When Mandy tossed a fistful of silver coins into the air, then picked up the 23 coins that landed heads up, this isn't a random sample of the coins.
What is a random sample?In statistics, a simple random sample is a subset of individuals chosen at random from a larger set, with all individuals having the same probability. It is the process of selecting a sample at random.
A simple random sample is a subset of a population chosen at random. This sampling method gives each member of the population an exact equal chance of being chosen, reducing the risk of selection bias.
In this case, Mandy only picked heads, this isn't a random sample since it's biased.
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Which statement best explains whether the equation y = 2x − 4 represents a linear or nonlinear function?
The equation represents a linear function because it has an independent and a dependent variable, each with an exponent of 1.
The equation represents a linear function because it has an independent and a dependent variable, each with an exponent of 1.
The equation represents a nonlinear function because it has an independent and a dependent variable, each with an exponent of 1.
The equation represents a nonlinear function because its graph contains the points (0, 2), (2, 3), and (4, 4), which are not on a straight line.
The equation represents a linear function because it has an independent and a dependent variable, each with an exponent of 1.
What is linear equation?
Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable.
Given, the equation y = 2x -4
Which is linear function and have y a dependent variable and x be the independent variable,
because value of y depends upon the value of x.
Hence, a is the correct answer.
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Answer: A
Step-by-step explanation: Trust me
Has the marrying age of a man changed over the years? the united states bureau of the census takes a formal count of everyone in the u. S. Every 10 years and has provided the following data that gives the median age of an american man at the time of his first marriage. Year 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 median age 25. 1 24. 6 24. 3 24. 3 22. 8 22. 8 23. 2 24. 7 26. 1 26. 8 determine the average rate of change in median age per year from 1950 to 1990.
The average rate of change in median age per year from 1950 to 1990 is 0.085 years of age per year.
The median is the mid-value in a set of data. to find it we first arrange the data set from smallest to largest, then pick the middle value which divides the data set in half.
From the given table,
The median age at the time of the first marriage in 1950 = 22.8 years,
While the median age in 1990 = 26.1 years,
Hence, the average rate of change in median age per year from 1950 to 1990
= (22.8-26.1)/(1950-1990)
= (-3.3)/(-40)
= 0.0825 years of age per year.
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The volume of this cone is 83.7 cubic meters. With a height of 5m. Find the DIAMETER. SHOW ALL WORK
The volume of this cone is 83.7 cubic meters and the given height 5m then diameter 3.99 m.
What is Volume?
Volume is a measurement of three-dimensional space that is occupied. Numerous imperial or US customary units, as well as SI-derived units (such the cubic meter and liter), are frequently used to quantify it numerically (such as the gallon, quart, cubic inch).
Volume and length (cubed) have a symbiotic relationship. The volume of a container is typically thought of as its capacity, not as the amount of space it takes up. In other words, the volume is the amount of fluid (liquid or gas) that the container may hold.
Given that ;
volume of cone = [tex]\pi r^{2} \frac{h}{3}[/tex]
volume of cone = 83.7 [tex]m^3[/tex]
height = 5m
to find diameter :
[tex]d = \sqrt{\frac{3\times V}{\pi \times h} }[/tex]
[tex]d=\sqrt{\frac{3\times 83.7}{3.14\times 5} }[/tex]
[tex]d = \sqrt{\frac{251.1}{15.7} }[/tex]
[tex]d = \sqrt{15.993}[/tex]
d = 3.99 m
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Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Select three choices. Josiah’s Music Sample 1 Sample 2 R & B 5 R & B 4 Pop 4 Pop 3 Classical 3 Classical 5 Jazz 2 Jazz 4 Rock 6 Rock 4 Josiah’s work: StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction. StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction. 300 = x. He should have found the average of the number of rock songs by averaging 4 and 6 to get 5. He did not multiply the numerator and denominator by the correct number to equal 1,500. His answer will be one-half of what he got because he did not divide 10 by 2 when setting up the proportion. He can only solve the proportion by multiplying the numerator and denominator by a common multiple. He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500.
answer Asap!!!!!!!!!!!!
