Knowing that correlation coefficients have values between -1 and 1 and that the closer the value is to -1 or 1, the stronger the correlation -- which of the following correlation coefficients would represent the strongest correlation? A.-0.97 B.0.87 C.0.02 D.0.5

The parameter of interest in this scenario is the proportion of all 1,000 students within the school who have "strict" parents or guardians.

In Mathematics, the test statistics of a given sample is calculated by using this formula:

\(Z=\frac{x\;-\;u}{\frac{\sigma}{\sqrt{n} } }\)

Where:

In conclusion, a possible test statistic which can be used to estimate this parameter is the proportion of all students who have "strict" parents or guardians, based on the collected sample.

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The coefficient of determination for a linear regression model fitting with bivariate dataset ( scatterpot present in above figure) is equals to the 90.097.

When we study about linear regressions, usually analyze two coefficients that help us to know about the quality of the regression model and strength of linear relationship between the variables. One is called the coefficient of determination, denoted by R². Consequently, by observing a scatter plot, we can estimate the value of these coefficients. We have a scatterpot for a linear model fitting of the bivariate dataset is present in above figure. Coefficient of determination is always positive. When data are very closely arranged along a approximate line, then coefficient of determination is more near to 1 (In percentage it is 100). Here points are almost closely arranged . So percentage should be near to 100. So possible answer is 90.097. Hence, the answer is 90.097.

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Complete question :

The above figure complete the question.

What is the coefficient of determination for a linear model fitting the following bivariate dataset?

The statement "Basketball players' gender does not seem to affect shoe preference for the players in the survey" is incorrect.

Based on the data in the table, we can determine the correct or incorrect statements:

Correct – The male basketball players prefer hightop shoes.

The data shows that out of the male basketball players surveyed, 40 of them prefer hightop shoes, while only 10 prefer lowtop shoes.

Incorrect – The female basketball players prefer hightop shoes.

The data shows that out of the female basketball players surveyed, 60 of them prefer hightop shoes, while 15 prefer lowtop shoes. Therefore, more female players prefer hightop shoes, not lowtop shoes.

Incorrect – Basketball players' gender does not seem to affect shoe preference for the players in the survey.

The data clearly shows a difference in shoe preference based on gender. Among male players, a larger proportion prefers hightop shoes, while among female players, there is also a preference for hightop shoes, although not as pronounced as among males.

In summary:

The male basketball players prefer hightop shoes.

The female basketball players also show a preference for hightop shoes, but it is not as pronounced as among males.

Therefore, the statement "Basketball players' gender does not seem to affect shoe preference for the players in the survey" is incorrect.

Please note that the conclusions are based on the given data in the table and may not necessarily represent the preferences of all basketball players in general.

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Answer:

x²-14x+48

Step-by-step explanation:

Area= Length × Width

Area= x-6 × x-8

Area= (x-6)(x-8)

Area= x²-8x-6x+48

Area= x²-14x+48

Hope this helped you- have a good day bro cya)

The property justified by step 4 is after substitution in the equation you get the desired result.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the data in the question,

In step 3 substitution of value is taking place.

In step 4 when values are substituted the final result is obtained, so step 4 is the result step.

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Answer:

F(3) = 11

F(1) = 1

F(-2) = -14

Step-by-step explanation:

F(x)=5x-4. Find F(3),F(1), and F(-2)​

F(3) = 5*3-4

F(3) = 15-4 or 11

F(1) = 5*1 - 4 or 1

F(-2) = 5*(-2) - 4, or -14

Answer:

-2^5

Step-by-step explanation:

hope it helped. im not sure..

The mass of the pencil is approximately 5.49 ounces.

To find the mass of the pencil, we can integrate the density function over the length of the pencil.

The density function is given by rho(x) = 5/x oz/in.

We want to find the mass of the pencil, so we integrate the density function from x = 2 (the starting point of the pencil) to x = 6 (the endpoint of the pencil).

The integral is ∫[2, 6] (5/x) dx.

Evaluating the integral, we have:

∫[2, 6] (5/x) dx = 5 ln(x) ∣[2, 6] = 5 ln(6) - 5 ln(2) = 5 (ln(6) - ln(2)).

Using the property of logarithms, we can simplify this to:

5 ln(6/2) = 5 ln(3) ≈ 5 (1.098) ≈ 5.49 oz.

The mass of the pencil is approximately 5.49 ounces.

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Answer:

the answer is 3

Step-by-step explanation:

3 plus 99 minus 99

Answer:

3

Step-by-step explanation:

11 x 9=99

9x11=99

99+3=102

102-99=3

\( \frac{7}{10} x - 2 = \frac{2}{5} x + \frac{8}{3} \\ \frac{7}{10} x - \frac{4}{5} x = \frac{8}{3} + 2 \\ \frac{3}{10} x = \frac{14}{3} \\ x = \frac{14}{3} \div \frac{3}{10} \\ x = \frac{14}{3} \times \frac{10}{3} \\ x = \frac{140}{3} \)

\(y = ( \frac{7}{10})( \frac{140}{3} ) - 2 \\ y = \frac{980}{30} - 2 \\ y = \frac{98}{3} - 2 \\ y = \frac{196}{3} - \frac{6}{3} \\ y = \frac{190}{3} \\ y = 63 \frac{1}{3} \)

BE AWARE THERE WAS NO NEED FOR ME TO SOLVE THE EQUATION I JUST WANTED TO SHOW YOU HOW IT'S DONE THE ANSWER NOW TO YOUR QUESTION IS THERE IS 1 PAIR OF ANSWER BUT TWO ANSWERS FOR THE VARIABLES.

The number of zeros which this graphed polynomial function have is: B. 3.

A polynomial function can be defined as a mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using mathematical operations.

Additionally, a polynomial graph simply refers to a type of graph that is commonly used for the representation of only positive (non-negative) integer exponents of a variable in an equation.

This ultimately implies that, a polynomial graph touches the x-axis at zeros, roots, solutions, x-intercepts, and factors with even multiplicities.

In this context, we can reasonably and logically deduce that the zeros of a polynomial function are all of the values (x-intercepts) on the x-coordinate that makes this polynomial function equal to zero and these include the following:

Zeros = (-2, 0)

Zeros = (-1, 0)

Zeros = (1, 0)

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We square the residuals when using the least-squares line method to find the line of best fit because we believe that huge negative residuals (i.e., points well below the line) are just as harmful as large positive residuals (i.e., points that are high above the line).

We treat both positive and negative disparities equally by squaring the residual values.  We cannot discover a single straight line that concurrently minimizes all residuals. The average (squared) residual value is instead minimized.

We might also take the absolute values of the residuals rather than squaring them. Positive disparities are viewed as just as harmful as negative ones under both strategies.

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The equation of the straight line that has x-intercept 1 and y-intercept 4 is:

4x - y = 4

"A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point."

Given, the line has a x-intercept of 1 and y-intercept of 4. T

Therefore, the line passes through the points (1, 0) and (0, 4).

Now, we can find the slope of the line 'm' that passes through those either points.

Therefore, (x₁ - x₂) = m(y₁ - y₂)

⇒ (1 - 0) = m(0 - 4)

⇒ m = \(\frac{1}{4}\)

Now, the equation of the line that has x-intercept 1 and y-intercept 4 is:

(x - x₁) = m(y - y₁)

⇒ (x - 1) =      \(\frac{1}{4}\)(y - 0)

⇒ 4(x - 1) = y

⇒ 4x - y = 4

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The value of pi is known to over 31 trillion decimal places, thanks to the use of powerful computers and sophisticated algorithms.

The history of pi dates back thousands of years, and over time, various civilizations have attempted to calculate its value with varying degrees of accuracy. One of the most inaccurate versions of pi was recorded by the ancient Babylonians around 2000 BC.

The Babylonians calculated the value of pi as 3.125, which is off by more than 6% from the actual value. It is believed that the Babylonians arrived at this value by using a rough approximation of a circle as a hexagon. They measured the perimeter of the hexagon and divided it by the diameter to get their approximation of pi.

This value was later refined by the ancient Egyptians and Greeks, who were able to calculate pi with greater accuracy. The Greek mathematician Archimedes, for instance, was able to calculate pi to within 1% accuracy by using a method of exhaustion.

It wasn't until the development of calculus in the 17th century that mathematicians were able to derive an exact formula for pi. Today, the value of pi is known to over 31 trillion decimal places, thanks to the use of powerful computers and sophisticated algorithms.

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Answer:

The third set of ordered pairs

Step-by-step explanation:

one x is paired with one y

Answer: the answer is t= 9/5

Step-by-step explanation:

{(5, 2), (4, 2), (3, 2), (2, 2), (1, 2)}, {(−8, −3), (−6, −5), (−4, −2), (−2, −7), (−1, −4)} and {(−6, 4), (−3, −1), (0, 5), (1, −1), (2, 3)} are the sets of ordered pairs considered as a function.

{(−4, −2), (−1, −1), (3, 2), (3, 5), (7, 10)} is not a function.

In mathematics, ordered pair is a pair of numbers that are written in a specific order. They are generally written in (x, y) form. For example (3, 5) is an ordered pair.

The function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have the same value of x coordinate.

Option (a) : {(5, 2),(4, 2),(3, 2),(2, 2),(1, 2)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (b) : {(-4, -2),(-1, -1),(3, 2),(3, 5),(7, 10)}

Two ordered pairs have the same value of x coordinate (3, 2) and (3, 5).

So, it can not be considered a function.

Option (c) : {(-8, -3),(-6, -5),(-4, -2),(-2, -7),(-1, -4)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (d) : {(-6, 4),(-3, -1),(0, 5),(1, -1),(2, 3)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Therefore, Options (a), (c), and (d) are the functions.

Option (b) is not a function.

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Answer:

Step-by-step explanation:

16. Use Euclid Perfect Number formula:

If \(2^{n} -1\)a a prime number, then \(2^{n-1}(2^{n} -1)\) is a perfect number. 6 is a perfect number when n=2 Let try when n=3

\(2^{2} (7)=28\)

So 28 is a perfect number

The argument that the sun will rise tomorrow morning and set tomorrow evening is based on inductive reasoning, using past observations of consistent sunrise and sunset patterns to predict future occurrences.

1. The observation: Throughout your entire life, you have consistently noticed that the sun rises every morning and sets every evening. This is an observation based on personal experience.

2. Inductive reasoning: Based on this observation, you make an inference or prediction about the future. You reason that since the sun has always risen in the morning and set in the evening in the past, it is likely to continue doing so in the future.

3. Pattern and consistency: The assumption is that natural phenomena, such as the rising and setting of the sun, follow a pattern or regularity. This assumption is based on the principle of uniformity of nature, which suggests that the future will resemble the past in terms of natural occurrences.

4. The limitations of inductive reasoning: While inductive reasoning provides a useful way to make predictions based on past observations, it is not foolproof. There is always a small possibility that something unexpected could happen, such as a rare astronomical event or an external factor that alters the pattern. However, based on the available evidence and the consistency of the observed pattern, the prediction that the sun will rise tomorrow morning and set tomorrow evening is highly probable.

In summary, the argument relies on inductive reasoning, using the past consistent observation of the sun's rising and setting to predict that it will continue to do so in the future. While this reasoning is not infallible, it is a reasonable and practical way to make predictions based on observed patterns in nature.

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Equations

Let's call:

x = time Stanley swam yesterday.

We know he ran for half an hour longer than he swam, thus the time he ran was:

x + 0.5 = time Stanley ran yesterday

We also know he biked for twice the time he ran, thus:

2(x + 0.5) = time Stanley biked yesterday.

