The level of measurement of the data collected in this study, which is the number of cousins a person has, is ratio level.
The ratio level of measurement provides the most information about the data, including the ability to rank order the data, determine the equal intervals between values, and identify the true zero point.
In this case, the number of cousins can be ranked (e.g., someone with 5 cousins has more than someone with 2 cousins), there are equal intervals between values (the difference between 2 and 3 cousins is the same as the difference between 6 and 7 cousins), and there is a true zero point (having no cousins).
This distinguishes ratio level data from the other levels of measurement:
1. Nominal level: only classifies data into categories without any order or ranking. In this study, the number of cousins is not simply categorized, but it can be ranked and compared quantitatively.
2. Ordinal level: allows for the ranking of data, but the distances between the data points are not equal or known. In this case, the distances between the number of cousins are equal and can be easily determined.
3. Interval level: has equal intervals between data points and allows for ranking, but lacks a true zero point. In this study, there is a true zero point (having no cousins), so it's not interval level data.
In summary, the level of measurement of the data collected in this study is ratio level because it has a true zero point, equal intervals between values, and allows for ranking.
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help me with this please and thank you
Answer:
4, 1, 2, 3
Step-by-step explanation:
let x = cost of 1 bar
cost of 75 bars = $65
cost of one bar => 75/75 = $65/75
x = $0.87
Answer:
4. c = $0.97 rounded to the nearest hundredth
1. Let c = cost of one bar
[tex]\textsf{2.} \quad 75c=\$65[/tex]
[tex]\textsf{3.} \quad \dfrac{75}{75}c=\dfrac{\$65}{75}[/tex]
Step-by-step explanation:
Step 1
Define the variable:
Let c = cost of one barStep 2
Given that one box of 75 Toblerone chocolate bars costs $65:
[tex]75c=\$65[/tex]Step 3
To find the cost of one Toblerone chocolate bar, divide both sides of the equation by 75:
[tex]\dfrac{75}{75}c=\dfrac{\$65}{75}[/tex]Step 4
Simplify both sides of the equation and round the solution to the nearest hundredth:
c = $0.97 rounded to the nearest hundredthSuppoe you have $5000 to invet, and you want to earn $1000 imple interet in 5 year. What i the lowet interet rate that will allow you to do thi?
Answer:
4%
Step-by-step explanation:
[tex]I=Prt \\ \\ 1000=5000(r)(5) \\ \\ 1000=25000r \\ \\ r=0.04=4\%[/tex]
How do you describe the end behavior of the graph if the degree is odd and the leading coefficient is positive?
The end behavior of a graph with an odd degree and a positive leading coefficient is that the graph will tend to increase infinity as x approaches positive infinity and decrease to negative infinity as x approaches negative infinity.
This end behavior of a graph is due to the fact that when the degree is odd, the leading coefficient acts as a multiplier for the highest degree term, making its contribution to the graph’s y-value the largest and most dominant. For example, if the equation of the graph is y = 4x^3 + x^2 – 7x + 5, then the end behavior of the graph will be increasing to positive infinity as x approaches positive infinity and decreasing to negative infinity as x approaches negative infinity. To calculate this, we can use the equation y = 4x^3. When x = 1000, y = 4,000,000,000. As x increases, y will continue to increase to positive infinity. When x = -1000, y = -4,000,000,000. As x decreases, y will continue to decrease to negative infinity.
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The graph below shows the relationship between the number of hours Elisa works and the total amount of money in her bank account. Which equation can be used to find the amount of money in Elisa’s bank account (y) when she works for (x) hours?
If he works 14 hours then he will earn the amount of $105 which is true and if he works 16 hours then he will earn $120 which is true.
What is the Linear equation?You should be aware that a linear equation is defined as an equation in which the highest power of the variable is one.
The given graph represents Elisa's work and the amount of money he earns at his job.
According to the given graph,
We can see two points are (4, 30) and (8, 60)
The linear equation will be
⇒ y - 30 = (60-30)/(8-4)(x-4)
⇒ y - 30 = (30)/(4)(x-4)
⇒ y - 30 = 7.5(x-4)
⇒ y = 7.5x - 30 + 30
⇒ y = 7.5x
Elisa's work = 14 hours then we verify the response by substituting x = 14 in the above equation,
⇒ y = 7.5(14)
⇒ y = 105
Thus, if he works 14 hours then he will earn $105
Elisa's work = 16 hours then we verify the response by substituting x = 16 in the above equation,
⇒ y = 7.5(16)
⇒ y = 120
Thus, if he works 16 hours then he will earn $120.
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Correct question:
The graph below shows the relationship between the number of hours
Cody works and the amount of money he earns at his job. Which of the
following statements is not true about the relationship?
100
90
80
70
60
MONEY EARNED
50
40
30
20
10
1
2
3
4
5
6
7
8 9 10
HOURS WORKED
How many times would you expect to roll a 5 if you rolled a fair die 300 times? Round your answer, if needed.
A.
0.167
B.
50
C.
17
D.
33
The number of times you would expect to roll a 5 if you rolled a fair die 300 times is B. 50.
We should note that that a fair die has a six sided cube and the number that is on the die faces start from 1 to 6 .
Since each of the die faces consists of a probability of 1/6 now let find the number of times to roll a die.
Expected number of times = 300 × 1/6
Expected number of times = 50
Therefore we can conclude that the expected number of time to rolled the die is B. 50 times.
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Find the smallest positive integer divisible by every positive integer less than or equal to ten.
please could you explain the method to me... i'm pretty confused
Are all lines of longitude measured in degrees north and south of the prime meridian?
No , all lines of longitude are not measured in degrees north and south of the prime meridian
Lines of longitude run north to south and measure places expressed in degrees east or west of the Prime Meridian.The basic work of the longitude lines is to show the distance at which a place lies, east or west of the Prime Meridian.
Longitude is a measurement of location east or west of the prime meridian at Greenwich, London, England, the specially designated imaginary north-south line that passes through both geographic poles and Greenwich. Longitude is measured 180° both east and west of the prime meridian.
Any location's distance from the equator may be determined using its latitude, which is based on its degree. We can locate any point on Earth using longitude and latitude. The GPS or Global Positioning System uses these coordinates.
The grid system that enables us to locate absolute or precise places on the surface of the Earth is made up of latitude and longitude. Latitude and longitude can be used to pinpoint certain locations. Landmark identification also benefits from knowledge of latitude and longitude
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What is double prime called?
Double prime is called by different names as per the topics used in Mathematics :
Inches in length , second order derivative in differentiation, conjugate points, transformed coordinates etc.
As given in the question,
In Mathematics double prime is represented by ". Double prime is used to represent different types of function as per the topic.Double prime is used to represent the second derivative of the given function in differentiation.Double prime is used to represent the measure of length in inches.Double prime is also used to represent the transformed coordinates in the coordinate geometry.Sometimes double prime also represents the conjugate points.It also represents the number of arc seconds in the measure of any angle.Therefore, the double prime is known by many names such as inches in length, second order derivative, conjugate points, transformed coordinates etc.
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please help
Find the value of x.
Round to the nearest tenth.
a 28
b x
22
11
x =?
c
Answer:
69.9° or 110.1°
Step-by-step explanation:
You want to know the angle opposite the side of length 22 in a triangle in which a 28° angle is opposite a side of length 11.
Law of SinesThe law of sines tells you ...
sin(B)/b = sin(A)/a
sin(x)/22 = sin(28°)/11
sin(x) = 22/11 · sin(28°)
x = arcsin(2·sin(28°)) ≈ 69.9° or 110.1°
__
Additional comment
There are generally two solutions to a Law of Sines problem in which the given angle is opposite the shorter of two given sides. The exception is when the triangle is a right triangle.
graph the direct variation y=-=1.5x. using the graph find the value of x when y=-3,4,5 and 6
The graph of function y = -1.5x, for x = -3, 4, 5, and 6 is shown.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
y = -1.5x.
Substitute the value of x = -3, 4, 5, and 6.
x = -3
y = -1.5(-3)
y = 4.5
Similarly,
x = 4 ;y = -6
x = 5 ;y = -7.5
x = 6 ;y = -9
Thus, the graph for the value of has been shown,
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George wants to participate in a triathlon competition where he has to swim, cycle and run some distances. The cycling distance is 4 times the running distance. The swimming distance is 5.5 miles less than the running distance, and is 24 miles less than the cycling distance. Find the total distance of the race.
Answer:total distance is 14
Step-by-step explanation:because 4 x 5.5 miles -14
Y=3/4x+3 I’m so confused on how to graph the and solve it please helpp
In Y=3/4x+3 the Slope is 3/4, the Y-intercept is (0,-3) and the usual form is 3x4y=12. , which does not have a conic section. as opposed to asymptotes.
How to draw a graph ?
Use the slope and y-intercept, or two points, to graph the line. 3 / 4 of a slope; y-intercept: (0,-3) Write in formal language. 3 x-4 y=12 Discover the negative reciprocal of the original line's slope.
[tex]$$m_{\text {perpendicular }}=-\frac{4}{3}$$[/tex]
In order to identify the periods during which the equation is increasing or decreasing, graph it. Continued Growth There are no asymptotes since the equation Y=3/4x+3 is not a reasonable expression. There are no asymptotes. Any conic section's form is not compatible with the equation. Not a Conic Section.This subject can't be explored any further. Please double-check the supplied phrase or select a different subject.
[tex]$$y={3}/{4} x-3$$[/tex][tex]$$y={3}/{4} x+3$$[/tex]
Identify the y-intercept = b , y = mx + b. Plot the y-intercept. The focus will be (0, b). Calculate the slope=m of the equation y = mx + b. Create a single step utilizing the rise and run from the slope. Connect those two places with your line.
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How do you make a table of values for an equation?
Prior to selecting an input value range, create the table. Replace each input value with its equivalent in the supplied equation's left-hand column.
what is function ?Mathematics encompasses the study of numbers, formulas and related structures, shapes and the spaces in which they exist, quantities and their variations, and spaces in which they exist. A function is an association between a set of inputs, each of which has an output. Simply described, a function is a relationship between inputs and outputs, where each input results in a single, distinct output. Each function has a domain and a codomain, often known as a scope. Typically, the letter f is used to denote functions (x). is the input. There are four different categories of functions. based on one-to-one functions, many-to-one functions, on functions, within functions, and one-to-one functions.
given
Prior to selecting an input value range, create the table.
Replace each input value with its equivalent in the supplied equation's left-hand column.
The output value can be found by analyzing the equation in the middle column.
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use pascal’s triangle to expand (3s+2)^5
The pascal’s triangle to expand (3s+2)⁵ is 243s⁵ +810s⁴ + 1080s³ + 720s² + 240s + 32.
What is the expanded form of an expression?
Expanded form, also known as expanded notation, is a method of writing numbers that allows you to see the math value of individual digits. When numbers are separated into individual place values and decimal places, a mathematical expression can be formed.
Most people are introduced to Pascal's triangle via a seemingly arbitrary set of rules. Begin with a 1 on top and 1s running down both sides of a triangle. Each new number is located between and below two other numbers, and its value is the sum of the two numbers above it. The theoretical triangle is infinite and continues indefinitely downward, but only the first six lines are shown in figure 1. More rows of Pascal's triangle are shown in the article's final figure. Another way to look at the triangle is to imagine the first line as an infinite sequence of zeros with the exception of a single 1.Add every adjacent pair of numbers and write the sum between and below them to get successive lines. Pascal's triangle is the non-zero part.
Pascal 's triangle is
1
1,1
1,2,1
1,3,3,1
1,4,6,4,1
1,5,10,10,5,1
The expanded form of (3s+2)⁵ is
= 1×(3s)⁵×2⁰ + 5×(3s)⁴×2¹+ 10×(3s)³×2² +10×(3s)²×2³ + 5×(3s)¹×2⁴+ 1×(3s)⁰×2⁵
=243s⁵ +810s⁴ + 1080s³ + 720s² + 240s + 32
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write 1.1% as a decimal number
Answer:
0.011
Step-by-step explanation:
To convert a percentage into a decimal, simply divide by 100;
Some examples are:
1% = 0.01
5% = 0.05
10% = 0.1
50% = 0.5
N.B. finding a percentage of a number is multiplying by the decimal form, so, e.g. 1.1% of 1000 is:
1000 × 0.011 = 11
Answer:
0.011
Step-by-step explanation:
To convert a percentage to a decimal, you must divide the percentage by the number 100.
Therefore, 1.1% / 100 = 0.011.
(If the question was the other way around and you wanted to turn a decimal into a percentage. All you have to do is the opposite. When you have a decimal multiply it by 100 to get a percentage.)
Hope this helped you!
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
4
Step-by-step explanation:
For this question, the x represent the question mark.
8 + (-4) = x
Since positive plus negative equals negative, we subtract.
8 - 4 = x
x = 4
What is a 2 3 ratio file?
A 2:3 ratio file refers to a digital image file with a width-to-height aspect ratio of 2:3.
This means that for every 2 units of width, the file has 3 units of height. This ratio is commonly used in photography and results in images that are similar in shape to standard prints.
This ratio is commonly used in digital photography, and it is a standard aspect ratio for many camera sensors, which results in a proportion that is similar to standard prints.
This ratio is also used in other fields such as video and graphic design. The 2:3 ratio is a common aspect ratio for digital cameras and is also used for printing photographs in standard sizes, such as 4x6, 5x7, and 8x10 inches. This ratio can also be represented as 1.5:1 in decimal form.
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4 square miles of land is separated into sections that each have an area of 1/2 square mile
The number of sections that each have an area of 1/2 square mile will be 8.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
4 square miles of land are separated into sections that each have an area of 1/2 square mile.
Then the number of the equal section is given as,
⇒ 4 / (1/2)
⇒ 8 section
The number of sections that each have an area of 1/2 square mile will be 8.
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What is the exponential form of 12?
Exponential form of 12 is 2. 2. 3. It is based on the prime factorization of the number.
Exponential form is a mathematical operation written as [tex]a^{n}[/tex] involving the base a and an exponent n. In the case where n is a positive integer, exponentiation corresponds to repeated multiplication of the base, n times.
[tex]a^{n}[/tex] = a × a × a.... n times
In order to write the exponential form we have to write the prime factorization of that number. Prime factorization of the number is that number written as a product of prime numbers or as a product of powers of prime numbers. The exponential form is an easier way of writing repeated multiplication involving base and exponents.
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HELP PLS RIGJT NOW solve systems of linear Equations
Answer: (5, -2)
Step-by-step explanation:
They give you two equations with two variables. You can solve this using elimination or substitution. However, it seems as though the problem wants you to do it through elimination. On the right, you have the equation
6x + 10y = 10
+ -6x - 24y = 18
After add these equations, you get -14y = 28. By dividing both sides by -14, you get y = -2. You can plug y = -2 back into either one of the original equations, and solve for x.
x = 5.
So your answer is (5, -2)
Where is (-4,-2.5) in the easiest way to put it
(-4, -2.5) represents a point on the cartesian coordinate system having -4 units on the x axis and -2.5 units on the y axis
What is cartesian coordinate system?A Cartesian coordinate system in a plane is a system of coordinates that identifies each point uniquely by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length.
The two fixed perpendicular oriented lines are
x axisy axisThey are represented by a pair of numerical coordinates called ordered pair. The ordered pair are arranged such that the x values are first then a comma and the y values.
This is written as (x, y) hence for (-4, -2.5) x = -4 and y = -2.5
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Kyle has a storage box that is 2 ft. long, 3 ft. high, and has a volume of
12
ft.
3
12
ft.
