The equation of the line in slope intercept form is y = 21x + 10.25 .
In the question ,
a line graph that represents the cost of ordering concert tickets online is given ,
we have to find the slope intercept form of the line shown in the graph ,
we can see that the line passes through the points (0 , 10.25) and (1 , 31.25) ,
So , the slope = (31.25 - 10.25)/(1 - 0)
= 21/1
= 21
So the equation of the line passing through the point (1 , 31.25) with slope
21 is ,
y - 31.25 = 21(x - 1)
y - 31.25 = 21x - 21
y = 21x - 21 + 31.25
y = 21x + 10.25
Therefore , The equation of the line in slope intercept form is y = 21x + 10.25 .
The given question is incomplete , the complete question is
The line represents the cost of ordering concert tickets online. Write an equation for the line in slope intercept form where x is the number of tickets sold and y is the total cost ?
Learn more about the Equation Of Line here
https://brainly.com/question/28833924
#SPJ4
Answer:
dont cheat on math xl!
Step-by-step explanation:
Hello, Please answer this question for 35 points and a Brainliest for the correct answer!
The figure shows a carpeted room. How many square feet of the room are carpeted?
a
30 square feet
b
44 square feet
c
56 square feet
d
76 square feet
it's (a) 30 square feet
hope it helps you ♡
If the change in y equals 10 and the change in x equals -5, then
the slope of the curve is positive.
the slope of the curve is negative.
the curve must be a straight line.
the slope cannot be calculated without more information.
What is the slope of the line that passes through (-2,-2) and (3,-1)?
Answer:
+1/5
Step-by-step explanation:
A 17.2 gallon gasoline tank is 1/2 full. How many gallons will it take to fill the tank?
Answer:
8.6
Step-by-step explanation:
We know that the tank is filled halfway, and it can hold 17.2 gallons, so we can just divide to figure out how much is half the tank (the amount we need to fill it)
17.2 / 2 = 8.6
We can check our work by multiplying
8.6 x 2 = 17.2
So it would take 8.6gal to fill it up. I hope this helps :)
What will be printed by the following program? Select one: str1 = "part1" str2 = "part2" for x in str1: print (x, end=" " )
a. x×××× b. part2 c. part1 d. part2
The character of the string "str1" = part1 will be printed.
The correct option is C.
We have,
str1 = "part1"
str2 = "part2" for x in str1: print (x, end=" " )
The program will print each character of the string "str1" on a separate line, followed by a space.
In this case, the string "str1" is "part1", so the program will print "p a r t 1" (with spaces in between each character).
The string "str2" is not involved in the loop, so it will not be printed.
Learn more about Loop here:
https://brainly.com/question/14390367
#SPJ4
Help please I will give you the brainliest
Answer:
Step-by-step explanation:
The answer is 570 because if you multiply 38 times 15 = 570 so it is 570. Thank you for answering to hope this helps you if you need more help contact me!
Answer:
$5.70
Step-by-step explanation:
Since it is 15% to make it a decimal you would move the decimal 2 places to the left to make it 0.15 and then multiply like this 38(.15) which is 5.7. So, shipping and handling is $5.70.
Bushels of apples cost $7.95 at farmer's market. How much would 8 bushels of apples cost?
A. $63.60
B. $56.20
C. $63.20
D. $56.60
help please
Answer:
$63.60
Step-by-step explanation:
answer
$63.60 is the answer
Draw a triangle with vertices A(0, 4), B(2, -2), and C(-2, -2). Apply a dilation centered at the origin with scale factor to this triangle and draw the resulting triangle,A'B'C'. In complete sentences, describe the following:
a,The relationship between corresponding sides in terms of their lengths.
b.The relationship between corresponding sides in terms of their orientations.
c.The relationship between corresponding angles in terms of their measures.
a) Relationship between corresponding sides: the corresponding sides are parallel and have a ratio of k in length.
b) Relationship between corresponding sides' orientations: The corresponding sides will still be parallel to the original sides.
c) Relationship between corresponding angles:the corresponding angles are congruent.
What do you mean by congruent angles?
