Determine the equation of the circle graphed below.

The first scatter plot does not have a zero correlation.

Option(a) is correct.

A statistic called correlation gauges how much two variables change in connection to one another.

Correlation quantifies correlation but cannot determine whether x causes y or vice versa, or whether a third component is responsible for the association.

A scatterplot may make it easier to spot correlation, particularly when the variables have a non-linear but nevertheless significant association.

Zero means there is no correlation between the two variables under comparison.

A 0 correlation indicates that there is no relationship between the two variables according to the correlation statistic. This merely indicates that there isn't a linear relationship, not that there isn't any link at all. The first scatter plot does not represent a linear relationship, thus, it has zero correlation.

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The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.

To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.

Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.

To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.

Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.

Therefore, the slope of the line that divides the region into two equal areas is 5.

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Answer:

21+3x

Step-by-step explanation:

multiply the 3 by everything inside the parentheses

Answer:

Prime factorization: 797 is prime. The exponent of prime number 797 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 797 has exactly 2 factors

In Animal Farm, Boxer, many piglets, hens, and a lot of other nameless creatures all perish under Napoleon's tyranny.

The framework, the structure, within which a story is produced, is known as the plot of a story. It almost acts as the blueprint for how all the many parts of a literary work fit together to form a finished product. The five elements that make up a story's plot are as follows: the introduction, also known as exposition, in which the reader is given background information on the narrative's characters and setting as well as other essential details.

The three main parts of a story are the rising action, the climax, and the falling action. The rising action is when the writer builds up the information and develops the story to lead the reader to the story's crucial point. The climax is essentially the heart of the story and the point at which the action reaches its highest pitch. To prepare for the story's conclusion, the loose ends also start to be tied off. The conclusion of the story, or resolution, comes last.

Boxer is now known as the most pitiful of Orwell's characters because of his death in this chapter. Napoleon has completely brainwashed him; as a result, he lives (and dies) for the benefit of the farm, whose boss sells him to a knacker as soon as he becomes unfit for labor.

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Han's retirement account earns $247,163.25 in simple interest.

To find the simplest interest, we need to use the formula:

Simple Interest = Principal × Rate × Time

In this case, the Principal is $410,000 and the Rate is $15,785 per year. We don't know the time period, but we can solve for it using the formula:

Time = Simple Interest ÷ (Principal × Rate)

Plugging in the values, we get:

Time = $15,785 ÷ ($410,000 × 1) = 0.0385 years

Therefore, the simplest interest is:

Simple Interest = $410,000 × $15,785 × 0.0385 = $247,163.25

So Han's retirement account earns $247,163.25 in simple interest.

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Answer:

C

Step-by-step explanation:

Parallelograms have lines of symmetry

Please mark brainlest

Answer:

x=49

y=63

Step-by-step explanation:

Answer:

x=49

y=63

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

If the two number cubes are a standard six sided dice then the total of ways he can roll for the sum of 6 is 3

1+5 = 6

2+4 = 6

3+3 = 6

Answer:

231

Step-by-step explanation:

\(3+jk+k^{3} \\\\j=2\\\\k=6\\\\3+jk+k^3\\\\=3+(2)(6)+(6)^3\\\\=3+12+216\\\\=231\)

The value of expression for the given j and k value is 231.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is 3+jk+k³. When j=2 and k=6.

Substitute j=2 and k=6 in the expression 3+jk+k³, we get

3+2×6+6³

= 15+216

= 231

Therefore, the value of expression for the given j and k value is 231.

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We can represent 0.614 using only 5 tenths as \(\mathbf{\dfrac{6.14}{10}}\)

A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.

The accepted method for representing both integer and non-integer numbers is the decimal number system.

From the given information, we are to represent 0.614 by using only 5 tenths.

