Final answer:
When two variables are correlated or associated, it does not necessarily follow that one of the variables is the root cause of the other. Correlation does not always indicate cause.
What are the three forms of mathematical correlations ?The link between variables is described by correlation. It can be characterized as strong or weak, as well as positively or negatively.
Positive correlation occurs when two variables change in the same direction. There are three fundamental forms of correlation. The two variables fluctuate in opposite directions when there is a negative correlation. No association or meaningful connection exists between the two variables, hence there is no correlation.
The correlation coefficient aids in determining how closely two variables are related in a single figure. Finding the crucial variables that other factors depend on and comprehending economic behavior are both facilitated by correlation analysis.
Explanation:
A correlation test determines whether two variables are related. Nevertheless, just because two variables are traveling together does not necessarily mean they are connected. This is why the phrase "correlation does not indicate causation" is used frequently.
As two factors are connected or related, it does not necessarily imply that one of the variables is the main cause of the other. Correlation not always show cause.
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When gathering eggs from the hen house, John can collect 12 eggs every 3 minutes. Which graph correctly represents the unit rate for this proportional relationship?
Answer: I don’t see the graph options but the unit rate is 4 eggs every minute
Step-by-step explanation:
Answer:
if i does not understand bad its
12 24 36 48 60 72 84
1 . 2 . 3 . 4 . 5 . 6 . 7
Step-by-step explanation:
es facil con solo contar de 12 en 12
Use the distributive property to rewrite this expression.
4(c+8)
Answer: 4c+32
Step-by-step explanation:
Two complementary angles are in the ratio 7 :11. Find the angles
Answer:
7x+11x=90
18x=90
x=5
one angle = 35 degrees
another angle = 55 degrees
Step-by-step explanation:
Please help pleaseeee
Answer:
32/33
Step-by-step explanation:
We first need to find out how many square yards are vacuumed every one minute.
Let's set up a chart:
yards minutes
8/11 --> 3/4
y --> 1
Here, y is the number of yards it takes to vacuum in one minute. Next, we can use cross-multiplication to find out y.
1. Multiply 1 by 8/11 to get... 8/11
2. Multiply 3/4 by y to get... 3/4y
3. Equate them: 8/11 = 3/4y
4. Divide both sides of the equation by 3/4 OR multiply both sides of the equation by 4/3 to isolate y, the variable
5. This gives us 32/33 = y
Professor Zsolt Ugray lives in Boston and is planning his retirement. He plans to move to Florida and wants to buy a boat. The boat he is buying is a "2007 Sea Ray 340 Sundancer" (see image).
Using your Excel skills and understanding of financial functions, you're helping Prof. Ugray assess the impact of this loan on his finances. To buy this boat, Prof. Ugray will get a large Loan ($150,000) and pay $1,770 monthly during 10 years.
Calculate below:
- The monthly rate for this loan
- The annual rate for this loan
- The effective annual rate for this loan
- Total Amount Paid After 10 Years
- The Future value for this loan.
The monthly rate for the given loan is 1.0118%.The annual rate for this loan is 12.1423%.
Given loan: $150,000
Payment per month: $1,770
Duration of loan: 10 years
Interest = ?
The formula for monthly payment is given by:
\(PV = pmt x (1 - (1 + r)^-n) / r\)
Where, PV is the present value, pmt is the payment per period, r is the interest rate per period and n is the total number of periods.Solving the above formula for r will give us the monthly rate for the loan.
r = 1.0118%The monthly rate for the given loan is 1.0118%.The annual rate can be calculated using the following formula:
Annual rate = \((1 + Monthly rate)^12 - 1\)
Annual rate = 12.1423%
The annual rate for this loan is 12.1423%.The effective annual rate can be calculated using the following formula:
Effective annual rate =\((1 + r/n)^n - 1\)
Where, r is the annual interest rate and n is the number of times interest is compounded per year.If interest is compounded monthly, then n = 12
Effective annual rate = (1 + 1.0118%/12)^12 - 1
Effective annual rate = 12.6801%
The effective annual rate for this loan is 12.6801%.