The three statements about his solution that are true include the following:
1. He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.
2. He did not multiply the numerator and denominator by the correct number to equal 1,500.
5. He should have multiplied the numerator and denominator by 75, not 30, because 20 × 75 = 1,500.
How to determine the true solutions?Based on the information provided, a mathematical expression which models the number of songs of each genre on Josiah's MP3 player to be 300 songs:
10/20 = x/1500
Multiplying the mathematical expression by 75, we have the following:
75 × (10/20) = x/1,500
750/1500 = x/1500
1,500x = (750 × 1,500)
x = (750 × 1,500)/1,500
x = 750.
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Write an equation for a rational function with:
Vertical asymptotes at x = -5 and x = -2
x intercepts at x = -1 and x = 6
y intercept at 4
y =
The rational equation with the desired asymptotes and intercepts is given by: f(x) = [-20(x²-5x-6)] / [3(x² 7x + 10)].
What are the asymptotes of a function f(x)?Vertical asymptotes are x values that are outside the domain and, in a fraction, are the denominator zeroes.
As long as this value differs from infinity, the horizontal asymptote is the value of f(x) as x approaches infinity.
The vertical asymptotes are related to the denominator roots, so:
f(x) = a / ( x + 5)( x + 2 )
f(x) = a / ( x² + 7x + 10 )
The x-intercepts are related to the function's numerator, so:
f(x) = [a( x + 1 )( x - 6) ] / [x² + 7x + 10 ]
The y-intercept is to find a, hence, when x = 0, y = 5, thus:
4 = a(-6)/ 10
a = (-40/6)
a = -20 / 3
The equation will be written as,
f(x) = [-20(x²-5x-6)] / [3(x² 7x + 10)].
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Examine the table, which represents a linear function.
Input (x) Output (y)
−3 14
0 7
3 0
6 −7
What is the initial value of the function?
Responses
3
−3
77
0
The initial value of the function obtained from the table of values for the linear function is; 7
What is a linear function?A linear function is a function that when plotted, produces a straight line on the coordinate plane.
The initial value of a function is the value of the function, when the input value is 0.
The initial value indicates the point where the graph intersects the y-axis, which is the y-intercept. It the point the graph enters quadrant I, where the x and y-values are positive.
From the initial value, and to the right of the x-axis, the input variable (x) is positive, such that the values of the function for natural value input, such as time can be found, and the initial value then represents the start of the measurement of the output values of the function.
The data in the table indicates that when the input variable x = 0, the output variable, y = 7
Therefore:
The initial value of the function is 7Which indicates that at the initial point of the positive value inputs of the function, the output is 7
Question details are:
Please find the table of the linear function, which is to be examined, presented as follows:
[tex]\begin{array}{|c|c|}In put (x) & Out put (y)\\-3 &14 \\0 & 7 \\3 & 0 \\6 & -7 \\\end{vmatrix}[/tex]
The initial value of the function that the above table represents is required.
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The following histogram shows part of the probability distribution of the size (in megatons of released energy) of large meteors that hit the Earth's atmosphere. (A large meteor is one that releases at least one megaton of energy, equivalent to the energy released by a small nuclear bomb.)
That a large meteor will release at least 6 megatons of energy.The following histogram shows part of the probability distribution of the size (in megatons of released energy) of large meteors that hit the Earth's atmosphere. A large meteor is one that releases at least one megaton of ene equivalent to the ene released nuclear bomb a Sma A Probability 026 023 020 018 17 015 013 012 3 4 6 8 90 10 13 14 15 16 17 Energy (megatons) Calculate or estimate the following probabilities. (Round your answers to three decimal places.) (a) That a large meteor hitting the Earth's atmosphere wi release between 1 and 4 megatons of energy. 0.304 (b) That a large meteor hitting the Earth's atmosphere will release between 9 and 10.5 m of energy. 0.029 (c) That a large meteor will release at least 6 megatons of energy. 0,387
a) Probability that Meteor will release between 1 and 4 megatons of energy: 0.304
b) Probability that Meteor will release between 9 and 10.5 megatons of energy: 0.029
c) Probability that Meteor will release at least 6 megatons of energy: 0.613
What is histogram?
