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Related Questions
When can a correlation coefficient based on an observational study be used to support a claim of cause and effect?
A. When the correlation coefficient is close to −1 or +1.
B. When the scatterplot of the data has little vertical variation.
C. When the correlation coefficient is equal to −1 or +1.
D. Never
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A correlation coefficient based on the observational study cannot be used to support a claim of cause and effect. The correct answer is D: never.
Correlation does not imply causation, and while a strong correlation between two variables may suggest that there is a relationship between them, it does not prove that one variable causes the other. Observational studies are particularly susceptible to confounding variables, which can make it difficult or impossible to determine whether a relationship between two variables is causal or not.
To establish causality between two variables, a randomized controlled experiment is required. In a randomized controlled experiment, the experimenter can manipulate the independent variable and observe the effect on the dependent variable, while controlling for other variables that might affect the outcome. By randomly assigning subjects to different treatment groups, the experimenter can ensure that any differences in the outcome between groups are due to the treatment, rather than some other factor.
Therefore, while a correlation coefficient can be a useful tool for describing the relationship between two variables, it cannot be used to establish causality.
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A cube is painted so that one face is blue, two faces are red, and three faces are green. How many different such cubes can be painted
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There is only one way to paint such a cube, as each face must be a different color. So, the answer is one.
The Importance of Color Variety in Art: A Look at the Possibility of Painting a CubeWhen it comes to creating art, there is no denying the importance of color. It is one of the most powerful tools an artist has at their disposal, as it can be used to convey a wide range of emotions, ideas, and messages. Even a simple object such as a cube can be transformed into a work of art with the right colors. This essay will explore the potential of painting a cube with a variety of colors, and why it's important to use a variety of colors in artwork.
When it comes to painting a cube, one must choose colors that will create a harmonious yet interesting look. The colors should be chosen carefully because they will be the focus of the piece. A cube painted with only one color would be too dull and boring, while a cube painted with an array of colors will make it more visually appealing. To create a successful painting of a cube, one should use colors that contrast and complement each other. For example, a cube can be painted so that one face is blue, two faces are red, and three faces are green.
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Fifteen less than four times a number
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If P(B)=0.3,P(A∣B)=0.5,P(B ′ )=0.7, and P(A∣B ′ )=0.8, find P(B∣A).
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If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113
To find the value of P(B|A), follow these steps:
The probability of B given A can be given by the product of the probability of A given B and the probability of B, divided by the total probability of B. So, the formula for P(B|A) = P(A|B) * P(B) / [P(A|B)*P(B)+P(A|B')*P(B')]. Substituting the values, we get P(B|A) = (0.5) (0.3) / [(0.5) (0.3) + (0.8) (0.7)] ⇒P(B|A) = 0.15 / [0.15 + 0.56] ⇒P(B|A) = 0.15 / 0.71 ⇒P(B|A) = 0.2113. Therefore, P(B|A) = 0.2113.Learn more about probability:
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Complete the statements to verify that f(x) = 10x and g(x) = log10x are inverses of each other.
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The concept of inverse functions and their properties. We can discuss how the composition of two inverse functions results in the identity function, emphasizing the importance of satisfying both f(g(x)) = x and g(f(x)) = x conditions.
To verify that f(x) = 10x and g(x) = log10x are inverses of each other, we need to show that applying one function followed by the other will result in the original input.
Statement 1: f(g(x)) = x
By substituting g(x) into f(x), we have:
f(g(x)) = f(log10x) = 10(log10x) = x.
Statement 2: g(f(x)) = x
By substituting f(x) into g(x), we have:
g(f(x)) = g(10x) = log10(10x) = x.
Since both statements 1 and 2 hold true, we can conclude that f(x) = 10x and g(x) = log10x are inverses of each other. When we apply one function followed by the other, we obtain the original input x. This demonstrates the property of inverse functions, where applying the function and its inverse "undo" each other's operations.
In the supporting explanation, we can further elaborate on the concept of inverse functions and their properties. We can discuss how the composition of two inverse functions results in the identity function, emphasizing the importance of satisfying both f(g(x)) = x and g(f(x)) = x conditions. Additionally, we can provide examples and illustrate the graphical representation of these functions to enhance the understanding of their inverse relationship.
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Please help! Correct answer only, please! I need to finish this assignment this week Consider the matrix shown below: A. B. C. D. Which matrix below represents 3 X 3 Identity Matrix (LaTeX: I_{3} I 3 ). A. B. C. D.
Answers
Answer:
Option D is correct
Step-by-step explanation:
The identity matrix is the matrix, in which, the diagonal elements are 1 and all of non-diagonal elements are 0.
Hope this helps!
Tim takes a sheet of paper and makes a diagonal cut from one corner to the opposite corner, making two triangles. The cut he makes is 10 inches long and the width of the paper is 9 inches. What is the paper's length?
Answers
In a diagram, this is the information we have
Notice that, after cutting the sheet of paper, we get 2 right triangles.
We can use the Pythagorean theorem to find the length of the paper as follows:
\(\begin{gathered} (10in)^2=(9in)^2+(length)^2 \\ \Rightarrow\text{length}=\sqrt[]{(10in)^2-(9in)^2}^{} \\ \Rightarrow\text{length}=\sqrt[]{19in^2} \\ \Rightarrow\text{length}=\sqrt[]{19}in \end{gathered}\)The answer is sqrt(19) in, which is, approximately, 4.36 in
Find the length of each bolded arc. Round your answer to the nearest hundredth
Answers
Answer:
(35°/360°)π(2 × 7.5 inches) = 4.58 inches
cindy owes the candy store $35. Each of 5 friends will help her pay off her debt. She paid 8 dollars on her debt. What integer represents how much cindy still owes the candy store?
Answers
Answer:
27
Step-by-step explanation:
35 - 8 = 27
how does deviance clarify moral boundaries and affirm norms?
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Deviance is a concept that refers to behaviors or actions that are outside of the norms and expectations of a particular society or group. In many ways, deviance clarifies moral boundaries and affirms norms because it helps define what is considered acceptable and unacceptable behavior within a particular community.
When individuals engage in deviant behavior, it draws attention to the fact that there are established norms and expectations for behavior within a society. For example, if someone steals from a store, it is considered deviant behavior because it goes against the norm of honesty and fair dealing. This deviant behavior highlights the fact that there is a norm of honesty and fair dealing in society, and helps to reinforce it. Similarly, when deviant behavior is punished, it sends a message to others in the community that the behavior is unacceptable and reinforces the norm against it. For example, if a person is punished for stealing from a store, it sends a message to others that this behavior is not tolerated and reinforces the norm of honesty and fair dealing.
In conclusion, deviance clarifies moral boundaries and affirms norms because it highlights and reinforces established expectations for behavior within a society. When individuals engage in deviant behavior, it brings attention to these norms and reinforces their importance.
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write the equation of the line in either form (slope intercept or point slope form) that contains points (4,-5) (8,1)
Answers
Answer:
y = \(\frac{3}{2}\) x - 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (4, - 5 ) and (x₂, y₂ ) = (8, 1 )
m = \(\frac{1-(-5)}{8-4}\) = \(\frac{1+5}{4}\) = \(\frac{6}{4}\) = \(\frac{3}{2}\) , then
y = \(\frac{3}{2}\) x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 1 ) , then
1 = 12 + c ⇒ c = 1 - 12 = - 11
y = \(\frac{3}{2}\) x - 11 ← equation of line in slope- intercept form
((x+2)^2-9)/(5-3x) >=0
Answers
Answer:
((x+5)(x-1)) / 5-3x
Step-by-step explanation:
((x+2)² - 9) / 5-3x
(x² + 4x + 4 - 9) / 5-3x
(x² + 4x - 5) / 5-3x
(x² - x + 5x - 5) / 5-3x
(x(x-1) + 5(x-1)) / 5-3x
((x+5)(x-1)) / 5-3x
what is the equation of a line that is parallel to y=35x−7 and passes through (15, 8)? enter your answer in the box.
Answers
Answer:
y = 35x - 517.
Step-by-step explanation:
y=35x−7
This line has a slope of 35so we can write a line parallel to it as
y - y1 = 35(x - x1) where (x1, y1) is a point on the line.