3
. Myla has a storage box that is 4 ft. high, 2 ft. long, and has a volume of
16
ft.
3
16
ft.
3
. What are the widths of Kyle and Myla's boxes? Explain how you know.
The widths of Kyle and Myla's boxes are both 2ft respectively.
How to calculate the width of the storage boxes?For Kyle;
The volume of his storage box = 12ft³
The length of the box = 2ft
The height of the box = 3ft
The width of the box = ?
But volume of a box = length×width×height
12 = 2×3×width
make width the subject of formula;
Width = 12/6 = 2 ft
For Myla;
The volume of his storage box = 16ft³
The length of the box = 2ft
The height of the box = 4ft
The width of the box = ?
But volume of a box = length×width×height
16= 2×4×width
make width the subject of formula;
Width = 16/8 = 2 ft
Therefore, the width of the both boxes are the same in measurement.
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How many solutions does -3=2x²-8x+8 have
The quadratic equation has two solutions, x1 = 3.44 and x2 = 0.56
What are Quadratic equations?Quadratic equations are the ones with degree 2. The standard form of a quadratic equation with variable x is ax2 + bx + c = 0, where a ≠ 0. These equations can be solved by splitting the factorisation, completing the square, or by quadratic formula method.
2x²-8x+8 = -3
2x²-8x+8+3 = 0
2x²-8x+11=0
Using the quadratic formula
x = (- b ± √(b² - 4ac)) / 2a
where a = 2
b = -8
c = 11
x = (-(-8) ± √(11² - 4(2)(11))) / 2(2)
x = (8 ± √(121 - 88)) / 4
x = (8 ± √(33))/4
x 1 = (8 + √(33))/4
x1 = (8 + √(33))/4
x1 = (8 + 5.75)/4
x1 = 13.75 / 4
x1 = 3.44
x2 = (8 - √(33))/4
x2 = (8 - 5.75)/4
x2 = 2.25/4
x2 = 0.56
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How many types of coordinate system are in Revit?
There are three types of coordinate systems in Revit: Project Coordinates, Shared Coordinates, and Site Coordinates.
There are three types of coordinate systems in Revit: Project Coordinates, Shared Coordinates, and Site Coordinates. Project Coordinates are the default coordinates used in Revit and are based on the project origin. This is the origin point of the model and all elements in the project are positioned relative to this point.
Shared Coordinates are used to link multiple projects together. This origin point is determined by a shared coordinate system, which is based on the origin of the shared coordinate system.
Site Coordinates are used to set the project origin in the real-world location of a site. This location is determined by the user and the coordinate values can be set in the Site Location dialog box. All elements in the project are then positioned relative to this real-world site location.
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If the area of an isosceles right triangle is 72, find the length of the hypotenuse.
Answer: The length of a hypotenuse can be found if you use the Pythagorean theorem and by doing that, the length of the square will equal the same squares of the lengths of the other two sides.
Step-by-step explanation: I am so sorry i tried to paraphrase so pls dont be mad at me. ( i am not good at it but atleast i tried, no hate pls)
-♥ Roxy ♥
S = a + b + c
Solve for b.
[tex]s=a+b+c[/tex] solve for b
Flip:
[tex]a+b+c=s[/tex]
Add -a to both sides:
[tex]a+b+c+-a=s+-a[/tex]
[tex]b+c=-a+s[/tex]
Add -c to both sides:
[tex]b+c+-c=-a+s+-c[/tex]
[tex]\fbox{b = -a - c + s}[/tex]
Answer:
S - c - a = b or b = S - c - a ( same answer just written differently)
Step-by-step explanation:
S = a + b + c move the unwanted exponents to the other side
S = a + b + c / - c
S - c = a +b / - a
S - c - a = b
Prove the segments joining the midpoint of consecutive sides of an isosceles trapezoid form a rhombus. Find the slope of ef and gd.
The slope of ef and gd can be found by using the formula: slope = (y2 - y1) / (x2 - x1) where ef = (x1, y1) and gd = (x2, y2) are the coordinates of the points e and g.