Total amount paid after 10 years = Monthly payment x Number of payments
Total amount paid after 10 years = $1,770 x 120
Total amount paid after 10 years = $212,400
The total amount paid after 10 years is $212,400.
The future value for this loan can be calculated using the following formula:
FV = PV x (1 + r)^n
Where, PV is the present value, r is the interest rate per period and n is the total number of periods.If the loan is paid off in 10 years, then n = 120 (12 payments per year x 10 years)
FV = $150,000 x (1 + 1.0118%)^120
FV = $259,554.50
The future value for this loan is $259,554.50.
Thus, the monthly rate for the loan is 1.0118%, the annual rate for this loan is 12.1423%, the effective annual rate for this loan is 12.6801%, the total amount paid after 10 years is $212,400 and the future value for this loan is $259,554.50.
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Any population, P, for which we can ignore immigration, satisfies dP/dt = Birth rate - Death rate. For organisms which need a partner for reproduction but rely on a chance encounter for meeting a mate, the birth rate is proportional to the square of the population. Thus, the population of such a type of organism satisfies a differential equation of the form dP/dt = aP^2 - bP with a, b > 0. This problem investigates the solutions to such an equation. Sketch a graph of dP/dt against P. Note when dP/dt is positive and negative. dP/dt < 0 when P is in dP/dt > 0 when P is in
As a result, on a graph of dP/dt vs P, the curve would be concave down for P b/a and concave up for P > b/a. The curve would reach its maximum when P = b/a, with dP/dt equal to zero.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.
Here,
The equation dP/dt = aP² - bP represents the rate of change of the population P over time t.
When dP/dt is positive, the population is increasing. When dP/dt is negative, the population is decreasing.
To find when dP/dt is positive and negative, we need to find the critical points where dP/dt = 0.
Solving the equation dP/dt = aP² - bP = 0, we get:
aP² - bP = 0
aP(P - b/a) = 0
This equation has two solutions: P = 0 and P = b/a.
For P < b/a, dP/dt is negative (the population is decreasing). For P > b/a, dP/dt is positive (the population is increasing).
So, on a graph of dP/dt against P, the curve would be concave down for P < b/a and concave up for P > b/a. At P = b/a, the curve would have a maximum and dP/dt = 0.
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please help me with this problem
For triangle 1, X= 130, because 15+35=50 and 180-50=130 so x would have to be 130 since you still need 130 degrees to make it a full triangle.
For triangle 2, you still need 123 more degrees for it to be a full triangle. So X= 22, because 3x22=66, and (2x22+13)=57, and 57+57+66=180, and all triangles add up to 180 degrees
For triangle 3, I can't figure out the answer but I do know that the 2 unknown angles add up to 90 degrees.
For the next section, both sets are congruent, because they line up equally to each other, and congruent means the same, equal, or identical.
For the next section, just by looking at them, at least I can tell that they are congruent, I don't know if you can, but I can.
Angle P would be equivalent to angles M and N, I know this because that middle triangle is an equilateral triangle and in an equilateral triangle all sides are the same.
And the last section,
Triangle 11- the 2 unknown angles have to add up to 139 because 180-41=139. So, X=15, because (2x15-9)=21, 7x15+13=118, and 21+118=139, and 139+41=180.
Triangle 12- I am confused, Sry
Triangle 13- I am confused, Sry
Triangle 14- I am confused, Sry
What is equivalent to 4/-9?
i do not know how to get the solutions
Answer: this is the solutions
Directions: Determine whether each statement is always, sometimes, or never true.Name the theorem that will support your answer. Write your answers on the spaceprovidedStatementAnswerReason1. A line and a point are coplanar.2. Congruent angles form vertical angles.3. Linear pair that are congruent are rightangles.4. The sum of angles that formed linear pairis less than 180'.5. Vertical angles are complementary.
