The statistical procedure you are referring to is known as regression analysis (option d). Regression analysis is a technique used to analyze the relationship between two variables by developing an equation that quantifies their association. This method is widely used in various fields, such as economics, biology, and social sciences, to predict and understand trends, make forecasts, and identify causal relationships.
In a regression analysis, one variable is considered the dependent variable (the outcome), while the other is the independent variable (the predictor). The dependent variable is typically the variable of interest that you want to explain or predict. The independent variable is the factor that may influence the dependent variable.
The procedure involves fitting a line or curve to the data points in a way that minimizes the differences between the observed values and the predicted values. This allows researchers to identify and interpret the underlying patterns and make inferences about the relationship between the variables.
In summary, regression analysis is a powerful statistical procedure used to develop an equation that illustrates how two variables are related. By doing so, it enables researchers to make predictions, assess trends, and understand the causal relationships between variables in various fields
Learn more about statistical here:
https://brainly.com/question/27165606
#SPJ11
Problem 3 Relentless.com, an online retailer, randomly sampled 250 customers to estimate the time they spend on their website. The results show that the 250 customers spent 20 minutes on average on the website. If the population standard deviation of the time spent on the website is 25 minutes, estimate , the true (population) average time spent on the website, at a 95% confidence level.
The 95% confidence interval for the true (population) average time spent on the website is (16.08, 23.92) minutes. This means we can be 95% confident that the true average time spent on the website falls within this range.
To estimate the true (population) average time spent on the Relentless.com website at a 95% confidence level, we can use the formula for a confidence interval:
CI = X ± Zα/2 * (σ/√n) where X is the sample mean (20 minutes), σ is the population standard deviation (25 minutes), n is the sample size (250), and Zα/2 is the critical value from the standard normal distribution for a 95% confidence level (1.96).
Plugging in the values, we get:
CI = 20 ± 1.96 * (25/√250)
Simplifying, we get:
CI = 20 ± 3.92
Learn more about sample mean here:
https://brainly.com/question/31101410
#SPJ11
What is the ANSWER also Chapter 8 Big Ideas Math Blue Book
The volume of the smaller triangular prism is calculated as:
= 9.6 cubic cm.
What are the Volume of Similar Triangular Prisms?To find the volume of similar triangular prisms, recall that:
the cube of the ratio of their linear measures = the ratio of their volumes.
Given the following:
ratio of the linear measures of the two similar triangular prisms = 2/5
Volume of the larger prism = 150 cubic cm
Volume of the smaller prism = x
Set up the equation as shown below:
2³ / 5³ = x / 150
8/125 = x/150
Cross multiply:
125x = 8 * 150
125x = 1,200
x = 1,200/125
x = 9.6 cubic cm.
Learn more about the volume of similar solids on:
https://brainly.com/question/16599646
#SPJ1
If P(A) = 0.2,P(B) = 0.3, and P(A and B) = 0.1, find P(A or B). P(A or B) =
we know that
P (A or B) = P(A) + P(B) -P (A and B)
putting values we get
P (A or B) = 0.2 + 0.3 - 0.1
P (A or B)= 0.4
hence the ans. = 0.4
consider the following two statements: i ) the derivative of a sum is the sum of the derivatives. ii) the derivative of a difference is the difference of the derivatives. select the correct response below
a. Neither i or ii is true. b. Only statement ii is true. c. Only statement i is true d. Both i and ii are true.
there is a related property known as the chain rule which can be used to differentiate a difference of functions.
The correct response is: c. Only statement i is true.
Statement i is known as the linearity of differentiation and is a fundamental property of derivatives. It states that the derivative of a sum of functions is equal to the sum of their derivatives.
On the other hand, statement ii is not true in general. The derivative of a difference of functions is not equal to the difference of their derivatives. However, there is a related property known as the chain rule which can be used to differentiate a difference of functions.
learn about derivative,
https://brainly.in/question/40588866
#SPJ11
Solve for n in the proportion. 215/370=344/n
This simple proportion equation will result to 592
Understanding proportionIn mathematics, a proportion is a statement that two ratios or fractions are equal. It expresses the relationship between two quantities or sets of quantities that are proportional or have a constant ratio to each other.
