Answer:
f^-1(x) = 3 - 5x, second option
Step-by-step explanation:
To determine the inverse simply interchange the variables and solve for y;
f(x) = 3 - x / 5 -> Interchange the variables
x = 3 - y/5 -> Multiply either side by 5
5x = 3 - y -> Subtract three from either side
- y = 5x - 3 -> Divide either side by - 1
y = - 5x + 3
Your solution is f^-1(x) = 3 - 5x
Answer:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then the we know that the distribution for the sample mean
is given by:
And the standard error is given by:

Step-by-step explanation:
Previous concepts
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".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then the we know that the distribution for the sample mean
is given by:
And the standard error is given by:

The next number would be 8+13 = 21
1.35=area
formula for area of a triangle is base times height divided by two and therefore 1.5 times 1.8 divided by two is 1.35
Answer: 8 gallons of water.
Step-by-step explanation:
3 x 4 x 5 = 60.
60 divided by the number of gallons per cubic foot 7.5 = 8 gallons. :)