The level of measurement for a study that collects data on the number of traffic tickets is ratio. Ratio level of measurement is the highest form of measurement that can be used for statistical analysis. The data collected for this level of measurement have all the properties of the nominal, ordinal, and interval levels of measurement.
In the case of the number of traffic tickets, the data collected for this level of measurement will have a true zero point, which indicates the absence of the entity being measured, that is, zero traffic tickets.
The ratio level of measurement enables the calculation of statistical parameters such as means, variances, and standard deviations.
Additionally, arithmetic operations such as addition, subtraction, multiplication, and division can be performed on the data collected at the ratio level of measurement.
Nominal, ordinal, and interval levels of measurement are lower forms of measurement compared to ratio level of measurement.
Nominal level of measurement involves categorizing objects into groups while ordinal level of measurement has data that can be ranked. Interval level of measurement has data that can be measured on a scale that contains equal units
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Somebody help me plzz
Answer:
60
Step-by-step explanation:
straight line =180
180-120=60
A dining hall had a total of 25 tables - some long rectangular tables and some round ones. Long tables can seat 8 people. Round tables can seat 6 people. on a Busy evening, all 190 seats at the tables are occupied. How many long tables, x, and how many round tables, y, are there?
Answer:
There are 20 long tables and 5 round tables y.
Step-by-step explanation:
Given:
long tables x + round tables y = total of 25 tables
8seats ·x +6seats ·y = 190 seats
Find x and y:
x+y= 25 so x= 25-y
8x+6y = 190, we substitute x for 25-y to find y
8(25-y) +6y = 190, we distribute 8 in parenthesis
200 -8y+6y = 190, combine like terms
200 -2y = 190, subtract 200 from both sides
-2y = 190-200, combine like terms
-2y = -10, divide both sides by -2
y = 5
x+y = 25, substitute y for 5
x+5 = 25, subtract 5 from both sides
x= 20
Conclusion:
There are 20 long tables and 5 round tables y.
Check :
20·8+5·6 = 160+30 = 190 seats
Between which two numbers does √42 lie on a number line?
Answer:
42 lies between 6 and 7
Step-by-step explanation:
We know that √42 will lie between √36 and √49
And √36=6; √49=7
Hence we can be sure that √42 lies between 6 and 7
Please help me with this question.
Answer:
Area = 43.26
Step-by-step explanation:
There is a short way to do this.
Area = 1/2 s*t * Sin(R)
s = 14
t = 7
Area = 1/2 * 14 * 7 * Sin(62)
Area = 7 * 7 * sin(62)
Area = 49 * sin(62)
Area = 43.26
==================
There is another way you could do this.
Use the Cos law to find r
Then use Heron's formula to find the area. Trust me, you don't want to do that.
Doing the way I suggested gives 43.19. The difference is in what I did in the rounding. But I wouldn't want to type all the numbers.
7. The vertices of a triangle are P(-7,-4), Q(-7, -8), and R(3, -3). Name the vertices of the
image reflected across the line y = x.
OP'(4, 7), Q'(8, 7), R'(3,-3)
OP'(4,-7), Q'(8, -7), R'(3, 3)
OP'(-4,-7), Q'(-8, -7), R'(-3, 3)
OP'(-4, 7), Q'(-8, 7), R'(-3,-3)
(1 point)
The vertices of the image reflected across the line y = x are; P'(-4,-7), Q'(-8, -7), R'(-3, 3)
How to carry out reflection transformation?We are given the vertices of the triangle as;
P(-7,-4), Q(-7, -8), and R(3, -3)
Now, in transformations, there are different types such as;
Dilation
Reflection
Rotation
Translation
However, in this case we are dealing with reflection of triangle PQR.
Now, the transformation rule for reflection across the line y = x is;
(x, y) → (y, x)
Thus, applying the reflection transformation rule above to our triangle coordinates gives us;
P(-7,-4) → P'(-4, -7)
Q (-7, -8) → Q'(-8, -7)
R(3, -3) → R'(-3, 3)
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HELP PLZ HURRY!!!!!!!!!!!!