The distance covered by Stanley when swimming is

2.5*x

The distance covered by Stanley when running is:

9*(x+0.5)

The distance covered by Stanley while biking is:

16*2*(x + 0.5) = 32(x + 0.5)

The total distance is 64 miles, thus:

2.5*x + 9*(x+0.5) + 32(x + 0.5) = 64

Operating:

2.5x + 9x + 4.5 + 32x + 16 = 64

Simplifying:

43.5x + 20.5 = 64

Subtracting 20.5:

43.5x = 43.5

Thus:

x = 1

Stanley swam for 1 hour, he ran for 1+0.5 = 1.5 hours and biked for 2*1.5=3 hours

Swam: 1 hour, Ran: 1.5 hours, Biked: 3 hours

Answer:

$13.8

Step-by-step explanation:

I did the math

2.8x+8.7

Step-by-step explanation:

-2.1x+3.7+5+4.9x

=2.8x+8.7

The given expression is √8aᵇ / √108 and the simplified expression is (√2 * aᵇ) / (3√3).

To simplify this expression, we can start by simplifying the square roots:

√8aᵇ = √(4 * 2) * aᵇ = 2√2 * aᵇ

√108 = √(36 * 3) = 6√3

Now, we can substitute these simplified square roots back into the original expression:

(2√2 * aᵇ) / (6√3)

To simplify further, we can divide both the numerator and denominator by their greatest common factor, which in this case is 2:

(2√2 * aᵇ) / (6√3) = (√2 * aᵇ) / (3√3)

The simplified expression is (√2 * aᵇ) / (3√3).

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According to the given statement the size of the class interval in this distribution is 5.

In order to find the size of the class interval in a distribution, you need to divide the range of the data by the number of intervals.

In this case, you have 50 scores and 10 intervals. To find the range, subtract the smallest value from the largest value. Since the question does not provide specific values, we cannot calculate the exact range.

However, let's assume the smallest value is 10 and the largest value is 60. The range would then be 60 - 10 = 50..

To find the size of the class interval, divide the range by the number of intervals. So, 50 divided by 10 equals 5.

Therefore, the size of the class interval in this distribution is 5.

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The size of the class interval in this distribution would be 3.

The size of the class interval in a distribution of 50 scores with 10 intervals can be determined by dividing the total range of scores by the number of intervals.

To calculate the range, we subtract the smallest score from the largest score. Let's say the smallest score is 60 and the largest score is 90. The range would be 90 - 60 = 30.

Next, we divide the range by the number of intervals. In this case, there are 10 intervals. So, the class interval would be 30 / 10 = 3.

It's important to note that in this example, we assumed the scores were already sorted in ascending order. If the scores are not sorted, it's necessary to sort them first before calculating the class interval. Additionally, it's essential to consider rounding and choosing appropriate interval sizes based on the data and its context.

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Answer:

Equation: 80-25= m

Solution: 80-25= 55

Check: 25+55= 80

Step-by-step explanation:

BigBrain

Answer:

nopeeeeeeeeeee

Step-by-step explanation:

do you want an explanation?

Answer:

the answer is yes

Step-by-step explanation:

yea i hope this helps!

Answer: 25 + 3n

Step-by-step explanation:

Hi, the answer is lacking the last part:

Write an expression for the amount of money he makes this week.

So, to answer this we have to write an expression:

The fixed amount that he earns per week (25) plus the product of the amount he earns per subscription (3) and the number of subscriptions sold (n) , must be equal to his weekly earnings.

Mathematically speaking:

25 + 3n

Feel free to ask for more if needed or if you did not understand something.  

We cannot definitively determine whether the interval (27.336, 33.064) covers the true mean based on the information provided. However, we can say that there is a 97% probability that the true mean falls within this interval. This is because the given interval is a 97% confidence interval, which means that if we were to take repeated samples of 97 students from the same population and construct 97% confidence intervals for each sample, approximately 97% of these intervals would contain the true mean.

Therefore, we cannot say for certain whether the true mean is within the given interval, but we can be highly confident that it is. Additionally, we should keep in mind that the College Board only analyzed a sample of 97 students, so there is some uncertainty and potential for sampling error in the estimation of the true mean.

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