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krok68 [10]
3 years ago
9

PLEASE HELP ME THANKS SO Much

Mathematics
1 answer:
allochka39001 [22]3 years ago
8 0

9514 1404 393

Answer:

  (b)  x = 7, AB = 9, AC = 12

Step-by-step explanation:

ΔAEB ~ ΔCDB so corresponding sides are proportional.

  AB/CB = AE/CD

  (x+2)/(x -4) = 12/4

  x +2 = 3(x -4) . . . . . . multiply by x-4

  x +2 = 3x -12 . . . . . . eliminate parentheses

  14 = 2x . . . . . . . . . . . add 12-x

  7 = x . . . . . . . . . . . . . divide by 2

AB = x +2 = 7 +2 = 9

BC = x -4 = 7 -4 = 3

AC = AB +BC = 9 +3 = 12

__

In summary, ...

  x = 7, AB = 9, AC = 12 . . . . . matches the 2nd choice

_____

<em>Additional comment</em>

Please note the other choices make no sense.

  (a) AB = x +2 = -5 +2 = -3 ≠ -9

  (c) AC = 2x-2 = 2(7) -2 = 12 ≠ 9

  (d) segment lengths are never negative in a geometrical figure

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8 0
3 years ago
Consider a small ferry that can accommodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let X and Y
harina [27]

Answer:

Expected revenue from the single trip is $ 13.14

Step-by-step explanation:

                              y

p(x,y)                   0               1                                 2                g(x)

x    0           0.025              0.015                       0.010            0.05

1                  0.050            0.030                        0.020           0.1  

2                   0.115             0.075                        0.050           0.24

3                  0.150              0.090                      0.060             0.3

<u>4                   0.100             0.060                     0.040              0.2 </u>

h(y)              0.325              0.27                       0.18  

E (x+Y) = E(X) +E(Y)

E(X)= ∑ xi g(x)i

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        = 0 + 0.1+ 0.48 + 0.9+0.8

        =2.28

E(Y)= ∑yi h(y)

      = (0* 0.325) + (1*0.27) + (2*0.18)    

       = 0 +0.27+ 0.36

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E (x+Y) = E(X) +E(Y)

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E(3x+ 10y)= 3E(x) + 10 E(y)

                   = 3(2.28) + 10 (0.63)

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                         = 13.14

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