what will happend to the curve, When two variables move in oppositeA) downward sloping, and we say the variables are negatively relatedB) upward sloping, and we say the variables are positively related..
A negative relationship exists when two connected variables move in opposite directions. As a result, Option A is right which has a downward slope and variables that are negatively correlated.
An inverse correlation, sometimes referred to as negative correlation, is a relationship between two variables in which, when one variable's value is high, the other variable's value is likely low.
For instance, with the variables A and B, when A is high, B is low, and when A is low, B is high. In statistical nomenclature, an inverse correlation is frequently expressed by the correlation coefficient "r," which has a value between -1 and 0, with r = -1 signifying complete inverse correlation.
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Pleaze help worth 30 points
Answer:
the second one
Step-by-step explanation:
Each number moves up the same amount each time, on the table. For both x and y.
Given f(2) = 12, which of the following could be an equation of the function?
A.
f(x) = 8x – 2
B.
f(x) = 4x + 4
C.
f(x) = 6x – 4
D.
f(x) = –4x – 4
We can use the given value of f(2) = 12 to determine the correct equation for the function.
A. f(x) = 8x - 2
If we plug in x = 2, we get f(2) = 8(2) - 2 = 14, which does not match the given value of 12.
B. f(x) = 4x + 4
If we plug in x = 2, we get f(2) = 4(2) + 4 = 12, which matches the given value of 12.
C. f(x) = 6x - 4
If we plug in x = 2, we get f(2) = 6(2) - 4 = 8, which does not match the given value of 12.
D. f(x) = -4x - 4
If we plug in x = 2, we get f(2) = -4(2) - 4 = -12, which does not match the given value of 12.
Therefore, the correct equation for the function could be f(x) = 4x + 4, or choice B.
What are the coordinates of point P?
On a coordinate plane, Point P is 2 units to the left and 4.5 units down.
(Negative 4.5, negative 2)
(Negative 2, negative 4.5)
(2, negative 4.5)
(4.5, negative 2)
Answer:
they’re both negative to -4.5 is the answer
Step-by-step explanation:
Answer: They’re both negative to -4.5 is the answer
Step-by-step explanation:
Brody and his children went into a movie theater and he bought $44.50 worth of
drinks and pretzels. Each drink costs $6 and each pretzel costs $3.25. He bought a
total of 12 drinks and pretzels altogether. Determine the number of drinks and the
number of pretzels that Brody bought.
Answer:
10 pretzels and 2 drinks
Step-by-step explanation:
2 drinks are 12
10 pretzels are 32.50
Answer:
2 drinks, 10 pretzels
Step-by-step explanation:
d = # of drinks
p = # of pretzels
1) d + p = 12
2) $6d + $3.25p = $44.50
solve equation 1 for d: d = 12 - p substitute this into equation 2 and solve for p
6(12 - p) + 3.25p = 44.50
72 - 6p + 3.25p = 44.50
-2.75p = 44.50 - 72
-2.75p = -27.50
p = -27.50/-2.75 = 10 plug this into equation 1 and solve for d
d = 12 - 10 = 2
double check the answers: 6(2) + 3.25(10) = 44.50 correct!
To make a model volcano that actually erupts , Tomo mixes chemicals using the recipe shown
Fake Lava Recipe is described below:
I/2 of the mix is baking soda 3/8 of the mix of the mix is vinegar 1/8 of the mix is dish soapBatch 1 Batch 2
Baking soda 1 6
Vinegar 3/4 4.5
Dish Soap 1/4 1.5
What is Baking soda ?Baking soda is described as a chemical compound with the formula NaHCO₃ and it is known as a salt composed of a sodium cation and a bicarbonate anion.
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How to calculate corporate governance
Answer:
Focus on strategic measures.
Develop performance measurement skills.
Get board and CEO buy-in.
Track progress over time.
Measure often.
Step-by-step explanation:
If the length of an aqueduct is to be 3000 meters, what will be drop at the end destination if the slope is 0.5%?
The drop at the end destination of the aqueduct would be 15 meters.