Answer: D
d. because they are not subtracted(C), the two fractions do not add up to 13(B), and the number is not equal to 2(A).
please help me :/....................................
Answer:
k=-4
Step-by-step explanation:
f(x) translates down 4 from g(x)
In Fig. 12.40, AB is a chord of a circle of in
radius 10 cm, M is the mid-point of AB and
NM I AB
A camper ties a rope from a tree to the ground to help build a shelter. The rope is 8 feet long, and it is tied 6 feet up the tree. How far from the tree is the rope anchored to the ground? Use the Pythagorean theorem to find the answer.
The distance from the tree to the rope anchored to the ground is 5.3 ft
Pythagoras theorem:
c² = a² + b²where
c = hypotenuse
a and b are the other legs.
Therefore,
How far the tree is anchored to the ground is the adjacent side of the triangle. Therefore,
b² = 8² - 6²
b² = 64 - 36
b = √28
b = 5.29150262213
b = 5.3 ft
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Someone pls solve this n tell me if it is extraneous or not
The solution of the equation, 3x - 1 / x + 2 = x + 5 / 2x - 1 is not extraneous.
How to solve an equation?Extraneous solution occur because squaring both sides of a square root equation results in 2 solutions (the positive and negative number).
Therefore, let's solve the equation to know if it's extraneous.
Hence,
3x - 1 / x + 2 = x + 5 / 2x - 1
cross multiply
(3x - 1)(2x - 1) = (x + 2)(x + 5)
6x² - 3x -2x + 1 = x² + 5x + 2x + 10
6x² - x² - 5x - 7x + 1 - 10 = 0
5x² - 12x - 9 = 0
Hence,
5x² - 12x - 9 = 0
(x - 3)(x + 3 / 5)
x = 3 or x = -3 / 5
Therefore, the equation is not extraneous
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At the performance of Seussical the Musical at your local high school, there are adult tickets and
student/child tickets. You're trying to remember the cost of each to tell your extended family to come see the
musical. Your friend, her mom, and her little sister paid a total of $23 on opening night, and you know that
another family paid $39 for two adults and three students. If 2 is cost of adult tickets and y is cost of student tickets, the two equations for these situations can be written as:
Answer:
The correct answer is -
x+2y = 23
2x+3y= 39
Step-by-step explanation:
given:
cost of family 1 = 23
number of adults in family one = 1
number of children = 2
cost of family 2 = 39
number of adults in family 1 = 2
number of children = 3
solution:
for the first condition of family one-
In this case, there is only one adult and 2 children and they paid 23 then if the adult cost is x and the children ticket cost is y then
number of adults*x+number of children*y = total cost
1*x + 2*y = 23
x+2y= 23 .......equation 1.
for family two:
In this case, there is two adult and 3 children and they paid 39 then if the adult cost is x and the children ticket cost is y then
number of adults*x+number of children*y = total cost
2*x + 3*y = 39
= 2x+3y = 39....... equation 2
thus, the correct equations are:
x+2y = 23
2x+3y= 39
“Find the length of a side of an equilateral triangle of area 10.2 m^2”
The length of the equilateral triangle = 4.8m
Given that,
The area of the equilateral triangle = 10.2 m²
The formula for the area of an equilateral triangle = \(\sqrt{3} /4 a^{2}\)
Therefore,
\(\sqrt{3} /4 a^{2}\) = 10.2
\(a^{2}\) = 10.2 × \(4/\sqrt{3}\)
\(a^{2}\) = 10.2 × 4/ 1.732
\(a\) = 4.85
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Which of these statements is true for f(x) = 4 • 2x?
Answer:
y intercept is (0,4)
Step-by-step explanation:
Which formula can be used to find the volume of a basketball?
A. V = Bh
B.
C.
D.
Answer:
\( \frac{4}{3} \pi {r}^{3} \)
Step-by-step explanation:
Since,
Basketball is a spherical object.
Hence,
It's volume would be,
\( \frac{4}{3} \pi {r}^{3} \)
Answer ^
Answer:
C) V= 4/3 pie r 3
Step-by-step explanation:
edge 2022
Claire wants to find the mass of her suitcase. Which unit of measure would be best for her to use?