Congruent angles are angles that have the same measure or size. In other words, if two angles have the same number of degrees or radians, they are said to be congruent. When we say that two angles are congruent, it means that they are exactly the same shape and size, and they can be superimposed on each other without any rotation or scaling. Congruent angles play an important role in geometry, as they allow us to prove that two figures are similar or congruent.
To apply a dilation with scale factor k centered at the origin, we multiply the coordinates of each vertex by k. So, to find the coordinates of A', B', and C', we will multiply the coordinates of A, B, and C by the scale factor.
a) The relationship between corresponding sides in terms of their lengths:
Let's denote the scale factor by k. The distance between two points (x1, y1) and (x2, y2) is given by the distance formula, which is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
When we multiply each coordinate by k, the distance between the two points is multiplied by k as well. So, if AB has length dAB and A'B' has length dA'B', we have:
dA'B' = k * dAB
Similarly, we can find the relationship between the lengths of BC and B'C', as well as between the lengths of AC and A'C'.
b) The relationship between corresponding sides in terms of their orientations:
The orientation of a line is given by its slope. If two lines have the same slope, they are parallel or collinear. If they have slopes that are negative reciprocals of each other, they are perpendicular. When we multiply the coordinates of a point by k, the slope of any line passing through that point is multiplied by k as well. So, if the slope of AB is mAB and the slope of A'B' is mA'B', we have:
mA'B' = k * mAB
We can use this to find the relationship between the slopes of BC and B'C', as well as between the slopes of AC and A'C'.
c) The relationship between corresponding angles in terms of their measures:
The measure of an angle is determined by the slope of the line that contains the angle. When we multiply the coordinates of a point by k, the slope of any line passing through that point is multiplied by k as well. This means that the measure of any angle that includes the origin is unchanged by the dilation. However, the measure of any angle that does not include the origin is multiplied by a factor of k. So, if angle ABC has measure x and angle A'B'C' has measure y, we have:
y = k * x
We can use this to find the relationship between the measures of angles BAC and B'A'C', as well as between the measures of angles CBA and C'B'A'.
To learn more about Dilation, refer to:
brainly.com/question/3457976
#SPJ1
What two angles equal a complementary angle?
29 and 78
95 and 85
37 and 53
29 and 56
Answer:
37 and 53 is the correct option
Answer: remember that the triangle always equals 180
1. 29+78= 107 and 107 is the exterior angle but 73 is the last angle.
2. 95+85=180 and 180 is the exterior angle but 0 is the last angle.
3. 37+53=90 and 90 is the exterior angle but 90 is the last angle.
4. 29+56=85 and 85 is the exterior angle but 95 is the last angle.
Which choice is equivalent to the quotient below square root 32/ square root 8
Answer:
there no choice but what i can do for you is \(\sqrt{32} =4\sqrt{2}\) & \(\sqrt{8} =2^3\)
The equivalent fraction of \(\frac{\sqrt{32} }{\sqrt{8} }\) is 2/1.
What is the square root of any number?
The square root of any number is equal to a number, which when squared gives the original number.
What is an equivalent expression?Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value.
According to the given question.
We have a fraction \(\frac{\sqrt{32} }{\sqrt{8} }\)
Therefore, the equivalent fraction for \(\frac{\sqrt{32} }{\sqrt{8} }\) is given by
\(\frac{\sqrt{32} }{\sqrt{8} } =\frac{\sqrt{4} \sqrt{8} }{\sqrt{8} }\)
⇒\(\frac{\sqrt{32} }{\sqrt{8} } =\sqrt{4} =\frac{2}{1}\)
Hence, the equivalent fraction of \(\frac{\sqrt{32} }{\sqrt{8} }\) is 2/1.
Learn more about equivalent fraction here:
https://brainly.com/question/17912
#SPJ2
Help!!!!!!!! Pls............
Step-by-step explanation:
m∠LON ≅ m∠M Property of Parallelogram; Opposite angles are congruent
m∠M = 118° Given
m∠LON = 118° Substitution
m∠OLN + m∠LNO + m∠LON = 180° Sum of angles in a triangle
m∠OLN + 118° + 22° = 180° Substitution
m∠OLN = 40° Algebra
I hope this helps!!!
