The table contains data on the mileage displayed on a bicycle odometer as it relates to the number of days since the bicycle was purchased. Using the Scatter Plot tool, find the value of the correlation coefficient for this data set.
0.8
1.0
0.3
0.1
Answer:
Hence, the correlation coefficient is:
r=1.0
Step-by-step explanation:
We know that the correlation coefficient ''r'' is calculated by the formula:
[tex]r=\dfrac{\sum{XY}}{\sqrt{\sum{X^2}\sum{Y^2}}}--------------(1)[/tex]
Let x denote the data point (Number of days since purchase)
Let y denote the data point (Mileage Displayed on odometer)
x y X=x-x' Y=y-y' XY X² Y²
15 67 -20 -95 1900 400 9025
25 122 -10 -40 400 100 1600
35 164 0 2 0 0 4
45 210 10 48 480 100 2304
55 247 20 85 1700 400 7225
x' be the mean of the data of the x-values.
[tex]x'=\dfrac{15+25+35+45+55}{5}\\\\\\x'=\dfrac{175}{5}\\\\\\x'=35[/tex]
Also let y' denote the mean of the y-values.
[tex]y'=\dfrac{67+122+164+210+247}{5}\\\\\\y'=\dfrac{810}{5}\\\\\\y'=162[/tex]
Now we have:
∑ XY=4480
∑ X²=1000
∑ Y²=20158
Hence, we put all the values in the formula (1) to obtain:
r=0.997 which is close to 1.0
Also from the scatter plot we could observe that the relationship is linear and also strong positive relationship.
Hence, the correlation coefficient is 1.0
Consider the functions f(x) = x2 − 13 and g(x) = x + 5. What is the value of (f − g)(−4)? ...?
Answer- The Answer is -12
Step-by-step explanation:
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Geometry question help
15 pts will award brainliest if explained
Answer if you understand it only
The cost of a service call to fix a washing machine can be expressed by the linear function y=45x+35 where y represents the total cost and x represents the number of hours it takes to fix the machine. What does the slope represent?
a-the cost for each hour it takes to repair the machine
b=the cost for coming to look at the machine
c-the total cost for fixing the washing machine
d-the amount of time that it takes to arrive at the home to make the repairs
Answer:
The slope represents the cost for each hour it takes to repair the machine.
Step-by-step explanation:
We are given that the cost of a service call to fix a washing machine can be expressed by the linear function
[tex]y=45x+35[/tex]
Where
y=Total cost of a service to fix the machine.
x=Number of hours takes to fix the machine
We have to find that slope in this function what represents.
General equation of line is given by
[tex]y=mx+c[/tex]
Where m=Slope of line
c=y- intercept
Comparing the general equation with the given function
We get m=45,c=35
m=45 represents the cost for each hour it takes to repair the machine because when number of hours multiplied by 45 then we get total cost of x hours.
Hence, the slope represents the cost for each hour it takes to repair the machine.
Latonya bought flowers for her mother. She spent $45. Each tulip was $1 and each rose was $2. She bought 3 more tulips than roses.
Let t be the number of tulips. Which algebraic sentence would help you figure out how many tulips Latonya bought?
A. t + 2(t + 3) = 45
B. t + 2(t – 3) = 45
C. 2t (t + 3) = 45
D. -3t + 2t = 45
If x2 − 8xy + 12y2 = 8 and x − 6y = 3, then x − 2y =
a cheese pizza cost $8.75 each additional cost topping costs $1.25. if you order one pizza and have $12.50. how many toppings can you have on the pizza.
the sum of two numbers is 85. twice one number plus four times the other is 218. find the numbers
"The graph below shows the population of mice in an ecosystem where the mice are not allowed to enter or leave.
Which best describes the population at point A?
A.The death rate is higher than the birthrate.
B.The population is decreasing.
C.The birthrate is higher than the death rate.
D.It has reached carrying capacity"
The point marked A is the point where the birth rate is higher than the death rate.
What is birth rate/ death rate?The term birth rate refers to the rate at which new organims are introduced into the population and the death rate refers to the rate at which individuals exit in the population.
In this case, when we observe the graph, we can see that the point marked A is the point where the birth rate is higher than the death rate.
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Can someone help me...again?
oli has a volume of 9000cm3 and a density of 0.8g/cm3
what is the mass of the oil
for tomoz plz help
Find equation of the axis of symmetry of Y= -3x^2+12x-7
how do i work out sinx+2sinxcosx=0 in radians?
the area of a rectangle is 15x^2y^5. if the length is 5xy^3, what is the width?
The ordered pairs (1, 6), (2, 36), (3, 216), (4, 1296), and (5, 7776) represent a function. What is a rule that represents this function?
Answer:
The rule is [tex]\\ f(x) = 6^{x}[/tex]
Step-by-step explanation:
The resulting values are powers of 6:
[tex]\\ 6^{1} = 1[/tex]
[tex]\\ 6^{2} = 36[/tex]
[tex]\\ 6^{3} = 216[/tex]
[tex]\\ 6^{4} = 1296[/tex]
[tex]\\ 6^{5} = 7776[/tex]
One factor that is not defined in the question is whether the domain (the set of values for which a function is defined [WolframAlpha, 2019]) of the function [tex]\\ f(x) = 6^{x}[/tex] is only for x = {1, 2, 3, 4, 5} or defined for all possible values this function can take, that is, x = (-∞;∞) or all real numbers.