A. Tons
B. Liters
C. Meters
D. Kilograms
Answer: d
Step-by-step explanation:to s is to heavy and the others are for liquid and size
Answer:
D
Step-by-step explanation:
just makes the most sense
Someone help me please! G(-9)=? Check graph
Answer: The answer is one
Step-by-step explanation: The x-coordinate is on one.
How much money did bianca have?
Answer:
The answer is A. Bianca had $8.
Step-by-step explanation:
I really hope this helps.
please answer if u know
Answer:
9 dollars
Step-by-step explanation:
let x be per mile
the equation for solving this would be 0.5x + 3(flat fee)=amount you have to pay
The x is 12 since you have to go 12 miles
0.5(12)+3=amount you have to pay
6+3=amount you have to pay
$9=mount you have to pay
how do i get an A star in MAths
Find the length indicated.
5) Find AB
Please help
Answer:
20
Step-by-step explanation:
If 10-7x2) 10-? for - 15xs1, find lim MX). X-0 X-0 (Type an exact answer, using radicals as needed.)
For the given inequality states that the function \(\(f(x)\)\) is bounded between \(\(\sqrt{10-7x^2}\)\) and \(\(\sqrt{10-x^2}\)\) for \(\(x\)\) in the interval \(\([-1, 1]\)\). The limit of \(\(f(x)\)\) as \(\(x\)\) approaches 0 is \(\(\sqrt{10}\)\).
To find the limit of \(\(f(x)\)\) as \(\(x\)\) approaches 0, we need to determine the behavior of \(\(f(x)\)\) as \(\(x\)\) gets arbitrarily close to 0 within the given inequality.
- The given inequality states that the function \(\(f(x)\)\) is bounded between \(\(\sqrt{10-7x^2}\)\) and \(\(\sqrt{10-x^2}\)\) for \(\(x\)\) in the interval \(\([-1, 1]\)\).
- As \(\(x\)\) approaches 0 within this interval, both \(\(\sqrt{10-7x^2}\)\\ \\\) and \(\(\sqrt{10-x^2}\)\) converge to \(\(\sqrt{10}\)\).
- Since \(\(f(x)\)\) is bounded between these two functions, its behavior is also restricted to \(\(\sqrt{10}\)\) as \(\(x\)\) approaches 0.
- Therefore, the limit of \(\(f(x)\)\) as \(\(x\)\) approaches 0 is\(\(\sqrt{10}\)\).
The complete question must be:
If \(\sqrt{10-7x^2}\le f\left(x\right)\le \sqrt{10-x^2}for\:-1\le x\le 1,\:find\:\lim _{x\to 0}f\left(x\right)\) (Type an exact answer, using radicals as needed.)
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For the next four problems,solve for all of the variables. Show all of your work and explain how you were able to set up your solution.
Hi there!
The answers to your questions are attached in the correct manner.
(Please check)
\(Have \: a \: great \: day! \: :)\)
The sum of four consecutive integers is –18. What is the greatest of these integers?
Answer: -3
Step-by-step explanation:
The Consecutive numbers would be -3, -4, -5, -6. If you add them all up it equals -18. -3 is the greatest of the numbers as it is closest to 0.
Solve for x
x^2-2x-2=0
Evaluate the integral. (Us C for the constant of integration.) ∫e −θ
cos4θdθ
The evaluation of the integral is \(\int\limits {e^-{\theta}\cos(4\theta)} \, d\theta = \frac{e^-\theta(4\sin(4\theta) - \cos(4\theta)}{17|} + c\)
How to evaluate the integralfrom the question, we have the following parameters that can be used in our computation:
\(\int\limits {e^-{\theta}\cos(4\theta)} \, d\theta\)
The above integral can be evaluated using integration by parts
This stated that
∫fg' = fg - ∫f'g
using the above as a guide, we have the following:
\(\int\limits {e^-{\theta}\cos(4\theta)} \, d\theta = \frac{e^-\theta(4\sin(4\theta) - \cos(4\theta)}{17|} + c\)
Note that
c is used as an constant of integration
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Shaking wants to write 2/6 as a decimal. which method could she use divide 6 by 2. divide 2 by 6. multiply 6 by 2. multiply 2 by 6
she should use 2 by 6
Step-by-step explanation:
2 divided by 6 will give 0.3 in 1d.p
NEED ASAP
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 five additional people, and record their arm spans and heights in inches. You may use the sample data provided in the table if you and your partner do not have five people to measure.