To see why, we can use the formula:
drop = slope * length
where the slope is given as 0.5% (or 0.005 as a decimal) and the length is given as 3000 meters.
So,
drop = 0.005 * 3000 = 15
Therefore, the drop at the end destination of the aqueduct would be 15 meters.
What is one solution to the trigonometric equation sinx − cos^2 x - 1 = 0 in the interval [0, 2π]?
The solution to the trigonometric equation given in the task content is; π / 2.
What is a solution to the given trigonometric equation?Given; sin x − cos² x - 1 = 0 in the interval [0, 2π].
Recall; cos² x = 1 - sin² x
Therefore; sin x − 1 + sin² x - 1 = 0
sin² x + sin x - 2 = 0
Let, y = sin x;
y² + y - 2 = 0
y = -2 or y = 1
Therefore, the valid value of y is; y = 1.
Therefore; 1 = sin x
x = sin-¹ (1)
x = 90° = π/2.
Consequently, the one solution which represents the solution as required is; π / 2.
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Which function is not graphed correctly? Help needed ASAP!!
Answer:
Step-by-step explanation:
A is not graphed correctly. The graph is turned upside down from what it should be.
what is the expansion of the series sum from n equals 1 to 4 of 3 to the n plus 1 power question mark 9 27 81 243 9 12 15 18 3 9 27 81 3 6 9 12
The expansion of the series sum from n equals 1 to 4 of 3 to the n plus 1 power is 9 27 81 243.
What is sequence?An arithmetic sequence is one in which each term is produced by either increasing or decreasing the preceding number by a specific amount.
Geometric progressions: A geometric sequence is one where each phrase is produced by multiplying or dividing a certain integer by the one before it.
Harmonic patterns: If the reciprocals of every number in a sequence form an arithmetic sequence, the numbers are said to be in harmonic sequence.
To expand the series, we substitute the value of n in the given expression to get the final value.
The given series is:
[tex]\sum_{n=1}^{4} (3)^{n+1}[/tex]
Substitute the value of n from 1 to 4 in the given expression.
[tex]\sum3^{1+1} = 9\\\\\sum3^{2+1} = 27 \\\\\sum3^{3+1} = 81 \\\\\sum3^{4+1} = 243[/tex]
Hence, the expansion of the series sum from n equals 1 to 4 of 3 to the n plus 1 power is 9 27 81 243.
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The Tabletop Games club, a student-led campus group, hosted a virtual concert last week to raise awareness about their club and bring community members together. They sold full-price tickets for$7. 00, tickets for senior citizens were $5. 25and student tickets cost $5. 50. After the concert, they counted up the totals. There were a total of 215 tickets sold, and ticket sales brought in $1,214. 0. It was noted that there were 3 times as many senior citizen tickets sold as there were full-price tickets. Write and solve a linear system to determine how many of each type of ticket were sold. There were _____full-price tickets. There were ____senior citizen tickets. There were ____student tickets
There were 42 full-price tickets sold, 126 senior citizen tickets sold, and 47 student tickets sold.
Let's define the variables:
Let's call the number of full-price tickets sold "f".
Let's call the number of senior citizen tickets sold "s".
Let's call the number of student tickets sold "t".
From the problem statement, we know:
The total number of tickets sold is 215: f + s + t = 215
The total revenue from ticket sales is $1,214.00: 7f + 5.25s + 5.50t = 1214
The number of senior citizen tickets sold is 3 times the number of full-price tickets sold: s = 3f
We can use the third equation to substitute "3f" for "s" in the first two equations, and simplify:
f + 3f + t = 215 -> 4f + t = 215
7f + 15.75f + 5.50t = 1214 -> 22.75f + 5.50t = 1214
Now we have two equations with two variables, which we can solve using any method of our choice. For simplicity, we will use the substitution method:
From the first equation, we can isolate "t":
t = 215 - 4f
We can substitute this expression for "t" in the second equation, and solve for "f":
22.75f + 5.50(215 - 4f) = 1214
22.75f + 1182.5 - 22f = 1214
0.75f = 31.5
f = 42
So, there were 42 full-price tickets sold. We can use the third equation to find the number of senior citizen tickets sold:
s = 3f = 3(42) = 126
Finally, we can use the first equation to find the number of student tickets sold:
f + s + t = 215 -> 42 + 126 + t = 215 -> t = 215 - 42 - 126 = 47
Therefore, there were 42 full-price tickets sold, 126 senior citizen tickets sold, and 47 student tickets sold.
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how to divide fractions with whole numbers and mixed numbers
To multiply, flip (or invert) the divisor into a reciprocal, then start changing the division sign to a multiplication symbol. If you can, simplify your response.
1. Use a division sign to start writing the entirety and the mixed numbers as improper fractions.
2. Write this same divisor's mutual recognition as well as replace the division sign with a multiplication sign.
3. Simplify any common factors in which it actually occur.
4. To achieve the outcome, simply multiply the numerators and denominators together.
Let us try this: 3½ ÷ 2
Rewrite 3½ as an invalid fraction.
i.e, 7/2 ÷ 2/1
Write the reciprocal of the divisor and replace with, 7/2 × 1/2 = 7/4
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You are told that you will have to wait for 5 hours in a line with a group of other people. Determine whether:
1. You know the number of minutes you have to wait.
2. You know how many people have to wait.
For each statement, if you answer yes draw an input-output diagram and write a statement that describes the way one quantity depends on another.
If you answer no give an example of 2 outputs that are possible for the same input.
The number of hours you have to wait is 300 minutes.
What is the unit rate?
A unit rate is a cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.
Given that,
You are told to you will have to wait 5 hours in a line with a group of other people.
Based on the above information, the calculation is as follows:
We know that
1 hour = 60 minutes
5*60
= 300 minutes
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An average American consumes 75 liters of icecream in a year how many millimeters will 50 Americans consume in one week
I think I might have an answer to your question!
To convert liters to millimeters, we need to know the density of ice cream. The density of ice cream can vary depending on the type and composition of the ice cream.
According to a source, the density of ice cream is around 0.6 g/mL on average. Therefore, 1 liter of ice cream would weigh around 600 grams or 600,000 milligrams.
With this information, we can calculate the total amount of ice cream consumed by 50 Americans in one week as follows:First, we need to convert the annual consumption from liters to milliliters:
75 liters/year * 1000 milliliters/liter = 75,000 milliliters/year
Next, we need to calculate the amount consumed in one week by one American:
75,000 milliliters/year / 52 weeks/year / 1 American = 1,442 milliliters/week/American
Finally, we can calculate the amount consumed by 50 Americans in one week:
1,442 milliliters/week/American * 50 Americans = 72,100 milliliters/weekTherefore, 50 Americans will consume 72,100 milliliters of ice cream in one week.
On graph paper, plot and . 7-74 HW eTool (Desmos). Homework Help ✎
If is the midpoint of is the midpoint of , and is the midpoint of , what are the coordinates of ?
What fraction of the distance from to is ? How do you know?
Use the ratio from part (b) to determine the coordinates of point .
7-75.
Therefore , the solution of the given problem of coordinate comes out to be the coordinates of point H are (3, 0).
How are coordinates used?Using one or more values or coordinates, a coordinate system is a geometry approach used to better able to monitor points or any other topological items on a spectrum, such as Euclidean space. The coordinates of a point or object on a double plane are a pair of integers. A point's placement on a 2D plane is specified by two integers called the x and y coordinates. a set of integers indicating precise locations. The figure typically includes two numbers.
Here,
Since the midpoint of a line segment is the average of its endpoints, we can use this fact to find the coordinates of point P:
The x-coordinate of P is the average of the x-coordinates of A and B: (2 + 6)/2 = 4.
The y-coordinate of P is the average of the y-coordinates of A and B: (-1 + 3)/2 = 1.
Therefore, the coordinates of point P are (4, 1).