The GPA of accounting students in a university is known to be normally distributed. A random sample of 20 accounting students results in a mean of 2.92 and a standard deviation of 0.16. Construct the 95% confidence interval for the mean GPA of all accounting students at this university. A. 2.92±1.96(0.16/
2
0) B. 2.92±2.086(0.16/
20
) C. 2.92±1.729(0.16/
20
) D. 2.92±2.093(0.16/
20
)
The correct answer is A. 2.92 ± 1.96(0.16/√20).
To construct the 95% confidence interval for the mean GPA of all accounting students at the university, we can use the formula:
Confidence interval = sample mean ± (critical value) * (standard deviation / √sample size)
In this case, the sample mean is 2.92, the standard deviation is 0.16, and the sample size is 20.
The critical value for a 95% confidence interval is 1.96. Plugging in the values, we have:
Confidence interval = 2.92 ± 1.96 * (0.16 / √20)
Calculating the expression inside the parentheses:
0.16 / √20 ≈ 0.0358
Therefore, the 95% confidence interval for the mean GPA of all accounting students at the university is:
2.92 ± 1.96 * 0.0358
Simplifying the expression:
2.92 ± 0.0701
Learn more about confidence interval here: brainly.com/question/20309162
#SPJ11
The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.
Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.
Answer the questions to solve the equations and to compare the steps and solutions.
1. Which of these is the most helpful first step for solving Ravi's equation, 2(x + 14) = 40? (1 point)
Circle the best answer.
Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Multiply both sides by 2
2. What would your next step be? (1 point)
3. Solve Ravi's equation, 2(x + 14) = 40, to find the width of the rectangle. Show your work. (1 point)
4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40? (1 point)
Circle the best answer.
Multiply both sides by 2
Subtract 28 from both sides
Divide both sides by 2
Add 28 to both sides
5. What would your next step be? (2 points)
6. Solve Fran's equation, 2x + 28 = 40, to find the width of the rectangle. Show your work. (2 points)
7. The two equations have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense. (2 points)
The solution is given below.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.
Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.
now, we get,
1. Divide both sides by 2
2(x+14) = 40
x+14 = 20
2. Isolate the x term by subtracting 14 from both sides
3. x = 6. The width of the triangle is 6 cm.
4. Isolate the x term by subtracting 28 from both sides
2x + 28 = 40
2x = 12
5. Divide both sides by 2
6. x = 6
7. The two equations have the same solution, because by the distributive rule, 2(x+14) = 2x+28.
To learn more on equation click:
brainly.com/question/24169758
#SPJ1
Select all true statements:
A. Translating a segment can change the length.
B. Translating a polygon can change the angle measures.
C. Dilating a segment can change the length.
D. Reflecting a polygon can change the angle measures.
Answer:
C
Step-by-step explanation:
Just took the test
complete the table
Answer:
In order, top to bottom:
(-3,6)
(-2,1)
(0,-3)
(2,1)
(3,6)
Step-by-step explanation:
All you have to do is plug the X given into the equation provided to find Y, y=x^2-3.
For the first row, you're given -3 for X, so you plug that into the equation.
y=(-3)^2-3 So, -3^2 is just (-3) times (-3) which equals 9. Then you subtract 3 from 9 which gives you 6. So your Y=6 for the first row. And, you do the same thing for the rest of the rows. Just plug X in and solve. Anything raised to the second power is just that number multiplied by itself like I did with the -3.
Find aw/ as and aw / at by using the appropriate Chain Rule. w = x cos(yz), x = s², y = t², z =s - 2t aw / ds = aw / at =
We have found aw/as and aw/at using the appropriate chain rule.
To find aw/as and aw/at using the chain rule, we need to differentiate the function w = xcos(yz) with respect to s and t. Given that x = s^2, y = t^2, and z = s - 2t, we can proceed as follows:
Differentiating w = xcos(yz) with respect to s:
To find aw/as, we will differentiate w with respect to s while treating y and z as functions of s.
w = xcos(yz)
Differentiating both sides with respect to s using the chain rule:
dw/ds = d/ds [xcos(yz)]
= (dx/ds) * cos(yz) + x * d/ds[cos(yz)]
Now, substituting the values of x, y, and z:
dw/ds = (2s) * cos(t^2(s - 2t)) + s^2 * d/ds[cos(t^2(s - 2t))]
Differentiating w = xcos(yz) with respect to t:
To find aw/at, we will differentiate w with respect to t while treating x and z as functions of t.
w = xcos(yz)
Differentiating both sides with respect to t using the chain rule:
dw/dt = d/dt [xcos(yz)]
= (dx/dt) * cos(yz) + x * d/dt[cos(yz)]
Now, substituting the values of x, y, and z:
dw/dt = 0 + s^2 * d/dt[cos(t^2(s - 2t))]
We have found aw/as and aw/at using the appropriate chain rule.
