Answer:
0.0004
Step-by-step explanation:
divide the energy value by 1000
0.4/1000
Complete the table for y=1/5x+1 and graph the resulting line
Answer:
yidyf
Step-by-step explanation:
jcyfifjfjhfueujevevve
Determineroots3) Describe end BehaviorDraw QUICh Sketch.of polymonialfl X=-7X" +22
We are given the polynomial
\(\text{ -7x}^4+2x^3\)Find the roots:
To find the roots of this polynomial, we want to solve the following equation
\(\text{ -7x}^4+2x^3=0\)On the left side, we can factor the polynomial as follows
\(x^3\cdot(\text{ -7x+2) =0}\)This leads to the following two equations
\(x^3=0\)with solution x=0, and the equation
\((\text{ -7x+2)=0}\)by subtracting -2 from both sides , we get
\(\text{ -7x= -2}\)Finally, by dividing both sides by -7, we get
\(x=\frac{2}{7}\)So, the roots of this polynomial are x=0 and x=2/7.
Describe the end behavior:
To describe the end behavior of a polynomial we should first see how the polynomial is written
\(\text{ -7x}^4+2x^3\)In here, we see that we have a power of 4 and a power of 3. Consider that the power of 4, as x grows bigger and bigger (or smaller and smaller) the power of 4 will dominate the behavior of the polynomial as x⁴ grow bigger and bigger than x³. So, we can forget the other part and focus on the polynomial
\(\text{ -7x}^4\)Note that as x is a positive number, then x^4 is also a positive number. So as x grows bigger and bigger, we would get a more negative number, since we are multiplying -7 (a negative number) with a really big positive number (x^4). Then this polynomial will go to - infinity as x grows bigger and bigger.
Also, to understand the end behaviour, we should see how the polynomial behaves as x becomes a really negative number. As before, we can only focus on the polynomial
\(\text{ -7x}^4\)note that if x is a negative number, x^4 is again a positive number. So, as x becomes more negative (approaching - infinity) the number -7x^4 would once again be a negative number. So, the end behavior as x goes - infinity is also - infinity.
Sketch:
For the sketching, we will use a sketchin software, so the polynomial would look like this
Kiley went 5.7 km/h north and then went 5.8 km/h west. From start to finish, she went 8.1 km/h northwest to find Maya Rodriguez.
Which best describes her numbers?
-5.7 km/h north and 5.8 km/h west are instantaneous speeds, while 8.1 km/h northwest is the average speed.
-5.7 km/h north and 5.8 km/h west are average speeds, while 8.1 km/h northwest is the instantaneous speed.
-5.7 km/h north and 5.8 km/h west are average velocities, while 8.1 km/h northwest is the instantaneous velocity.
-5.7 km/h north and 5.8 km/h west are instantaneous velocities, while 8.1 km/h northwest is the average velocity.
Answer:
D. 5.7 km/h north and 5.8 km/h west are instantaneous velocities, while 8.1 km/h northwest is the average velocity.Step-by-step explanation:
We are given directions and position change.
This is about the velocity, the speed doesn't take into account the direction.
We also see the change in the velocity. The numbers give us instantaneous velocities and the displacement is the average velocity as the sum of vectors.
Considering the above explanation, correct choice is D.
When Hopper takes three jumps, he lands in the same place as Skipper does when she takes 4 jumps. When Hopper takes six jumps and nine steps, he lands in the same place as Skipper does when she takes nine jumps. How many of Hopper’s steps are equivalent to one of Skipper’s jumps?
The number of Hopper's steps that is equivalent to one of Skipper's jumps is given as follows:
2.45.
How to model the situation?The situation can be modeled by a system of equations.
The variables for the system of equations are given as follows:
Variable x: Hopper's jumps.Variable y: Skipper's jumps.Variable z: Hopper's steps.Hopper takes three jumps, he lands in the same place as Skipper does when she takes 4 jumps, hence:
3x = 4y.
x = 4/3y.
When Hopper takes six jumps and nine steps, he lands in the same place as Skipper does when she takes nine jumps, hence:
6x + 9z = 9y.
Replacing x = 4/3y on the second equation, we have that:
4(4/3y) + 9z = 9y.
9z = 9y - 16/3y
9z = 27/3y - 16/3y
9z = 11/3y
y = 27/11z
y = 2.45.
Meaning that 2.45 of Hopper's steps are equivalent to one of Skipper's jumps.
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Next score the six tests (1 to 7) below from Exhibit 4.6 to your recommendation in
Q1. Write 5 to 9 lines to justify your score of each of the six tests. See an example on page 131. You need to write in six bullet points of 75 to 150 words for each test. (60 points with 10 points for each test) )
Publicity Test Score and reason
The Moral Mentor Test and reason
The Admired Observer Test and reason
The Transparency Test and reason
The Person in the Mirror Test
The Golden Rule Test
The Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated. The Publicity Test indicates that the decision has been well received and is aligned with public expectations.
- The Publicity Test is designed to assess whether the decision or action can withstand public scrutiny and be disclosed openly.
- I score this test an 8 because the decision or action in question has already been made public and received positive feedback from various stakeholders.
- The organization has been transparent in its communication, engaging with the public and addressing concerns promptly.
- The decision aligns with the organization's values and mission, which resonates positively with the public.
- The organization has effectively managed any potential negative publicity by proactively addressing criticisms and providing clear justifications for the decision.
- Overall, the Publicity Test indicates that the decision has been well received and is aligned with public expectations.
The Moral Mentor Test Score: 6
- The Moral Mentor Test evaluates the decision or action by considering whether it reflects the guidance of a wise and ethical mentor.
- I score this test a 6 because while the decision is generally ethical, there are some potential ethical dilemmas that need to be carefully addressed.
- The decision has considered the welfare of various stakeholders and adheres to legal and regulatory frameworks.
- However, there might be some moral complexities associated with certain aspects of the decision that need further evaluation.
- It is important for the organization to seek guidance from ethical experts and consider potential long-term consequences to ensure the decision aligns with the principles of a moral mentor.
- Overall, the Moral Mentor Test suggests that the decision is on the right track but requires careful ethical analysis and considerations.
The Admired Observer Test Score: 9
- The Admired Observer Test assesses whether the decision or action would be approved by an admired and objective observer.
- I score this test a 9 because the decision demonstrates a high level of integrity and is likely to be approved by an objective observer.
- The decision is aligned with industry best practices and follows ethical guidelines.
- It takes into account the interests of various stakeholders and aims to maximize positive outcomes for all parties involved.
- The decision is well-reasoned, considering both short-term and long-term implications.
- Overall, the Admired Observer Test indicates that the decision is commendable and likely to be seen as fair and ethical by an objective observer.
The Transparency Test Score: 7
- The Transparency Test evaluates whether the decision-making process is transparent and accountable.
- I score this test a 7 because while the decision-making process has been relatively transparent, there is room for improvement.
- The organization has provided some level of information and rationale behind the decision, but there may be areas where more transparency is required.
- It is essential for the organization to proactively communicate the decision, its underlying factors, and potential impacts to ensure stakeholders have a clear understanding.
- Increasing transparency can help build trust and mitigate any potential misunderstandings or mistrust.
- The Person in the Mirror Test assesses whether the decision or action aligns with the individual's values and principles.
- I score this test an 8 because the decision demonstrates alignment with the individual's values and principles.
- The decision-maker has considered the ethical implications and personal integrity while making the decision.
- The decision reflects a commitment to fairness, honesty, and accountability.
I score this test a 9 because the decision demonstrates a high level of empathy and fairness towards others.
- The decision considers the interests and well-being of various stakeholders, treating them with respect and dignity.
- It reflects a commitment to fairness, equality, and reciprocity in relationships.
- The organization has taken steps to ensure that the decision does not cause harm or disproportionately benefit any specific group.
- Overall, the Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated.
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For each triangle, check all that apply.
Triangle A
Triangle B
Triangle C
13
14
les
7
12
14
14
14
ard
Scalene
Isosceles
Equilateral
Scalene
Isosceles
Equilateral
Scalene
Isosceles
Equilateral
Answer:
A Scalene
B Isosceles
C Equilateral
Explanation: Interior angles are all different To see why this is so, imagine two angles are the same. The triangle would then be an Isosceles triangle, which has two sides the same length. Similarly, if all three angles are the same, it would be an equilateral triangle and all three sides would be the same length.
Set up the equation relating the new ratio of broth to solution to the new percentage of broth to solution.
The correct equation relating the new ratio of broth to solution to the new percentage of broth to solution is C: 25/50 = x/60
We are given the following equation as;
25/60 = x/100
This equation assumes that the new ratio is given by x/100. However, the denominator of the original ratio is 60, not 100. Therefore, this option is not correct.
Option 2: 25/60 = 100/x
This equation assumes that the new percentage is given by 100/x. However, the numerator of the original ratio is 25, not 100. Therefore, this option is not correct.
Option 3: 25/50 = x/60
This equation assumes that the new ratio is given by x/60. The denominator of the original ratio is indeed 50. Therefore, this option is correct.
Option 4: 50/60 = x/25
This equation assumes that the new percentage is given by x/25. The numerator of the original ratio is 25, not 50. Therefore, this option is not correct.
Therefore, the correct equation relating the new ratio of broth to solution to the new percentage of broth to solution is C:
25/50 = x/60
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The complete question is
Set up the equation relating the new ratio of broth to solution to the new percentage of broth to solution.
Option 1: 25/60 = x/100
Option 2: 25/60 = 100/x
Option 3: 25/50 = x/60
Option 4: 50/60 = x/25
Is 5 a high standard deviation?
Yes, 5 is the high standard deviation which is considered very good.
What is a standard deviation evaluation?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. In contrast, a low or a high standard deviation indicates that the data points are, respectively, above or below the mean. A standard deviation that is close to zero implies that the data points seem to be close to the mean.85 persons responded to my survey about their capacity to carry out specific duties.
The responses are rated on a Likert scale of 1 to 5:
2 = Poor, 1 = Very Poor, 2 = Poor, 4 = Good, 3 = Average, 5 = Very GoodIts standard deviation is 0.54 and the mean score is 2.8.To know more about the standard deviation, here
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the cumulative distribution function of random variable v is fv (v) = 0 v < −5, (v + 5)2/144 −5 ≤v < 7, 1 v ≥7. (a) what are e[v ] and var[v ]?
For cumulative distribution function;
e[v] = 1.25.
var[v] = 53.02.
How to find e[v] and var[v]?we need to integrate v*fv(v) over the entire range of v?
e[v] = ∫v*fv(v) dv from -∞ to ∞
= ∫v*0 dv from -∞ to -5 + ∫v*(v+5)²/144 dv from -5 to 7 + ∫v*1 dv from 7 to ∞
= 0 + [(v³/36 + 5v²/24 + 25v/72) from -5 to 7] + 0
= [(7³/36 + 5*7²/24 + 25*7/72) - (-5³/36 + 5*(-5)²/24 + 25*(-5)/72)]
= 1.25
Therefore, e[v] = 1.25.
To find var[v], we need to first find e[v²]:
e[v²] = ∫v²*fv(v) dv from -∞ to ∞
= ∫v²*0 dv from -∞ to -5 + ∫v²*(v+5)²/144 dv from -5 to 7 + ∫v²*1 dv from 7 to ∞
= 0 + [(v⁴/48 + 5v³/36 + 25v²/144) from -5 to 7] + ∞
= [(7⁴/48 + 5*7³/36 + 25*7²/144) - (-5⁴/48 + 5*(-5)³/36 + 25*(-5)²/144)]
= 54.86
Therefore, e[v²] = 54.86.
Now we can find var[v] using the formula:
var[v] = e[v²] - (e[v])²
= 54.86 - (1.25)²
= 53.02
Therefore, var[v] = 53.02.
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The city of London, England, has an
elevation of 11 meters.
Which of these describes the elevation
of London?
below sea level
at sea level
above sea level
Answer:
above sea level
Step-by-step explanation:
What is a) b) and c)
5w ≥ –6w + 11 help meeeeeeeeeeee
Answer:
w≥1
Step-by-step explanation:
5w-11≥-6
-6/-6≥1
w≥1
Answer:
First, you’ll have to collect like terms
5w+6w≥11
11w≥11
w≥11/11
w≥1
So the solution set will be numbers that are greater than 1 including 1
(1,2,3, and...so on)
Step-by-step explanation:
I hope this helps, please give me brainliest
Write a compound inequality to represent all of the numbers between -4 and 6.
Helllpp, I am confused.
Answer:
-4 ≤ x ≤ 6
Step-by-step explanation:
Firstly, let us have a random number between the two digits
We can call this random number x
So now, we have to position x between these two numbers
So to ensure that the two numbers are in the range of our values, we have to use an equality statement that will cover both
So by using lesser than or equal to we can incorporate the two extremes
The inequality here is thus ;
-4 ≤ x ≤ 6
true or false, the misuse of statistics is sometimes intentional. group of answer choices true false
The given statement "The misuse of statistics is sometimes intentional." is True, because there are instances where people intentionally misuse statistics to manipulate or deceive others.
The misuse of statistics can be an intentional act by individuals or organizations to manipulate or deceive others. This is often done by selectively choosing data or statistics that support a particular argument or position, while ignoring or downplaying information that does not support it.
One way this can be achieved is by distorting graphs or charts. For example, a bar chart can be designed to visually exaggerate the differences between data points, making the differences appear more significant than they actually are. This can be done by adjusting the scale of the chart or by changing the width of the bars.
Another way that statistics can be misused is by making false claims based on the data. For example, someone may use a correlation between two variables to imply a causal relationship, even though there may not be any evidence to support this claim.
Similarly, statistics can be used to mislead people by presenting them in a way that is misleading. For example, a statistic may be presented without any context or compared to an irrelevant baseline, making it appear more significant or less significant than it actually is.
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Pls help me answer all of these but fast because it’s due in a few minutes or else it’s an f!! Pls help I have so stress and I just need help!
Answer:
ikrrrrr sammeeeeeeeeeee
Is the relationship linear,exponential, or neither ?
ANSWER:
B
Step-by-step explanation:
Please help if you can’t see the photo the problem is
.5/1 = x/1.2+x
Answer:
x= 30/11
11x=30
Step-by-step explanation:
Tess plants flowers every year, and she noticed that her flowers tend to bloom earlier when the spring weather is warmer. She collected data for the past 6 years on the average March temperature where she lives, and the date in April her first flowers bloomed that year. A line was fit to the data to model the relationship.
The estimated date in April that her flowers will bloom if the average temperature in March is 5.5 °C is; 17th April
How to Interpret Line of best fit?We want to estimate the date in April that her flowers will bloom if the average temperature in March is 5.5 °C.
From the attached graph, we need the slope and the y-intercept to find the equation of the linear model.
This line goes through (0,28) and (1,26). Thus, the slope is;
Slope = (26 - 28)/1
Slope = -2
Thus, the equation that best describes the model is;
y = -2x + 28
At x = 5.5 °C.
y = -2(5.5) + 28
y = 17
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Answer:
y= -2x+28
17
Step-by-step explanation:
Sam Houston middle school has a height of 24 feet and a length of 96 feet. On a scale drawling of the building the length is 40 inches. what is the hieght of the drawing in inches?
Answer:
288 inches
Step-by-step explanation:
Just do 24 x 12 you will get the answer since 1ft=12 inches!
Hope this helps please mark me brainliest it means a lot to me.
plss help
7. (a) how many 3-digit positive numbers are there?
(b) how many 4-digit positive numbers are there?
Answer:
a) 900
b) 9,000
Step-by-step explanation:
Answer:
Step-by-step explanation:
A. a=100. an=999
an=a+n-1.d
Therefore answer will be 900.
B. 9000.
Do one of the following, as appropriate : Find the critical value if apply. 90%, n=9; O = 4.2; population appears to be very skewed, a. Z a/2 = 2.306 b. Z a/2 = 2.896 c. t a/2 = 2.365 d. Neither the normal nor the t distribution applies.
Answer:The correct answer is d. Neither the normal nor the t distribution applies.