As you can see from the graph attached:
Theoretically, this function could take all values for x = (-∞;∞). If this were the case, the function is a continuous line with resulting values (that is, the range of the function) for f(x)>0 (0;∞). The graph below shows only positive values (x > 0) and values for x ≤ 5.For values x = {1, 2, 3, 4, 5}, the function is discrete (not a continuous line) and only defined for these values. In this case, the function would be represented only by the points in the graph, and the values it could take would be only f(x) = {6, 36, 216, 1296, 7776}, which would represent the range for this function.In the last case, we have to redefine the function as:
[tex]\\ f(x) = 6^{x}[/tex] for [tex] x = \{1, 2, 3, 4, 5\}[/tex].
"If a parallelogram has four right angles, then it is a rectangle." What is the inverse of this conditional statement? A. If a parallelogram has four right angles, then it is a rectangle. B. If a parallelogram does not have four right angles, then it is a rectangle. C. If a parallelogram has four right angles, then it is not a rectangle. D. If a parallelogram does not have four right angles, then it is not a rectangle.
Answer:
If a parallelogram does not have four right angles, then it is not a rectangle.
Step-by-step explanation:
"If a parallelogram has four right angles, then it is a rectangle."
To get the inverse of the conditional statement, we take the negation of both the hypothesis and the conclusion.
So, the inverse of the given statement will be :
If a parallelogram does not have four right angles, then it is not a rectangle.
Translate the phrase into a math expression.
Twenty divided by the sum of 4 and 1.
(1+4) ÷ 20
20 ÷ (1+4)
1 + (4÷20)
(20÷4) + 1
Answer:
[tex]\displaystyle 20 \div (1 + 4)[/tex]
Explanation:
It is EXACTLY how it sounds, and of course, you must include grouping symbols to separate both parts of the expression.
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Any ordered pair that makes all equations in a system of equations true is a(n) ...?
What number represents the same amount as 2 hundreds 14 tens 3 ones
The representation of the given number will be given below such that it sum should be 343.
What is summation?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation.
There might simply be two terms, but there might also be 100,000 or a million. Summations exist with an infinite number of parameters.
The summation is to add or subtract any two or more terms by doing the operation.
The representation of 200, 14, and 3 will be
200 hundred
14 tens
+ 3 ones
--------------------
343
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you are driving at a constant velocity of 100 km per hour. the first landmark you see is your favorite restaurant which happens to be 10 km from your house. which sequence describes the distances you cover at intervals of one hour, starting when you pass the restaurant?
Find the measure of an angle whose measure is 18 degrees less than one-half of the measure of its complement.
If x represents the measure of the angle, then which of the following expressions would equal x?
90 - (0.5x - 18)
0.5(90 - x - 18)
0.5(90 - x) - 18
Answer:
The answer is C, 0.5(90 - x) -18
Step-by-step explanation:
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Answer:
yeet
Step-by-step explanation:
Does this set of ordered pairs represent a function? Why or why not?
{(–2, 2), (–1, 2), (3, –1), (3, 1), (4, 11)}
A. Yes, because there are two x-values that are the same.
B. No, because two of the y-values are the same.
C. Yes, because every x-value corresponds to exactly one y-value.
D. No, because one x-value corresponds to two different y-values.
How do you factorise xy zy?
Which of the following best describe perpendicular lines? A.lines that are not in the same plane B. Lines that meet at a 90* angle C. Lines that meet at a 45' angle D. Lines that are coplanar and do not intersect
A line is said to be perpendicular to another line if the two lines intersect at a right angle. An angle is said to be a right angle if its measure is 90 degrees.
The question is asking us to select the option which best describes a perpendicular lines.Among all the options given option B states :Lines that meet at a 90* angle.
Option B is the right answer.
The perpendicular lines are those lines that meet at a 90* angle. That is option B.
Perpendicular linesPerpendicular lines are those lines that meet at an angle of 90°. To further explain the perpendicular lines, a diagram above is used.
Line AB is perpendicular to XY because AB and XY intersect each other at 90°.
Some of the characteristics of perpendicular lines include:
These lines always intersect at right angles.Adjacent sides of a square and a rectangle are always perpendicular to each otherTherefore, perpendicular lines are those lines that meet at a 90* angle.
Learn more about perpendicular lines here:
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SOLVE. integration of (1-v) /(1+v^2)
Answer:
[tex]tan^-1( v) - \frac{1}{2} ln(1+{v}^2) +c[/tex] is the answer.
Step-by-step explanation:
∫[tex]\frac{1-v}{1+{v}^2} \\\frac{1}{1+{v}^2}- \frac{v}{1+{v}^2}}[/tex]
∫[tex]\frac{dv}{1+{v}^2}[/tex]-∫[tex]\frac{2v}{1+{v}^2}[/tex]dv
[tex]{tan}^{-1} (v)-\frac{1}{2} ln(1+{v}^2) +c[/tex]
tan^4x-sec^4x=1-2 sec^2(x)
verify
Tom gets $12 off a box of chocolates that had an original price of $48. What percentage is the discount ?
what is the solution set of the equation?
8/x+2=(x+4)/(x-6)
a. {-12,4}
b. {12}
c. {4,6}
d. {-4,12}
1. A bag of chips costs $3.79 including tax Mr.Connor wants to purchase chips for his class and has a $15 budget. Write and inequality to solve for the number of bags of chips Mr.Connor can purchase with his budget
A. $15x > $3.79
B.$15x < $3.79
C $3.79 > $15
D. $3.79 < $15
(There is a flat line under all the greater than and less than signs)
2. A cab charges $1.75 for the first mile $0.25 for each additional mile. Write and solve an inequality to determine how many miles eddie can travel if he has $15
A. $1.75 + $0.25x < $15; x < 53 miles
B. $1.75 + $0.25x > $15; x >53 miles
C. $0.25 + $1.75x < $15; x< 8 miles
D.$0.25 + $1.75x > $15; x > 8 miles