Question 1

large

zero

different mean, same std dev

different both

Question 2

1. 2/3 = (8/25) / b

   P(B) = 12/25

2. 8/25 = 18/25 x 12/25

   = 216/625 not the same therefore not independent

3. 18/25 + 12/25 - 8/25 = 22/25

Question 3

1. x^2 + 5^2 = 10^2

   x^2 = 75

   AF = 5√3

2. angle A is common, right angle at ACB = AFC. therefore by AA rule they are similar

3. 8.66:10

   LSF = 1.15

   10: 11.5 = AB

Question 4

1. fx = 4, 0.5 , 1

   gx = 8 , 2, -3

Question 5

1. 180 - 55 = 125

   140+125 = 265

   360 - 265 = 95

2. c^2 = 100^2 + 250^2 - 2(100 x 250) cos95

   c = √76857.8

   c = 277.23

3. HABDCH

4. sin95/277.23 = sinx / 250

   x = sin^-1 ( 250 x sin95/277.23)

   x=64

   64 x 2 = 128

   55x2 = 110

   360 - (128+110) = 122

   c^2 = 277.23^2 + 277.23^2 - 2(277.23 x 277.23) cos122

   c = √235168.4

   c = 484.9

   100+250+484.9+250+100 = 1185