The probability that all three wires will meet the specifications is approximately 0.173 .
Expected value (mean) of wire resistance = 0.13 ohms Standard deviation of wire resistance = 0.005 ohms
the probability for each wire, we need to standardize the range of resistance values using the expected value and standard deviation. We can use the Z-score formula:
Z = (X - μ) / σ
Z is the standard score (Z-score) X is the observed value (resistance) μ is the mean (expected value) σ is the standard deviation
For the lower specification of 0.10 ohms
Z1 = (0.10 - 0.13) / 0.005
For the upper specification of 0.17 ohms
Z2 = (0.17 - 0.13) / 0.005
Using a standard normal distribution table , we can find the probability associated with each Z-score.
Lower bound of standardized range = (0.10 - 0.13) / 0.005 = -0.06
Upper bound of standardized range = (0.17 - 0.13) / 0.005 = 0.80
Let's calculate the probabilities for each wire
P(z < -0.60) ≈ 0.2743
P(z < 0.80) ≈ 0.7881
Since we want the probability that all three wires meet the specifications, we need to multiply these probabilities together since the wires are selected independently.
P(all three wires meet specifications) = P(z < -0.60) × P(z < 0.80) × P(z < 0.80)
P(all three wires meet specifications) ≈ 0.2743 × 0.7881 × 0.7881 ≈ 0.1703
Therefore, the probability that all three wires will meet the specifications is approximately 0.173, or 17.3% .
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plz help me to do this
Between which two consecutive whole numbers does the length of the diagonal fall?
Which whole number is it closer to? Use the drop-down menus to show your answer.
Answer:
4 and 5, closer to 4
Step-by-step explanation:
From the diagram above,
length of the diagonal = √18
√18 = 4.2426406871192
√18 is between 4 and 5
√18 is more than 4 by .2426406871192 but not up to 5
Rounding up 4.2426406871192 to an 1 significant figure,
We have 4
This means, the length of the diagonal, √18 is between 4 and 5 but it is closer to 4
Answer:
4 and 5, closer to 4
Step-by-ste
\(\sqrt18=4.24\\\)
4.24 is closer to 4 than to 5
you can infer causality from a correlational result, but only when the r value is greater than
a.0
b.0.5
c.1
A correlational result can be used to infer causality, but only if the value of r is greater than 0.
What is infer causality?In statistics, a correlation coefficient is a measure of the strength and direction of the linear relationship between two variables. A positive correlation coefficient implies that two variables are related (as one variable increases, so does the other), whereas a negative correlation value shows that two variables are inversely related (as one variable increases, the other decreases).A correlation value of zero shows that no relationship exists between two variables. However, a correlation coefficient greater than 0 does not imply causality, meaning that it cannot be concluded that one variable causes changes in the other variable. Establishing causality requires additional evidence and methods such as experimental designs or causal inference techniques.To learn more about infer causality refers to:
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This is a test question for underdstanding this feature
Answer:
i didn't understand what your question is
I really need help on this please
Answer and Explanation:
The solution(s) of a quadratic are the point(s) where the function outputs 0. In other words, a solution to a quadratic is where it touches the x-axis.
Using a TI-84 calculator, we can find the solution to any function using the zero command.
To access this command:
press 2ndpress trace (because its 2nd function is calc)press 2 (because zero is calculate command 2)select a left bound (a line that is to the left of the solution)select a right bound (a line that is to the right of the solution)press enterthe Bears won 40 games and lost 24 while the Bulls won 32 games and lost eighteen which team has the higher wins?
Answer:
It looks like the Bears have the higher wins, as they won 40 games while the Bulls won only 32 games.
Solve the following LP model using graphical method: Maximize Z=x−2y
s.t.
x−y≥0
x+2y≤4
x≥0
y≥−1
The optimal solution is x = 2, y = 0, and the maximum value of Z is Z = 2 - 2(0) = 2. To solve the given linear programming (LP) model using the graphical method, we need to graphically represent the feasible region and find the optimal solution by maximizing the objective function.
Step 1: Graph the Constraints
We start by graphing each constraint individually on a coordinate plane.
The first constraint is x - y ≥ 0, which represents the line y = x. We can draw this line on the plane.
The second constraint is x + 2y ≤ 4. To graph this, we can rewrite it as 2y ≤ -x + 4 and then solve for y, which gives y ≤ (-1/2)x + 2. We can plot this line on the graph as well.
The third constraint x ≥ 0 represents the x-axis, and the fourth constraint y ≥ -1 represents the horizontal line y = -1.
Step 2: Identify the Feasible Region
The feasible region is the area where all constraints are satisfied. It is the intersection of the shaded regions formed by the constraints.
Step 3: Identify the Optimal Solution
To find the optimal solution, we need to maximize the objective function Z = x - 2y. The objective function is represented by a line with a positive slope.
By sliding the objective function line parallel to itself from left to right or right to left, we can observe the points of intersection between the objective function line and the feasible region. The point that gives the maximum value of Z within the feasible region is the optimal solution.
Step 4: Determine the Optimal Solution
By visually inspecting the graph, we can see that the objective function line will intersect the feasible region at the corner point (2, 0). This is the optimal solution for the given LP model.
Therefore, the optimal solution is x = 2, y = 0, and the maximum value of Z is Z = 2 - 2(0) = 2.
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Mariana has a points card for a movie theater.
a
• She receives 75 rewards points just for signing up.
• She earns 2.5 points for each visit to the movie theater.
• She needs at least 105 points for a free movie ticket.
Write and solve an inequality which can be used to determine x, the number of visits
Mariana can make to earn her first free movie ticket.
Answer:
75 + 2.5x ≥ 105
x = number of visits
Which expressions are equivalent to -6n + (-12) + 4n?
Choose all answers that apply:
А
4(n 3) – 6n
B
2(2n - 6)
None of the above
Each vertical cross-section of the triangular prism shown below is an isosceles triangle.
What is the height, h, of the triangular prism?
Round your answer to the nearest tenth.
The height is
units.
Answer: The height is 3 units.
Step-by-step explanation:
By using the give figure we can form right angle out of the whole figure with a base of 4 and an hypotenuse of 5.
By using this information we can use the Pythagorean Formula to find the height
a^2 + b^2 =c^2 a= base, b = height and c will be the hypotenuse.
4^2 + b^2 = 5^2 Solve for B
16 + B^2 = 25
-16 -16
b^2 = 9
b = \(\sqrt{9}\)
b = 3
The height, h, of the triangular prism is 3 units.
What is an isosceles triangle?Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.
Given that, vertical cross-section of the triangular prism shown in the given figure is an isosceles triangle.
Here, equal sides of an isosceles triangle is 5 units and base of the isosceles triangle is 8 units.
By using Pythagoras theorem,
5²=h²+4²
25=h²+16
h²=9
h=3
Therefore, the height, h, of the triangular prism is 3 units.
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laura's family is going on a vacation. they will drive 4,180 miles over the next two weeks. about how many miles will they drive on average each week?
Answer:
l auras family will drive 2090 miles watch week because you decide by 2 because there are 2 weeks
a factorial anova includes ______ independent variable(s). a. more than one b. only one c. only two d. only three or more
A factorial anova includes only three or more independent variable(s). A factorial ANOVA involves analyzing the effects of two or more independent variables on a dependent variable. Therefore, it requires at least three independent variables to be included in the analysis. The correct answer is d.
Factorial ANOVA is a statistical analysis method used to examine the effects of multiple independent variables on a dependent variable. It involves examining the main effects of each independent variable, as well as the interactions between them.
A factorial ANOVA is typically used when researchers are interested in examining the combined effects of multiple variables on a single outcome. The method can be used in a wide range of fields, from psychology to biology to engineering, and is particularly useful in experimental research designs.
Overall, factorial ANOVA is a powerful tool for analysing complex data and uncovering the underlying relationships between variables. So, the correct answer is D).
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State if the three numbers can be the measures of the sides of a triangle. 12, 18, 9
Triangle ABC
Apply rule of Cosin
If 12^ + 9^2 - 2•12•9 Cos X= 18^2
Then
144+ 81 - 216CosX = 324
CosX = (324 -225)/(-216) = 99/-216
CosX = -0.46
Then answer is YES, its a triangle because CosX only have values
between -1 and 1, and -0.46 is between them
Find the slope of the line graphed below.
Answer:
Slope: -3/5
Step-by-step explanation:
i really need help
please and thank you
The equation 70 + 9.5x = 184 represents the situation and the number of visits is 12 if Marques has a points card for a movie theater.
We define a linear equation.Any model that meets the algebraic equation y=mx+b is said to be linear. B is the slope, and m is the y-intercept. Since both y and x are distinct factors, the preceding sentence is commonly referred as a "mathematical model with two variables." Two-variable linear equations are referred to as bivariate equations. There are several applications for linear equations, all of which end in zero.
Here,
It is given that:
Marques has a points card for a movie theater. • He receives 70 rewards points just for signing up
Let x be the number of visits.
The linear equation can be framed as follows:
70 + 9.5x = 184
9.5x = 184 - 70
After solving the above linear equation in one variable:
9.5x = 114
x = 12
Thus, the equation 70 + 9.5x = 184 represents the situation and the number of visits is 12 if Marques has a points card for a movie theater.
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The table below represents the closing prices of stock TUV for the first five
days it was open. Using your calculator, what is the equation of exponential
regression that fits these data?
Day
1
2
3
4
5
Value
3.75
9.375
23.438
58.594
146.484
O A. y= 1.75 2.35*
OB. y= 2.5 3.5*
OC. y= 1.25.2.75*
OD. y= 1.5-2.5*
The equation of exponential regression that fits the data is given as follows:
y = 1.5(2.5)^x.
How to define an exponential function?An exponential function has the definition presented as follows:
y = ab^x.
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.To obtain the equation of exponential regression, we must insert the points of the data-set into a calculator.
The points are given as follows:
(1, 3.75), (4, 9.375), (3, 23.438), (4, 58.594), (5, 146.484).
Inserting these points into a calculator, the equation is given as follows:
y = 1.5(2.5)^x.
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Reflect shape A in the line y = x.
у
51
4
3
2
1
1
X
4
-5 -4 -3 -2 -1 0 1 2
2 3
-1
-2
A
-3
-4
-5
Looking at the description of the shape, The Reflect shape A in the line y = x, will then be (y, -x).
What does it mean to reflect a shape?The Reflecting of a shape implies that one should turn it over a mirror line.
Note that in doing this, each part of the shape is said to be moved to the other side of the mirror line and as such it still have to be the same with the same distance away from the line. The image attached shows the best form of the reflected shape in line y = x.
Note that if one reflect over the line y = -x, the x-coordinate and y-coordinate tends to alter places and are then negated the line y = x is the change to (y, x).
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scientific Notation helpppppp ;-;
Answer:
7
Step-by-step explanation:
\(2.8 \times {10}^{5} = 2.8 \times 100000 = 280000 \\ 4 \times {10}^{4} = 4 \times 10000 = 40000 \\ 280000 \div 40000 = 7\)
A survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a video game console, and 50 brought neither a microwave nor game console. A survey participant is randomly selected. Let M be the event the participant brought a microwave and let C be the event the participant brought a video game console. Organize these events in a two-way table. What is the probability that the participant did not bring a microwave or did not bring a console, P(MC or CC)?
0.10
0.29
0.39
0.90
Answer:
0.90
Step-by-step explanation:
I’m doing the unit test
Answer:
0.29
Step-by-step explanation:
The probability that they brought both is .90
The probability of neither is .29, which is what this question is asking
PLZ need serious HELP! No fake or dumb answers
Find the intersection point for the following linear functions.
f(x) = 2x + 3
g(x) = -4x − 27
A. (5,-7)
B. (5,13)
C. (-5,-10)
D. (-5,-7)
Answer:
D) (-5, - 7)
Step-by-step explanation:
Because both lines intersect, they must share a point (have same x and y coordinates).
\(2x + 3 = - 4x - 27\)
\(2x = - 4x - 30\)
\(6x = - 30\)
\(x = - 5\)
Substite x for - 5 in any of the equations to find the y coordinate.
\(y = 2( - 5) + 3 \)
\(y = - 10 + 3\)
\(y = - 7\)
The x coordinate for the intersection point is - 5 and the y coordinate is - 7. The intersection point is (-5, - 7)
what is the area of ABC
The answer of the given question based on the finding the area of the triangle of ABC the answer is the area of triangle ABC is approximately 62.82 square cm.
What is Triangle?A triangle is three-sided polygon with three angles. It is two-dimensional geometric shape, and one of basic shapes in geometry. A triangle can be classified based on length of its sides and measure of its angles. The sum of the interior angles of triangle are 180 degrees. Triangles are used in many fields, like mathematics, engineering, architecture, and art.
To find the area of triangle ABC, we can use the formula for the area of a triangle:
Area = (1/2) * base * height
where the base is one side of the triangle and the height is the perpendicular distance from the base to the opposite vertex.
In this case, we know that AB = 11 cm and AC = 17 cm, and angle A is 45 degrees. To find the height of the triangle, we need to use trigonometry.
First, we can find the length of BC using the Law of Cosines:
BC² = AB² + AC² - 2 * AB * AC * cos(A)
BC² = 11² + 17² - 2 * 11 * 17 * cos(45)
BC² = 156 - 265.42
BC² = 109.42
BC = 10.46 cm (rounded to two decimal places)
Now we can use the sine function to find the height of the triangle:
sin(A) = height / BC
height = BC * sin(A)
height = 10.46 * sin(45)
height = 7.39 cm (rounded to two decimal places)
Finally, we can use the area formula to find the area of the triangle:
Area = (1/2) * base * height
Area = (1/2) * 17 * 7.39
Area = 62.82 square cm (rounded to two decimal places)
Therefore, the area of triangle ABC is approximately 62.82 square cm.
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Answer the following questions accordingly:
(Don't copy examples)
Using the procedures and examples, the number 16 is a composite number
Checking for composite numbers using the procedures and examplesFrom the question, we have the following parameters that can be used in our computation:
The procedures and examples
Using the above as a guide, we have the following:
Number to be tested, p = 16
Integer, a = 3
Calculating the remainder using aᵇ ⁻ ¹/p, we have
aᵇ ⁻ ¹/p = 3¹⁶ ⁻ ¹/16
Evaluate
aᵇ ⁻ ¹/p = 3¹⁵/16
So, we have
aᵇ ⁻ ¹/p = 896806.6875
The above value is greater than 1
This means that the number 16 is a composite number
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Data were collected on the distance a hockey puck will travel when hit by a hockey stick at a certain speed. The speed, s, is measured in miles per hour, and distance, y, is measured in
yards. The regression line is given by 9 = 3.12 +61.02s.
Identify the slope and y-intercept of the regression line
The slope of the regression line is b=61.02 and y-intercept is a=3.12
What is meant by regression?Regression analysis is a set of statistical processes used to estimate the relationships between a dependent variable and one or more independent variables. Linear regression is the most popular type of regression analysis, in which one finds the line (or a more sophisticated linear combination) that best fits the data according to a certain mathematical criterion. The ordinary least squares method, for example, finds the unique line (or hyperplane) that minimizes the sum of squared discrepancies between the genuine data and that line (or hyperplane). This enables the researcher to estimate the
Given,
The regression line is y=3.12+61.02 s
Here the slope is b=61.02
The slope indicates that the distance is increased by 61.02 yards for every one mile per hour of the speed.
And the y-intercept is a=3.12
It is the distance estimated by this model if the speed is zero miles per hour.
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For which type of triangle are the incenter, circumeter, centroid, and orthocenter always inside the triangle?
A) right
B) acute
C) obtuse
D) isosceles
If the incenter, circumcenter, centroid, and orthocenter are always inside the triangle, the correct answer is an acute triangle (option B).
In an acute triangle, all three angles are less than 90 degrees. The incenter, which is the center of the inscribed circle, lies inside the triangle. The circumcenter, which is the center of the circumscribed circle, also lies inside the triangle.
The centroid, which is the point of intersection of the medians, is located inside the triangle as well. Finally, the orthocenter, which is the point of intersection of the altitudes, is inside the triangle in an acute triangle.
In contrast, a right triangle has one angle measuring 90 degrees, an obtuse triangle has one angle greater than 90 degrees, and an isosceles triangle has two equal side lengths. These types of triangles may have some of the points (incenter, circumcenter, centroid, orthocenter) located outside the triangle.
Therefore, the correct answer is option B, acute triangle.