We are given this point (15, 8), so:
y - 8 = 35(x - 15)
y = 35x - 525 + 8
y = 35x - 517 is the required equation.
If 1 dollar = 100 cents
Then what is 46,300 cents in dollars?
Answers
Answer: Hi correct answer is $463
Step-by-step explanation:
Thank you please mark me brainlest.:D
Answer:
$463
Step-by-step explanation:
Because there are 100 cents in a dollar, just divide by 100 to get the number of dollars.
Hope this helps :-)
how would you explain the difference between qualitative and quantitative data sources? how would you explain the difference between qualitative and quantitative data sources?
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Qualitative data is used to represents the qualities , intention of human behavior and is basically based on observations and interview using open ended questions where as quantitative data is based on the statistical and mathematical data.
Explanation:
Difference between Quantitative and Qualitative data sources:
Qualitative data sources:
It represents the subjective approachBased on open-ended question.It represents the human behavior.Quantitative data sources:
It represents the objective approach.Based on Statistical and mathematical data.Represents using graphs.Therefore, qualitative data is used to represent the human behavior while quantitative data is for statistical and mathematical data.
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Describe the similarities and differences in solving the equations 4x + 1 = 3 and 4sin theta + 1 = 3
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The differences in the equations are: In 4x + 1 = 3, we solve for while we solve for θ in 4sin θ + 1 = 3
Describing the similarities and differences in solving the equationsFrom the question, we have the following parameters that can be used in our computation:
4x + 1 = 3 and 4sin θ + 1 = 3
The similarities in the equations are
4x = 4sinθ
1 = 1
3 = 3
However, the differences in the equations are
In 4x + 1 = 3, we solve for x
While we solve for θ in 4sin θ + 1 = 3
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The Perimeter of a Pallelogram is 140 cm
If one of the sides is longer than the other
by 10cm
find the length of each its side
Answers
Answer:
30 cm, 40 cm, 30 cm, 40 cm
Step-by-step explanation:
Let the sides of the parallelogram be x and (x + 10) cm
Perimeter of parallelogram = 140 cm
\(2 \{x + (x + 10) \} = 140 \\ \\ \{x + x + 10 \} = \frac{140}{2} \\ \\ 2x + 10 = 70 \\ \\ 2x = 70 - 10 \\ \\ 2x = 60 \\ \\ x = \frac{60}{2} \\ \\ x = 30 \: cm \\ x + 10 = 40 \: cm \\ \)
Thus, length of each side of the parallelogram are 30 cm, 40 cm, 30 cm, 40 cm.
Marquis used the steps below to find the solution to the inequality Negative 5.6 greater-than-or-equal-to x + 3.6.
Step 1 Subtract 3.6 from both sides of the inequality.
Negative 5.6 greater-than-or-equal-to x + 3.6. Negative 5.6 minus 3.6 greater-than-or-equal-to x + 3.6 minus 3.6. Negative 9.2 greater-than-or-equal-to x.
Step 2 Interpret the results.
x greater-than-or-equal-to negative 9.2
x is greater than or equal to –9.2.
Step 3 Draw a number line.
A number line going from negative 9.5 to negative 8.8. A closed circle is at negative 9.2. Everything to the left of the circle is shaded.
Which describes the first step in which Marquis made an error?
In Step 1, Marquis should have added 3.6 to each side of the inequality.
In Step 2, Marquis should have interpreted the results as x less-than-or-equal-to negative 9.2, which means that x is less than or equal to –9.2 .
Marquis should have used an open circle at –9.2 in Step 3.
Marquis should have shaded the number line to the right of –9.2 in Step 3.
Answers
Answer:
x greater-than-or-equal-to negative 9.2
Step-by-step explanation:
Step by step in math notation here is what Marquis solved
Starting with -5.6 ≥ x + 3.6
Step 1
Subtract 3.6 from both sides of the inequality.-5.6 - 3.6 ≥ x + 3.6 - 3.6-9.2 ≥ x
Step 2: Interpret the results
-9.2 ≥ x
is
x ≤ -9.6 The correct interpretation is x less -than-or-equal-to negative 9.2
Since the question is asking only for the first step where the error was made, the rest of the actions taken have no relevance
Which of the following is equivalent to 3^4?
