Ramona’s mistake was she just substituted the 8.5 for the wrong variable.
From given conditions:
Ramona used the regression equation y = 444x - 21.29,
where x represents height and y represents shoe size,
According to Romana her answer is incorrect as a man who is -17.52 inches tall does not predict the approximate height of a man.
The 8.5 refer to shoes size, not height.
So substituting 8.5 for the x-variable is wrong, because x refers to height and y represents shoe size.
Therefore, Ramon just substituted the 8.5 for the wrong variable. She must replace 8.5 for y-variable, because that's the right one for shoe size.
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In case you don't see the picture:
What is the decimal form of form of -1 1/12
A. -1.083 (bar notation on 3) THE CORRECT ONE.
B -1-083 (barnotation on 83)
C -1-083 (bar notation on 083
D -1-083
Greg chose C as the correct answer. How might he have gotten that answer. !!!!!!!!!!!!!!!!
HELP ME PLEASEEEE! WHY DID GREG CHOOSE THATT.
The decimal form of the -1 1/12 is obtained by finding the sum of -1 and -1/12 (-1/12 = -0.08[tex]\overline{3}[/tex] a recurring decimal), which is the option A
A. -1.08[tex]\overline{3}[/tex]
What is a recurring decimal?A recurring decimal is a decimal that has a digit or a group of digits that is continuously repeated in the decimal.
The specified expression, -1 1/12, can be presented as follows;
[tex]-1\dfrac{1}{12}[/tex]
The value of the specified expression in decimal form is therefore;
[tex]-1\dfrac{1}{12}= -1+\left( - \dfrac{1}{12}\right)[/tex]
[tex]- \dfrac{1}{12} = -0.08\overline{3}[/tex]
The fraction -1/12, therefore consist of a recurring decimal, with the 3 in the thousandth place after the 8 being the part that repeats.
Therefore, the value of the expression, [tex]-1+\left( - \dfrac{1}{12}\right)[/tex] is -1 + (-0.08[tex]\overline{3}[/tex])
-1 + (-0.08[tex]\overline{3}[/tex]) = -1.08[tex]\overline{3}[/tex]
The specified expression is therefore;
[tex]-1\dfrac{1}{12}[/tex] = -1 + (-0.08[tex]\overline{3}[/tex]) = -1.08[tex]\overline{3}[/tex]
The correct option is option A
A. -1.08[tex]\overline{3}[/tex]The option C. -1.[tex]\overline{083}[/tex] is incorrect, the correct option is option A
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A square has an unknown side length, 2x. Write a simplified expression for its perimeter (distance around the
outside of an object. Remember, side plus side plus...)
The simplified expression for its perimeter and area are 8x.
What is the perimeter of a square?The perimeter of a square is the sum of the lengths of all the sides of a square. Thus, by summing the lengths of a square's four sides, we can get its perimeter.
An equal number of sides make up a square. As a result, the side of a square is added four times to determine the square's perimeter.
The formula for finding the Perimeter of square = 4*a
= 4 * 2x
= 8x
Perimeter of square = 8x
Hence, the simplified expression for its perimeter is 8x
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Please help I have a learning disablity and need help with this.
Use Distribute Property to rewrite the algebraic expression.
5(x - 10)
Answer here _________
The value of the expression using the distributive property is 5x + 50.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
5 (x - 10)
The distributive property of multiplication over addition states that,
a x (b + c) = a x b + a x c
Now,
5 (x - 10)
= 5x + 5 x 10
= 5x + 50
Thus,
The expresssion is 5x + 10
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What scale factor was used to create the dilation below centered at point C?
Answer:
-2
Step-by-step explanation:
You want to know the dilation scale factor that gives triangle A'B'C from triangle ABC.
Scale factorWe notice that point A' is 4 units down and 2 units right of C, whereas A is 2 units up and 1 unit left of C. The ratio of these distances is the scale factor.
If up and right are positive, then ...
k = (A' -C)/(A -C) = (2, -4)/(-1, 2) = -2
The dilation scale factor is -2.
50x4-(3 divided by 2)
198.5 is the answer
50X4-(3÷2)=198.5
Answer: 198.5
Step-by-step explanation:
= 50x4-(3 divided by 2)
= 50x4-(3/2)
= (50 x 4) - ( 3/2 )
= (200) - (3/2)
= 200 - 1.5
= 198.5
Jake and Blake began their journey from the same location at the same time. Jake's rate is 50 mph and Blake's rate is 60 mph. How many hours will it take for Blake to get 70 miles ahead of Jake
Answer: 7 hours
Step-by-step explanation: blake is gains 10 more miles then Jake each hour so if you divide 70 by 10 you get 7.
The lowest ratio for 54 m in 2.5 hours.
The lowest ratio for 54 m in 2.5 hours will be:
= 54 / 2.5 is 21.6 : 1.
How to illustrate the ratio?Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
This simply indicates that you're dividing the variable A by B. Let USA say for instance, the ratio will be 3/10 if A is 5
3 and B is 10.
In this case, the lowest ratio for 54 m in 2.5 hours will be:
= 54 / 2.5.
= 21.6 / 1
= 21.6:1
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What is the measure of ∠A if it is congruent to ∠B?
If measure of angle A is congruent to measure of angle B, then angle will be equal to angle B.
Define the term congruent angles?Angles that really are identical to each other are referred to as congruent angles (and to themselves).
Angles that are congruent can also be acute, obtuse, exterior, and interior. No matter what kind of angle you have, if indeed the measure for angle one and angle two are the same, the angles are congruent.Two or more angles must have equal measurements in degrees as well as radians to be considered congruent. Congruent angles don't have to be created with the same figures or face the same direction (rays, lines, or the line segments). Both angles are congruent if the two measurements of the angles are equivalent.Thus, if measure of angle A is congruent to measure of angle B, then angle will be equal to angle B.
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What is the value of x if the points A 4 3 and B x 5 are on the circle with Centre O 2 3?
The value of x with points A ( 4, 3 ) and B ( x ,5 ) on the circle and O(2,3) as centre is equal to 2.
As given in the question,
Points A(4,3 ) and B ( x, 5 ) are on the circle.
Centre of the circle is represented by O( 2,3)
OA and OB represents the radius of the circle.
This implies
OA = OB
Using distance formula we get,
√ ( 2 - 4 )² + ( 3 - 3 )² = √ ( 2 - x )² + ( 3 - 5 )²
⇒ √ 4 + 0 = √ 4 - 4x + x² + 4
⇒4 = 4 - 4x + x² + 4
⇒4 - 4x + x² = 0
⇒ ( x - 2 )² = 0
⇒ x - 2 = 0
⇒ x = 2
Therefore, the value of x for the given point of the circle is equal to 2.
The above question is incomplete , the complete question is :
What is the value of x , if the points A(4, 3) & B(x, 5) are on the circles with Centre O(2, 3), find the value of x.
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What is the value of tan θ?
The value of tan 1 is 45 degree.
tangent is the trigonometric ratio.
we can find out the value of tangent by taking opposite side of the theta angle divided by the adjacent side of the theta angle.
tan Q = perpendicular of triangle /base of triangle.
sine theta divided by cos theta gives the value of tan theta.
tan Q = sin Q/ cos Q.
some formula of the tan Q are as follows,
1- tan Q = sin Q/cos Q
2- tan Q= 1 /cot Q
3-tan^2 Q =sec^2 Q -1
4- tan(90 - Q)=cot Q
5- tan (Q+π)=tan Q
6- tan (π-Q)=-tan Q
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(I NEED THIS RIGHT AWAY!) (PLS HELP) Lynette earns $5 by delivering newspapers. She saves $3 and she spends the rest. If she saved $27 one month, how much did she spend?
Answer:
$18
Step-by-step explanation:
To find how many times she has saved money, you would do 27/3=9. This means that she worked 9 times. Since she worked 9 times, she earned $45 in total. To find how much she saved you would do 45-27=$18
Add the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of a. Add: 3a 3 8a - 6 and 4a 2 - 9a 11
Adding the polynomial 3a³ + 8a - 6 and 4a² - 9a + 11 gets 3a³ + 4a² - a + 5.
The answer in descending powers of a is 3a³ + 4a² - a + 5.
A polynomial is a mathematical expression consisting of a sum of powers in one or more variables (indeterminates) with non-negative integer exponents.
Adding the polynomial 3a³ + 8a - 6 and 4a² - 9a + 11
(3a³ + 8a - 6) + (4a² - 9a + 11) = 3a³ + 4a² - a + 5
The coefficients of a³, a², a and 1 is 3, 4, -1 and 5 respectively.
Descending powers of a in the polynomial is a³, a², a. So the answer in descending powers of a is 3a³ + 4a² - a + 5.
--The question is incomplete, answering to the question below--
"Add the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of a.
Add: 3a³ + 8a - 6 and 4a² - 9a + 11"
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What is an example of substitution method?
Substitution method is a method used to solve equations. It involves replacing a variable with its given value, which helps to isolate it and solve for the unknown. For example, if we have the equation 2x+5=17, we can solve for x by substituting 17 for 2x+5 and then subtracting 5 from both sides to obtain x=12.
The substitution method is a technique used to solve systems of equations. An example of the substitution method would be solving the system of equations:
x + 2y = 5
3x + 6y = 15
First, solve the first equation for x:
x = 5 - 2y
Substitute the expression for x into the second equation:
3(5 - 2y) + 6y = 15
Simplify:
15 - 6y + 6y = 15
Solve for y:
15 = 15
Now substitute the value of y back into the expression for x:
x = 5 - 2(3)
Solve for x:
x = -1
Therefore, the solution to the system of equations is:
x = -1, y = 3
Substitute x in equation 1 into equation 2, solve, then substitute y back into equation 1.
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A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly.After 11months he weighed 140 Kilograms. He gained weight at rate of 5.5 kilograms per month.
Let y represent the sumo wrestler’s weight (in kilograms)after x month.
Complete the equation for the relationship between the weight and number of months.
The equation that shows the relationship between the weight and number of months. y = 79.5 + 5.5x
What is weight ?In science and technology, the weight of an object is the force acting on an object due to gravity. Some standard textbooks define weight as a vector quantity, the gravitational force acting on an object. Others define weight as a scalar quantity, the magnitude of gravitational force. Still others define it as the size of the reaction force applied to the body by mechanisms resisting the influence of gravity: weight is a quantity measured, for example, by a spring balance.
Given that ; Total Month = 11 months
Gained weight at the rate = 5.5 kilograms per month.
Assume initial weight W,
The initial weight + total month x rate = 140
w + 11 x 5.5 = 140
w = 79.5
if y is total weight after x months
y = 79.5 + 5.5x
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Is N2 the same as 2N?
Therefore, N2 and 2N are not equal, they are different mathematical expressions.
What are expressions?A finite collection of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.
What are symbols?A mark, sign, or term that denotes, denotes, or is taken to denote a concept, an item, or a connection is known as a symbol. By connecting seemingly unrelated ideas and events, symbols let individuals look beyond the known and the visible.
No, N2 and 2N are not the same.
N2 is the square of N, which means it is N multiplied by itself. For example, if N = 5, then N2 = 5*5 = 25.
2N, on the other hand, is N multiplied by 2. For example, if N = 5, then 2N = 5*2 = 10.
So, N2 and 2N are not equal, they are different mathematical expressions.
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How do you graph LN functions?
We will plot the graph for a LN function by keeping in mind that the domain must be greater than 0.
What is LN function?LN means natural logarithm. LN function denotes natural logarithm function. It has also another name, logarithm of base e.
It is expressed as
y = ㏑x that is the inverse of
the natural base exponential function
y = ex
How do we graph LN function?If we have a logarithm function, f(x) = y = ln x
while plotting with the above function, ln x can be found for only the positive value of x and there is no value of ln x for negative values.
The properties of the graph of the LN function are following.
The domain of the LN function is only the real numbers that means x > 0.
The ranges of the LN function are all real number.
The coordinate of x intercept of the LN function is (1, 0).
The graph of LN function will be such that it will never touch the Y axis although it always approaches to it.
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Jess and Brian are playing the following game: Jess thinks of a fraction, and Brian flips a coin. If the coin turns up heads, Jess multiplies the number she's thinking of by $\frac{5}{6}$. If the coin turns up tails, she multiplies the number she's thinking of by $\frac{6}{5}$. Brian flips the coin ten times, and after each flip Jess multiplies the number in her head by either $\frac{5}{6}$ or $\frac{6}{5}$, depending on the coin flip. The ten coin flips turn out to be:\[ \text{THTTHTHTTT}, \]where H means 'heads' and T means 'tails.' What number is Jess thinking of at the end of the game if she starts out with the fraction $\frac{5}{9}$
Starting out with the fraction of 5/9, Jess would be thinking of the fraction 144/125 at the end of the game if the ten coin flips turn out to be {THTTHTHTTT}.
What is the probability of getting H or T in a coin flip?Since both outcomes are equally likely, the probability of getting heads is 0.5 and the probability of getting tails is also 0.5. Alternatively, the probability of getting H or T in a coin flip is 1.
What is the significance of probability?Probability is an important method for comprehending and making judgments regarding uncertain occurrences in many disciplines, including statistics, finance, and science. It aids in quantifying and forecasting the probability of specific events, enabling us to make better educated choices and comprehend the degree of risk involved with various activities. In summary, probability is a key idea in decision-making and risk management because it is a potent instrument for comprehending and managing uncertainty.
Taking the sequence of coin flips in ten tires, i.e THTTHTHTTT , and starting from the fraction 5/9, the fraction that jess would be thinking at the end of the game can be calculated as,
5/9 * (6/5)^7 *(5/6)^3 , since there are 7 Tails and 3 Heads during the whole game. Which is equal to the fraction 144/125.
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For each equation determine whether it has no solutions, exactly one solution, or is true
for all values of x (and has infinitely many solutions). If an equation has one solution, solve
to find the value of x that makes the statement true.
a. 6r+8 = 7x + 13
b6r + 8 = 2(3x + 4)
c. 6r+8 = 6r+ 13
For the given equations , the solutions are as follows :
(a) the equation [tex]6x + 8 = 7x + 13[/tex] has exactly one solution , and the solution is .
(b) the equation [tex]6x + 8 = 2(3x + 4)[/tex] has Infinitely Many Solutions .
(c) the equation [tex]6x + 8 = 6x + 13[/tex] has No Solution .
Equation (a) ;
the equation is given as [tex]6x + 8 = 7x + 13[/tex] , we solve the equation further ,
we get ;
[tex]7x - 6x = 13 - 8[/tex] ;
[tex]x = 5[/tex] ;
So , the equation has exactly one solution and the solution is [tex]x = 5[/tex] .
Equation (b) ;
the equation is given as [tex]6x + 8 = 2(3x + 4)[/tex] , we solve equation further ,
we get ;
[tex]6x + 8 = 6x + 8[/tex] ;
On solving further ,
we have ;
[tex]8 = 8[/tex] ;
So , the equation has infinitely many solutions .
Equation (c) ;
the equation is given as [tex]6x + 8 = 6x + 13[/tex] , we solve equation further ,
we get ;
[tex]8 = 13[/tex] ;
and we know that [tex]8\neq 3[/tex] ,
So , the equation have No Solution .
The given question is incomplete , the complete question is
For each equation determine whether it has no solutions, exactly one solution, or is true . for all values of x (and has infinitely many solutions). If an equation has one solution, solve to find the value of x that makes the statement true.
(a) 6x + 8 = 7x + 13
(b) 6x + 8 = 2(3x + 4)
(c) 6x + 8 = 6x + 13
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What is an example of a similarity transformation geometry?
We refer to the enlargement or reduction of one of two figures as a similarity transformation. For example: When one of two figures can be produced from the other and the ratio of their corresponding sides is equal, we say that the two figures are comparable. Similar figures come in a variety of sizes and shapes.
Either a geometric similarity or a matrix transformation that produces a likeness are referred to as "similarity transformations" in this context. Space items are changed into comparable things by similarity transformations. Fractals and iterated function systems are based on essential principles such as similarity transformations and the idea of self-similarity.
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There are 2 pitchers of iced tea. The iced tea in the 1st one was made with 4 tea bags and 1.25 quarts of water. The iced tea in the second pitcher was made with 5 tea bags and 2 quarts of water. Which pitcher has a higher concentration of tea? Why?
Answer:
Pitcher 2
Step-by-step explanation:
Pitcher 1 = 4 x 1.25 = 5ml concentration
Pitcher 2 = 5 x 2 = 10ml concentration
therefore, pitcher 2 has more concentration :)
hope this helped
What is the degree of the polynomial 7x3 5x 4x5 2x2?
The degree of the polynomial as calculated from the given data7x³ + 5x + 4x⁵ + 2x² is 5 .
The given polynomial is 7x³ + 5x + 4x⁵ + 2x²
To find the degree of the polynomial we will write the equation down in the descending power of x
which is ,
4x⁵ + 7x³ + 2x² + 5x
Here , the highest power of the variable that appears with nonzero coefficient is 5.
So ,degree of the polynomial is said to be 5.
The hightest power of the variable in a polynomial is known as the degree of the polynomial. A polynomial expression is made up of constants and variables.
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Someone please help me on this & I promise I’ll make sure you get points
The common factors and the greatest common integer for each pair of numbers are:
Common prime factors Greatest common factor
30, 45 3 and 5 5
40, 70 2 and 5 5
63, 42 3 and 7 7
81, 54 3 3
33, 99 3 and 11 11
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
30 and 45
3 x 5 x 2 = 30
3 x 3 x 5 = 45
Common prime factors = 3 and 5
Greatest common factor = 5
40 and 70
2 x 5 x 4 = 40
2 x 7 x 5 = 70
Common prime factors = 2 and 5
Greatest common factor = 5
63 and 42
3 x 3 x 7 = 63
2 x 3 x 7 = 42
Common prime factors = 3 and 7
Greatest common factor = 7
81 and 54
3 x 3 x 3 x 3 = 81
2 x 3 x 3 x 3 = 54
Common prime factors = 3
Greatest common factor = 3
33 and 99
3 x 11 = 33
3 x 3 x 11 = 99
Common prime factors = 3 and 11
Greatest common factor = 11
Thus,
Common prime factors are given above.
The greatest common factor is given above.
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How can you solve inequalities explain and give an example?
To Solve the inequalities , we take the variables on a side and the numbers on the other side and then apply mathematical operations to solve it .
What is Inequality ?
The Inequality is defined as a relationship between two values that are not equal to each other .
The method of solving the inequalities is a little different than solving equations.
To solve the inequalities, some simple rules should be followed .
(i) The inequality does not change if any number or variable is added or subtracted from both sides.
Similarly, the value of inequality is not affected if the same number is multiplied on both the sides.
(ii) If the inequality is divided by a negative variable or number on both sides, then the inequality sign gets reversed.
(iii) On dividing inequality by a positive number, there is no change.
For Example : Solve the inequality [tex]4x+6 > 3x+7[/tex] ;
subtracting [tex]3x[/tex] from both the sides ,
we get ;
[tex]x+6 > 7[/tex],
Now subtracting [tex]6[/tex] from both sides of the inequality;
we get ;
[tex]x > 1[/tex] .
Therefore , the solution of the inequality [tex]4x+6 > 3x+7[/tex] is [tex]x > 1[/tex] .
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One way to compute a 15% tip for a bill is to multiply it by 0.15. A restaurant bill was $36.20. Calculate the tip.
if x-3 is directly proportional to the square y and x=5 when y=2 find x when y=6
Answer:
If x-3 is directly proportional to the square of y, then we can say that:
(x-3) = ky^2
Where k is a constant of proportionality.
If x=5 when y=2, we can substitute these values into the equation to find the value of k:
(5-3) = k(2)^2
2 = 4k
k = 0.5
Now that we have the value of k, we can use it to find the value of x when y=6:
(x-3) = (0.5)(6)^2
x-3 = 18
x = 21
So, if x is directly proportional to the square of y and x=5 when y=2, then x=21 when y=6.
Give three solutions of the inequality
6 - 11x < 61
Answer:
x > -5
( -5, ∞)
Step-by-step explanation:
6 - 11x < 61
Subtract 6 from both sides
-11x < 55
Divided both side by -11. When divided by a negative number the < switch to >
So, the answer is
x > -5
Or
(-5, ∞)
The population of a city in 2010 is 50,000, and it grows by 5% each year after.
a. Write a function of f which models the population of the city' years after 2010.
b. What is the population of the city in 2017?
c. What will the population of the city be in 2020? What about in 2030?
d. By what factor does the population grow between 2010 and 2020? What about between 2020 and 2030?
a. A function that models the population of the city's years after 2010 is:
f(x) = 50,000 * (1 + 0.05)^(x-2010)
where x is the number of years after 2010.
b. The population of the city in 2017 (7 years after 2010) is:
f(2017) = 50,000 * (1 + 0.05)^7
= 65,128
c. The population of the city in 2020 (10 years after 2010) is:
f(2020) = 50,000 * (1 + 0.05)^10
= 76,923.1
The population of the city in 2030 (20 years after 2010) is:
f(2030) = 50,000 * (1 + 0.05)^20
= 129,382
d. The population in 2020 is 76,923.1, and the population in 2010 is 50,000, so the population grows by:
= 76,923.1 / 50,000
= 1.53846
The population in 2030 is 129,382, and the population in 2020 is 76,923.1, so the population grows by:
= 129,382 / 76,923.1
= 1.6859
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What must be added to the polynomial 2x³ 3x² 8x so that it leaves a remainder 10 when divided by 2x 1?
To find the remainder 10 when dividing 2x³ 3x² 8x by 2x 1, the polynomial must be augmented with -12.
What is polynomial?A polynomial is an expression that consists of variables, exponents, and coefficients. It is a mathematical function composed of two or more terms, each of which is a number or a variable multiplied by an exponent. It can be used to represent a variety of relationships in mathematics, including equations, linear functions, quadratic functions, and more.
Therefore, the polynomial that will leave a remainder 10 when divided by 2x 1 is 2x³ 3x² 8x -12.
This is because if we divide the polynomial by 2x 1, the remainder will be the last term of the resulting polynomial, which is -12.
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help me i need help helppppppppppppppp
Answer:
You have to draw a graph.
Step-by-step explanation:
Multiply all of your sides together to figure out the area then plot the points.
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. After
11
11
11
11
months, he weighed
140
140
140
140
kilograms. He gained weight at a rate of
5.5
5.5
5.5
5, point, 5
kilograms per month.
Let
y
y
y
y
represent the sumo wrestler's weight (in kilograms) after
x
x
x
x
months.
Complete the equation for the relationship between the weight and number of months.
The equation of line is given by y = 13.45x - 7.95 where the slope of the line is m = 13.45 and y is the weight in kilograms , x is the number of months
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
The weight in kilograms = y
The number of months = x
Let the first point be represented as P = P ( 11 , 140 )
Let the second point be represented as Q = Q ( 1 , 5.5 )
Now , the slope of the line is given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 140 - 5.5 ) / ( 11 - 1 )
Slope m = 134.5 / 10
Slope m = 13.45
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 140 = 13.45 ( x - 11 )
On simplifying the equation , we get
y - 140 = 13.45x - 147.95
Adding 140 on both sides of the equation , we get
y = 13.45x - 7.95
when x = 11 months
y = 13.45 ( 11 ) - 7.95
y = 147.95 - 7.95
y = 140 kilograms
Therefore , the value of A is y = 13.45x - 7.95
Hence , the equation is y = 13.45x - 7.95
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