Answer:
0.335
Step-by-step explanation:
1. There is a 30 percent chance of a flight being delayed because of icy weather ,then the probability of being delayed is 0.3 and of being not delayed is 0.7.
2. If a flight is delayed because of icy weather, there is a 10 percent chance the flight will also be delayed because of a mechanical problem, then the probability of being delayed is 0.1 and the probabilty of not being delayed is 0.9.
3. If a flight is not delayed because of icy weather, there is a 5 percent chance that it will be delayed because of a mechanical problem (MP), then the probability of being delayed is 0.05 and the probabilty of not being delayed is 0.95. (See attached probability tree)
Delayed of icy weather - 0.3
Delayed of MP when weather is not icy - 0.7·0.05=0.035
Now, if one flight is selected at random from the airport in January, the probability that the flight selected will have at least one of the two types of delays is
0.3+0.035=0.335
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|4r + 8| ≥ 32
4r + 8 ≥ 32 or 4r + 8 ≤ -32 <em> inside of absolute value could be + or -</em>
4r ≥ 24 or 4r ≤ -40 <em>subtracted 8 from both sides</em>
r ≥ 6 or r ≤ -10 <em>divided both sides by 4</em>
Graph: ←---------------- -10 6 ------------------→
Interval Notation: (-∞, -10] U [6, ∞)
Step 1: 0.35 = 35⁄100
Step 2: Simplify 35⁄100 = 7⁄20
answer: 7/20
Answer:
Step-by-step explanation:
Algebraically, linear functions are polynomials with highest exponent equal to 1 or of the form y = c where c is constant. Nonlinear functions are all other functions. An example of a nonlinear function is y = x^2.