Isosceles Trapezoid Form A RhombusA rhombus is a quadrilateral with all sides equal in length. To prove that the segments joining the midpoint of consecutive sides of an isosceles trapezoid form a rhombus, we can use the following properties of an isosceles trapezoid:- The two bases (the parallel sides) are congruent.
- The two legs (the non-parallel sides) are congruent.
- The diagonals of the trapezoid bisect each other.
Using these properties, we can see that:- The midpoints of the legs are congruent, since the legs are congruent.
- The midpoints of the bases are congruent, since the bases are congruent.
- The segments joining the midpoints of the legs and the bases are congruent, since they are both the same distance from the midpoint of the bisected diagonal.
Therefore, the segments joining the midpoints of the sides of an isosceles trapezoid are congruent, and since they are congruent they form a rhombus.The slope of ef and gd can be found by using the formula: slope = (y2 - y1) / (x2 - x1) where ef = (x1, y1) and gd = (x2, y2) are the coordinates of the points e and g.
Since the slope of the line perpendicular to the diagonals of a rhombus is always opposite reciprocal, the slope of ef and gd are opposite reciprocal, which means:the slope of ef = -1/slope of gd.
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What are the rules for substitution?
The rules for substitution are, first simplify the given equation, solve one of the equations for any unknown value, substitute the step 2 solution in another equation, solve the new equation, and finally solve the equation to find the second variable.
The substitution method is the algebraic method to solve different linear equations. In this method, the value of one variable from either of the equation is substituted in the other equation.
The following steps of rules are used to solve an equation by substitution method:
Step 1. Simplify the given equation by removing the parenthesis.
Step 2. Solve one of the equations for any unknown value.
Step 3. Substitute the step 2 solution in the other equation.
Step 4. Now solve the equation which gets from step 3 obtained using elementary arithmetic operations.
Step 4. Finally, solve the final equation for the second variable.
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Right triangle ABC has an area of 16 cm². Segment AB has a length of 8 cm, and segment CA is the hypotenuse. What is the distance between C and A?
Therefore , the solution of the given problem of triangle comes out to be CA = 8.94 cm .
A triangle is what exactly?An triangle is a polygon since it has four or more parts. It is a simple geometric shape. A square having angles A, B, and C is referred to as a triangle ABC. When the sides are not collinear, Euclidean geometry generates a single plane and square. If a triangle has three sides and three corners, it is a polygon. The corners of a triangle are where its three sides meet. The sum of the angles in a triangle is 180 degrees.
Here,
Given : A right triangle ,
Area =16 cm squarea
=> 1/2 * b * h = 16
=> 8*h = 32
= > h =4
=> 8²+ 4²= CA²
=> CA² = 64 + 16
=> CA² = 80
=> CA = √80
=>CA = 8.94 cm
Therefore , the solution of the given problem of triangle comes out to be CA = 8.94 cm .
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Which expression is equivalent to the given expression?
A.
B.
C.
D.
Answer:
I believe the answer is D
Answer:
D. (2x +1)(x -6)
Step-by-step explanation:
You want the expression that is equivalent to 2x² -11x -6.
ChoicesThere are a couple of ways to go at this. One way is to eliminate the answers that make no sense: A and C. We say these are nonsense because they have an overall factor of 2. The coefficient -11 is not a multiple of 2, so there cannot be such a factor.
If you were to examine the remaining choices (after eliminating A and C), you would find the x-term of the product to be ...
B: 2x(-2) +3(x) = -4x +3x = -x
D: 2x(-6) +1x = -12x +x = -11x . . . . . the expression we're looking for
FactorsIf you were to factor this equation, you would look for factors of 2·(-6) = -12 that have a sum of -11. Of course, those are -12 and 1. This means we can rewrite the equation as ...
2x² -11x -6 = 2x² -12x +x -6
= 2x(x -6) +1(x -6) . . . . . . . factor by grouping (pairs of terms)
= (2x +1)(x -6) . . . . . . . . . . matches choice D.
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