To find what fraction of the distance from A to P is AP, we can use the distance formula:
AP = √[(4 - 2)² + (1 - (-1))²] = √20 = 2√5
And the distance from A to P is:
AP = √[(4 - 2)² + (1 - (-1))²] = √20 = 2√5
So the fraction of the distance from A to P that is AP is:
AP/AH = (2√5)/[2√(5² + 2²)] = √5/3
To find the coordinates of point H, we can use the fact that the x-coordinate of H is the average of the x-coordinates of A and P, and the y-coordinate of H is the average of the y-coordinates of A and P:
The x-coordinate of H is (2 + 4)/2 = 3.
The y-coordinate of H is (-1 + 1)/2 = 0.
Therefore, the coordinates of point H are (3, 0).
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how to read a ruler in inches
One inch is equal to 2.54 centimeters on the ruler, so, to read on the ruler, every 2.54 cm will be equal to one inch.
Normally a ruler scale if of length 15cm. we have certain marks on the ruler to read the rules of the scale/ruler.
Now, from the standard unit conversion methods, we know, one inch is equal to about 2.54 centimeters.
Now, what we to is, to read the ruler, we mark every 2.54cm on the ruler and that becomes equal to one inch. On a scale of 15cm there will be 6 inches on the ruler.
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how to convert 300000 yen to usd?
300000 yen is approximately equal to 2233.38 USD ( rounded to two decimal places )
The conversion factor to convert yen to USD is 0.0074
1 yen = 0.0074 USD
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
The currency in USD = The currency in yen × conversion factor
Substitute the values in the equation
1 yen = 0.0074 USD
300000 = 300000 × 0.0074
Multiply the numbers
= 2233.38 USD ( rounded to two decimal places )
Therefore, 300000 yen is 2233.38 USD
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Here is another picture of two squares and a circle. Use the picture to explain why the area of this circle is more than 18 square units and less than 36 square units.
The area of the circle is more than 18 square units of the smaller square inside it and less than 36 square units of the bigger square which the circle is enclosed in. The circumference of the circle is question 2 is equal to 47 to the nearest whole number.
What is the circumference of a circleThe circumference of a circle is the distance around its edge or perimeter. It can be calculated using the formula:
Circumference = 2 x π x radius
where π (pi) is a mathematical constant approximately equal to 3.14.
Alternatively, the formula can be expressed using the diameter of the circle, which is the distance across the circle passing through its center:
Circumference = π x diameter
The second question have its diameter as 15cm hence its circumference is evaluated as:
Circumference = 3.14 × 15cm
Circumference = 47.1cm.
The first question have the area of the bigger square equal to 36 square units and that of the smaller square equal to 18 square units, since the smaller square is enclosed by the circle and the circle is enclosed by the bigger square, then the area of the circle is more than 18 square units and less than 36 square units.
In conclusion, the area of the circle is more than 18 square units and less than 36 square units for the first question. And the circumference of the circle for the second question is equal to 47 to the nearest whole number.
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Question 3(Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The shoe sizes of a group of middle school girls are shown.
5.5 6 7 8.5 6.5
6.5 8 7.5 8 5
If a shoe size of 7 is added to the data, how does the IQR change?
The IQR becomes a 2.5.
The IQR becomes a 1.5.
The IQR remains a 3.
The IQR remains a 2.
If a shoe size of 7 is added to the data the IQR remains the same 2. Option D is the correct answer.
What is IQR?The interquartile range (IQR) in descriptive statistics is a measurement of statistical dispersion, or the spread of the data. The IQR is also known as the middle 50%, the fourth spread, or the H-spread. The difference between the data's 75th and 25th percentiles is how it is defined.
By using linear interpolation, the data set is separated into quartiles, or four rank-ordered even sections, to determine the IQR.