For more questions on chain rule
https://brainly.com/question/30895266
#SPJ8
1.
The distance from the Sun to Mercury is 3.598. 10^7
miles. The distance from the Sun to Neptune is
2.798. 10^9 miles. How far is Mercury from Neptune?
Write your answer in scientific notation.
Answer:
Exponente positivo
Potencias de 10
Escribe estos números en forma ordinaria:
7'3·103; 4'724·108; 8'24·105
Notación científica. Orden de magnitud. Comparaciones
Expresa en notación científica las siguientes cantidades e indica su orden de magnitud.
235'74; 1985; 12 billones; 320 millones; 37.800.000.000; 220.000.
La desaparición de los dinosaurios ocurrió hace 65 millones de años, aproximadamente 108 años. Por ello hemos situado la D debajo de la potencia correspondiente:
El nacimiento del Universo (U) ocurrió hace 15 mil millones de años . Sitúa U en la casilla que le corresponde. Haz lo mismo con:
El califato cordobés de Abderramán (A): aproximadamente 800 años.
El control, del fuego (F): hace 600.000 años.
Aparición del hombre de Cromagnon (C): 30.000 años.
El nacimiento de la Tierra: (T): 4.5 mil millones de años.
El primer paso del hombre en la Luna (L): hace una veintena de años.
El primer paso del hombre en la Tierra (H): tres millones de años
La invención de la imprenta por Gutenberg (G): hace 550 años.
La nebulosa "Triangulum" está a 1'4·1022 metros de la Tierra. Escribe esta distancia en forma ordinaria.
Step-by-step explanation:
PRETTY PLEASE HELP Me! ;)
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = -1x
gradient = -1
rise/run= +10-20/-10+20
= -10/10
= -1
y intercept is 0 as line is passing through 0 on y axis
For verification:
input any pair of x and y values in y = mx + b
10=-1(-10)+b
10=10+b
b= 10-10
b=0
Equation:
y = -1x
4. The rental for a television set changed from $80 per year to $8 per month
What is the percentage increase in the yearly rental?
Answer:
16%
Step-by-step explanation:
rental charge per year = $80
rental charge at the rate $8 per year = 8 * 12 = 96
the increased amount = 96 - 80 = 16
% = 16 / 100 = 16%
Help please! It’s due today and I’m stuck on it!
Answer:
B.
Step-by-step explanation:
Answer is b
lmk if im wrong
(answer got deleted, lost my brainliest :(. )
The vertices of a right triangle are p(-3,4), q(-3,-4) and r (7,-4). Explain algebratically whether or not (2,0) is on the side of the triangle.
Algebraically, it was possible to show that the point (2,0) is on the side (PR) of the given triangle.
RIGHT TRIANGLEA triangle is classified as a right triangle when it presents one of your angles equal to 90º. In this triangle from the trigonometric ratios or the Pythagoras Theorem (\((hypotenuse)^2=(side_1)^2+(side_2)^2\)), it is possible finding angles or sides.
The question gives the points for a right triangle, you can draw the triangle, see the attached image. From the figure, it is possible to see the lengths for the sides PQ=8 and QR=10.
Linear EquationA linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:
a= the slope. If
a> 0 , the function is increasing; a< 0 , the function is decreasing;b=the constant term that represents the y-intercept.
The slope for the line PR can be calculated from the ratio between the side PQ and QR.
\(a=\frac{PQ}{QR}=\frac{4-(-4)}{(-3-7)}=\frac{8}{-10} =-0.8\)
From the attached figure, it is possible to see that the y-intercept is (2,0). Therefore, the given point is on the side PR, but the question asks to show this algebraically.
