Answer:
distributive property
9x+15
Step-by-step explanation:
The distributive property is whenever you have () and distribute until you have zero of these ()
The equivalent expression simply means write this equation differently.
There are many measurements of the human body that are positively correlated. For example, the length of one's forearm (measured from elbow to wrist) is approximately the same length as the foot (measured from heel to toe). They are positively correlated because, as one measurement increases, so does the other measurement.
You will discover through this project whether a human's arm span (measured across the body with the arms extended) is correlated to his height.
You will need to collect data from 11 people, which will give you 12 data points including your own personal data. You will turn in and answer questions regarding only one scatter plot if doing the project alone.
Part One: Measurements
Measure your own height and arm span (from finger-tip to finger-tip) in inches. You will likely need some help from a parent, guardian, or sibling to get accurate measurements. Record your measurements on the "Data Record" document. Use the "Data Record" to help you complete Part Two of this project.
Measure 11 additional people, and record their arm spans and heights in inches.
Part Two: Representation of Data with Plots
Using graphing software of your choice, create a scatter plot of your data. Predict the line of best fit, and sketch it on your graph.
Copy and paste your scatter plot into a word processing document.
Part Three: The Line of Best Fit
Include your scatter plot and the answers to the following questions in your word processing document.
Which variable did you plot on the x-axis, and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.
Write the equation of the line of best fit using the slope-intercept form of the line
Part two
Using graphing software of your choice, create a scatter plot of your data. Predict the line of best fit, and sketch it on your graph.
Copy and paste your scatter plot into a word processing document.
part three
Show all your work, including the points used to determine the slope and how the equation was determined.
What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
Test the residuals of two other points to determine how well the line of best fit models the data.
Use the line of best fit to help you to describe the data correlation.
Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?
According to your line of best fit, what is the arm span of a 74-inch-tall person?
The diagram relating to the scatterplot for the data is attached.
How to explain the scatterplot?I put the height of people on the x-axis because this is what I am trying to correlate the arm span to. I put the arm span on the y-axis because it is dependent on height.
I used point (60,61) and (70,72) to draw the line of best fit and to get the equation. First, to get the slope I would use the slope formula of m = 72-61/70-60 or 11/10 to get a slope of approximately 1.1. Then I used (60,61) to get the rest of the equation by plugging it in: y-61 = 1.1(x -60). This becomes y-61 = 1.1x - 66. Add 61 to both sides and the final equation is y = 1.1x – 5.
The slope represents the rate of change arm span based on height. The y intercept is the arm span.
Using points (66,68) and points (70,72) I plug each into the equation y=1.1x-5 to figure each out based on the difference from the actual points and get .4 for (66,68) and 0 for point (70,72) so I would say, based on .4 and 0 for these two points that this is a good line of best fit.
Based on this data, for every inch in height, the arm span increases by 1.1 inches.
Learn more about scatterplot on:
https://brainly.com/question/6592115
#SPJ1
Determine the type of dilation shown and the scale factor used.
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's solve ~
Ratio of side of bigger rectangle to that to corresponding side of smaller rectangle (as they are similar) is :
[tex]\qquad \sf \dashrightarrow \: \dfrac{20}{8} [/tex]
[tex]\qquad \sf \dashrightarrow \: 2.5[/tex]
So, the bigger rectangle is a scaled up version of the smaller version with a scale factor of 2.5
So, our required answer will be :
Enlargement with scale factor of 2.5A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
A spinner divided into eight equal colored sections, with one orange, two purple, two yellow, and three blue.
Which statement about probability is true?
The probability of landing on orange is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on blue.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.
The probability of landing on yellow is less than the probability of landing on blue
How to determine which statement about probability is true?Probability is the likelihood of a desired event happening.
Since there are one orange, two purple, two yellow, and three blue and the spinner divided into eight equal colored sections.
Thus, we can write the probabilities as follow:
probability of orange = 1/8
probability of purple = 2/8 = 1/4
probability of yellow = 2/8 = 1/4
probability of blue = 3/8
Therefore, the probability of landing on yellow is less than the probability of landing on blue is the true statement
Learn more about probability on:
brainly.com/question/251701
#SPJ1
Kevin conducted a survey of a random sample of registered voters in his town to determine their preferred candidate for mayor in the next election. The results of the survey are shown in the table below.
Survey Results
Candidate Likely Voter Preference
A 240
B 210
C 50
There are 18,000 registered voters in Kevin’s town. Based on the data in the table, what is the best estimate of the number of people who will vote for Candidate A if all the registered voters cast a ballot?
Candidate A is likely to receive 8640 voters if all 18000 voters cast their ballot.
What is probability?Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.
Given here: The survey results from the sample as
A -240
B-210
C-50
The total number of people surveyed is 500
Now as per the given survey results the voters likely to vote for candidate A is P(A)=240/500
=12/25
Similarly, the probability that the voters vote for Candidate A and B are
P(A)=210/500
=21/50
P(B)=1/10
∴ If 18000 voters vote the voters likely to vote for A are
=12/25 ×18000
=8640 voters
Hence, Candidate A is likely to receive 8640 voters if all 18000 voters cast their ballot.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ1
Can someone help me answer this question
Jim has 137 crickets. He sells the crickets in groups of 6. How many groups of 6 crickets can Jim sell? How many crickets will be in the remaining group?
Answer: 132 with a remainder of 5
Step-by-step explanation: 137/6 gives us 22 an multiplying 22x6 gives us 132 leaving us with a remainder of 5.
Answer:
He can sell 22 groups of crickets and have 5 left over
Step-by-step explanation:
House sales at Home Realty increased by 18% this year. Last year Billy sold 50 houses. How many houses were sold this year.
a: 9 houses
b: 59 houses
c: 68 houses
d: 900 houses
Answer:
b: 59 houses
Step-by-step explanation:
50 + 18% of 50 =
= 50 + 0.18 × 50
= 50 + 9
= 59
Answer:
b
Step-by-step explanation:
What is the approximate side length of the square?
3.0 units
3.5 units
4.2 units
4.9 units
The approximate side length of the square is 4.2 units. Hence option B is the correct option.
What is a square?
A square is a regular quadrilateral in Euclidean geometry, which means it has four equal sides and four equal angles. It can alternatively be defined as a rectangle having two neighboring sides of identical length.
Given that the length of half of the diagonal is 3 units.
The diagonals of the square cut each other at a right angle.
The length of OB is 3 units and OC is 3 units.
The △BOC is a right triangle at O.
The hypotenuse of △BOC is BC. The legs of △BOC are OB and OC.
According to the Pythagorean theorem,
OB² + OC² = BC²
3² + 3² = BC²
BC² = 9 + 9
BC² = 18
BC = 3√2
BC ≈ 4.2
The approximate side length of the square is 4.2 units.
To learn more about Pythagorean theorem, click on the below link:
https://brainly.com/question/4888866
#SPJ1
The angle of elevation to a nearby tree from a point on the ground is measured to be 63 degrees. How tall is the tree if the point on the ground is 22 feet from the tree? Round to the nearest foot.
The height of the tree is 43.7 feet
How to calculate the height of the tree?Height deals with the length of the tree vertically.
The given parameters that will help us solve the problem are
The angle of elevation = 63 degrees
The distance from the foot of the tree to the point is 22 feet
Using the trigonometrical ratio
Tan ∅ = Opposite/Adjacent
Tan63 = h/22⁰
Height of the tree = 22*tan63
The height of the tree is equal = 22*1.9626
Height = 43.7 feet
Therefore the tree has a height of 43.7 feet
Learn more about trigonometrical ratios on https://brainly.com/question/25122825
#SPJ1
Which of the following is a trinomial class 8?x+y³a² + b² + c²x² + 2x15z²
The algebraic expression known as a trinomial contains three terms then the trinomials exists a^2 + b^2 + c^2
What is meant by trinomial?
Three non-zero terms make up a trinomial, which is an algebraic expression. The algebraic expression known as a trinomial contains three terms. An mathematical equation called a trinomial has three terms with on-zero coefficients, each separated by a + or - sign. It is a trinomial if three monomials are divided by addition or subtraction.
When a polynomial has three terms, it is referred to as a trinomial. Its general expression is ax² + bx + c, where a and b are coefficients and c is a constant. In order to factor trinomials, you must follow these three easy steps: Calculate the values of b (middle term) and c. (last term).
A. 8x
Not a trinomial because, it contains only one term.
B. 3y +5y² + y
A trinomial because, it contains three terms.
C. 6x²
Not a trinomial because, it contains only one term.
D. + x² +1
A trinomial because, it contains three terms.
learn more about of trinomial here
https://brainly.com/question/29827487
#SPJ4
What is the first common multiple of 4 and 10?
Answer:
20
Step-by-step explanation:
4 ans ten both have 20 in common and it jas ro be the first because the next is like 40
Answer as quickly as you can! I will mark Brainliest:
Lincoln spends $55 of his allowance every month and saves the rest.
This month he decides to spend only $45, increasing his savings by 40%.
What is his monthly allowance?
On solving the provided question we can say that by percentage 40% of savings = 40% of 20 = 40/100 X 20 = $8 140% of savings = 140% of 20 = 140/100 X 20 = $28 his monthly allowance is = $8 + $28 = $36
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
Increase in savings $20
by percentage
40% of savings = 40% of 20 = 40/100 X 20 = $8
140% of savings = 140% of 20 = 140/100 X 20 = $28
his monthly allowance is = $8 + $28 = $36
To know more about percentage visit:
https://brainly.com/question/28269290
#SPJ1
of a mile uses about the same number of calories as running 1 mile.
a. Gilda ran a 26 mile marathon. About how far would her sister have to swim
to use the same number of calories Gilda used during the marathon?
b. Juan swims 5 miles a day. About how many miles would he have to run to
use the same number of calories used during his swim?
If swimming 1/4 of a mile uses about the same number of calories as running 1 mile.
a. The distance her sister have to swim to use the same number of calories Gilda used during the marathon is 6 1/2 mile.
b. The number of miles that he would have to run to use the same number of calories used during his swim is 20 miles.
How to find the number of miles?a. Number of miles:
1/4 swim / 1 run = x swim / 26 run
Cross multiply
= 6 1/2 mile
b. Number of miles:
1/4 swim / 1 run = 5 swim/x
Cross multiply
x = 20 miles
Therefore the number of mile is 6 1/2 miles and 20 miles.
Learn more about number of miles here:https://brainly.com/question/29806974
#SPJ1
The complete question is:
Swimming 1/4 of a mile uses about the same number of calories as running 1 mile.
a. Gilda ran a 26 mile marathon. About how far would her sister have to swim
to use the same number of calories Gilda used during the marathon?
b. Juan swims 5 miles a day. About how many miles would he have to run to
use the same number of calories used during his swim?
There are only blue counters, red counters and green counters in a box.
Can someone please help me with this math problem, ASAP? The problem is in the picture, THANKS!
Answer:
Length = Width = 55
Step-by-step explanation:
Perimeter of rectangle = 2(length + width)
Let x = length; let y = width.
perimeter = 2(x + y)
The perimeter must be 220.
2(x + y) = 220
x + y = 110
y = 110 - x
length = x
width = 110 - x
area = length × width
area = x(110 - x)
area = 110x - x²
A = 110x - x²
Take the first derivative of the area function and set equal to zero. Then solve for x.
A' = 110 - 2x
110 - 2x = 0
2x = 110
x = 55
y = 110 - x = 110 - 55 = 55
Answer: Length = Width = 55
Which of the following is a rational number?
A. 66
B.π
C. 36
D. 40
Answer:
36
Step-by-step explanation:
Find the measure of the missing angles. 34° b . c b = ° c = °
The sum of all the internal angle is [tex]$180^{\circ}$[/tex].
What is Internal angles?The internal angle formed by a closed polygon's sides inside of itself. A shape's interior can contain angles. The closed, side-and-vertex-containing shapes are known as polygons. All of the internal angles of a regular polygon are equal. For instance, the inner angles of a square are all exactly 90 degrees, or the right angle. Triangles always have three inner angles that add up to 180 degrees. Because the other two angles (180°+0°+0°) would not be present, a triangle cannot have an individual angle of 180°.The sum of all the internal angle is [tex]$180^{\circ}$[/tex].
[tex]$$\angle A+\angle B+\angle C=180^{\circ}$$[/tex]
1. 34 and 88
[tex]34+88+\angle C=180 \\[/tex]
[tex]122+\angle C=180 \\[/tex]
[tex]\angle C=180-122 \\[/tex]
[tex]\angle C=58^{\circ}[/tex]
2. 45 and 90
[tex]45+90+\angle C=180 \\[/tex]
[tex]135+\angle C=180 \\[/tex]
[tex]\angle C=180-135 \\[/tex]
[tex]\angle C=45^{\circ}[/tex]
3. 10 and 102
[tex]10+102+\angle C=180 \\[/tex]
[tex]112+\angle C=180[/tex]
[tex]\angle C=180-112 \\[/tex]
[tex]\angle C=68^{\circ}[/tex]
4. [tex]$\boldsymbol{x}$[/tex]and 50
[tex]x+50+\angle C=180 \\[/tex]
[tex]\angle C=180-50-x \\[/tex]
[tex]\angle C=(130-x)^{\circ}[/tex]
The complete question is,
Find the measure of the third angle of a triangle given the measures of two angles.
1. 34 and 88
2. 45 and 90
3. 10 and 102
4. x and 50
To learn more about Internal angles refer to:
https://brainly.com/question/24966296
#SPJ1
is it easier to describe the solution of a system of linear inequalities in words or to show it using a graph?
It depends on the context and the audience. Both describing the solution of a system of linear inequalities in words and showing it using a graph have their own advantages.
An explanation graph is what?
A graph is a representation of the relationship between two variables that are normally measured along one of a pair of axes at right angles.
Describing the solution of a system of linear inequalities in words is often useful when the system is simple and the inequalities are easy to understand. It can be a more straightforward way to explain the solution, especially when the audience is not familiar with reading graphs.
On the other hand, using a graph to show the solution of a system of linear inequalities can be more efficient and effective when the system is more complex and the inequalities are harder to understand. Graphs can provide a visual representation of the solution, which can make it easier for the audience to understand the solution and see how it relates to the original problem. Additionally, it can be easier to find the exact point of intersection between the inequalities by looking at the graph.
Both methods can be useful depending on the situation, so it's best to consider your audience, the complexity of the system, and the goal of your explanation when deciding which method to use.
Learn more about graph
brainly.com/question/19040584
#SPJ1
Please helpp
The choices are
A. 10
B. 12
C. 14
D. 16
On solving the provided question, we can say that in the triangle If AL = 2, LS = 6,LM = 4, and ST=x+ 2, as its given, M is the mid point and LM || ST , ST = 4
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.]
in the triangle
If AL = 2, LS = 6,LM = 4, and ST=x+ 2,
as its given, M is the mid point and LM || ST
so LM = ST
4 = (x + 2)
2 = x
ST = 4
To know more about triangle visit:
https://brainly.com/question/2773823
#SPJ1
Question 16
The production method that breaks a complex job into a series of smaller tasks is called...
(Standard 8.4.9.C.)
O assembly line
Oputting-out industry
O means of production
Ocottage industry
Question 17
The production method that breaks a complex job into a series of smaller tasks is called option 1: assembly line.
What is assembly line?
A production method known as an assembly line divides the creation of a good into steps that are finished in a predetermined order.
The most often utilised technique in the mass manufacture of goods is assembly lines. Because they train unskilled workers to complete particular activities, they lower labour costs.
So, in assembly line a large complex job is first divided into small jobs.
Then the trained workers do the smaller jobs and in a fixed order.
Therefore, this process is known as assembly line.
To learn more about assembly line from the given link
https://brainly.com/question/1845393
#SPJ1
What is the coefficient of x² in 5x²y?
5y is the coefficient of x² in the given polynomial 5x²y.
What is coefficient of polynomial?Polynomial coefficients are the integers preceding a word. Terms are often composed of a number and a variable (for example, 2 x 2 2x2 2x2, where 2 is the number and x is the variable). The coefficient is represented by the number portion. Simply put, it is the leading term's coefficient. The polynomial degree is the largest power of the variable that occurs in the polynomial. The leading phrase is the one with the greatest power of the variable: the term with the greatest degree. The leading coefficient is the leading term's coefficient.
Here,
The coefficient of x^2 in the above polynomial 5x^2y is 5y.
To know more about coefficient of polynomial,
https://brainly.com/question/20630027
#SPJ4
Answer for points + 5 star + thank + brainliest (Screenshot included)
Stella bought 6 packages of balloons. Each package has 15 balloons in it.
Which TWO number sentences could be used to find the total number of balloons Stella bought?
Answers:
(6×10)+(6×5)
6×10+56
(3×10)+(6×5)
(15×3)+(15×3)
6+15
Answer:
"Choices A & D": (6 x 10) + (6 x 5). & (15 x 3) + (15 x 3) are the correct number sentences.
Step-by-step explanation:
1. How many balloons are there in total?The total amount of balloons can be found via cross-multiplication. To cross-multiply fractions, we multiply the numerator of the first fraction with the denominator of the second fraction and the numerator of the second fraction with the denominator of the first fraction.If one package has 15 balloons, how many balloons do 6 packages have?:[tex]\frac{1 package}{6 packages} = \frac{15 balloons}{X balloons}[/tex][tex]\frac{1 package xX balloons}{1 package} = \frac{6 packages x 15 balloons}{1 package}[/tex][tex]6 x 15 balloons = 90 balloons.[/tex]So now we know there are 90 balloons in 6 packages. 2. PEMDASPEMDAS states to complete the operations on numbers in the order that the letters appear.1. Parentheses, ie. (6 + 10) - (11 x 5).
2. Exponents, ie. [tex]a^{c}[/tex].
3. Division, ie. 11÷5.
4. Addition, ie. 12+1.
5. Subtraction, ie. 10-5.
3. Find the TWO NUMBER SENTENCES that can be evaluated to 90.Number Sentences:
a. (6 x 10) + (6 x 5).
According to PEMDAS. We multiply the numbers inside the parentheses first.ii. 6 x 10 = 60.
iii. 6 x 5 = 30.
iv. Then we add the products.
v. 60 + 30 = 90.
vi. So this choice IS CORRECT.
b. 6 x 10 + 5.
According to PEMDAS. We multiply first.ii. 6 x 10 = 60.
iii. Then we add the product to 5.
iv. 60 + 5 = 65.
v. 65 DOES NOT equal 90 so this is one of the incorrect number sentences.
c. (3 x 10) + (6 x 5).
According to PEMDAS. We multiply the numbers inside the parentheses first.ii. 3 x 10 = 30.
iii. 6 x 5 = 30.
iv. Then we add the products.
v. 30 + 30 = 60.
vi. 60 DOES NOT equal 90 so this is one of the incorrect number sentences.
d. (15 x 3) + (15 x 3).
According to PEMDAS. We multiply the numbers inside the parentheses first.ii. 15 x 3 = 45.
iii. 15 x 3 = 45.
iv. Then we add the products.
v. 45 + 45 = 90.
vi. So this choice IS CORRECT.
e. 6 + 15.
i. 6 + 15 = 21.
ii.21 DOES NOT equal 90 so this is one of the incorrect number sentences.
4. (6 x 10) + (6 x 5). & (15 x 3) + (15 x 3). These are the correct number sentences.Please let me know if this helped (photo also attached)!!!
10 POINTS FOR ANY ONE HOW CAN ANSWER THIS
:)
Answer: A=16 B=14 C=34
Step-by-step explanation:
based on the data which group of students should be encouraged to read more. explain your reasoining
Answer: 8th graders should be encouraged to read more. This is because they have the least read pages on average. If you calculate the average number of pages read, the 6th-grade students have a total of 25 pages, the 7th-grade students have a total of 34 and the 8th-grade students have a total of 23. It is because of their lowest total number of pages read that the 8th graders would have the most and should be encouraged to read more.
Sam and harry are family. Sam is currently five times harry's age. Sam's age is also 10 more than three times harry's age. The following system of equations models this scenario: x = 5y x = 10 + 3y what are their current ages? sam is 25 years old, and harry is 5 years old. Sam is 30 years old, and harry is 6 years old. Sam is 35 years old, and harry is 7 years old. Sam is 40 years old, and harry is 8 years old.
Sam is 25 years old, and Harry is 5 years old.
If we multiply the age of Harry (5) five times, it will give us 25:
5×5= 25
and if we multiply Harry's age three times and then add up ten, it will give us 25:
(5×3) +10 = 25
15 + 10 = 25
25 = 25
please solve this
it would mean so much to me please
Tasha earned $7.55 per hour and an additional $100 in tips waiting tables on Saturday night. Altogether she earned $160.40. Write an equation for this situation. Use h to represent the number of hours.
The equation that represents the situation is $160.40 = $100 + $7.55h.
What is the equation ?An equation is a statement that consists of numbers or letters and an equal to sign. The amount earned is a function of the tip, hours worked and the pay per hour.
The form of the equation is:
Total amount earned =tip + (amount earned peer hour)
$160.40 = $100 + ($7.55 x h)
$160.40 = $100 + $7.55h
To learn more about mathematical equations, please check: https://brainly.com/question/26427570
#SPJ1
wanda wants to buy a pair of shoes that cost $48 If sales tax costs 8.25% what will be the total cost
Answer:51.96 dollars total
Step-by-step explanation:
go to a smart cauculator and add 8.25% to 48
Find the nonzero value() of k that will caue the equation to have the given number and type of olution. Kx2−2x4=0, 2 real olution
The polynomial equation kx^2 - 2x^4 = 0 has no real solutions, for any non-zero value of k.
The equation kx^2 - 2x^4 = 0 has the form of a polynomial equation, where k and x are variables. To find the nonzero value of k that will cause the equation to have 2 real solutions, we need to analyze the roots of the equation.
The roots of the equation are the values of x that make the equation equal to zero. To find the roots, we can set each factor of the polynomial equal to zero and solve for x:
kx^2 = 0 and 2x^4 = 0
The first equation gives us x = 0, which is not a valid solution, because it is not a real number.
The second equation gives us x^4 = 0, then x = 0. But x = 0 is not a valid solution for this equation, as it is not a real number.
Therefore, the polynomial equation kx^2 - 2x^4 = 0 has no real solutions, for any non-zero value of k.
To learn more about polynomials and its roots visit: brainly.com/question/2557258
#SPJ4
Are the sides 6 cm 4.5 cm 7.5 cm form a right angled triangle?
Answer: No they cannot
Step-by-step explanation:
6+4.5 = 10.5 which is greater than 7.5 meaning it cannot create a right angled triangle