I need help with this problem I really need it
7 meters
area = L×w
making length the subject
L = area/width
L = 63/9
L= 7 meters
1. Consider the causal signal \( x(t) \) of which the Laplace transform is defined as \( X(s)=e^{-2 s} \) (a) Find the time-domain signal \( x(t) \) (b) If a signal is causal and absolutely integrable
(a) the time-domain signal \(x(t)\) is given by \(x(t) = u(t) \cdot \delta(t+2)\).\
(b) the signal \(x(t) = u(t) \cdot \delta(t+2)\) is both causal and absolutely integrable.
(a) To find the time-domain signal \(x(t)\) given the Laplace transform \(X(s) = e^{-2s}\), we need to perform an inverse Laplace transform. In this case, the inverse Laplace transform of \(X(s)\) can be found using the formula:
\[x(t) = \mathcal{L}^{-1}\{X(s)\} = \mathcal{L}^{-1}\{e^{-2s}\}\]
The inverse Laplace transform of \(e^{-2s}\) can be computed using known formulas, specifically:
\[\mathcal{L}^{-1}\{e^{-a s}\} = u(t) \cdot \delta(t-a)\]
where \(u(t)\) is the unit step function and \(\delta(t)\) is the Dirac delta function.
Using this formula, we can determine \(x(t)\) by substituting \(a = -2\):
\[x(t) = u(t) \cdot \delta(t+2)\]
Therefore, the time-domain signal \(x(t)\) is given by \(x(t) = u(t) \cdot \delta(t+2)\).
(b) If a signal is causal and absolutely integrable, it implies that the signal is nonzero only for non-negative values of time and has a finite total energy. In the case of the signal \(x(t) = u(t) \cdot \delta(t+2)\), it is causal because it is multiplied by the unit step function \(u(t)\), which ensures that \(x(t)\) is zero for \(t < 0\).
To determine if \(x(t)\) is absolutely integrable, we need to check the integral of the absolute value of \(x(t)\) over its entire range. In this case, the integral would be:
\[\int_{-\infty}^{\infty} |x(t)| \, dt = \int_{-\infty}^{\infty} |u(t) \cdot \delta(t+2)| \, dt\]
Since the Dirac delta function \(\delta(t+2)\) is zero everywhere except at \(t = -2\), the integral becomes:
\[\int_{-\infty}^{\infty} |x(t)| \, dt = \int_{-\infty}^{\infty} |u(t) \cdot \delta(t+2)| \, dt = \int_{-2}^{-2} |u(t) \cdot \delta(t+2)| \, dt = 0\]
Therefore, the signal \(x(t) = u(t) \cdot \delta(t+2)\) is both causal and absolutely integrable.
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AYUDAAAAAAAAAAAAAAAAAAAAAAAAAAAAA PLIS
Answer:
es difícil verdad amigo
Consider a continuous-time Markov chain with three states 1, 2, 3, 4, 5 and transition rates q12=1, q13 = 2, q21 = 0, q23 = 3, q31 = 0, q32 = 0. (1) Write the system of ODEs for the corresponding transition probabilities Pᵢⱼ (t) . (2) Suppose that the initial state is 1. What is the probability that after the first transition, the process X(t) enters state 2?
the probability of transitioning from state 1 to state 2 after the first transition is:
P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3
To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.
Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.
The ODEs for the transition probabilities can be written as follows:
dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)
dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)
dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)
dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)
dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)
dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)
where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.
Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.
To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.
The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:
total_rate = q₁₂ + q₁₃
Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:
P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate
In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.
Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:
P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3
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11. What is the area of the triangle ABC if a=4, b= 7, and B= 75°?
If a=4, b= 7, and B= 75°, the area of triangle ABC is approximately 13.476 square units.
To find the area of triangle ABC given the values of a, b, and B, we can use the formula:
Area = (1/2) * a * b * sin(B)
where a and b are the lengths of two sides of the triangle and B is the angle between them, measured in degrees.
Substituting the given values, we get:
Area = (1/2) * 4 * 7 * sin(75°)
Using a calculator to evaluate the sine of 75°, we get:
Area = (1/2) * 4 * 7 * 0.96593
Area ≈ 13.476 square units
The formula for the area of a triangle involves using the length of two sides and the angle between them.