For example, the statement "2/3 = 4/6" is a proportion, which means that the ratio of 2 to 3 is the same as the ratio of 4 to 6. This proportion can be simplified by dividing both sides by 2, giving "1/3 = 2/3", which means that one-third is equal to two-thirds.
Proportions are commonly used in various fields such as finance, science, and engineering to solve problems related to scaling, measurement, and comparison.
Learn more about proportion here:
https://brainly.com/question/1496357
#SPJ1
From his home, Rudy would have to walk due north to get to his friend Javier's house and
due east to get to his friend Steve's house. It is 1 mile from Rudy's house to Steve's house
and a straight-line distance of 3 miles from Javier's house to Steve's house. How far is Rudy's
house from Javier's house? If necessary, round to the nearest tenth.
miles
Answer:
Rudy's house is approximately 2.8 miles away from Javier's house.
Step-by-step explanation:
We can use the Pythagorean theorem to solve this problem. Let x be the distance from Rudy's house to Javier's house. Then, we can set up the following equations based on the given information:
x^2 + 1^2 = 3^2 (using the distance between Javier's and Steve's houses)
x^2 = 9 - 1
x^2 = 8
x ≈ 2.8
Therefore, Rudy's house is approximately 2.8 miles away from Javier's house.
Confused on my math assignment. Can anyone help?
Answer:
Step-by-step explanation:
Here are the match-ups:
Han: x+2<20
Mai: x-2<20
Tyler: 2x<20
Priya: 1/2<20
True or false. When evaluating a square root (i.e. √8), you only acknowledge the positive root
When evaluating a square root, you should acknowledge both the positive and negative roots. Hence, the given statement is false.
The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.
When evaluating a square root, you should acknowledge both the positive and negative roots.
Example: √8
= √(4×2)
= ±2√2
Hence, the given statement is false.
To learn more about the square root of a number visit:
https://brainly.com/question/8971086.
#SPJ1
one tenth of a number decreased by four is eight
The awnesr is
= 120
10(8+4)
Graph the line whose y-intercept is 8 and whose x-intercept is -7.
10.
Answer:
y=(8/7)x+8
Step-by-step explanation:
calculate the slope: rise over run, 8/7 and add the y intercept of 8.
Given vector � = < − 5 , − 3 > , v=⟨−5,−3⟩, find 2 � . 2v.
The vector 2v is ⟨-10, -6⟩ when the vector v is ⟨-5, -3⟩ we get by multiplying
To find 2v, we simply need to multiply each component of the vector v by 2:
2v = 2⟨-5, -3⟩
Multiply 2 with the vector v
= ⟨2(-5), 2(-3)⟩
= ⟨-10, -6⟩
Therefore, the vector 2v is ⟨-10, -6⟩ when the vector v is ⟨-5, -3⟩
To learn more on Vectors click:
https://brainly.com/question/13322477
#SPJ1
how many arrangements can be made using 4 letters of the word hyperbolas if no letter is to be used more than once?
5,040 arrangements can be made using 4 letters of the word hyperbolas if no letter is to be used more than once.
To find the number of arrangements that can be made using 4 letters of the word "hyperbolas" without repeating any letters, we need to use the formula for permutations.
The formula for permutations of n objects taken r at a time is:
P(n,r) = n! / (n-r)!
Where "n" is the total number of objects and "r" is the number of objects we are choosing.
In this case, we have 10 letters in the word "hyperbolas" and we need to choose 4 of them without repetition. So we can plug in the values:
P(10,4) = 10! / (10-4)!
P(10,4) = 10! / 6!
P(10,4) = (10 x 9 x 8 x 7 x 6!) / 6!
P(10,4) = 10 x 9 x 8 x 7
P(10,4) = 5,040
Therefore, there are 5,040 different arrangements that can be made using 4 letters of the word "hyperbolas" without repeating any letters.
More on arrangements: https://brainly.com/question/29984884
#SPJ11
Find the ordered pair solutions for the
system of equations.
f(x) = x² - 2x - 15
f(x) = -x-9
Answer:
To find the solutions to this system of equations, we need to set f(x) equal to each other and solve for x.
x² - 2x - 15 = -x - 9
Simplifying and solving for x, we get:
x² - x - 6 = 0
Factoring the left side, we get:
(x - 3)(x + 2) = 0
So, the solutions are x = 3 and x = -2.
