Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Morgan got a score of 81.7; this version has a mean of 60.9 and a standard deviation of 13. Frankie got a score of 314.8; this version has a mean of 294 and a standard deviation of 26. Rebecca got a score of 7.5; this version has a mean of 7.2 and a standard deviation of 0.6. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?

Morgan.

Step-by-step explanation:

The applicant who has the highest z-score would be the one who performs best.

z-score = (s - m)/ d       where  s = score, m = mean and d = the standard deviation.

Morgan's z-score = (81.7 - 60.9) / 13

= 1.6

Frankie's = (314.8 - 294) / 26

= 0.8.

Rebecca's = (7.5 - 7.2) / 0.6

= 0.5.

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places