The given statement is 1. Always true
2. Always true
3. Always true
4. Sometimes true
5. Never true
Statement 1: A line and a point are always coplanar.
Answer: Always true.
Reason: This statement is always true because a line and a point can always be found on the same plane. In Euclidean geometry, a plane is a flat surface that extends infinitely in all directions, and any two points on the plane can be connected by a straight line. Therefore, a line and a point will always lie on the same plane.
Statement 2: Congruent angles form vertical angles.
Answer: Always true.
Reason: Vertical angles are formed by the intersection of two lines. When two angles are congruent, it means they have the same measure. If two angles have the same measure and are formed by the intersection of two lines, then they are vertical angles. Therefore, congruent angles always form vertical angles.
Statement 3: Linear pairs that are congruent are right angles.
Answer: Always true.
Reason: A linear pair consists of two adjacent angles that share a common side and form a straight line. If the two angles of a linear pair are congruent, it means they have the same measure. In Euclidean geometry, a straight angle measures 180 degrees. If two angles in a linear pair are congruent and their measures add up to 180 degrees, then each angle must measure 90 degrees, which is the measure of a right angle. Therefore, linear pairs that are congruent are always right angles.
Statement 4: The sum of angles that form a linear pair is less than 180 degrees.
Answer: Sometimes true.
Reason: The sum of angles that form a linear pair is always equal to 180 degrees, not less than 180 degrees. This is based on the definition of a linear pair, which states that the two angles in a linear pair are supplementary, meaning their measures add up to 180 degrees. However, if the statement said "less than or equal to 180 degrees," then it would be always true.
Statement 5: Vertical angles are complementary.
Answer: Never true.
Reason: Vertical angles are not complementary. Complementary angles are two angles that add up to 90 degrees. Vertical angles, on the other hand, are a pair of non-adjacent angles formed by the intersection of two lines. They do not necessarily have any specific relationship to each other in terms of their angle measures. Therefore, vertical angles are not complementary by definition.
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The truth of each statement depends on the properties of angles and theorems that support them. A line and a point are always coplanar, congruent angles can sometimes form vertical angles, congruent linear pairs are not always right angles, the sum of angles that form a linear pair is always 180 degrees, and vertical angles are never complementary.
To determine the truth of each statement, we need to consider the properties of angles and theorems that support them.
Statement 1: A line and a point are coplanar.About angles here:
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Find the equation of this line.
1
y =
x + [ ]
Answer:
y = -2/4x + 1
Step-by-step explanation:
this is what I got
The joint density function of X and Y is
f(x,y) = x+y if 0 < x <1, 0 < y <1,
otherwise.
Are X and Y independent? Justify your answer.
Assume that X and Y are independent normal variables with mean 0 and variance 1. Prove that
X+Y normal(0, 2).
X and Y are independent normal variables with mean 0 and variance 1, we know that X+Y is also a normal variable with mean 0 and variance Var(X+Y) = Var(X) + Var(Y) = 1+1 = 2. Therefore, X+Y is normal(0, 2).
To determine if X and Y are independent, we must first calculate their marginal densities:
fX(x) = ∫f(x,y)dy from y=0 to y=1
= ∫(x+y)dy from y=0 to y=1
= x + 1/2
fY(y) = ∫f(x,y)dx from x=0 to x=1
= ∫(x+y)dx from x=0 to x=1
= y + 1/2
Now, let's calculate the joint density of X and Y under the assumption that they are independent:
fXY(x,y) = fX(x)*fY(y)
= (x+1/2)(y+1/2)
To check if X and Y are independent, we can compare the joint density fXY(x,y) to the product of the marginal densities fX(x)*fY(y). If they are equal for all values of x and y, then X and Y are independent.
fXY(x,y) = (x+1/2)(y+1/2)
= xy + x/2 + y/2 + 1/4
fX(x)fY(y) = (x+1/2)(y+1/2)
= xy + x/2 + y/2 + 1/4
Since fXY(x,y) = fX(x)*fY(y), X and Y are indeed independent.