The spread and size of the data are measured using histograms. We can virtually analyse the data based on the histogram.
From the Histogram we get:
a) Probability that Meteor will release between 1 and 4 megatons of energy= P [X=1 to X=4]
= [0.156+0.088+0.060]
=0.304
b) Probability that Meteor will release between 9 and 10.5 megatons of energy= P [X=9 to X=10.5]
= [0.020+0.009]
=0.029
c) Probability that Meteor will release at least 6 megatons of energy = 1- P[X≤5]
= 1-P [X=1 to X=5]
= 1- [0.156+0.088+0.060+ 0.046+0.037]
= 0.613
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Find the difference 4 3/12 - 2 8/12
Answer:19/12 or 1 7/12
Step-by-step explanation:
51/12 - 32/12=19/12
1 7/12
Answer:
1 7/12
Step-by-step explanation:
4 3/12 - 2 8/12
First, subtract the integers:
2 3/12 - 8/12
Since 3/12 cannot subtract 8/12, we can take 1 from the 2 and turn it to 12/12 to add to our 3/12:
1 15/12 - 8/12
Simplify:
1 7/12
PLEASE MARK AS BRAINLIEST!The interior angles of a polygon are the angles formed inside a polygon by two adjacent sides. The sum S of the measures of the interior angles of a polygon with n sides can be found using the formula S = 180(n - 2). The sum of a polygon’s interior angle measures is 1260°. How many sides does the polygon have?
The number of sides in the polygon that has 1,260° as the sum of the interior angles, found using the formula for the sum of the interior angles in the polygon, S = 180·(n - 2) is 9 sides
What is a polygon in geometry?A polygon is a figure consisting of a specified number of straight sides such that they form a closed loop. The number of sides in a polygon are three or more.
The formula for the sum of the interior angles of a polygon, S, can be be used to find the number of sides in the polygon as follows;
S = 180·(n - 2)
Where;
n = The number of sides the polygon has
The sum of the interior angles in the specified polygon = 1,260°
The number of sides in the polygon can be found by equating the formula for S to 1,260° as follows;
When S = 1.260°, we get;
1,260 = 180·(n - 2)
Which indicates;
n - 2 = 1,260 ÷ 180 = 7
Therefore; n - 2 + 2 = 7 + 2 = 9
n = 9
The number of sides in the polygon that has a sum of the interior angles as 1,260° is therefore, n = 9 sidesLearn more about polygons here:
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a punch recipe calls for 1 1/2 quarts of sparkling water and 3/4 of a quart of grape juice. how much of each ingredient would you need to make 75 quarts of punch?
50 quarts of sparking water and 25 quarts of grape juice are needed for 75 quarts of punch.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that a punch recipe calls for 1(¹/₂) quart of sparkling water and 3/4 of a quart of grape juice.
The ratio of sparkling water to grape juice is,
1(¹/₂) : (3/4 quarts) = (3/2) : (3/4) = 2 : 1
The amount sparkling water in the total volume is 2 : (2+1) = 2/3 of the total volume. For a volume of 100 quarts, the sparkling water content is
2/3 · 75quarts = 50 quarts
Then the grape juice content is,
1/3 · 75 quarts = 25 quarts
Therefore, 50 quarts of sparking water and 25 quarts of grape juice are needed for 75 quarts of punch.
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On the 5th grade class picnic , 50 students share 75 sandwiches equally. How many sandwiches does each student get
Answer:
75÷50
Step-by-step explanation:
1.5 or 3÷2 is the correct answer
Scott bought a desktop computer and a laptop computer. Before finance charges and the laptop cost $350 more than the desktop. He paid for the computers using two different financial plans. For the desktop the interest rate was 6.5% per year and for the laptop it was 9% per year. The total finance charges for one year for $388. How much did each computer cost before finance charges
The cost of laptop and cost of desktop are; $1,800 and $2,100 respectively.