To find the corresponding y values, we can plug these x values back into either of the original equations. Using f(x) = x² - 2x - 15, we get:
f(3) = 3² - 2(3) - 15 = -3
f(-2) = (-2)² - 2(-2) - 15 = -9
Therefore, the ordered pair solutions for the system of equations are (3, -3) and (-2, -9).
T/F : If v is an eigenvector of A, then cv is also an eigenvector of A for any number câ 0
True. If v is an eigenvector of A with eigenvalue λ, then for any scalar c ≠ 0, we have Av = λv, and multiplying both sides by c gives Acv = cAv = cλv. Therefore, cv is also an eigenvector of A with eigenvalue cλ.
Let A be an n x n matrix and let v be a non-zero n-dimensional column vector. We say that v is an eigenvector of A if there exists a scalar λ such that Av = λv. The scalar λ is called the eigenvalue corresponding to the eigenvector v.
Now, suppose that v is an eigenvector of A with eigenvalue λ. If we multiply both sides of the equation Av = λv by a non-zero scalar c, we get:
Acv = cAv = cλv
Therefore, if we let w = cv, we have:
Aw = A(cv) = (Ac)v = (cλ)v = λ(cv) = λw
This shows that w = cv is also an eigenvector of A, with eigenvalue λ, as required. So, if v is an eigenvector of A, then any non-zero scalar multiple of v is also an eigenvector of A with the same eigenvalue.
Visit to know more about Eigenvalue:-
brainly.com/question/31489527
#SPJ11
WILL MARK BRAINLIEST!!!
Simplify the system.
Answer:
[tex] \frac{6 {x}^{2} - 12x - 48 }{3 {x}^{2} - 12x - 36 } = \frac{6( {x}^{2} - 2x - 8)}{3( {x}^{2} - 4x - 12)} = \frac{6(x + 2)(x - 4)}{3(x + 2)(x - 6)} = \frac{2(x - 4)}{x - 6} = \frac{2x - 8 }{x - 6} [/tex]
Check these answers?
1. The width is 7 1/9 feet
2. The number of containers is 10 9/16 containers
3. The length is 15/8 miles
4. 15/184 servings
How to determine the valueThe formula for determining the area of a rectangle is expressed as;
A = lw
Given that the parameters are;
A is the area of the rectangle.l is the length.w is the width of the rectangle.We have that;
1. Substitute the values
32 = 9/2w
Make the width subject of formula
32× 2/9 = w
Multiply the values
w = 64/9 = 7 1/9 feet
2. To determine the value, we have;
Area = 13/2 × 13/8
Multiply the values
Area = 169/16
Divide the values
Area = 10 9/16 containers
3. The area is 15/56
Width = 1/7
Then
Length = area/width
Length = 15/56 × 7/1
Multiply the values
Length = 15/8 miles
4. We have that;
1 serving = 5/4
then x = 46/3
cross multiply the values
x = 5/4 × 3/46
Multiply the values
x = 15/184 servings
Learn more about rectangles at: https://brainly.com/question/2607596
#SPJ1
Can someone please help me with this
The equation of the axis of symmetry for the parabola is x = 4.
How to find the axis of symmetry of a parabola
In this problem we find the representation of a parabola whose axis of symmetry is parallel with the y-axis, the formula of the parabola is:
y = a · x² + b · x + c
Where:
a, b, c - Real coefficients.x - Independent variable.y - Dependent variable.And the axis of symmetry of the parabola is shown below:
x = h
Where h is the x-coordinate of the vertex.
If we know that vertex has coordinates (h, k) = (4, - 1), then the equation of the axis of symmetry is x = 4.
To learn more on parabolae: https://brainly.com/question/31142122
#SPJ1
A hospital recruiting company for doctors is conducting a study to determine whether the average doctor's salary (in thousands of dollars) is significantly more than $86 thousand dollars. a random sample of 26 doctors' salaries (in thousands of dollars) is given in the table. test the hospital recruiting company's claim using a 5% level of significance.
To test the hospital recruiting company's claim, we can use a one-sample t-test with a null hypothesis that the population mean salary is equal to $86,000 and an alternative hypothesis that the population mean salary is greater than $86,000.
Using the given sample of 26 doctors' salaries, we can calculate the sample mean and standard deviation. The sample mean is $91,000 and the sample standard deviation is $12,000.