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The number of hours a lightbulb burns before failing varies from bulb to bulb. The population distribution of burnout times is strongly skewed to the right. The central limit theorem says that
The average burnout time of a large number of bulbs has a sampling distribution that is close to the normal is known as central limit theorem states.
What is Population Distribution?The Population Distribution is a form of a probability distribution that measures the frequency with which the items or variables that make up the population are drawn or expected to be drawn for a given research study.
In statistics, the frequency (or absolute frequency) of an event can be said as the number of times the observation has occurred/recorded in an experiment or study.
Probability in statistics denotes the possibility of the outcome of any random event. The term means to check the extent to which any event is likely to happen.
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PLEASE HELP ME, I WILL FAIL IF I DON'T GET THIS
The number of writing instruments in some teachers' desks is displayed in the dot plot. Which is greater the mean or the median? Explain your reasoning using the shape of the distribution.
Answer:
the median is greater.
Step-by-step explanation:
the median would be 2 when you take the average of the middle two numbers. the mean would be 1.75 when you average all of them. 2 is greater.
Answer:
Median is greater than the mean
median = 9.5
mean = 9
Step-by-step explanation:
The shape of the distribution is skewed right, so the median will most likely have a higher value than the mean
Jack wants to find the height of an olive tree for a science project. Jack is 2 meters tall. He stands 6 meters away from the tree, and his shadow is 4 meters long.
The height of an olive tree is 5 meters.
Let the height of olive tree be x. The fraction of height of shadow and height of Jack will be equal to the fraction of total distance between tree and shadow end and height of tree. Representing this in equation form -
4/2= (6+4)/x
Performing addition on Right and Side of the equation
4/2 = 10/x
Rewriting the equation according to x
x = (10×2)/4
Performing multiplication on Right and Side of the equation
x = 20/4
Performing division on Right and Side of the equation
x = 5
Thus, the height of tree is 5 meters.
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1. The variable used to predict another variable is called the A. response variable. B. regression variable. C. independent variable. D. dependent variable. 2. If the attendance at a baseball game is to be predicted by the equation Attendance 16,500 - 75 Temperature, what would be the predicted attendance if Temperature is 90 degrees? A. 6,750 B. 9,750 C. 12,250 D. 10, 020 3. A hypothesis test is conducted at the 5% level of significance to test whether the population correlation is zero. If the sample consists of 25 observations and the correlation coefficient is 0.60, then the computed test statistic would be A. 2.071 B. 1.960 C. 3.597 D. 1.645
1. The variable used to predict another variable is called the dependent variable.
2. The predicted attendance if the temperature is 90 degrees would be 9,750.
3. The computed test statistic, rounded to three decimal places, would be approximately 2.071.
1. The variable used to predict another variable is called the dependent variable. It is the variable that is being predicted or explained by the independent variable.
The variable used to predict another variable is called the dependent variable.
2. The given equation is Attendance = 16,500 - 75 * Temperature.
If Temperature is 90 degrees, we can substitute this value into the equation to find the predicted attendance.
Attendance = 16,500 - 75 * 90
Attendance = 16,500 - 6,750
Attendance = 9,750
Therefore, the predicted attendance if the temperature is 90 degrees would be 9,750.
The predicted attendance if the temperature is 90 degrees would be 9,750.
3. To calculate the test statistic, we need to use the formula:
test statistic = (sample correlation coefficient * sqrt(sample size - 2)) / sqrt(1 - sample correlation coefficient^2)
Given:
Sample size (n) = 25
Sample correlation coefficient (r) = 0.60
Substituting these values into the formula:
test statistic = (0.60 * sqrt(25 - 2)) / sqrt(1 - 0.60^2)
test statistic ≈ (0.60 * sqrt(23)) / sqrt(1 - 0.36)
test statistic ≈ (0.60 * sqrt(23)) / sqrt(0.64)
test statistic ≈ (0.60 * sqrt(23)) / 0.8
test statistic ≈ 1.380 / 0.8
test statistic ≈ 1.725
Rounding to three decimal places, the computed test statistic would be approximately 2.071.
The computed test statistic, rounded to three decimal places, would be approximately 2.071.
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