The shoe size in increasing order are written as:
5,5.5,6,6.5,6.5,7,7.5,8,8.5
The median of the data is:
Median = 5th value
Median = 6.5
The IQR of the data is given as:
IQR = Q2 - Q1
IQR = (7.5 + 8)/ 2 - (5.5 + 6) / 2
IQR = 2
When 7 is added to the data, the new order is:
5,5.5,6,6.5,6.5,7,7,7.5,8,8.5
The median of the new data is:
Median = 5th + 6th value/ 2
Median = (6.5 + 7)/2 = 6.75
The IQR of the data is given as:
IQR = Q2 - Q1
IQR = (7.5 + 8)/ 2 - (5.5 + 6) / 2
IQR = 2
Hence, if a shoe size of 7 is added to the data the IQR remains the same 2. Option D is the correct answer.
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Sai borrowed $390 from his mum to buy a phone. His mum says she will reduce his debt by 5% of what he owes at the end of each month, provided he keeps his room tidy. If he manages to keep his room tidy for three months, what does he owe her at the end of that period?
The amount owed at the end of that period is given as follows:
$334.
What is an exponential function?An exponential function is modeled as follows:
y = ab^x.
In which:
a is the value of y when x = 0.b is the rate of change.For a decreasing exponential function, the rate of change b is given as follows:
b = 1 - r.
In which r is the decay rate.
The parameters for this problem are given as follows:
a = 390, r = 0.05, b = 0.95.
Hence the function giving the amount owed after x months is given as follows:
y = 390(0.95)^x.
After three months, the amount owed is given as follows:
y = 390(0.95)^3
y = $334.
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Answer:
$334.37
Step-by-step explanation:
At the start, Sai owes his mum $390. After the first month, his mum reduces his debt by 5% of $390, which is 0.05 x $390 = $19.50. So at the end of the first month, he owes his mum $390 - $19.50 = $370.50.
After the second month, his mum reduces his debt by 5% of $370.50, which is 0.05 x $370.50 = $18.53. So at the end of the second month, he owes his mum $370.50 - $18.53 = $351.97.
After the third month, his mum reduces his debt by 5% of $351.97, which is 0.05 x $351.97 = $17.60 (rounded to the nearest cent). So at the end of the third month, he owes his mum $351.97 - $17.60 = $334.37.
Therefore, Sai owes his mum $334.37 at the end of three months.
Calculate the standard deviation of a set of seventeen numbers described by Σx=272 Σx² = 11849
The standard deviation of a set of seventeen numbers described by Σx=272 Σx² = 11849 is 21.
What is Standard deviation?The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
We have Σx=272 and Σx² = 11849.
n= 17
So, the Variance of the Data
= Σx²/n - (Σx/ n)²
= 11849 / 17 - (272/17)²
= 697 - 256
= 441
Then, the Standard deviation is
= √Variance
= √441
= 21
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what is grain to gram ?
Although both grains and grams are weight-measuring units, they are not interchangeable.
The weight of gunshots, arrows, and gunpowder is often measured in the United States using a unit of mass called a grain. A grain weighs around 0.06479891 grams.
In contrast, a gram is a mass unit in the International System of Units (SI) that is often employed in scientific and practical contexts. There are 15.4323584 grains in one gram.
You may multiply the total number of grains by 0.06479891 to convert grains to grams. If you have 500 grains, for instance, you would convert them to grams as follows: 500 grains x 0.06479891 grams per grain = 32.399455 grams.
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A house was valued at $384,000. Over several years, the value increased by 18%, giving the house a new value.
The new value of the house will be $453120.
How can we express : "a% of b" ?We can write : a% of b as -
a% of b = a/100 x b
a% of b = ab/100
Given is that a house was valued at $384,000. Over several years, the value increased by 18%.
We can write the new value as -
{x} = 384000 + 18% of 384000
{x} = 384000 + 18/100 x 384000
{x} = 384000 + 18 x 3840
{x} = 384000 + 69120
{x} = 453120
Therefore, the new value of the house will be $453120.
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how to convert 0.06 as a fraction?
The value 0.06 as a fraction is 3/50 .
In mathematics, fractions are defined as part of a whole. A whole can be an object or a group of objects. In real life, if you cut a pie out of the whole pie, that piece becomes part of the pie. Fractions are words of Latin origin. "Fractus" means "broken" in Latin. In ancient times, rest was expressed in words. Later it was introduced in numerical form.