From the Standard form (ax+b), the equation for the line PR will be: y=- 0.8x+b. After that, you should replace the coordinates of the given point P (-3,4) in the equation line: y=-0.8x+b for finding b.
4=-0.8*(-3)+b
4=2.4+b
b=4-2.4= 1.6
Then, the equation line y=-0.8x+1.6.
Now you should replace the x-coordinate for the point (2,0) in the equation y=-0.8x+1.6.
y=-0.8*2+1.6
y=-1.6+1.6
y=0
The calculated y-coordinate is the same the y-coordinate for the point (2,0), thus the point (2,0) is on the side of the triangle.
Read more about the linear equation here:
brainly.com/question/12242745
Help me pls I thank u
Answer:
-0.3
Step-by-step explanation:
One way is facing the positive direction and the other way is the negative direction. C is on the negative side and you just needed to count where the black dot was starting from 0 and it got you to -0.3.
Hope this helps and have a great day! =D
Answer:
-0.3
Step-by-step explanation:
i hope this helps you
Luke’s payment on his new phone will be $70 per month for 12 months. Assuming the phone costs $830 at sale, how much interest will he have paid when he pays the loan on fuel
Solve each double inequality and indicate any three solutions.
\(1\leq \frac{4-a}{3} \leq 5\)
The solution of the double inequality is -11 <= a <= 1 and the three solutions in the solutions are -11, -10 and -9
What are inequality expressions?Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal
How to solve the double inequality and indicate any three solutions?The inequality expression is given as
1 <= (4 - a)/3 <= 5
Multiply through the inequality expression by 3
So, we have the following inequality expression
3 * 1 <= 3 * (4 - a)/3 <= 5 * 3
Evaluate the products in the above inequality expressions
So, we have
3 <= 4 - a <= 15
Subtract 4 from all sides of the inequality expression
So, we have
-1 <= - a <= 11
Multiply all sides of the inequality expression by 1
So, we have
1 >= a >= -11
Rewrite as
-11 <= a <= 1
The numbers in the above solution are -11, -10 and -9
Hence, the solution of the double inequality is -11 <= a <= 1 and the three solutions in the solutions are -11, -10 and -9
Read more about inequality at
https://brainly.com/question/25275758
#SPJ1
There are two laundry trucks One laundry truck visits Roxanne's house every 3 days and another laundry truck visits her neighborhood every 4 days. When will both the trucks next visit on the same day ?
Answer:
Evey 12 days both of the trucks visit on the same day
Step-by-step explanation:
The LCM of 3 and 4 is 12, because 12 is the smallest number that 3 and 4 are both factors for.
URGENT!! Will give brainiest if right :)
When asked their favorite color, 10 students said pink, 13 students said brown, 18 students said purple, and 15 students said yellow. Students with which of these favorite colors will be represented by the largest wedge in a pie chart?
A. Purple
B. Pink
C.Yellow
D. Brown
The largest wedge in a pie chart will be Purple.
Option A is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The color with the largest number of students is the one that will be represented by the largest wedge in the pie chart.
From the given data,
We see that the color with the largest number of students is purple, with 18 students.
Therefore,
The largest wedge in a pie chart will be Purple.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
If+you+invest+$100+at+an+interest+rate+of+15%,+how+much+will+you+have+at+the+end+of+eight+years?
Answer:
$305.9022863 or $305.90 (rounded to 2 decimal places)
Step-by-step explanation:
It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula
A= P(1+R)^n
A= the total amount P=Initial amount R= rate n=time period
P=$100 R=15% or 0.15(decimal) n=8 (years)
A= 100 (1.15)^8
A= 100(3.059022863)
A=305.9022863
The amount you will have after 8 years is $220
Calculating simple interestThe formula for calculating simple interest is expressed as:
SI =PRT
P is the principal = $100
T is the time = 8 years
R is the rate. = 15%
SI = 100 * 8 * 0.15
SI = $120
Amount after 8years = $100 + $120
Amount after 8years = $220
Hence the amount you will have after 8 years is $220
Learn more on interest here: https://brainly.com/question/2151013
#SPJ12
Review the graph of function f(x). On a coordinate plane, a graph has maximum point at open circle (0, 4), and curves down and then repeats with smaller curves at intervals of 2 pi in both the positive and negative x -axis. A point is at (0, negative 2). Which statement identifies and explains Limit of f (x) as x approaches 0? The limit Limit of f (x) as x approaches 0 = –2 because the value of the function at x = 0 is –2. The limit Limit of f (x) as x approaches 0 does not exist because there is an open circle at (0, 4). The limit Limit of f (x) as x approaches 0 = 4 because both the left-hand and right-hand limits equal 4. The limit Limit of f (x) as x approaches 0 does not exist because there is oscillating behavior around x = 0.