Now, let's prove that X+Y is normal(0, 2):
Since X and Y are independent normal variables with mean 0 and variance 1, we know that X+Y is also a normal variable with mean 0 and variance Var(X+Y) = Var(X) + Var(Y) = 1+1 = 2. Therefore, X+Y is normal(0, 2).
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Find the value of x so that f(x)=7
Answer:
-3
Step-by-step explanation:
ill give brainliest
Lines M and N are parallel. Find the measure of ∠b
A. 51∘
B. 39∘
C. 57∘
D. 129∘
Answer:
If they are parallel then angle b is
A. 51°
Step-by-step explanation:
Find the slope and constant of
y=2x-5
Answer:
Slope: 2
Step-by-step explanation:
A bag of white sugar and a bag of brown sugar each contain 11 1/3 cups of sugar. How Many muffins can Maria top if she has 1 bag of each type of sugar?Explain your reasoning。This is super urgent tahnks
Answer:
187
Step-by-step explanation:
Fraction to make topping:
1/4 cups of white ; 2/3 cups of brown
Combined = 1/4 + 2/3 = (3 + 8) /12 = 11/12 cups
Fraction of combined used to top muffin = 1/12
Number of muffins that can be topped per combination made :
11/12 ÷ 1/12 ; 11 /12 * 12 / 1 = 11 muffins
Recall :
Each sugar has 11 1/3 cups
For brown sugar :
34 /3 ÷ 2/3 cups
34 /3 * 3 /2 = 17
For white sugar :
34 /3 * 4 /1 = 45.33
However, the highest amount of combined muffin topping for white sugar will be restricted by the number of brown :
Hence,
11 muffins can be topped from each combined mixture ;
Total muffin that can be topped :
17 * 11 = 187 muffins
A single piecewise-defined function f(x) has been
graphed for you on the display to the left.
At how many values c on the interval x€[−6, 4) is it
true that the limx→cf(x) = 1?
Answer: 1
Step-by-step explanation:
\(\lim_{x \to -6} f(x) \neq -1\) because the left and right hand limits are not the same.
\(\lim_{x \to -1} f(x) \neq -1\) because the left and right hand limits are not the same.
However, somewhere between 1 and 2, the limit does equal -1 because the left and right hand limits are the same.
If <1 and <2 are supplementary angles and m<1
3°, what is m<2?
Answer:
177 degrees
Step-by-step explanation:
supplementary angles add up to 180 degrees, so if angle one is 3 then angle two is 177
What is -5(-2) equal to
Step-by-step explanation:
10
I think this should be the answer
Answer:
10
Step-by-step explanation:
Re-write it: -5 × -2-5 × -2 = 5 × 2 = 10I hope this helps!
Your friend surveyed 100 people who took either vitamin C, zinc, or
Echinacea supplements to prevent getting a cold. The participants
were asked if they had a cold or no cold in the last 30 days.
no cold
cold
total
vitamin C
41
zinc
12
5
17
echinacea
21
total
26
100
What ratio of people in the survey took Echinacea?
Answer:
27 : 100
Step-by-step explanation:
Given :
__________ no cold ____ cold _____ total
Vitamin C ___ 41 ________ 15 ______ 56
Zinc _______ 12 _________5 ______ 17
Echinacea __ 21 _________ 6 ______ 27
Total ______ 74 _________ 26 ____ 100
The ratio of people who took Echinacea :
Number of people who took Echinacea : total number of people in the survey
From the TOTAL column:
Number of people who took Echinacea = 27
Total Number of people in survey = 100
Hence, ratio equals :
27 : 100
4. The graph below represents the result of a survey in
which a number of students reported how many letters
were in their last names.