What are mathematics operations?A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value.
From the question , we are given that the laptop costs $350 more than the desktop, therefore,
let x represent the cost of the laptop thus, x-350 will be the cost of the desktop .
The total finance charge of $388 is equal to 8% of the cost of the laptop and 7.5% of the cost of the desktop, we solve as;
388 = 0.08(x) + 0.075(x - 350)
252 = 0.08x + 0.075x - 26.25
278.75 = 0.155x
x = 278.75/0.155
x = 1798
Recall that the cost of desktop = x -350
therefore:
1,798- 350 = 1448
The cost of laptop = $1798
The cost of desktop = $1448
Thus, the cost of laptop and cost of desktop are; $1,800 and $2,100 respectively.
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visit your local library: on a recent saturday, a total of 1343 people visited a local library. of these people, 253 were under age 10, 466 were aged 10-18, 174 were aged 19-30, and the rest were more than 30 years old. one person is sampled at random. (a) what is the probability that the person is less than 19 years old? (b) what is the probability that the person is more than 10 years old? part 1 of 2 (a) what is the probability that the person is less than 19 years old? round your answer to four decimal places.
Probability of people less than 19 year old = 0.5343
Probability of people greater than 10 year old = 0.8116
What is probability?
Mathematical descriptions of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the probability of an event, with 0 roughly denoting impossibility and 1 denoting certainty.
People under age 10 = 253
People between the age of 10-18 = 466
People between the age of 19-30 = 174
People above the age of 30 = 450
Total no. of people = 1343
a) people less than 19 years old = 253+466 = 719
probability of people<19 year old = P(age<19) = 719/1343 = 0.5354
b) people of age greater than 10 = 466+174+450 = 1090
probability of people >10 year old = P(age>10) = 1090/1343 = 0.8116
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Composition of functions worksheet
using f(x) = 8x squared and g(x) (2x+8), find:
The composition of the function are as follows:
(g ∘ g) (x) = 4x + 16
(f ∘ g) (x) = 16x + 64
f [g(7)] = 6x - 28
g [f(3)] = -30x - 10
What is a Composite Function?
If we are given two functions, we can compose one function into the other to produce a third function. The steps needed to complete this operation are the same as those needed to solve any function for any given value. These are referred to as composite functions.
We have,
i] f(x) = 8x and
g(x) = (2x+8)
(g ∘ g) (x) = g[g(x)]
Substitute x with (2x+8) in the function g(x) = (2x+8).
= 2((2x+8))+8
= 4x + 16
(f ∘ g) (x) = f [g (x)]
Substitute x with (2x+8) in the function f(x) = 8x.
(f ∘ g) (x) = 8(2x+8)
= 16x + 64
ii] f(x) = 6x + 2 and g(x) = x -5
f [g(7)] = 6(x-5) + 2
= 6x - 28
g [f(3)] = (6x + 2 ) - 5
= -30x - 10
Hence, the composition of the function is:
(g ∘ g) (x) = 4x + 16
(f ∘ g) (x) = 16x + 64
f [g(7)] = 6x - 28
g [f(3)] = -30x - 10
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What is the slope of the line?
to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-1)}}} \implies \cfrac{4 +3}{3 +1} \implies {\Large \begin{array}{llll} \cfrac{7 }{ 4 } \end{array}}[/tex]
suppose you are performing a hypothesis test with σ unknown, n=22, α=0.05, and the following hypotheses: h0: μ = 24 h1: μ ≠ 24 what is the decision rule?
Reject H0 if the test statistic is less than -1.321 or greater than 1.321 .
What is a hypothesis simple definition?
A tested assertion regarding the relationship between two or more variables .
a theory put out to explain an observed occurrence is referred to as a hypothesis (plural: hypotheses) in a scientific context.
Reject H0 if the test statistic is less than -1.321 or greater than 1.321 .