Arm Span (inches) Height (inches)
58 60
49 47
51 55
19 25
37 39
44 45
47 49
36 35
41 40
46 50
Share the names and measurements of the people you measured, as well as your own measurements, with your student partner in the class. Together, you and your partner will have 12 sets of data. (You may request a method of getting a partner from your teacher. )
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.
Share and discuss your scatter plot and predicted line of best fit with your partner. If your scatter plots or lines of best fit are different, discuss reasons why they might be different.
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 formula y = mx + b. 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?
67.15 inches and 74.83 inches, respectively, are the heights of individuals with arm lengths of 66 inches and 74 inches.
what is equation ?Its fundamental version is thought to belong to the number's smallest proportional fraction. How else to ascertain the simplest shape. Look for shared parameters in the lowest common and numerator. A partial quantity can be checked to determine if it's a mathematical concept. A remark with two equal edges and an exactly equivalent sign in the midsection is referred to as a linear expression. Every variable's degrees are written in descending sequence in the basic context of any equation. The algorithm for a linear equation is x + b = 0. The usual form of a multiple linear equation is an x + b y + c = 0. (or something similar). Either prospective equations and identities are classifications for equations. An identity stands true for any number of the variables.
given
We have the following computation report from the graphing calculator:
X's total is 486.
Y's total is 506.
Mean X = 44.1818
Typical Y = 46
Square sum (SSX) equals 1225.6364
Total goods (SP) equals 1171.
The line of best fit's expression is thus:
y = 0.96x + 3.79
The y-intercept and slope
An expression for linear regression looks like this:
y = mx + b
where the y-intercept is represented by b, and the slope is represented by m.
Consequently, the y-intercept is 3.79 and the slope is 0.96.
the heights of individuals with 66- and 74-inch arm lengths
This implies:
x = 66 and x = 74
x = 66 results in: y = 0.94 * 66 + 3.79 = 67.15
x = 74 results in: y = 0.94 * 74 + 3.79 = 74.83
Therefore, 67.15 inches and 74.83 inches, respectively, are the heights of individuals with arm lengths of 66 inches and 74 inches.
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A bag contains eleven balls labeled 1 through 11. One ball will be randomly picked. What is the probability of picking a multiple of 3? Write your answer as a fraction in simplest form.
Answer:
3, 6, 9 (the multiples of three within 11)
3 out of 11 numbers are multiples of 3
so you have a 3 out of 11 probability to grab a multiple of three
3/11 is your answer
Step-by-step explanation:
Probability of picking a ball of multiple of 3 is equals to (3/11).
What is probability?
" Probability is a mathematical expression which represents the ratio of number of favourable outcomes to the total number of outcomes."
Formula used
Probability = \(\frac{Number of favourable outcomes}{Total number of outcomes}\)
According to the question,
'B' represents the ball
Possible outcomes = { B₁, B₂, B₃, ...., B₁₀, B₁₁}
favourable outcomes multiple of 3 = { B₃, B₆, B₉}
Total number of outcomes= 11
Number of favourable outcomes = 3
Substitute the value in the formula we get,
Probability of picking ball multiple of 3 = ( 3 / 11)
Hence, probability of picking a ball of multiple of 3 is equals to (3/11).
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Would it be appropriate to display the data with a pie chart?
Yes, because the data are grouped into categories.
Yes, because the data can be represented by a relative frequency compared to the whole.
No, because the data add up to more than 100%.
No, because the data categories are too broad.
Answer: Yes, because the data are grouped into categories.
Step-by-step explanation:
Please help with this geometry question
Answer: x=36 degrees
Step-by-step explanation:
Based on the diagram, we know this:
B=C since their corresponding sides are equal
2x=B because they're corresponding angles.
2x=C since B=C
x+B+C=180
x+2x+2x=180
5x=180
x=36 degrees