12
81
07
64
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_____________________
Answer: is this supposed to be 3 to the power of 4?
Step-by-step explanation:
GIVEN: GH (congruent JH and FH (congruent) HI
PROVE: FG (congruent) IJ
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Hence proved that FG = IJ with CPCT theorem for ΔGHF ≅ ΔJHI by SAS Congruency rule.
What is Congruency of triangles?Triangle congruence: Two triangles are deemed to be congruent if all three of their corresponding sides and angles have the same magnitude. Slides, rotations, flips, and turns can be used to make these triangles appear identical. They would be in alignment if they were moved. Congruence is represented by the letter "≅".
When two figures are similar to one another in terms of their size and shape, this is what mathematicians mean by congruence. It can be demonstrated that two triangles are congruent using four congruence rules in general. Finding all six dimensions is necessary, though.
Given that,
GH ≅ JH
FH ≅ HI
And,
∠GHF = ∠JHI
Therefore,
ΔGHF ≅ ΔJHI (SAS Congruency)
∴ FG = IJ (CPCT theorem)
Hence proved that FG = IJ with CPCT theorem for ΔGHF ≅ ΔJHI by SAS Congruency rule.
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Write the following expression in simplest form.
(3 + 16.4a) − (9 + 5.7a)
Answers
Answer:
10.7a - 6
Step-by-step explanation:
(3 + 16.4a) − (9 + 5.7a)= 3 + 16.4a - 9 - 5.7a
= 10.7a - 6
Triangle XYZ is reflected across the y-axis to create triangle PQR (not shown).
What is the measure, in degrees, of angle R
Answers
Answer:
The measure of ∠R = 60°
Step-by-step explanation:
The given parameters are;
Triangle XYZ is reflected across the y-axis to create triangle PQR
The measure of ∠Y = 30°
Triangle XYZ = A right triangle
The measure of ∠X = 90°
Where we have;
The image of the preimage of vertex X = P
The image of the preimage of vertex Y = Q
The image of the preimage of vertex Z = R
Therefore, given that a reflection is a rigid transformation, we have;
The measure of ∠X = The measure of ∠P
The measure of ∠Y = The measure of ∠Q
The measure of ∠Z = The measure of ∠R
Given that the measure of ∠Y = 30° and the measure of ∠X = 90°
∠X +∠Y + ∠Z = 180° (angle summation of a triangle property
∴ The measure of ∠Z = 180° - (∠X + ∠Y) = 180° - (90° + 30°) = 60°
Therefore;
The measure of ∠Z = 60° = The measure of ∠R
The measure of ∠R = 60°.
use ur notebook and
solve for: 5x-36x+3x
ill give brainliest
Answers
-28x is the answer.
add -36 and 3 then subtract 5 when you get your answer make a negative and keep the x
Martas school has 325 desks for 13 classrooms . If the desks are shared evenly how many desks will each classroom have
Answers
Answer:
25
Step-by-step explanation:
Belinda has a savings account. Every month she deposits $30 in it. The graph shows the relationship between the months and the balance of Belinda's savings account.
Write an inequality to show when Belinda will have more than $120 in her savings account.
Answers
Answer:
Lets say that m is months
Every month she deposits 30 so that is 30m
lets say t is time
t = 30m > 120
After 4 months, she will have exactly $120. In 5, she will have more.
Step-by-step explanation:
Based on the following new information. Given it is raining, what is the what is the probability of Sunshine delight winning ?
Storm Chaser Sunshine delight
Given Raining 0.79 Given not raining 0.64
Based on the following information collected from emails. What is the probability that if the word "llwws" is in a document, it is spam ?
Spam Not spam
Word "aabbdd" 0.71 Word "llwws" 0.5
ROUND TO 2 DECIMAL PLACES
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The probability of Sunshine Delight winning given that it is raining is approximately 0.79. The probability that a document is spam if it contains the word "llwws" is approximately 0.50.
In the case of Sunshine Delight winning, given that it is raining, the probability is directly provided as 0.79.
For the probability of a document being spam if it contains the word "llwws," the information shows that the probability of the word "llwws" appearing in a spam document is 0.50. However, without further information about the overall prevalence of spam and non-spam documents, we cannot directly determine the probability that a document containing "llwws" is spam. Additional context about the overall occurrence of spam and non-spam documents is required to calculate the requested probability.
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what is the margin of error for a 90% confidence interval of the population proportion for those interested in the spin-off series?
Answers
The margin of error for a 90% confidence interval of the population proportion depends on the sample size and the sample proportion.
The level of confidence determines the probability that the true population proportion lies within the calculated confidence interval. In this case, we have a 90% confidence level, which means we are 90% confident that the true population proportion lies within the estimated interval.
The margin of error (ME) for a confidence interval of the population proportion can be calculated using the following formula:
ME = z * √((p * (1 - p)) / n)
Where:
ME is the margin of error
z is the critical value corresponding to the desired confidence level (90% confidence level corresponds to a z-value of approximately 1.645)
p is the sample proportion (the proportion of individuals interested in the spin-off series)
(1 - p) represents the complementary proportion
n is the sample size
However, to calculate the margin of error accurately, we need the sample proportion (p) and the sample size (n). Without these values, it's not possible to provide an exact margin of error.
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1. Explain a situation where you would expect to have a partial variation.
What makes this example a partial variation?
2. Explain a situation where you would expect to have a direct variation.
What makes this example a direct variation?
You can include a diagram/graph in your explanation if you wish.
Answers
Answer:
Here's the answers
Step-by-step explanation:
1. When two variables are in relation with a formula or a variable is related by the sum of two or more variables, then it is a partial variation. X = KY + C (where K and C are constants) is a straight line equation which is an example of partial variation.
2. The formula y=kxn y = k x n is used for direct variation. The value k is a nonzero constant greater than zero and is called the constant of variation.
Tony and Sam are sharing the driving on a 520-mile trip. If Tony drives 90 more miles than Sam, how far did each of them drive?
Answers
Answer:
miles driven by sam =215 miles
Miles driven by Tony = 305 miles.
Step-by-step explanation:
Let the miles driven by sam is x
given that Tony drove 90 miles more than sam
miles driven by Tony = miles driven by sam + 90 = x + 90
Total miles driven by them together
= miles driven by Tony + miles driven by sam = x + 90 + x = 2x + 90
given
Tony and Sam are sharing the driving on a 520-mile trip
2x + 90 = 520
2x = 520 - 90 = 430
x = 430/2 = 215
Thus,
miles driven by sam = x = 215 miles
Miles driven by Tony = x + 90 = 215 + 90 = 305 miles.
Which of the equations represents the line that contains the point (-3,11) and is parallel to a line that has a slope of 8/3? Select all that apply.
A. y=8/3x+3
B. y=8/3x+19
C. 3x+8y=11
D.8x-3y=11
E. y+11=8/3(x-3)
F. y+11=8/3(x+3)
Answers
The correct answer is:y = (8/3)x + 29/3
The equation of the line that passes through the point (-3, 11) and is parallel to the line with a slope of 8/3.To find the slope of the line that we need to draw, we can use the fact that parallel lines have the same slope. So, slope of the line = 8/3.Now, we have the slope and a point on the line, so we can use the point-slope form to find the equation of the line.The point-slope form is:y - y₁ = m(x - x₁)where m is the slope of the line and (x₁, y₁) is the given point.Substituting the values, we get:y - 11 = (8/3)(x - (-3))Simplifying the equation:y - 11 = (8/3)x + 8y - 44/3 = (8/3)x + 15/3y = (8/3)x + 29/3So, the equation of the line is:y = (8/3)x + 29/3The equation that represents the line that contains the point (-3, 11) and is parallel to a line that has a slope of 8/3 is:y = (8/3)x + 29/3.Selecting the options that apply:y=8/3x+19 (Does not apply because the y-intercept is incorrect.)3x+8y=11 (Does not apply because the slope is not 8/3.)8x-3y=11 (Does not apply because the slope is not 8/3.)y+11=8/3(x-3) (Does not apply because the slope is negative.)y+11=8/3(x+3) (Does not apply because the slope is not 8/3.)Hence, the correct answer is:y = (8/3)x + 29/3.
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