Acompany has 14 employees with a salary of $21,000, 11 employees with a salary of $22,800, 17 employees with a salary of $24,800, 3 employees with a salary of $32,200, 5 employees with a salary of $38,500, and 1 employee with a salary of $148,300.        find the mean salary for the employees.

27525.4902

Step-by-step explanation:

First need to add the total number of employees:

14+11+17+3+5+1=51

Now multiply the salary for each number of employees then add to have the total:

14x21000+11x22800+17x24800+3x32200+5x38500+1x148300= 1403800

Now to obtain the mean value just divide the total salary by the total number of employees:

1403800/51= 27525.4902

the mean salary is $27,525.49

  5.   y=6; de=7; fg=8

  6.   x=4.2; jl=14.2; mn=13

step-by-step explanation:

when chords cross inside a circle, the product of the segment lengths is a constant.

5. dh×eh = fh×gh

  y = gh = dh×eh/fh = 3×4/2 . . . divide by the coefficient of gh

  y = 6

of course, the total chord length is the sum of the lengths of its segments.

  de = dh +eh = 3+4 = 7

  fg = fh +gh = 2+6 = 8

6. this problem works the same way as the previous one.

  x = lk = mk×nk/jk = 6×7/10 = 4.2

  jl = jk +lk = 10 +4.2 = 14.2

  mn = mk +nk = 6 +7 = 13

comment on chords and secants

you can think of the points h (problem 5) and k (problem 6) as points where the chords meet. a chord is part of a secant line, a line that intersects the circle in two points. one can also consider these points (h or k) to be the points where the respective secant lines meet.

then, the product that is a constant is the product of the distance from the meeting point (h or k) to one circle intersection with the distance from that meeting point to the other circle intersection. for problem 5, the constant is the product hd×he = hf×hg.

it turns out that this rule regarding the products of lengths to points of intersection is also true when the secants intersect outside the circle.

that is, you only need to remember one rule to work both kinds of problems.

2 x t divided by n

step-by-step explanation: