Answer:
28. (H) 24 ft
30. (F) 
Step-by-step explanation:
28. A right triangle can be formed, where the length of the cable represents the hypotenuse, and the ground represents the base of the triangle. From the pythagorean theorem,

where a and b are legs, and c is the hypotenuse of a right triangle.
So

30. The probability of drawing a red 1 is
(a red star 1 or a red heart 1), the probability of drawing a black 3 is
(a black triangle 3 or a black circle 3), and the probability of drawing a six of hearts is
(since there is only one six of hearts in the entire deck). Since each of the cards is mutually exclusive from one another, the probability of drawing any of them is simply all of their probabilities added together. That is,

Set up a proportion then cross multiply to solve.
14/66 = 119/x
14x= 66(119)
14x=7854
x=561 ft
Answer:
1500
Step-by-step explanation:
3/7 of 3500
=3/7 × 3500
=150
Answer:
a. 0.75
b. 0.5526
c. 0.1974
Step-by-step explanation:
Probability is typically expressed as a fraction where the numerator is the number of desired outcomes and the denominator is the total number of outcomes. In this case the suitable parts is the desired outcome and the total shipment is the total parts:

The probability the both the first and second part are suitable:

Since the probability of getting a suitable part the first time is 15/20, then there is one less suitable part and one less part overall to choose on the second time, or 14/19.
Lastly, the probability of choosing a suitable part the first time is again 15/20, but the second part not being suitable would be 5/19: