CPhill

Slope  = ( -2 - 5) /(4 - 3)  =  =  -7 / 1  =  -7

a_n  =  17-5n

a_n+1 = a_n - 5  ,   a₁ = 12

Very nice "24".....!!!!

P(Moon Hit)  =  Area of Moon  / Area  of Cover

{ 2 1/2   = 2.5  }

Area of Moon  = pi (diameter/ 2)^2  =  pi (2.5/2)^2  = pi (1.25)^2 =  4.9 in ^2

Area of Cover  = (5 1/2) ( 8 1/2)  = (5.5) (8.5)  = 46.75 in^2

So

4.9  / 46.75  ≈ .1048 ≈   10.5%

P(Romance novel)  = 36 / 91  = .396

P(Romance Novel Given a Paperback)  = 28/ 62  = .452

-1, -3, -5, -7

The common difference is - 2

14th term 

-1  - 2 (14 - 1)  =

-1 - 2(13)  =

-1 - 26  =

-27

Question 2

4 feet

tan x  =  4/20

arctan (4/20) ≈  11.3°

6 feet

tan x  = (6/20)

arctan (6/20)  ≈  16.7°

11.3° ≤ x ≤ 16.7°

Question 1

Here you go.....

We have right triangle ABC

Tan A  = 4.8 / 2  = 2.4

Area  =  = product of legs / 2   =  (4.8)(2) / 2  =  4.8  units^2 

Exponential Growth rate equation

y = 2000(1.5)^t

2C1   means " two choose one"

In this case....we could have a girl either born first or second...choose either