Answer:An absolute value inequality is solved by re-writing it as compound inequality. For example.
|x+1| < 5
Since the value inside the absolute value brackets: (x+1) can be positive or negative, it is re-written as a compound inequality as the example below.
x+1 < 5
x+1 > - 5
solve for the range of values x can be
-6 < x < 4
Step-by-step explanation: How to solve inequalities
Answer:
Fuel used = 111,303,473,760 MJ/year
Step-by-step explanation:
Power production = Fuel energy * Efficiency
1200 MW = Fuel energy * 0.34
Fuel energy = 1200 MW / 0.34 =3529.41 MW
This means it consumes 3529.41 MJ/s.
Per year, it operates 365 days, 24 hours a day, 3600 seconds an hour.
To calculate the fuel used annualy we have to multiplicate by all these factors
Fuel used = 3529.41 MJ/s * 3600 s/hour * 24 hours/day * 365 days/year
Fuel used = 111,303,473,760 MJ/year
Answer:

Step-by-step explanation:
Assuming a mean of $204 per night and a deviation of $55.
a. What is the probability that a hotel room costs $225 or more per night (to 4 decimals)?
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean"
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent the cost per night at the hotel, and for this case we know the distribution for X is given by:
Where
and 
And let
represent the sample mean, the distribution for the sample mean is given by:

We are interested on this probability

And the best way to solve this problem is using the normal standard distribution and the z score given by:

If we apply this formula to our probability we got this:


And we can find this probability on this way:

Answer:
D!
Step-by-step explanation: