The area of bedroom rug is 15 square feet. the longer side measures 5 feet. his living room rug is twice as long and twice as wide as the bedroom rug.
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.Take a pencil and draw a square on a piece of paper. It is a 2-D figure. The space the shape takes up on the paper is called its Area. Now, imagine your square is made up of smaller unit squares. The area of a figure is counted as the number of unit squares required to cover the overall surface area of that particular 2-D shape. Square cms, square feet, square inches, square meters, etc., are some of the common units of area measurement.To find out the area of the square figures drawn below, draw unit squares of 1-centimeter sides. Thus, the shape will be measured in cm², also known as square centimeters.To learn more about square centimeters refer to:
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Pls help me with solving systems of linear equations by elimination
Answer:
Step-by-step explanation:
A. 2x = -6
x = -3
3 + y = 5
y = 2
(-3, 2)
-9 - 2 = -11
-11 = -11
3 + 2 = 5
5 = 5
B. 4x + 2y = 1
6x + 4y = 1
-8x - 4y = -2
6x + 4y = 1
-2x = -1
x = 1/2
4(1/2) + 2y = 1
2 + 2y = 1
2y = -1
y = -1/2
-2(-1/2) + 3 = 4(1/2) + 2
1 + 3 = 2 + 2
4 = 4
6(1/2) + 4(-1/2) = 1
3 - 2 = 1
1 = 1
C.
-x + 32y = -25
4x + 8y = 100
-4x + 128y = -100
136y = 0
y = 0
-x = -25
x = 25
(25, 0)
32(0) - 25= -25
-25= -25
5(25) = 100 + 25 - 8(0)
125 = 125
D.
3x + 2y = 6
4x + 5y = -20
-12x - 8y = -24
12x + 15y = -60
7y = -84
y = -12
2(-12) + 3x = 6
-24 + 3x = 6
3x = 30
x = 10
(10, -12)
2(-12) + 3(10) = 6
-24 + 30 = 6
6 = 6
4(10) + 5(-12) + 20 = 0
40 - 60 + 20 = 0
-20 + 20 = 0
0 = 0
Fatuma recently hired a roofer to do some necessary work. On the final bill, Fatuma was charged a total of $1449. $315 was listed for parts and the rest for labor. If the hourly rate for labor was $63, how many hours of labor was needed to complete the job?
(A) First write an equation you can use to answer this question. Use x as your variable and express any percents in decimal form in the equation.
The equation is
(B) Solve your equation in part (A) to find the number of labor hours needed to do the job.
Answer: The number of labor hours was
(A) The equation is:
$63[tex]x[/tex] = $1449 - $315
(B) The labor hours needed to complete the job was 18 hours.
STEPS TO FIND TIME OF THE COMPLETE JOBS(A) To find the number of labor hours needed to complete the job, we can set up an equation using the information given in the problem.
We know that the total bill was $1449, and $315 of that was for parts. So the remaining amount, $1449 - $315 = $1134, was for labor.We also know that the hourly rate for labor was $63. To find the number of hours needed for labor, we can divide the amount for labor by the hourly rate:$63[tex]x[/tex] = $1449 - $315
[tex]x[/tex] = ($1134 / $63)
Solving this equation gives us the number of hours needed for labor, which is 18 hours. We can check this by multiplying 18 hours by the hourly rate, which should give us the same amount for labor:[tex]x[/tex] = ($1134 / $63)
= 18 hours
Double check for:18 hours × $63 = $1134
This confirms that 18 hours is the correct number of labor hours needed to complete the job.
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What is the slope of the line passing through the points − 3 4 and 2 − 1?
Therefore, the slope of the line passing through the points (-3,4) and (2,-1) is -1
What is a Straight Line?
A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things. The term "line" may also be used to describe a line segment in daily life that contains two locations that serve as its endpoints.
Define Slope.A line's steepness may be determined by looking at its slope. The slope is computed mathematically as "rise over run" (change in y divided by change in x). Also, The slope of a line is known as "m", is the ratio of the change in the y-coordinate to the change in the x-coordinate of two points on the line.
To find the slope of a line passing through the points (-3,4) and (2,-1), we can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
So, using the given points:
m = (-1 - 4) / (2 - (-3))
m = -5 / 5
m = -1
Therefore, the slope of the line passing through the points (-3,4) and (2,-1) is -1
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What does r equal?
Answer: r = ________
Answer:
[tex]r=\sqrt{\frac{3V}{\pi h} }[/tex]
Step-by-step explanation:
[tex]V=\frac{1}{3} \pi r^2h[/tex]
Lets solve for [tex]r[/tex].
Multiply both sides of the equation by 3.
[tex]3V=\pi r^2h[/tex]
Divide both sides of the equation by [tex]\pi h[/tex].
[tex]\frac{3V}{\pi h} =r^2[/tex]
Take the square root of both sides.
[tex]\sqrt{\frac{3V}{\pi h} } =r[/tex]
What is the inverse of φ?
The inverse of a function is a function that "undoes" the original function. If f is a function and x is an element in the domain of f, then the inverse of f is denoted as f^-1(x) and is defined as the element in the domain of f such that f(f^-1(x)) = x.
The symbol "φ" (phi) is not a commonly used notation for any function. It is a Greek letter and can be used in different fields such as physics, mathematics, and engineering to represent different things depending on the context.
It is important to note that not all functions have inverses. A function has an inverse only if it is a bijective function, which is a function that is both injective and surjective, meaning that it maps every element of the domain to a unique element in the range and vice-versa.
So to find the inverse of a function, you have to first make sure that the function is bijective. If so, you can find the inverse function by switching the positions of x and y, then replacing y with f^-1(x) or x with f^-1(y) and solving for the new x or y.
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Using a pencil
, pair of compasses and ruler, construct a triangle with sides 7cm,5cm and 6cm.
Measure the size of the angle between the 5cm and 7cm sides to the nearest degree.
The angle between the 5cm and 7cm sides to the nearest degree should measure approximately 71 degrees.
To construct a triangle with sides 7cm, 5cm and 6cm, start by drawing a straight line of 7cm length using the ruler. Next, use the compasses to draw an arc from one end of the line, with a radius of 5cm. Then, draw another arc from the same point of the line, with a radius of 6cm. Where the arcs intersect, draw a straight line connecting them to complete the triangle.
To measure the size of the angle between the 5cm and 7cm sides, use the compasses to draw a small arc from the vertex of the angle, and measure the angle using the ruler. To ensure accuracy, divide the angle into smaller, easier-to-measure angles. Repeat the process until the angle is measured to the nearest degree. In this case, the angle between the sides of 5cm and 7cm is approximately 71 degrees.
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A group of friends wants to go to the amusement park. They have no more than $90 to spend on parking and admission. Parking is $16.50, and tickets cost $10.50 per person, including tax. Use the drop-down menu below to write an inequality representing pp, the number of people who can go to the amusement park.
The inequality representing p, the number of people who can go to the amusement park, is given as follows:
10.5p + 16.5 ≤ 90.
How to build the inequality?The inequality for this problem is build considering the linear cost function, defined in slope-intercept format as follows:
C(p) = mp + b.
In which the parameters are given as follows:
m is the slope, representing the cost of the ticket per person.b is the intercept, representing the cost of parking.Parking is $16.50, and tickets cost $10.50 per person, hence the numeric values of the slope and the intercept are given as follows:
m = 10.50, b = 16.50.
Thus the cost function is given as follows:
C(p) = 10.5p + 16.5.
They have no more than $90 to spend on parking and admission, hence the inequality is defined as follows:
C(p) ≤ 90.
10.5p + 16.5 ≤ 90.
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I need some help on the "round to the next period" part. What exactly is the answer then? Thank you!
The time period it will take a principal of $25000 to grow int $28500 at a rate of 4% is approximately 3 years
What is Compound InterestCompound interest is the interest that is calculated on the initial principal and also on the accumulated interest of previous periods. It is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest.
In the given question, our data is;
P = 25,000r = 4% = 0.04A = 28,500n = ?x = semi-annually = 2The formula is given as
A = P(1 + r/n)^nx
The given expression is
m(n) = 25000(1 + 0.04/ 2)^2n
m(n) = 28500
28500 = 25000(1 + 0.04 / 2)^2n
Solving for n,
n = 3.3
n ≈ 3
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Match the solution to its expression.
Answer:
1/3 + 1/3 = (1+1)/3 = 2/3
1) 2/3
5/7 - 2/7 = (5-2)/7 = 3/7
2) 3/7
so all you have to do is add or sub the fractions together.
1/3 + 1/3 = 2/3
5/7 - 2/7 = 3/7
for the first box is 2/3
Second box is 3/7
GOODLUCK
Together, Hermione and Luna bought 2016 Chocolate Frogs for Harry. If Hermione paid 98 coins and Luna paid 28 coins, for how many Chocolate Frogs did Hermione pay?
If Hermione paid 98 coins and Luna paid 28 coins, Hermione paid for 672 Chocolate Frogs.
We can start the problem by using algebra. Let x be the number of Chocolate Frogs that Hermione paid for. Then we know that:
x + (2016 - x) = 2016 (the total number of Chocolate Frogs)
Also, we know that the cost of the Chocolate Frogs Hermione paid is 98 coins, and the cost of the Chocolate Frogs Luna paid is 28 coins. Let's assume the cost of each Chocolate Frog is y. Then we can write:
x * y = 98 and (2016 - x) * y = 28
Now we have a system of two equations with two variables (x and y). To find the value of x, we can use any method to solve the system of equations, such as substitution or elimination.
Using substitution, we can solve for y in the second equation and substitute it into the first equation:
(2016 - x) * y = 28
y = 28 / (2016 - x)
x * (28 / (2016 - x)) = 98
x * (28 / (2016 - x)) = 98
x = 98 * (2016 - x) / 28
Solving for x, we get:
x = 2016/3
So Hermione paid for 2016/3 = 672 Chocolate Frogs.
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Answer:
Hermione paid for 1,568 frogs.
Step-by-step explanation:
First, do 98 + 28. That will give you 126. Then do 2,016 / 126. That gives you 16. 16 x 98 = 1568 frogs.
Let's do Luna's to check our work.
28 x 16 = 448 frogs. 448 + 1568 = 2,016. So, Hermione paid for 1,568 frogs.
A pronto lube garage charges £25 to lube any vehicle. Other work adds about €6000 per month to the
revenue. It costs pronto lube £6 in materials to service cars. Monthly operating expenses are €23,500.
2.1). Write an expression for net profit for C cars.
2.2). If the number of cars serviced in a particular month is 3000, find the profit
2.3). If the number of car serviced in a particular month is 900, then the garage got a
profit. True / false.
Therefore , the solution of the given problem of equation comes out to be 1.39500 profit and 2.-400 loss.
What is the equation?A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.
Here,
For C no of cars
=> Profit = total earning in a month - Expense in a month
=> (25-6)C - (23500-6000)
=> P = 19C-17500
If 3000 cars serviced then,
=> Profit = 19(3000)-17500
=> Profit = 39500
If no of cars received in particular month is 900 then profit or loss
=>Profit = 19(900)-17500
=> Profit = -400
That is loss.
Therefore , the solution of the given problem of equation comes out to be 1.39500 profit and 2.-400 loss.
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Do you remember all 4 ways to solve a quadratic equation?
The quadratic formula, using square roots, factoring, and completing the square are the four ways to solve a quadratic problem.
what is quadratic equation ?A quadratic polynomial in a single variable is x ax2+bx+c=0, which is a quadratic equation. a 0. The fact that this polynomial is of second order guarantees that it has at least one solution according to the Fundamental Theorem of Algebra. Solutions could be straightforward or difficult. A quadratic equation is one that has four variables. This suggests that at least one word in it has to be squared. One of the common formulas for solving quadratic equations is "ax2 + bx + c = 0." where the undefined variable "X" is represented by the numerical coefficients or constants a, b, and c.
given
Standard Form: y = a x 2 + b x + c y=ax^2+bx+c y=ax2+bx+c.
Factored Form: y = a ( x − r 1 ) ( x − r 2 ) y=a(x-r_1)(x-r_2) y=a(x−r1)(x−r2)
Vertex Form: y = a ( x − h ) 2 + k y=a(x-h)^2+k y=a(x−h)2+k.
The quadratic formula, using square roots, factoring, and completing the square are the four ways to solve a quadratic problem.
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In a statistics class, a teacher had the students complete an activity in which they grabbed as many bite-sized pretzels as they could with their dominant hand, without crushing them. The teacher then measured their handspan in centimeters. The scatterplot displays the data the teacher collected along with the least-squares regression line. One student with a handspan of 23 cm grabbed 38 pretzels. This point is circled on the graph.
What effect will the circled point have on the y-intercept?
The y-intercept will not change with the addition of this point.
The y-intercept will decrease because the point pulls the least-squares regression line toward it.
The y-intercept will increase because the point pulls the least-squares regression line toward it.
The y-intercept will increase because this point represents an extremely high number of pretzels grabbed with the dominant hand.
answer is B
We can see here that the effect that the circled point will have on the y-intercept is: B. The y-intercept will decrease because the point pulls the least-squares regression line toward it.
What is an intercept?In statistics, an intercept is the value of the dependent variable when the independent variable(s) is equal to zero. It is often represented by the symbol "b" in a linear equation.
For example, a simple linear equation has the form y = mx + b, where "y" is the dependent variable, "x" is the independent variable, "m" is the slope of the line, and "b" is the y-intercept. The y-intercept is the point where the line crosses the y-axis.
We see here that the answer above is the correct answer.
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(i) change 234mm into m
(ii) change 876m^2 into square cm
Answer: (i) 0.234m
(ii) 8760000cm^2
Step-by-step explanation:
234÷1000=0.2234m
876x10^4=8760000cm^
∠A and \angle B∠B are upplementary angle. If \text{m}\angle A=(7x-11)^{\circ}m∠A=(7x−11)
∘
and \text{m}\angle B=(x-25)^{\circ}m∠B=(x−25)
∘
, then find the meaure of \angle B∠B
The measure of ∠B is (x - 25)° = (27 - 25)° = 2°.
What are supplementary angles?
Supplementary angles are two angles that add up to 180 degrees. They are angles that when placed together will form a straight line. They are called "supplementary" because they "supplement" each other to form a straight angle.
When two angles are supplementary, their measures add up to 180 degrees. So, if ∠A and ∠B are supplementary, then:
m∠A + m∠B = 180
Given that m∠A = (7x - 11)° and m∠B = (x - 25)°, we can substitute these values into the equation:
(7x - 11)° + (x - 25)° = 180
Simplifying this equation by combining like terms:
8x - 36 = 180
Adding 36 to both sides:
8x = 216
Dividing both sides by 8:
x = 27
Hence, the measure of ∠B is (x - 25)° = (27 - 25)° = 2°.
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The measure of ∠B is (x - 25)° = (27 - 25)° = 2°.
What are supplementary angles?
Supplementary angles are two angles that add up to 180 degrees. They are angles that when placed together will form a straight line. They are called "supplementary" because they "supplement" each other to form a straight angle.
When two angles are supplementary, their measures add up to 180 degrees. So, if ∠A and ∠B are supplementary, then:
m∠A + m∠B = 180
Given that m∠A = (7x - 11)° and m∠B = (x - 25)°, we can substitute these values into the equation:
(7x - 11)° + (x - 25)° = 180
Simplifying this equation by combining like terms:
8x - 36 = 180
Adding 36 to both sides:
8x = 216
Dividing both sides by 8:
x = 27
Hence, the measure of ∠B is (x - 25)° = (27 - 25)° = 2°.
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Are the following statements true or false? Justify your answers. Complete parts (a) through (c) below. (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) (a) In statistics, results are always reported with 100 % certainty. Choose the correct answer below A. False. In statistics, results are always reported with 100 % certainty only when discrete variables are measured. Results cannot be reported with 100 % certainty when continuous variables are measured. B. True. Statistics is the science of collecting, organizing, summarizing, and analyzing information to draw conclusions or answer questions. Since it is a science, results are always reported with 100 % certainty. C. True. Statistics would not be useful if they were not presented with 100 % certainty . Statistics is a form of mathematics, which means that as long as correct procedures are used, all results must be correct. D. False. In statistics, results are not reported with 100% certainty. Because statistical studies draw on samples, and because there is variation within groups, results cannot be reported with 100 % certainty.
The correct option that tests the given claim on statistics is; D. False. In statistics, results are not reported with 100% certainty. Because statistical studies draw on samples, and because there is variation within groups, results cannot be reported with 100 % certainty.
How to interpret the conclusion of a statistics research?Statistical research is defined as the rigorous development of improved or new statistical methods grounded in probability and statistical theory.
Statistical data analysis is basically a procedure that is used to perform various statistical operations.
Now, from the question, the claim is that In statistics, results are always reported with 100 % certainty.
Now, this claim needs to be examined because there is no perfect human being and as such since statistics is drawn from a lot of samples and groups, there is guaranteed to be some form of variability in responses or results as the case may be.
Therefore, we can say that is option D.
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Is 45/20 equal to 225%
Answer:
Yes, it would be 225%.
Step-by-step explanation:
If 20/20= 100% you can evenly take out 200% because there is 45/20.
That leaves you with the 5/20.
5/20= 25%.
If we add those two percentages 200% + 25%= 225%.
I hope that made sense lol, have a great day!
PLEASE HELP NOW IM BEGGING AND PLEADING PLEASE AND THANK YOU
Linear sequences & graphs 206 - Straight line graphs 1 Quiz 1 2 3 4 5 6 7 8 6 of 8 Use the table to work out the values of a , b , c , and d . x y = 5 − 3 x − 3 a − 2 11 − 1 b 0 5 1 c 2 d a = b = c = d =
The values of a, b, c and d are -5, -1, 3 and 5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is y=2x+1
Substitute (-3, a) in y=2x+1, we get
a=2(-3)+1
a=-6+1
a=-5
Substitute (-1, b) in y=2x+1, we get
b=2(-1)+1
b=-1
Substitute (1, c) in y=2x+1, we get
c=2(1)+1
c=3
Substitute (2, d) in y=2x+1, we get
d=2(2)+1
d=5
Therefore, the values of a, b, c and d are -5, -1, 3 and 5.
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"Your question is incomplete, probably the complete question/missing part is:"
Use the table to work out the values a, b, c and d.
x y=2x+1
-3 a
-2 -3
-1 b
0 1
1 c
2 d
Can anyone help please for e and f
Therefore ,this maxima of the preceding problem is 2 ≥ 0 , which leads to x²+90=> f(x) ≥ 9 , indicating that there is no maxima.
Describe maxima.The maxima & minima of the a function are its maximum and minimum points within or across a given range, and these points are collectively referred to as extrema in mathematical analysis. The highest value of the variable. The maximum amount, level, etc. The variable can only take a maximum of 2. Maximum refers to a peak (plural maxima). The lowest position is referred to as minimal (multiple minimum). Extremum is a phrase for the largest or least of anything (multi-extremum). Peaks (or minima) are used if there are better (or worse) sites available elsewhere but they are not nearby.
Here,
Given :
=> f(x) = x²+9 20
=> x²+9>0 and
=> f(x) 9,
maxima are not possible.
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Which triangles are congruent by ASA?
ABC and TUV
VTU and ABC
VTU and HGF
none of the above
The rectangular floor of a classroom is 24 feet in length and 40 feet in width. A scale drawing of the floor has a length of 6 inches. What is the area, in square inches, of the floor in the scale drawing?
HURRY! :D
The area of the floor in the scale drawing is 60 inches².
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Actual rectangle:
Length = 24 feet
Width = 40 feet
Scale rectangle:
Length = 6 inches
Width = 40/4 = 10 inches
The area of the scaled rectangle.
= Length x Width
= 6 x 10
= 60 inches²
Thus,
The area of the scaled rectangle is 60 inches².
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Refer to the equation a-6 equals b if a equals 45 what is the value of b?
Answer:
Step-by-step explanation: a=4, b=2.
Answer:
b = 39
Step-by-step explanation:
[tex]a-6=b[/tex]
if a = 45:
[tex]45-6=b\\39=b[/tex]
Hope this helps
A class is learning about proportions and ratios, so the teacher decides to use the data about students in the local high school. There are 500-600 students and 29 - 32% of the student body participates in athletics. Which of the following is the most reasonable estimate of the number of students who are considered athletes
Using the provided data, We should consider the mid-value for the number of students and take the average of percentage to find the estimate number, The answer is 168.
What is statistics?Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It is used to make decisions, predictions and gain knowledge from data. It involves using statistical methods to collect, summarize, and draw conclusions from data. It is used in various fields such as business, economics, social science, engineering, and medicine. It helps to make sense of complex data and make informed decisions.
What do you mean by estimate?In statistics, an estimate is a value that is calculated from a sample of data in order to approximate a population parameter. The most common examples of estimates are sample mean, sample proportion, sample standard deviation, and sample variance. These estimates are used to infer information about the population from which the sample was drawn. For example, an estimate of the population mean is calculated by taking the average of a sample of data and using that value to infer the value of the population mean.
mid-value of 500-600 = 550
average % = 30.5%
Athletes number = 30.5% of 550
=168
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When the solution of x2 - 9x - 6 is expressed as 9
vr, what is the value of r?
x= -bb2 - 4ac
2a
06
42.
57
105
The value of r is 105 in this equation.
What is quadratic equation?
it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.
In the quadratic formula, √r =[tex]\sqrt{b^{2}-4ac }[/tex]
Where a = 1, b = -9, and c = -6.
So √r = √(-9)² - 4(1)(-6)
√r = √81 -4(-6)
√r = √81 + 24
√r = √105
Hence, the value of r is 105 in this equation.
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Find the distance between point k and point L
The distance between two points in a plane is the length of the line segment connecting them. The formula d=((x2 - x1)2 + (y2 - y1)2) is frequently used to determine the separation between two points.
What do you call the distance between points?The length of the line segment bridging two locations in a plane is known as the distance between them. d=((x2 - x1)2 + (y2 - y1)2) is a common formula to calculate the distance between two points. This equation can be used to determine the separation between any two locations on an x-y plane or coordinate plane.
The length of the line segment is the distance between two points. Congruent segments are those that share the same length. By using a ruler to draw a line, we may determine how far apart two points are.
x,y = (-8,0) (-8,0)
or
x/y = -8/0
If there was an association between L and K, we would use x,y = 8,0.
Since the query reads "between point K and point L," the x,y relationship becomes "-8,0."
Therefore, the answer is -8,0.
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Mia is taller than Gage. If m represents Mia’s height and g represents Gages hight write an inequity that shows the relationship between their heights. Answer plsssssssss
The inequality that shows the relationship between thier heights is; g < r or r > g
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Now we have the following parameters that can be used in our computation:
Reese is taller than Gage.
Also, we have
Reeses's height = r
Gage's height = g
Since Reese is taller than Gage, then it means that
The value of r is greater than the value of g
So, we have the following inequality expression;
r > g
Also, we have;
g < r
Hence, the inequality is g < r
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ORIGINAL ANSWERS PLEASE
If the line of best fit is y = 1.18x + 5.4, what is the residual value for the coordinate (2, 8)?
0.24
−0.24
0.46
−0.46
The residual value of coordinate is 0.24.
what is residual?A residual is the discrepancy between a data point's actual value and the value predicted by a regression or trend line.
Trend lines provide the approximate shape of the data and display the general shape the data takes. The most precise trend lines are those that best suit the data.
Given equation y = 1.18x + 5.4
and coordinates (2, 8)
y at x = 2
y = 1.18x + 5.4
y = 1.18(2) + 5.4
y = 7.76
residual value = actual y axis value - predicted y axis value
residual value = 8 - 7.76 = 0.24
Hence the residual value is 0.24.
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PLEASE HELP ME ASAP!!!!!!!
In a party, the guest's attendance depends on their vehicle status. If they have four wheelers then the attendance of guests is 2500 and if they have two wheelers then the attendance of guests is 1500. If on the next party, 70% of families will have four wheelers and 30% of families will have two wheelers. What is the expected attendance of guests?
When 70% of families will have four-wheelers and 30% of families will have two-wheelers, the projected guest attendance is 3000+1200 = 4200.
what is percentage ?In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Occasionally, the acronyms "pct.," "pct," and "pc" are also used. But it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it next to it. For instance, you score a 75% if you properly answer 75 out of 100 questions on a test (75/100). Divide the money by the total and multiply the result by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.
given
2500 guests are present when four-wheelers are available.
two wheelers, the number of guests is 1500,
making the total 2500 + 1500 = 4000.
70 percent of families will own four-wheelers, or 3000/4000/100.
30% of families will own two-wheelers, which equals 4000/100 * 30%, or 1200.
When 70% of families will have four-wheelers and 30% of families will have two-wheelers, the projected guest attendance is 3000+1200 = 4200.
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Alice, Bob, Charles and Darwin are sharing an orange. Bob got twice as many slices as Charles,
Charles got 5 times less slices than Darwin, and Darwin got 8 slices more than Charles. Find the
number of slices in the orange given that Alice got only the peel.
(A) 10 (B) 12 (C) 14 (D) 15 (E) 16
Answer:
E
Step-by-step explanation:
Let
A = # of slices Alice got
B = # of slices Bob got
C = # of slices Charles got
D = # of slices Darwin got
First, write equations based on given information:
A = 0
B = 2C
5C = D
D = C + 8
5C = D -> D = 5C
Now that we have two equations for D, we can set them equal to each other:
5C = C + 8
4C = 8
C = 2
Now just plug in the rest:
A = 0
B = 2(2) = 4
C = 2
D = 2 + 8 = 10
Add all solutions together to get (E) 16 slices
PLEASE HELP PIC UPLOAD
If /A and /B are supplementary angles and
m/B = 54, find m/LA.
Therefore , the solution of the given question of triangle comes out to be the only true option is A.
What is Triangle?Triangles, which have three sides and three angles, can be made by joining any three points in a plane. One of the first geometric shapes to be examined was them. They are especially crucial because any polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle.
Triangles, which have three sides and three angles, can be made by joining any three points in a plane. One of the first geometric shapes to be examined was them. They are especially crucial because any polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle.
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