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What is the solution to the equation One-fourth x minus one-eighth = Start Fraction 7 Over 8 End Fraction + one-half x?
x = negative 5
x = negative 4
x = 4
x = 5
The solution to the equation represented by One-fourth x minus one-eighth = Start Fraction 7 Over 8 End Fraction + one-half x is (b) x = negative 4
How to determine the solution to the equation?The statement in the question is given as
One-fourth x minus one-eighth = Start Fraction 7 Over 8 End Fraction + one-half x
Mathematically, this statement can be represented as
1/4x - 1/8 = 7/8 + 1/2x
Multiply through the equation by 8
So, we have:
2x - 1 = 7 + 4x
Collect the like terms
4x - 2x = -1 - 7
Evaluate the like terms
2x = -8
Divide both sides by 2
x = -4
Hence, the solution is -4
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A linear function is shown on the graph. What is the domain of the function?
{x | −4 < x < 6}
{x | −4 < x ≤ 6}
{y | −1 < y < 4}
{y | −1 < y ≤ 4}
The domain of the function is{x | −4 < x < 6}.
What is domain ?A function's domain is the set of all potential inputs.
For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.
What is range?
The statistical difference between the highest and lowest values for a given data collection is called the range.
For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3. It is possible to think of the range as the distance between the highest and lowest observation as a result.
the domain of the function is{x | −4 < x < 6} because
there is no restriction on x domain and range both are the set of real numbers.
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Find the solution(s) of the system of equations. y = x2 + 4x y + x2 = –4x
A)
(0, 0)
B)
(–4, 0) and (4, 0)
C)
(–4, 0) and (0, 0)
D)
(0, 0) and (4, 0)
The table shows the weights of apples at a grocery store.
Answer:
Is that all
_______
_______
The best fitting line is one where the intercept of the regression equation: a, is closest to zero. slope of the regression equation,
b, is closest to zero. residual sum of squares is closest to zero.
c. variance of Y is large.
The best fitting line is one where the intercept of the regression equationrResidual sum of squares is closest to zero. So the option c is correct.
In the given question,
The best fitting line is one where the intercept of the regression equation:
Intercept of the regression equation, a, is closest to zero. Slope of the regression equation, b, is closest to zero. Residual sum of squares is closest to zero.variance of Y is large.As we know that;
The slope of the line of best fit is the coefficient in a simple regression with a single independent variable. The slope is a mixture of the two coefficients in this example and in any regression with two independent variables. The y-intercept of the line of best fit is constant C.
So, the best fitting line is one where the intercept of the regression equationrResidual sum of squares is closest to zero. So the option c is correct.
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Which expression is equivalent to (6x^-9x) - (2x - 3)?
The equivalent expression of (6x² - 9x) - (2x -3) is 6x² - 11x + 3
What is an equivalent expression?Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.
In other words, equivalent expressions are expressions that have similar value or worth but do not look the same.
To find equivalent expression we can simplify the expression.
Therefore,
(6x² - 9x) - (2x -3)
open the brackets
6x² - 9x - 2x + 3
combine like terms
Therefore,
(6x² - 9x) - (2x -3) = 6x² - 11x + 3
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Add and subtract mixed number with like/unlike denominators
Step by step 5th grade work
Answer: 11 14/15
Step-by-step explanation:
Simplify an expression for the perimeter of the rectangle.
Answer:
P = 16w - 4
Step-by-step explanation:
P = (5w-2 + 3w)2
P = (8w-2)2
P = 16w - 4
Julio says, "If you subtract 17 from my number and multiply the difference by -3, the result is -9." What is Julio's number?
Answer:
23
Step-by-step explanation:
Taking an algebraic approach
let the number be n, then (n - 17) is 17 subtracted from the number, and -2(n - 17) = - 12 ( divide both sides by - 2 )n - 17 = 6 ( add 17 to both sides ) which is n=23
Write the equation of the given line in slope intercept form
The equation of the line in slope-intercept form is: y = 5/2x.