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Chapter 4 Lesson 3 Solving System of Equations Using Elimination
The solutions for the system of equations: 7x - 4y = -12 and x - 2y = 4, x - y = 4 and 2x + y = 5, 4x - 3y = 17 and 2x - 5y = 5, 5x + 6y = -6 and 7x - 3y = -54
by elimination are respectively:
x = -4, y = -4
x = 3, y = -1
x = 5, y = 1
x = -6, y = 4
How to evaluate for the solutions of the equations by eliminationwe shall write the equations as:
7x - 4y = -12...(1)
x - 2y = 4...(2)
multiply equation (2) by 7 to get equation (3)
7x - 14y = 28...(3)
subtract equation (1) from (3) to eliminate x
7x - 14y - 7x + 4y = 28 + 12
-10y = 40
divide through by -10
y = -4
put the value -4 for y in equation (2) to get y
x - 2(-4) = 4
x + 8= 4
x = -4
x - y = 4...(1)
2x + y = 5...(2)
Add equations (1) and (2) to eliminate y
2x + y + x - y = 5 + 4
3x = 9
divide through by 3
x = 3
put the value 3 for x in equation (1) to get y
3 - y = 4
y = -1
4x - 3y = 17...(1)
2x - 5y = 5...(2)
multiply equation (2) by 2 to get equation (3)
4x - 10y = 10...(3)
subtract equation (3) from (1) to eliminate x
4x - 3y - 4x - 10y = 17 - 10
7y = 7
divide through by 7
y = 1
put the value 1 for y in equation (2) to get y
2x - 5(1) = 5
2x - 5 = 5
x = 5
5x + 6y = -6...(1)
7x - 3y = -54...(2)
multiply equation (1) by 7 to get equation (3) and equation (2) by 5 to get equation (4)
35x + 42y = -42...(3)
35x - 15y = -270...(4)
subtract equation (4) from (3) to eliminate x
35x + 42y - 35x + 15y = -42 + 270
57y = 228
divide through by 57
y = 4
put the value for y in equation (1) to get x
5x - 6(4) = -6
5x + 24 = -6
x = -6
Therefore, the solutions for the system of equations: 7x - 4y = -12 and x - 2y = 4, x - y = 4 and 2x + y = 5, 4x - 3y = 17 and 2x - 5y = 5, 5x + 6y = -6 and 7x - 3y = -54
by elimination are:
x = -4, y = -4
x = 3, y = -1
x = 5, y = 1
x = -6, y = 4
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what situations would solve by graphing be your preferred choice? Give an example.
In what situations would solve by substitution be your preferred choice? Give an example.
In what situations would solve by elimination be your preferred choice? Give an example.
Write a linear system that can be solved by any of the three methods.
Answer:
1) The solve by graphing will the preferred choice when the equation is complex to be easily solved by the other means
Example;
y = x⁵ + 4·x⁴ + 3·x³ + 2·x² + x + 3
2) Solving by substitution is suitable where we have two or more variables in two or more (equal number) of equations
2x + 6y = 16
x + y = 6
We can substitute the value of x = 6 - y, into the first equation and solve from there
3) Solving an equation be Elimination, is suitable when there are two or more equations with coefficients of the form, 2·x + 6·y = 23 and x + y = 16
Multiplying the second equation by 2 and subtracting it from the first equation as follows
2·x + 6·y - 2×(x + y) = 23 - 2 × 16
2·x - 2·x + 6·y - 2·y = 23 - 32
0 + 4·y = -9
4) An example of a linear system that can be solved by all three methods is given as follows;
2·x + 6·y = 23
x + y = 16
Step-by-step explanation:
prove algebraically that the recurring decimal 0.72 =8/11
Answer:
see explanation
Step-by-step explanation:
We require 2 equations with the recurring decimal placed after the decimal point.
let x = 0.7272.... (1) ← multiply both sides by 100
100x = 72.7272... (2)
Subtract (1) from (2) thus eliminating the recurring decimal
99x = 72 ( divide both sides by 99 )
x = \(\frac{72}{99}\) = \(\frac{8}{11}\)
Answer:
true
Step-by-step explanation:
because 8÷11=0.72
72÷10
=8÷11
=0.72
Matthews Co. acquired all of the common stock of Jackson Co. on January 1, 2012. As of that date, Jackson had the following trial balance:
Debit Credit
Accounts payable $60,000
Accounts receivable $50,000
Additional paid - in capital 60,000
Buildings - net (20 -year life) 140,000
Cash and short-term investments 70,000
Common stock 300,000
Equipment - net (8-year life) 240,000
Inventory 110,000
Land 90,000
Long-term liabilities (mature 12/31/14) 180,000
Retained earnings, 1/1/12 120,000
Supplies 20,000
Totals $720,000 $720,000
During 2012, Jackson reported net income of $96,000 while paying dividends of $12,000. During 2012, Jackson reported net income of $132,000 while paying dividends of $36,000.
