Answer: Hence, Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Probability of successful outcome = 0.7
Probability of unsuccessful outcome = 0.3
Amount he get for successful outcome = $900
Amount he lost for unsuccessful outcome = -$1800
We need to find the expected value of return when there is successful outcome:
P(Success)× Amount for successful

Hence, Option 'D' is correct.
(x÷ - 8 )(x-3) i think that is the answer
Step-by-step explanation:
I haven't used distance formula or Pythagoras theorem, not sure why that's given at the bottom of your question. check the image. that is how I solved it
Ok, use the sum of triangle theorm all angles of the triangle has a sum of 180 degrees. B is 90 degrees because it labeled it self ABC the A angle seems by the degree to be at the top of the triangle and there needs to be a 90 degree angle in a right triangle. Now if you add 90 + 28 you get 118 degrees subtract that from the sum of all the angles ( 180 degrees), and get 62 degrees as angle C. Angle A is 28 degrees, angle B is 90 degrees, angle C is 62 degrees.
14+5x=3(-x+3)-11
14+5x=-3x+9-11
14+5x=-3x-2
add 2 to both sides
16+5x=-3x
subtract 5x from both sides
16=-8x
divide both sides by -8
-2=x
Hope this helps! :)