Martha, A statistician wishes to analyze teachers’ salaries in the state of California. She determines that teacher’s salaries in California are normally distributed with a mean salary of $37,764 and a standard deviation of $5,100. Answer the following questions. a) What is the probability that a randomly selected teacher’s salary in California is greater than $45,000?

0.078 or 7.8%

Step-by-step explanation:

Mean salary (μ) = $37,764

Standard deviation (σ) = $5,100

The z-score for any given teacher's salary in California, X, is determined by:

For X = $45,000:

A z-score of 1.419 corresponds to the 92.20th percentile of a normal distribution. Therefore, the probability that a salary is greater than $45,000 is:

The probability is 0.078 or 7.8%.

there is no image or shapes attacted

step-by-step explanation:

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.