Assume that Matthews Co. acquired the common stock of Jackson Co. for $588,000 in cash. As of January 1, 2012, Jackson's land had a fair value of $102,000, its building were valued at $188,000, and its equipment was appraised at $216,000. Any excess consideration transferred over fair value of assets and liabilities acquired is due to an unrecorded patent to be amortized over 10 years. Matthews decided to use the equity method for this investment.
//Required
1. Prepare Excess Allocation Worksheet/Amortization Calculations for date of acquisition.
2. Prepare consolidation worksheet journal entries for December 31,2012 and December 31, 2013.
3. Prepare consolidation worksheet for December 31, 2013 only - either balance sheet only or balance sheet and retained earnings statement. (See next page for 12/31/13 financial information for both companies.)
December 31, 2913 Financials Matthews Jackson
Cash 185,000 105,000
Accounts Receivable 225,000 175,000
Inventory 175,000 145,000
Supplies - 30,000
Buildings 474,000 135,000
Equipment 925,000 210,000
Land 90,000
Investment in Jackson 754,800
Patent
Total 2,738,800 890,000
Accounts payable 175,000 65,000
Long-term liabiliies 771,000 165,000
Common stok ($1 par value 100,000 300,000
Additional paid-in capital 300,00 60,000
Retained earnings 1,392,800 300,000
Total 2,738,800 890,000
1. On December 31, 2012, the consolidation worksheet journal entries for Matthews Co. are as follows
:Investment in Jackson account is debited for $55,000Patent account is credited for $18,000Common stock account is credited for $20,000Additional paid-in capital account is credited for $13,000The amount that is shown as the credit for the common stock account is $20,000, which is the result of multiplying the number of shares that Jackson has by the par value of the shares. Matthews Company records the difference between the purchase price and the book value as goodwill. The patent account is credited for $18,000, which is the result of multiplying the $60,000 book value of the patent by 30%.
2. On December 31, 2013, the consolidation worksheet journal entries for Matthews Co. are as follows
:Investment in Jackson account is debited for $48,000Goodwill account is credited for $10,000Retained earnings account is credited for $38,000Matthews Company records the difference between the purchase price and the book value as goodwill. Retained earnings are credited for the amount of Jackson Company's net income for the year.
3. The consolidation worksheet for December 31, 2013, is as follows
: ASSETSCash $45,000Accounts Receivable 60,000Inventory 110,000Equipment 240,000Investment in Jackson 672,000Total Assets $1,127,000LIABILITIESAccounts Payable $85,000Long-term debt 240,000Total Liabilities $325,000OWNERS' EQUITYMatthews Co. Common Stock $400,000Matthews Co. Additional Paid-In Capital 60,000Matthews Co. Retained Earnings 267,000Jackson Co. Common Stock 100,000Jackson Co. Additional Paid-In Capital 300,000Jackson Co. Retained Earnings 75,000Total Owners' Equity $1,202,000Total Liabilities and Owners' Equity $1,527,000
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Which of the following best describes the slope of the line below?
O A. Undefined
B. Zero
C. Positive
D. Negative
Answer:
I believe it would be A: Undefined
The answer is A. Undefined.
When the value of slope is a lot. The graph will head toward the y-axis. More values, more to y-axis. So we don't know what is the slope when the graph is like this but classified as undefined
How would the information collected using transect or quadrat sampling differ from the information collected if you had just divided the habitat into quarters and sampled only one of the quarters
I feel that dividing based off actual zoning laws and regulations would provide the best source of data. I feel as such because if you simply devise your own areas, that may make your data incorrect depending on what area a person actually associates with. If you're creating your own area, information could get misconstrued leading to inaccurate conclusions.
Sampling
Sampling means selecting the group that you will actually collect data from in your research.
zoning
Zoning is a method of urban planning in which a municipality or other tier of government divides land into areas called zones, each of which has a set of regulations for new development that differs from other zones.
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