Answer:
The total would be 36,600.
Step-by-step explanation:
First you will convert 33 months into years which is 2 years and 10 months.
You will then add the 2 years and the 11 years together which gets you 13 so now you have a total of 13 years and 10 months. (this information will be used later)
Now we will start by multiplying the 20000 by 16% and we should get a total of 1200. That means the interest is 1200 per year so lets first take our 13 years and multiply it by the 1200 (13x1200). You should have 15600 as an answer (save this number for later) since we have 10 months were going to take that 1200 and divide it into 12 month meaning the monthly interest should be 100 per month since we have 10 months we will multiply 100 by 10 and get 1000. Now lets bring back that 15600 and add the additional 1000 to it, our answer should be 16,600, and then we add the original 20000 to the 16600 and your final answer should be 36600.
The balanced scale represents the equation: 3x + 1 = x + 3
If one x block is subtracted from the right side and three numbered blocks are subtracted from the left side. What process will
balance the scale?
subtract one x block from the left side and subtract three numbered blocks
from the left side
subtract one x block from the left side and subtract three numbered blocks
from the right side
subtract one x block from the right side and subtract'three numbered
blocks from the left side
subtract one x block from the right side and subtract three numbered
blocks from the right side
Answer:
1 block is required in the process to balance the scale
Step-by-step explanation:
In order to get the process that will balance the scale, we need to solve the given expression for x as shown;
3x + 1 = x+ 3
Subtract x from both sides
3x+1-x = x+3 - x
3x - x + 1 = 3
2x + 1 = 3
Subtract 1 from both sides
2x + 1 - 1 = 3 -1
2x = 2
Divide both sides by 2
2x/2 = 2/2
x = 1
Hence 1 block is required in the process to balance the scale
Choose ALL the lines PARALLEL to the following line: y = 2/9x - 7
y = 9/2x-12
y = 2/9x + 8
-2y = 9x + 8
9y = 2x -18
Answer: y = 2/9x + 8 and -2y = 9x + 8
Step-by-step explanation: Hope this help :D
Parallel lines have the same slope so y = 2/9x + 8 and 9y = 2x -18 will be parallel to the line y = 2/9x - 7 so option (B) and (D) will be correct.
What are parallel lines?Two lines in the same plane that are equally spaced apart and never cross each other are said two lines in the same plane that are equally spaced apart and never cross each other to be parallel lines.
Parallel lines are those lines in which slopes are the same and the distance between them remains constant.
The equation of a linear line is given by
y = mx + x where m is slope
So,
y = 2/9x - 7 have slope as 2/9
Now since parallel lines have the slope same so all lines whose slope matches with 2/9 will be parallel to this.
So,
y = 2/9x + 8 has slope of 2/9
9y = 2x -18 ⇒ y = 2/9 x - 2 has slope of 2/9
Hence "y = 2/9x + 8 and 9y = 2x -18 will be parallel to the line y = 2/9x - 7"
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Plz help with these.
Answer:
5. [tex]a ( x + y^{2} + z )[/tex]
6. [tex]2a ( x + y + z)[/tex]
7. [tex]4 ( x +4y)[/tex]
8. [tex]-5 ( x + y )[/tex]
9. [tex]7a ( a + b)[/tex]
10. [tex]-2 ( x + 2y + 3z)[/tex]
11. [tex]bx ( a + y)[/tex]
12. [tex]-x (x^{2} + x + 1)[/tex]
this took long but i hope the answers are correct :)
4 of 21 (4 complete)
HW Score: 16%, 4 of 25
X 11.2.33 Assigned Media
Question Help
*
The results of a medical test show that of 39 people selected at random who were given the test, 36 tested negative and 3 tested positive. Determine the odds against
a person selected at random from these 39 people testing negative on the test.
Answer:
The odds against a person selected at random from these 39 people testing negative on the test is 92.31%.
Step-by-step explanation:
In the group of 39 randomly selected people:
# of people tested negative: 36
36 / 39 = 92.31%
i need help with this questionn
Kendra Buys three bracelets for $48 which table shows the correct amount she would need to pay to buy nine or 13 bracelets at the same price per bracelet
Answer:
The answer is B
Step-by-step explanation:
Divide 48 by 3 which gives you the total amount for one bracelet then you have to multiply the amount by 9 and 13 and then find your answer in the letters.
The proportion relationship is as follows;
number of bracelet total cost($)
3 48
9 144
13 208
Proportional relationshipProportional relationship is one in which two quantities vary directly with each other.
Therefore, we can establish a proportional relationship between the number of bracelets and it cost.
Hence,
let
x = number of bracelet
y = cost of the bracelets
Therefore,
y = kx
where
k = constant of proportionality
48 = 3k
k = 48 / 3
k = 16
Let's find the cost for 9 or 13 bracelet
y = 12x
y = 16(9) = 144
y = 16(13) = 208
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Help please full answer!!
The temperature change in a chemistry experiment was –2 C every 30 min. The initial temperature was 6 C. What was the temperature after 4 h?
Answer:
4 hours/30 min=12
-2*12=-24
6-24=-18
-18°C
Step-by-step explanation:
Good morning guys, I need help with a math problem ..8x+3y-2x-4y-6x
Answer:
8x+3y-2x-4y-6x = -y
Step-by-step explanation:
8x+3y-2x-4y-6x = ?
combine like terms:
(8x - 2x - 6x) + (3y - 4y) = ?
The x total is 0 and the y total is -1y
Answer:
-1y
Step-by-step explanation:
8x-2x-6x=0
3y-4y=-1y
That means the solution I think is -1y.
I say this because the X gets completely cancelled, and then the only thing left is -1y. If the X still had a number in front of it, it would then be like (This Is An Example: 2x = -1y) That's what it would look like if the X wasn't completely cancelled out. Have a good day. And if you see any fault in my answer please let me know so I can get better with problems like these. Thanks.
Furaha pushes his rectangle next to Rahma's rectangle to form a new, longer rectangle. Draw an area model to show the new rectangle. Label the side lengths.
Answer:
See attachment
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine the new model
From the question;
Furaha's model is: 6 by 4
Rahma's model is: 7 by 4
When Furaha's rectangle is pushed next to Rahma's, the new model becomes: (6 + 7) by 4
i.e. 13 by 4
See attachment 2
Explain Cantor's Theorem, that is, the fact that A and P(A) have different sizes, for every given set A. Summarize the proof of this result, pointing out the main ideas. What consequence
Cantor's Theorem states that the cardinality of a set A is strictly less than the cardinality of its power set P(A), for every set A. In other words, there is no bijection between A and P(A).
The proof of Cantor's Theorem relies on a diagonalization argument. Suppose there is a bijection f between A and P(A). We can use f to construct a subset B of A that is not in the image of f.
To do this, we define B as follows: for each element x in A, if x is not in the set f(x), then we add x to B. In other words, B contains all elements of A that are not in their corresponding set in P(A) under f.
Now, we show that B is not in the image of f. Suppose that there exists some element y in A such that f(y) = B. Then, we have two cases: either y is in B or y is not in B.
If y is in B, then y is not in f(y), since y was added to B precisely because it is not in its corresponding set in P(A) under f. But this contradicts the assumption that f(y) = B.
If y is not in B, then y is in f(y), since y is not in B precisely because it is in its corresponding set in P(A) under f. But this also contradicts the assumption that f(y) = B.
Therefore, we have shown that B is not in the image of f, which contradicts the assumption that f is a bijection between A and P(A). Thus, there can be no such bijection, and Cantor's Theorem follows.
The consequence of Cantor's Theorem is that there are different sizes of infinity, which has profound implications for mathematics and philosophy. It shows that there are sets that are "larger" than others, and that there is no "largest" infinity. This has led to the development of set theory as a foundational branch of mathematics, and has influenced debates about the nature of infinity in philosophy.
Aidan bought a pizza cut into 5 slices. If he ate one slice for lunch, what percentage of the pizza remained uneaten?