What is the Slope-intercept Form of a Line?If the value of the slope of the line is represented by m, and y-intercept of the line is b, therefore, the equation of the line in slope-intercept form can be written as: y = mx + b.
The slope of the line (m) = rise/run = 5/2
m = 5/2
The line intercepts the y-axis at 0. The y-intercept therefore is b = 0.
To write the equation of the line, substitute m = 5/2 and b = 0 into y = mx + b:
y = 5/2x + 0
y = 5/2x
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which of the following functions of xx is guaranteed by the extreme value theorem to have an absolute maximum on the interval [0,4][0,4] ?
X=pi/2 only in the interval 0 to 4 . We have the maximum value of f(x) = sinx = 1
What is function interval ?
If the value of the function f (x) grows with an increase in the value of x, the function interval is said to be positive.
The function interval, on the other hand, is said to be negative if the value of the function f (x) decreases as the value of x increases.
First of all to apply the extreme value theorem function must be countions at the interval 0 to 4.
F(x)=(x^2-16)/(x^2+x-20) is countinious int the given interval .
Now we find
F'(x)= d(F(x))/dx=1/(x+5)^2 so here we don't have in critical point therefore this choice is incorrect
Similarly if we take
F(x)= sinx
F'(x) = cosx
For critical point ,
Cosx =0
X=pi/2 only in the interval 0 to 4
And this point we have the maximum value of f(x) = sinx = 1
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Write the given expression as a single trigonometric function. 2 sine (startfraction 3 pi over 8 endfraction) cosine (startfraction 3 pi over 8 endfraction)
The single trigonometric function form of the expression is 2sin(3π/8) cos(3π/8).
Trigonometric function:
In math, trigonometric functions are the periodic functions which denote the relationship between angle and sides of a right-angled triangle.
Given,
Here we need to write the given expression as a single trigonometric function. 2 sine (start fraction 3 pi over 8 end fraction) cosine (start fraction 3 pi over 8 end fraction)
Here we have the expression,
2 sine (start fraction 3 pi over 8 end fraction) cosine (start fraction 3 pi over 8 end fraction)
Now, we have to convert this into the form of trigonometric function,
For that we have to rewrite the given expression based on the arithmetic operators, then we get the resulting function as,
=> 2sin(3π/8) cos(3π/8).
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Answer:C
Step-by-step explanation:
did it on edge
is the statement a valid null hypothesis?
A null hypothesis is a particular kind of statistical hypothesis that asserts that no statistical significance can be found in a given set of observations.
What is meant by null hypothesis?A null hypothesis is a particular kind of statistical hypothesis that asserts that no statistical significance can be found in a given set of observations. The use of sample data in hypothesis testing allows one to judge a hypothesis' veracity.
The null hypothesis states that the estimate is only based on chance. If the observed data (in the sample) do not differ from what would be predicted solely by chance, then the null hypothesis is true. The alternative hypothesis is what the null hypothesis has as its counterpart.
Two population parameters, such as an independent variable and a dependent variable, are said to be unrelated under the null hypothesis. It's possible that an experimental or sampling error caused the result if the hypothesis indicates a relationship between the two parameters.
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Use a calculator to perform the indicated operations. Round the result to two decimal places.
[tex]
19.42-34.8(19.3)+10.23+5.78
[/tex]
Using PEMDAS to solve the mathematical expression, the result is -637.947
Mathematical OperationThe mathematical operation refers to calculating a value using operands and a math operator. The symbol of the math operator has predefined rules to be applied to the given operands or numbers.
In this kind of problem, we need to use the PEDMAS rule which is
Parenthesis, Exponents, Division, Multiplication, Addition and Subtraction.
The order in which this must be prioritized is from parenthesis and the least is subtraction.
Applying PEMDAS to this mathematical operation, we would have
19.42 - 34.89(19.3) + 10.23 + 5.78
Using a calculator which follows this rule, we would have;
19.42 - 34.89(19.3) + 10.23 + 5.78 = -637.947
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