Next, we need to calculate the t-statistic using the formula:
t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))
Plugging in the values, we get:
t = ($91,000 - $86,000) / ($12,000 / sqrt(26))
t = 2.34
Using a t-table with 25 degrees of freedom (26-1), we can find the critical value for a one-tailed test at a 5% level of significance. The critical value is 1.711.
Since our calculated t-value of 2.34 is greater than the critical value of 1.711, we reject the null hypothesis and conclude that there is evidence to support the claim that the average doctor's salary is significantly more than $86,000 at a 5% level of significance.
Therefore, the hospital recruiting company's claim is supported by the given sample data.
To learn more about hypothesis visit;
https://brainly.com/question/29519577
#SPJ11
In which of the following situations can you approximate the sampling distribution with the given values of p and n by using a normal distribution? Op = 24 and n = 30 Op = .90 and n = 32 O More than one of the above Op = .08 and n = 50 O p = .70 and n=9
The situation where we can approximate the sampling distribution with a normal distribution is Op = .90 and n = 32.
In order to approximate the sampling distribution with a normal distribution, both of the following conditions must be satisfied:
The sample size n must be large enough (typically, n >= 30).
The population proportion p and the sample size n must satisfy np >= 10 and n(1-p) >= 10.
Let's check these conditions for each of the given situations:
Op = 24 and n = 30: Since np = 24*30/100 = 7.2 < 10 and n(1-p) = 22.8 < 10, we cannot approximate the sampling distribution with a normal distribution in this case.
Op = .90 and n = 32: Since np = 28.8 >= 10 and n(1-p) = 3.2 >= 10 are both satisfied, we can approximate the sampling distribution with a normal distribution in this case.
Op = .08 and n = 50: Since np = 4 < 10 and n(1-p) = 46 >= 10 are not both satisfied, we cannot approximate the sampling distribution with a normal distribution in this case.
Op = .70 and n=9: Since np = 6.3 >= 10 and n(1-p) = 2.7 < 10 are not both satisfied, we cannot approximate the sampling distribution with a normal distribution in this case.
Therefore, the situation where we can approximate the sampling distribution with a normal distribution is Op = .90 and n = 32.
To learn more about sampling visit:
https://brainly.com/question/13287171
#SPJ11
Is it possible for a process to pass through 2nd or 4th quarter/quadrant? Why or not? Alternatively, what is the effect of a negative value of the polytropic index, 'n' ?
Yes, it is possible for a process to pass through the 2nd or 4th quadrant. The 2nd quadrant is characterized by negative values of work done and positive values of heat added.
This could happen in a scenario where a gas is compressed at a constant temperature, which results in negative work done, but heat is added to the gas to maintain its temperature. The 4th quadrant is characterized by negative values of both work done and heat added. This could happen in a scenario where a gas is expanded at a constant temperature, which results in negative work done and no heat is added or removed from the gas.
As for the effect of a negative value of the polytropic index 'n', it indicates that the process is non-adiabatic and not reversible. A negative value of 'n' means that the process is not able to maintain constant heat transfer or constant entropy. This could result in energy losses and a decrease in the efficiency of the process. It could also indicate that the process is not in equilibrium and is being driven by external forces. Overall, a negative value of 'n' can have negative effects on the performance and stability of a process.
To learn more about Equilibrium - brainly.com/question/30807709
#SPJ11
Situation:
You invest $200 in an account that pays
an interest rate of 6.5%, compounded
continuously.
A = Pert
P= amount of money invested
r= interest rate percentage in decimal for
Calculate the balance of your account after 20
years. Round your answer to the nearest
hundredth.
Enter the correct answer.
?
DONE
The balance of the account after 20 years with continuous compounding interest is $733.86.
What is the balance of the account after 20 years?The formula accrued amount compounded continuously is expressed as;
A = P × e^(rt)
Where A is accrued amount, P is principal, r is interest rate and t is time.
Given that:
Principal P = $200Compounded contiouslyTime t = 20 yearsInterest rate r = 6.5%Accrued amount A = ?First, convert R as a percent to r as a decimal
r = R/100
r = 6.5/100
r = 0.065
Plugging in the given values, we get:
A = P × e^(rt)
A = $200 × e^( 0.065 × 20)
A = $733.86
Therefore, the accrued amount after 20 years is $733.86.
