Answer:
10.69% probability that all 12 flights were on time
Step-by-step explanation:
For each flight, there are only two possible outcomes. Either it was on time, or it was not. The probability of a flight being on time is independent of any other flight. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
83% of recent flights have arrived on time.
This means that 
A sample of 12 flights is studied.
This means that 
Calculate the probability that all 12 flights were on time
This is P(X = 12).


10.69% probability that all 12 flights were on time
Answer:
D
Step-by-step explanation:
Answer:
The final answer in the most simplest form is 3/32
Step-by-step explanation:
3/8(3/4+5/6)-1/2
3/8( 38/24)-1/2
114/192-1/2=36/184
Divide by 12 for the 36 and 184
the final answer should be 3/32
Answer:
You can see the graph in the attached file.
Step-by-step explanation:
You need to propouse values of x, and substitue into the equation to get the corresponding value of y. In other words you need to evaluate the function for each value of x. With those values you can build the table.
For example choose the value x = 0, then you can calculate the value of y:


f(0) = 6
Then when x = 0, y = 6
The coordinates for the graph (x, y) = (0, 6)
For the table choose different values, include: zero, negative and positive numbers.
x y
x = f(x)=
-20 -15330794
-15 -3582444
-10 -456694
-5 -12794
-1 2
0 6
1 4
5 17456
10 535306
15 3984306
20 16605206
Review the attached excel file, there you will see the table and how to do the calculations in the cell.
Once you have the values in the chart, select the data. Then from the bar choose insert and then select the xy scatter.
Also you can see the graph in the file.
<span>Quick Check: Review of Parallel and Perpendicular Lines
1. B. angle 4
2. B. </span>alternate interior angles<span>
3. D. 150
4. </span>D. a = 36, b = 118, c = 62