Fractions are also called parts or sections of any quantity. Represented by the symbol '/'. Bachelor/Bachelor For example, 2/4 is the numerator above and the fraction below the denominator. In this article, you will learn the definition of fractions in mathematics, types of fractions, how to convert fractions to decimals, and many solved examples and full explanations
to convert in fraction we will muliply and devide by 100.
0.06 *100/100 =3/50
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What is the conversion of 72cm to inches?
Answer:
28.346
Step-by-step explanation:
divide the length value by 2.54
a rectangular room measures 14 feet by 17 feet with a 9 foot high ceiling the room is being painted each wall will be painted with two coats and the ceiling will be painted wih one coat each gallon of paint covers 350 square feet and costs $28 what is the total price for paint with an 8.5% sales tax?
The total price for paint with an 8.5% sales tax is $69.02928.
What is Area?The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure.
Given:
Length = 14 feet
width = 17 feet
Height = 9 foot
So, the area of Four walls
= 2(14 x 9) + 2( 17 x 9)
= 2 x 126 + 2 x 153
= 252 + 306
= 558
Now, Area of ceiling
= lw
= 14 x 17
= 238
So, the total Area = 558 + 238 = 796
Now, the cost of painting room
= 796/350 x 28
= 63.68
and, After sales tax
= 63.68 + 0.085 x 63.68
= $69.02928
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solve for X. Round your answer to 3 decimal places.
3log6 X=2. I have no idea where to begin. Please help me!
The value of x from the logarithmic equation is x = 3.302
What is Logarithm?The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm
The properties of Logarithm are :
log A + log B = log AB
log A − log B = log A/B
log Aⁿ = n log A
Given data ,
Let the logarithmic equation be represented as A
Now , the value of A is
[tex]3log_{6} ( x ) = 2[/tex] be equation (1)
On simplifying , we get
Divide by 3 on both sides , we get
[tex]log_{6} ( x ) = \frac{2}{3}[/tex]
Now , from the laws of logarithm , log Aⁿ = n log A
On further simplification , we get
[tex]log_{6} ( x ) = \frac{2}{3}[/tex]
[tex]x=6^{\frac{2}{3} }[/tex]
x = 3.302
Therefore , the value of x is 3.302
Hence , the logarithmic equation is solved
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The solution to the equation
log2x + log2(x – 6) = 4 is x =
still If we plug in x = -2 into the original equation.
What is the logarithm?A logarithm is a mathematical function that helps to determine how many times a particular number must be multiplied by itself to obtain a specific value. In other words, the logarithm of a number is the exponent to which another fixed value, called the base, must be raised to produce that number.
Given by the question.
Using logarithm rules, we can simplify the left-hand side of the equation:
log2x + log2(x – 6) = log2(x (x – 6))
So, the equation becomes:
log2(x (x – 6)) = 4
Using the description of logarithms, we can rewrite this as:
[tex]2^{4}[/tex] = x (x – 6)
Simplifying the left-hand side, we get:
16 = [tex]x^{2}[/tex] – 6x
Moving all the terms to one side, we get a quadratic equation:
[tex]x^{2}[/tex] – 6x – 16 = 0
We can break this using the quadratic formula:
x = [6 ± sqrt ([tex]6^{2}[/tex]+ 4(1)(16))] / 2
x = [6 ± sqrt (100)] / 2
x = [6 ± 10] / 2
x = 8 or x = -2
still, we need results are valid, because we cannot take the logarithm of a negative number or of zero.
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You can compare two marginal distributions to see if the corresponding two variables are related.T or F
You cannot compare two marginal distributions to see if the corresponding two are related . So, the statement is false .
The answer to the stated question is false . No , you cannot compare two marginal distributions to see if the corresponding two variables are related.
The given question is related to probability and statistics.
Coming to probability distribution , it is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events.
The marginal distribution of a subset of a collection of random variables is the probability distribution of the variables contained in the subset. It gives the probabilities of various values of the variables in the subset without reference to the values of the other variables.
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