Answer:
a. p(x<= 5) = .15 + .4 + .25 = .8
C. .4(4.2) = 1.68
5.4(1-.4) = 3.24
3.24 + 1.68 = 4.92 ,, 4.92 > 4.55 so short is better
Step-by-step explanation:
This is a combinations problem.
The total number of possible 2-item combinations is (1000 choose 2)
The number of 2-defective combinations is (300 choose 2)
The probability =
A wall is in the shape of a trapezoid and it can be divided into a rectangle and a triangle. A triangle is with angles 45°- 45° - 90°. The hypotenuse of that triangle is 13√2 ft.Using the 45° - 45° - 90° theorem, sides of that triangle are in the proportion:x : x : x√2, and since that x√2 = 13√2 ( hypotenuse ), x = 13.Therefore h = 13 ft.We can check it: c² = 13² + 13²,c² = 169 + 169c² = 338c = √ 338 = 13√2Answer: h = 13 ft
1) From the measure of 40°, you can write:
tan(40°) = 100/x, where x is the base from the building to the tower
⇒x=100/tan(40°) = 119,18 m
2) From the measure of 30°, you can write
tan(30°) = y / 119,18, where y is the height from the roof of Jill's building to the top of the tower.
Then, y = tan(30°) * 119,18 = 68,81 m
3) The height of Jill's building is 100 - 68,81 = 31,19 m
