2) Additionally, 5 of the 50 employees surveyed said that they were
planning 3 vacations in the next year How many employees should
the toy company expect to go on three vacations in the next year?
A) 46
B) 52
C) 59
D) 65

Depends how general the question is with its survey data and its rules. but if so little people say they are going then there is a 1/2 chance so little amounts do the opposite. If the toy company had no rules then they should go by the 1/2 rate of complete change and choose A) 46 as 50-5 (1/2 change as described would be 45 and closest to 46

Step-by-step explanation:

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