Learn more about compound interest here: brainly.com/question/27128740
#SPJ1
A student is painting a brick for his teacher to use as a doorstop in the classroom. He is only painting the front of the brick. The vertices of the face are (−4, 2), (−4, −11), (4, 2), and (4, −11). What is the area, in square inches, of the painted face of the brick?
42 in2
52 in2
104 in2
128 in2
The area of the painted face of the brick is 104 square inches units
What is the area of the painted face of the brick?The vertices of the face are (−4, 2), (−4, −11), (4, 2), and (4, −11)
The distance between the coordinates are
√[(-4 + 4)^2 + (2 + 11)^2] = 13
√[(-4 - 4)^2 + (-11 + 11)^2] = 8
So, we have
Area = 13 * 8
Area = 104
Hence, the area is 104 square inches units
Read more about area at
https://brainly.com/question/24487155
#SPJ1
Answer: The answer is C
Step-by-step explanation:
I SUCK AT MATH HELP!giving 11. Points
The unit of measurement that Mia should use for the surface area of the prism is B. in ².
Why is this unit best ?Determining the surface area of an object requires calculating the total measure of its covered space. This figure is quantified in square units, as it consists of deriving two-dimensional lengths and widths from its surfaces, which are then multiplied to arrive at the entire area.
As dimensions only concern a flat outline, it follows that all recorded measurements will take on some form of squared units like m² or in² - invariably pegged to the realm of two-dimensionality.
Find out more on surface area at https://brainly.com/question/3108615
#SPJ1
HELP PLEASE IM TIMED
The amount of fabric that is needed for the tent is 18350 in² (optionC)
What is area of prism?A prism is a solid shape that is bound on all its sides by plane faces. The surface area of a prism is expressed as ;
SA = 2B +pH
where B is the base area , p is the perimeter of the base and H is the height of the prism.
Base area =1/2bh
= 1/2 × 50× 70
= 25 × 70
= 1750in²
Perimeter of the base = 74+74+50
= 198 in
height = 75in
Therefore SA = 2×1750 +198 × 75
= 3500 + 14850
= 18350 in²
therefore the amount of fabric that will be needed nis 18350 in²
learn more about area of prism from
https://brainly.com/question/1297098
#SPJ1
a bag of marbles contains 6 red and 2 white marbles. if two marbles are selected, what is the probability that one is red and the other is white
The probability that one marble is red and the other is white when two marbles are selected from the bag is 3/7
To find the probability that one marble is red and the other is white when two marbles are selected from a bag containing 6 red and 2 white marbles, you can use the following formula:
P(Red and White) = P(Red first) * P(White second) + P(White first) * P(Red second)
In this case:
P(Red first) = 6/8 (since there are 6 red marbles and a total of 8 marbles)
P(White second) = 2/7 (after removing one red marble, there are 2 white marbles and a total of 7 marbles left)
P(White first) = 2/8 (since there are 2 white marbles and a total of 8 marbles)
P(Red second) = 6/7 (after removing one white marble, there are 6 red marbles and a total of 7 marbles left)
Now, substitute these values into the formula:
P(Red and White) = (6/8) * (2/7) + (2/8) * (6/7) = (12/56) + (12/56) = 24/56
Simplify the fraction:
P(Red and White) = 3/7
So, the probability that one marble is red and the other is white when two marbles are selected from the bag is 3/7.
Learn more about "probability": https://brainly.com/question/13604758
#SPJ11
Solve for Quadratic Equations
10x2 + 20x− 71 = 9
Answer:
x=2 or x=-4. You can also write it as x=2,-4
Step-by-step explanation:
Write your equation and start by subtracting 9 from both sides
10x^2+20x-71-9=9-9
You should end up with
10x^2+20x-80=0
For this equation: a=10, b=20, c=-80
Now we use the quadratic formula and substitute the information. I have attached a picture for you.
The circumference of a circle is 2 pi meters. Find its radius, in meters.
Answer:
1 meter
Step-by-step explanation:
Circumference of circle = 2 · r · π
Circumference = 2π
Let's solve
2π = 2 · r · π
2 = 2 · r
r = 1 meter
So, the radius is 1 meter
the sample space contains 6 as and 4 bs. what is the probability that a randomly selected set of 3 will include 1 a and 2 bs?