Answer:
80%
Step-by-step explanation:
You started of with 5/5 once one slice was eat it became 4/5
you must then convert 4/5 into a percent
To convert a fraction to a percent, divide the numerator by the denominator. Then multiply the decimal by 100.
so 4 divided by 5 =0.8
0.8 x 100= 80
80%
Which of the following statements about the polynomial function F(x)=x^3+2x^2-1 is true
The true statement about the polynomial function is (d) 0 relative minimum
How to determine the true statement about the polynomial functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = x³ + 2x² - 1
Differentiate and set the function o 0
So, we have
3x² + 4x = 0
Factor the expression
So, we have
x(3x + 4) = 0
Next, we have
x = 0 or x = -4/3
So, we have
f(0) = (0)³ + 2(0)² - 1 = -1
f(-4/3) = (-4/3)³ + 2(-4/3)² - 1 = 0.2
This means that it has a relative minimum at x = 0
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Let A = {z, b, c, d, e) and Ri = {(z, z), (b, b), (z, b), (b, z), (z, c), (d, d), (e, e)} a ,(c relation on A. a) Find a symmetric relation R2 on A which contains all pairs of R, and such that R2 # AXA b) Find an equivalence relation R3 on A which contains all pairs of R,
a) For this question, we can identify all the symmetric relations from the pairs of R by adding in the pairs that would make the relation symmetric. These pairs are of the form (y, x) where (x, y) is already in the relation. Thus, a symmetric relation R2 on A that contains all pairs of R, and such that R2 ≠ A×A is {(z, b), (b, z), (z, c), (c, z), (d, d), (e, e)}. b) In order to find an equivalence relation R3 on A which contains all pairs of R, we have to do the following: Check for all pairs in R whether they have the property that xRy and yRx.
If a pair (x, y) is in R and (y, x) is also in R, then we include the pair (x, y) in our equivalence relation. We do this until we have found all pairs that satisfy this condition. Thus, an equivalence relation R3 on A which contains all pairs of R is {(z, z), (b, b), (z, b), (b, z), (d, d), (e, e)}.
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implement an iterator class called scaleiterator that scales elements in an iterable iterable by a number scale.
The ScaleIterator class iterates over an iterable, scaling its elements by a given scale factor.
To implement the ScaleIterator class, we can define a custom iterator that takes an iterable and a scale factor as input. The iterator will then iterate over the elements of the iterable and scale each element by multiplying it with the scale factor.
Here's an example implementation in Python:
class ScaleIterator:
def __init__(self, iterable, scale):
self.iterable = iterable
self.scale = scale
def __iter__(self):
return self
def __next__(self):
element = next(self.iterable)
scaled_element = element * self.scale
return scaled_element
The ScaleIterator class has an __init__ method that initializes the iterator with the given iterable and scale factor. It also implements the __iter__ and __next__ methods to make the class iterable. Each time __next__ is called, it retrieves the next element from the underlying iterable, scales it by multiplying with the scale factor, and returns the scaled element.
Using this ScaleIterator, you can iterate over any iterable and obtain scaled elements by specifying the desired scale factor.
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( 74 GUIDED Name:
PRACTICE Using Dot Plots to Make Inferences
1.
Joseph asks 10 of his friends how many baseball trading cards each friend has.
The data is shown in the dot plot. How many friends have more than five cards?
1
2
3
8
9
10
4 5 6 7
baseball trading cards
11
A. 3
C. 10
B. 5
Answer:
2 friends have more than 5 cards
Step-by-step explanation:
Incomplete question;
I will answer this question with the attached dot plot
The horizontal axis represents the friends, the vertical represents the number of baseball trading cards and the dots represent the frequency
So, we have:
[tex]Friend\ 1 = 2[/tex]
[tex]Friend\ 2 = 3[/tex]
[tex]Friend\ 3 = 7[/tex]
[tex]Friend\ 4 = 4[/tex]
[tex]Friend\ 5 = 2[/tex]
[tex]Friend\ 6 = 6[/tex]
[tex]Friend\ 7 = 2[/tex]
[tex]Friend\ 8 = 5[/tex]
[tex]Friend\ 9 = 1[/tex]
[tex]Friend\ 0 = 0[/tex]
The friends that has more than 5 are:
[tex]Friend\ 3 = 7[/tex]
[tex]Friend\ 6 = 6[/tex]
Hence, 2 friends have more than 5 cards
the decimal $0.76$ is equal to the fraction $\frac{4b 19}{6b 11}$, where $b$ is a positive integer. what is the value of $b$?
The value of b is 3. By equating the decimal and the fraction, we solve for b and find that b = 3.
To find the value of b, we equate the decimal 0.76 to the fraction $\frac{4b + 19}{6b + 11}$. We can set up the equation:
0.76 = $\frac{4b + 19}{6b + 11}$
To eliminate the fraction, we cross-multiply:
0.76(6b + 11) = 4b + 19
Expanding and simplifying the left side of the equation:
4.56b + 8.36 = 4b + 19
Next, we isolate the variable b by moving all terms involving b to one side:
4.56b - 4b = 19 - 8.36
0.56b = 10.64
Finally, we divide both sides by 0.56 to solve for b:
b = $\frac{10.64}{0.56}$ ≈ 19
Since b is a positive integer, the closest value is b = 3.
Therefore, the value of b is 3.
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Which One Doesn't Belong?
Answer:
I THINK C I’m not totally sure because it has an end point visible
Step-by-step explanation:
2. If m arc VW - 62" and marc YZ -25°, then what is the
measure of
At a coffee shop, the first 100 customers'
orders were as follows.
Small
Hot
Cold
5
8
Medium
48
12
Large
22
сл
5
If we choose a customer at random, what
is the probability that his or her drink will
be cold?
[? ]%
Enter
The probability that a randomly chosen customer's drink will be cold is 0.08 or 8%.
To calculate the probability that a randomly chosen customer's drink will be cold, we need to determine the number of customers who ordered a cold drink and divide it by the total number of customers.
From the given data, we can see that there were 8 customers who ordered a cold drink. The total number of customers is 100.
Therefore, the probability that a randomly chosen customer's drink will be cold is:
P(cold) = Number of customers who ordered a cold drink / Total number of customers
P(cold) = 8 / 100
Simplifying the fraction:
P(cold) = 0.08
So, the probability that a randomly chosen customer's drink will be cold is 0.08 or 8%.
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The probability that a randomly chosen customer's drink will be cold is 25/100.
To calculate the probability that a randomly chosen customer's drink will be cold, we need to determine the number of cold drinks out of the total number of customers.
From the given data, we see that there were 25 cold drinks out of 100 total customers.
Therefore, the probability is calculated as the number of cold drinks (8) divided by the total number of customers (100), which results in a probability of 25/100.
Hence, the probability that a randomly chosen customer's drink will be cold is 25/100.
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Welp what is 103883+293883=? please helppp mah mum in city :')
[tex]\huge{\mathbb{\tt { PROBLEM:}}}[/tex]
Help What is 103883+293883=?
[tex]\huge{\mathbb{\tt { ANSWER:}}}[/tex]
397766[tex]{\boxed{\boxed{\tt { SOLUTION:}}}}[/tex]
[tex] \: \: \: 103883 \\ \frac{+293883}{ \: \: \: \: 397766} [/tex]
----------------------------------------------------------------------------------------------------[tex]\huge{\mathbb{\tt { WHAT \: IS \: ADDITION \: ?}}}[/tex]
Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined#CarryOnLearning
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XxKim02xXWrite the sentence as an equation
the product of 48 and g, reduced by 26 is equal to 345 subtracted from the quantity g times 150
36. Given x is the score in the distribution. The interval of scores containing within one standard deviation from the mean is a < x < b. solve for a.
37. Given x is the score in the distribution. The interval of scores containing within one standard deviation from the mean is a < x < b. solve for b.
Given x is the score in the distribution. The interval of scores containing within one standard deviation from the mean is a < x < b. The solution for a and b are; a = x - SD and b = x + SD.
Let's see how we can solve these problems using the standard deviation and distribution.
36. To solve for a:
One standard deviation from the mean in a normal distribution includes about 68 percent of the scores.
Therefore, we know that:
P(mean - SD < x < mean + SD) = 68%. Where, SD = standard deviation of the distribution.
Therefore, to find a, we need to subtract SD from the mean.
So, a = mean - SD.
Distribution:
a < x < b
P(mean - SD < x < mean + SD) = 68%
Mean is x in this case; so:
P(x - SD < x < x + SD) = 68%
Now, solve for a by subtracting SD from x:
x - SD = a = x - SD
37). To solve for b.
From the previous problem,
we have: P(x - SD < x < x + SD) = 68%
To find b, we need to add SD to x
So, b = x + SD
Substitute the values of SD and x to get the value of b.
Distribution: a < x < b
P(mean - SD < x < mean + SD) = 68%
P(x - SD < x < x + SD) = 68%
So,
a = x - SD and b = x + SD.
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36. The value of a is µ - σ for the interval of scores containing within one standard deviation from the mean is a < x < b.
37. The value of b is µ + σ for the interval of scores containing within one standard deviation from the mean is a < x < b.
Explanation:
Given that x is the score in the distribution. The interval of scores containing within one standard deviation from the mean is a < x < b. We need to find the values of a and b.
Formula used:
µ ± σ,
where µ = mean
σ = standard deviation.
Using this formula we can write:
µ - σ < x < µ + σ
36.
Given that x is the score in the distribution.
The interval of scores containing within one standard deviation from the mean is a < x < b.
Substitute the above formula in the given expression: µ - σ < x
a = µ - σ
µ - σ = a + σ
a = µ - σ
Thus, the value of a is µ - σ.
37.
Given that x is the score in the distribution.
The interval of scores containing within one standard deviation from the mean is a < x < b.
solve for b.
Substitute the above formula in the given expression:
xa < µ + σ
b = µ + σ
µ + σ = b - σ
b = µ + σ
Thus, the value of b is µ + σ.
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Please helpppp! For the function f(x) = -4x - 5, what are the outputs for the inputs 4, 1, 3, and 11?
A. 11; -9; -17; -49
B. 11; -1; 7; 39
C. -21; -9; -17; -45
D. -21; -1; 7; 39
f(x)=-4x-5
x=4, 1, 3, 11
f(4)=-4(4)-5=-16-5=-21
f(1)=-4-5=-9
f(3)=-12-5=-17
f(11)=-44-5=-49
-21, -9, -17, -49
Let x be proba bility with a random variable density function fca) =c(3x² + 4 ) ( ocx S3 Х - Let Y=2x-2, where У is the random variable in the above to find the density function fy(t) of y. Y. Make to specify the region where fy (t) #o. sure О
The density function fy(t) of the random variable Y, where Y = 2x - 2, can be determined by transforming the density function of the random variable X using the given relationship.
To find fy(t), we first need to find the inverse relationship between X and Y. From Y = 2x - 2, we can solve for x:
x = (Y + 2) / 2
Next, we substitute this expression for x in the density function of X, fX(x):
fX(x) = c(3x² + 4)
Substituting (Y + 2) / 2 for x, we have:
fX((Y + 2) / 2) = c[3((Y + 2) / 2)² + 4]
Simplifying the expression:
fX((Y + 2) / 2) = c(3/4)(Y² + 4Y + 4) + 4c
Expanding and simplifying further:
fX((Y + 2) / 2) = (3/4)cY² + 3cY + (3/4)c + 4c
Combining like terms:
fX((Y + 2) / 2) = (3/4)cY² + (12c + 3c)Y + (3/4)c + 4c
Now, we can see that fy(t), the density function of Y, is a quadratic function of Y. The specific coefficients and constants will depend on the values of c.
It is important to note that we need to specify the region where fy(t) is defined. Since fy(t) is derived from fX(x), we need to ensure that the transformation (Y = 2x - 2) is valid for the range of x values where fX(x) is defined.
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help me with this please
Answer:
XY=47
Step-by-step explanation:
1. Set up an equation for the perimeter of the rectangle. 2(5y-3)+2(4y)=174.
2. Simplify.
apply the Distributive Property. 2(5y-3)+2(4y)=10y-6+8ycombine like terms. 10y-6+8y=18y-63. Therefore, 18y-6=174.
4. +6 to both sides of the equation. the equation becomes 18y=180.
5. divide 18 to both sides of the equation. y=10.
6. the length of side XY=5y-3. substitute the value of y into the expression: 5(10)-3=50-3=47.
Help Starr worksheet review i wanna know what to do
help pleaseeeeeeeeeeeeee
Answer:
with what
Step-by-step explanation:
Can anyone help find x?
Answer:
x = 112°
Step-by-step explanation:
To find the value of x, you need to understand the properties of vertical and supplementary angles and know that the sum of angles inside a triangle is 180°.
Given the differential equation:
dy/dx -xy = -2 (x2 ex – y2)
with the initial condition y(0) = 1, find the values of y corresponding to the values of x0+0.2 and x0+0.4 correct to four decimal places using Heun's method.
The value of y corresponding to x₀ + 0.2 is approximately 0.6701 and the value of y corresponding to x₀ + 0.4 is approximately 0.5650 using Heun's method .
The differential equation using Heun's method, we will approximate the values of y at x₀ + 0.2 and x₀ + 0.4 based on the initial condition y(0) = 1.
Heun's method involves using the slope at two points to estimate the next point. The algorithm for Heun's method is as follows:
Given the initial condition y(x₀) = y₀, let h be the step size.
Set x = x₀ and y = y₀.
Compute k₁ = f(x, y) = -xy + 2(x² × eˣ - y²), where f(x, y) is the given differential equation.
Compute k₂ = f(x + h, y + hk₁).
Update y = y + (h/2) × (k₁ + k₂).
Update x = x + h.
Using the given initial condition y(0) = 1, we'll apply Heun's method to find the values of y at x₀ + 0.2 and x₀ + 0.4.
Initial condition
x₀ = 0
y₀ = 1
Step size
h = 0.2 (given)
Iterating through the steps until we reach x = 0.4:
x = 0, y = 1
k₁ = -0 × 1 + 2(0² × e⁰ - 1²) = -1
k₂ = f(0.2, 1 + 0.2×(-1)) = f(0.2, 0.8) = -0.405664
y = 1 + (0.2/2) × (-1 + (-0.405664)) = 0.7978688
x = 0.2, y = 0.7978688
k₁ = -0.2 × 0.7978688 + 2(0.2² × [tex]e^{0.2}[/tex] - 0.7978688²)
= -0.1777845
k₂ = f(0.4, 0.7978688 + 0.2×(-0.1777845))
= f(0.4, 0.7633118)
= -0.2922767
y = 0.7978688 + (0.2/2) × (-0.1777845 + (-0.2922767))
= 0.6701055
x = 0.4, y = 0.6701055
k₁ = -0.4 × 0.6701055 + 2(0.4² × [tex]e^{0.4}[/tex] - 0.6701055²)
= -0.1027563
k₂ = f(0.6, 0.6701055 + 0.2×(-0.1027563))
= f(0.6, 0.6495543)
= -0.2228019
y = 0.6701055 + (0.2/2) × (-0.1027563 + (-0.2228019))
= 0.5649933
Therefore, the value of y corresponding to x₀ + 0.2 is approximately 0.6701 (correct to four decimal places) and the value of y corresponding to x₀ + 0.4 is approximately 0.5650 (correct to four decimal places).
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how to find what is the value of the correlation coefficient?
The value of the correlation coefficient is represented by the symbol "r." It is a statistical measure that determines the degree of correlation or association between two variables.
There are various methods of calculating r, but the most common one is the Pearson correlation coefficient. To calculate the Pearson correlation coefficient, follow these steps:
Step 1: Collect the data for the two variables you want to determine the correlation for. The data should be continuous and normally distributed.
Step 2: Calculate the mean of both variables.
Step 3: Calculate the standard deviation of both variables.
Step 4: Calculate the covariance of the two variables using the formula below: `Cov(X, Y) = Σ [(Xi - Xmean) * (Yi - Ymean)] / (n-1)
`Step 5: Calculate the correlation coefficient using the formula below: `r = Cov(X, Y) / (SD(X) * SD(Y))` where r is the correlation coefficient, Cov is the covariance, SD is the standard deviation, X is the first variable, Y is the second variable, Xi and Yi are the individual values of X and Y, X mean and Y mean are the means of X and Y, and n is the number of observations. The resulting value of r ranges from -1 to +1. A value of -1 indicates a perfect negative correlation, a value of 0 indicates no correlation and a value of +1 indicates a perfect positive correlation.
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