Candice scored 74 on an exam that had a mean of 66 and a standard deviation of 4. Erin scored 58 on an exam with a mean of 42 and a standard deviation of 7. Who scored better?

Erin

Step-by-step explanation:

Z score formula:

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

For Candice:

Z score = 74 -66/4

Z score = 2

For Erin

Z score = 58 - 42/7

Z score = 2.28571

Erin z score is larger hence, he did better

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.

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