7is subtracted from the quotient of 48 divided by the sum of 5 & difference of 11 and 8
2 answers:
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Using the washer method, the volume is given by the integral
where 3 - 1 = 2 is the distance from <em>y</em> = 3 to the axis of revolution, and similarly (1 + sec(<em>x</em>)) - 1 = sec(<em>x</em>) is the distance from <em>y</em> = 1 + sec(<em>x</em>) to the axis. The integrand is symmetric about <em>x</em> = 0, so the integral "folds" in on itself, and the integral from -π/3 to π/3 is twice the integral from 0 to π/3.
So the volume is
Remember that to tell if a function is linear for a table, you should look for a constant rate of change, and the only function that has a constant rate of change is the first one. 
is increasing by 1, and 
is increasing by 0.5.
Now that we know that, lets find the equation of our table.
First, lets take tow points from our table: (1,
) and 
.
Next, use the slope formula:
We know for our points that
, 
,
, and 
, so lets replace those point in our formula to find 
:
Finally, we can use the point slope formula
to find our equation:
We can conclude that the first table represents a linear function, and its equation is
Now that we know that, lets find the equation of our table.
First, lets take tow points from our table: (1,
Next, use the slope formula:
We know for our points that
Finally, we can use the point slope formula
We can conclude that the first table represents a linear function, and its equation is
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