NAME LENGTH
3
4
5
7
Number of Letters
What's the shortest name length
100
8
9
10
Answer:
11 students answered the survey, and the shortest name length is 3 letters
what is the circumference of a circle diameter of 6 feet?use 3.14 for n
Answer:
18.84 feet.
Step-by-step explanation:
The formula for the circumference of a circle is:
2Pi*radius
The radius would be half the diameter so 3.
2*3.14*3
Jordan was reading a book that was 124 pages long. Jessica was reading a book that was 98 pages long. How much longer was Jordan's book than Jessica's?
Jordan was reading 26 pages more than jessica
31 points if someone gets it right
You randomly draw one marble from this collection.
2 checker marbles 2 brick marbles and 4 stripe marbles
What is the probability of drawing a star-designed marble? Write your answer as a fraction.
Find the sum of the first 10 terms of an arithmetic sequence with an eighth term of 8.2 and a common difference of 0.4.
The sum of first 10 terms is 72.
Concept: Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.
Arithmetic Progression Formula
= an - a. nth term of an AP: an = a + (n - 1)d. Sum of n terms of an AP: Sn = n/2(2a+(n-1)d) = n/2(a + l), where l is the last term of the arithmetic progression.
Given:
Eighth term is 8.2
Common difference is 0.4
a(8) = 8.2
a + 7d = 8.2
Since d = 0.4
a + 7(0.4) =8.2
a = 5.4
Sum of 10 terms = n/2 (2a+(n-1)d)
= 5(2*5.4 + 9*0.4)
=5(10.8 +3.6)
Sum=72
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How did the Medieval Church control people's lives?
Answer:
The Church regulated and defined an individual's life, literally, from birth to death and was thought to continue its hold over the person's soul in the afterlife
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Step-by-step explanation:
What is the nature of the roots for y=2x^2- 5? Use the discriminant to determine the nature of the roots.
The nature of the roots for y=2x²- 5 is there are 2 distinct real roots.
What is the nature of roots?
The nature of the roots of the quadratic can fall into one of three categories depending on the value of the discriminant
Δ > 0 means there are 2 distinct real roots.
Δ = 0 means there are 2 equal real roots or 1 distinct real root.
Δ < 0 means there are no real roots, but 2 complex roots.
Here,
The discriminant of a quadratic is the expression inside the radical of the quadratic formula.
b² - 4ac
Substitute the values of a, b, and c.
Evaluate the given equation to find the discriminant, we get
= 0 - 4×2×(-5)
= 41
> 0
Since the discriminant is greater than 0
Hence, there are 2 distinct real roots.
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x² - 3x = 4 in standard form
Answer:
Three times a number, when subtracted from the square of that number gives four.
Step-by-step explanation:
let x = any number3x = three times a number4 = fourHOPE THIS HELPS YOU
HOPE THIS HELPS YOUFollw me = 10 thanks
HOPE THIS HELPS YOUFollw me = 10 thanksMark as brainliest = 10 thanks
HOPE THIS HELPS YOUFollw me = 10 thanksMark as brainliest = 10 thanks1 thanks to me = 2 thanks
2 m
4 m
9 m
Ox=4.5m
Ox= 18m
Ox=8m
Ox= 2.25m
Answer:
4.5
Step-by-step explanation:
if smaler shape =4 when bigger shape =9
therefore 4=9
2=y
crossmultiply
18=4y
y=18/4
y=4.5
what is the quotient of 3/5 and 2/3
Answer:
The quotient of 3/5 and 2/3 is 9/10
Explanation:
3/5 divided by 2/3 is 9/10
Or a easier way to divide fractions is this way:
3/5 divided by 2/3 = ?
Flip the second fraction (from 2/3 to 3/2)
And then multiply:
3/5 x 3/2 = 9/10
(Simplify if needed but in this problem there is no need to simplify)