The distribution of GPAs is normally distributed with a mean of 2.7 pounds and a standard deviation of 0.3. Approximately what percentage of students has GPAs above 3.0?

Answer:

Hence,

Domain: (-∞,∞)

Range: (5,∞)

Step-by-step explanation:

The domain of the function is the possible set of values at which the function is defined.

and the range of the function is the corresponding function values at the points of the domain.

e are given a function f(x) as:

Clearly the function is defined for all the real values.

Hence, the function:

is defined for all the real numbers.

Hence the domain of the function is: (-∞,∞) i.e. all of the real line.

Also we know that:

for all x.

Hence,

for all x.

Hence, the range of the function is:

(5,∞).

Hence,

Domain: (-∞,∞)

Range: (5,∞)

Answer:

General Formulas and Concepts:

Calculus

Differentiation

• Derivatives
• Derivative Notation

Basic Power Rule:

1. f(x) = cxⁿ
2. f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

Step 2: Differentiate

1. Basic Power Rule:                                                                                            
2. Simplify:                                                                                                            

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Differentiation

Answer:

Step-by-step explanation:

16 green + 25 blue + 9 yellow = 50 Total

First pick: 25 blue out of 50 total =

Second Pick: 24 blue out of 49 total =

First Pick    AND    Second Pick

                  x                   =              =

On the attached diagram you can see all graphs of functions b(x), d(x), m(x) and p(x).

Finding the inverse of a function f(x):

1. First, replace f(x) with y. This is done to make the rest of the process easier.

2. Replace every x with a y and replace every y with an x.

3. Solve the equation from Step 2 for y. This is the step where mistakes are most often made so be careful with this step.

4. Replace y with In other words, you’ve managed to find the inverse.

5. Remember: the domain of f is the range of and the range of f is the domain of .

Using this algorithm, you can find the inverse only in case C:

for m(x)=-7x:

1. y=-7x.

2. x=-7y.

3. y=-x/7.

4. .

5. The domain and the range of m(x) are all real numbers as well as the domain and the range of

Functions b(x) and p(x) are not one-to-one functions (see attached diagram), then you can't find an inverse function. Function d(x) doesn't include x, then you can't also find an inverse function.