The probability that a randomly selected set of 3 will include 1 A and 2 Bs is 0.3 or 30%.
To find the probability that a randomly selected set of 3 will include 1 a and 2 bs, we first need to determine the total number of possible sets of 3 that can be selected from the sample space.
Since the sample space contains 6 as and 4 bs, the total number of possible sets of 3 that can be selected is:
10C3 = (10!)/(3!*(10-3)!) = 120
This means there are 120 different ways to select a set of 3 from the sample space.
Next, we need to determine the number of sets of 3 that include 1 a and 2 bs. To do this, we can use the combination formula:
6C1 * 4C2 = (6!)/(1!*(6-1)!) * (4!)/(2!*(4-2)!) = 6*6 = 36
This means there are 36 different sets of 3 that include 1 a and 2 bs.
Finally, we can calculate the probability of selecting a set of 3 that includes 1 a and 2 bs by dividing the number of sets that meet this condition by the total number of possible sets:
36/120 = 3/10
Therefore, the probability that a randomly selected set of 3 will include 1 a and 2 bs is 3/10.
Given that the sample space contains 6 As and 4 Bs, let's find the probability that a randomly selected set of 3 will include 1 A and 2 Bs.
1. First, calculate the total number of ways to choose 3 elements from a set of 10 (6 As and 4 Bs). We use the combination formula:
C(n, r) = n! / (r!(n-r)!)
C(10, 3) = 10! / (3!(10-3)!) = 10! / (3!7!) = 120
2. Next, find the number of ways to choose 1 A from the 6 As and 2 Bs from the 4 Bs:
C(6, 1) = 6! / (1!(6-1)!) = 6! / (1!5!) = 6
C(4, 2) = 4! / (2!(4-2)!) = 4! / (2!2!) = 6
3. Multiply the number of ways to choose 1 A and 2 Bs:
Number of favorable outcomes = C(6, 1) × C(4, 2) = 6 × 6 = 36
4. Finally, calculate the probability:
Probability = Number of favorable outcomes / Total number of outcomes = 36 / 120 = 3/10 or 0.3
So, the probability that a randomly selected set of 3 will include 1 A and 2 Bs is 0.3 or 30%.
Learn more about probability at: brainly.com/question/30034780
#SPJ11
Oxford Company uses a job order costing system. In the last month, the system accumulated labor time tickets totaling $26,000 for direct labor and
$5,700 for indirect labor. The journal entry to record indirect labor consists of a:
Multiple Choice
The journal entry to record indirect labor consists of A. Debit Factory Overhead $ 5, 700, credit Factory Wages Payable $ 5, 700.
How to record the indirect labor ?Indirect labor charges, like those for factory supervisors or maintenance crew, cannot be exclusively attributed to a given product or job.
Instead, they are typically allotted to all jobs depending on predetermined rates/bases in job order costing, by debiting a Factory Overhead account and crediting an accounting option such as Factory Wages Payable or Accrued Wages Payable.
Find out more on journal entry at https://brainly.com/question/24130599
#SPJ1
The function F is defined by F(x ) = 12 x + 1 2. Find each value of the function. F(k )
The value of the given input function for F(x) = 12/x + 1/2 is found to be 4.5, -0.5, 36.5 and 16 is respectively.
To find the values of the function F(x) for the given inputs, we simply substitute the inputs into the formula,
F(x) = 12/x + 1/2
a) F(3)
Substituting x = 3, we get,
F(3)
= 12/3+1/2
= 4+0.5
= 4.5
b) F(-12)
Substituting x = -12, we get,
F(-12) = 12/(-12)+1/2
=-1+0.5
= -0.5
c) F(1/3)
Substituting x = 1/3, we get,
F(1/3)
= 12/(1/3)+1/2
= 36+0.5
= 36.5
d) F(3/4)
Substituting x = 3/4, we get:
F(3/4)
= 12/(3/4)+1/2
= 16+0.5
= 16.5
The above are the value of all the given input functions.
To know more about function, visit,
https://brainly.com/question/11624077
#SPJ4
Complete question - The function F is defined by F(x)= 12/x + 1/2 . Use this formula to find the following values of the function.
F(3)
F(−12)
F( 1/3 )
F( 3/4 )