chance a senior is going to attend the local college. What is the probability a senior is shorter than 6 ft and not going to attend a local college

The probability a senior is shorter than 6 ft and not going to attend a local college is 48%

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Probability a senior is 6 ft or taller = 20%

Probability a senior is going to attend the local college = 40%

2. What is the probability a senior is shorter than 6 ft and not going to attend a local college?

If the probability a senior is 6 ft or taller = 20%, therefore the probability a senior is shorter than 6 ft = 100% - 20% = 80%

If the probability a senior is going to attend the local college = 40%, therefore the probability a senior is not going to attend the local college = 100% - 40% = 60%

In consequence, the probability a senior is shorter than 6 ft and not going to attend a local college is:

p = 80% * 60%

p = 0.8 * 0.6

p = 0.48

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.