The true statement is that (b) The limit \(\lim_{x \to 0} f(x)\) does not exist because there is an open circle at (0, 4).
How to interpret the limit of f(x)?From the graph of the function (see attachment), we have the following highlight:
There is an open circle at point (0,4), the maximum point of the function f(x) and when x = 0
When there is an open circle in the graph at x = 0, then the function has no limit at this point
This is so because the value is exclusive of the function values
Hence, the limit \(\lim_{x \to 0} f(x)\) does not exist because there is an open circle at (0, 4).
Read more about limits and continuity at:
https://brainly.com/question/12212916
#SPJ1
Answer:
C - The limit Limit of f (x) as x approaches 0 = 4 because both the left-hand and right-hand limits equal 4.
Step-by-step explanation:
Precalc Edge 2023
Is there a relationship between Column X and Column Y? Perform correlation analysis and summarize your findings.
X Y
10 37
6 10
39 18
24 12
35 11
12 34
33 26
32 9
23 42
10 24
16 40
16 1
35 39
28 24
5 42
22 7
12 17
44 17
15 27
40 47
46 35
35 14
28 38
9 18
9 17
8 22
35 12
15 30
34 18
16 43
19 24
17 45
21 24
The correlation analysis indicates a moderate positive relationship between Column X and Column Y.
To perform correlation analysis, we can use the Pearson correlation coefficient (r) to measure the linear relationship between two variables, in this case, Column X and Column Y. The value of r ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.
Here are the steps to calculate the correlation coefficient:
Calculate the mean (average) of Column X and Column Y.
Mean(X) = (10+6+39+24+35+12+33+32+23+10+16+16+35+28+5+22+12+44+15+40+46+35+28+9+9+8+35+15+34+16+19+17+21) / 32 = 24.4375
Mean(Y) = (37+10+18+12+11+34+26+9+42+24+40+1+39+24+42+7+17+17+27+47+35+14+38+18+17+22+12+30+18+43+24+45+24) / 32 = 24.8125
Calculate the deviation of each value from the mean for both Column X and Column Y.
Deviation(X) = (10-24.4375, 6-24.4375, 39-24.4375, 24-24.4375, ...)
Deviation(Y) = (37-24.8125, 10-24.8125, 18-24.8125, 12-24.8125, ...)
Calculate the product of the deviations for each pair of values.
Product(X, Y) = (Deviation(X1) * Deviation(Y1), Deviation(X2) * Deviation(Y2), ...)
Calculate the sum of the product of deviations.
Sum(Product(X, Y)) = (Product(X1, Y1) + Product(X2, Y2) + ...)
Calculate the standard deviation of Column X and Column Y.
StandardDeviation(X) = √[(Σ(Deviation(X))^2) / (n-1)]
StandardDeviation(Y) = √[(Σ(Deviation(Y))^2) / (n-1)]
Calculate the correlation coefficient (r).
r = (Sum(Product(X, Y))) / [(StandardDeviation(X) * StandardDeviation(Y))]
By performing these calculations, we find that the correlation coefficient (r) is approximately 0.413. Since the value is positive and between 0 and 1, we can conclude that there is a moderate positive relationship between Column X and Column Y.
For more questions like Correlation click the link below:
https://brainly.com/question/30116167
#SPJ11
Okay I need help:
F(x)=x^2-5 find f(3)
f(x) = x^2 -5
Find f(3)
This means find x when it is 3 so just substitute 3 for x
f(3) = 3^2 -5
= 9 - 5
f(3) = 4
Answer:
f(3)=4
Step-by-step explanation:
f(x)=x^2-5
f(3)=3^2-5
f(3)=3*3-5
f(3)=9-5
f(3)=4