Representing 0.614 in the same form, we have:

\(\mathbf{=\dfrac{0.614\times 1000}{1\times 1000}}\)

\(\mathbf{=\dfrac{614}{1000}}\)

\(\mathbf{=\dfrac{6.14}{10}}\)

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Answer: 6.14/10

Step-by-step explanation:

Answer:

(Sqrt 8)/1

Step-by-step explanation:

<90/2 = <45 degrees

Tan 45 degrees = sqrt 8/x

x = (sqrt8)/tan 45

x = (sqrt 8)/1

answer. 804.25

the radius times two, times pie

Answer:

804.2496 square feet

Step-by-step explanation:

Just apply the formula for the area of a circle given the radius

A = π r²

where

A = area

r = radius

Given r = 16 ft

A = π x 16²

A= π x 256

Taking π as 3.1416 we get

A = 3.1416 x 256

A = 804.2496 square feet

Two 750g boxes are the cheapest way to buy 1500g of cornflakes.

It cost  £2.97 to buy 1500g of cornflakes if we use the cheapest way.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, We need 1500g of cornflakes.

The cost of a 750g box is £1.98 and the next box we can but at half price.

So, the cost of 1500g of cornflakes in case(i) is £(1.98 + 1.98/2) =  £2.97.

In case(ii) 500g box cost  £1.75 and if we buy two one is free,

∴ The cost of 1500g in case(ii) is  2×£1.75 = £3.5.

Two 750g boxes is the cheapest way to buy 1500g of cornflakes.

It cost  £2.97 to buy 1500g of cornflakes if we use the cheapest way.

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Answer:

8 more girls than boys the ratio of boys to girls is 5:7, Therefore the difference of 2 = 8 more girls and ratio of 1 is 4

4 x ratio of 5 = 20 boys

4 x ratio of 7 = 28 girls

Answer: The Total of boys and girls in the play is 48.

Step-by-step explanation:

The best estimate of the true value for this data set is the mean value, which is 1000 rpm.

To calculate the mean value, we add up all the values and divide by the

number of values:

(990 + 1030 + 950 + 1050 + 1000 + 980) / 6 = 1000

So the mean value is 1000 rpm.

To calculate the standard deviation, we need to first calculate the

variance:

Variance =\([(990 - 1000)^2 + (1030 - 1000)^2 + (950 - 1000)^2 + (1050 - 1000)^2 + (1000 - 1000)^2 + (980 - 1000)^2] / 6\)

Variance = 12000 / 6 = 2000

So the variance is \(2000 (rpm)^2\).

The standard deviation is the square root of the variance:

Standard deviation = √(2000) = 44.7 rpm

The best estimate of the true value for this data set is the mean value, which is 1000 rpm.

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Yes, the equation ˆεt = Yt − α − βXt can be used to compute the OLS (Ordinary Least Squares) residual in a bivariate regression model.

In a bivariate regression model, we aim to estimate the relationship between a dependent variable Y and an independent variable X using a linear equation of the form Y = α + βX + ε, where α and β are the intercept and slope coefficients, and ε represents the error term.

The OLS method estimates the values of α and β that minimize the sum of squared residuals, which are the differences between the observed values of Y and the predicted values based on the estimated model.

The equation ˆεt = Yt − α − βXt represents the difference between the observed value Yt and the predicted value α + βXt for a specific data point. It represents the residual or the unexplained part of the dependent variable Y after accounting for the estimated intercept and slope coefficients. By computing these residuals for each data point, we can evaluate the goodness of fit of the regression model and assess the extent to which the model captures the observed data.

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Answer:

The true statements are the 1st, 2nd, and 4th statement.

Answer:

2*1/2+2=3

-4x-2y=-6 is x=−1/2y+3/2

Step-by-step explanation:

Writing numbers in powers of 10, is an illustration of standard forms of numbers.

The national debt is about \(2.353 \times 10^{10}\) greater than the average household credit card debt.

Let

\(k = 7122\) --- average household credit card debt

\(n = 16,755,133,009,522\) --- national debt

Rewrite as a power of 10

\(k = 7.122 \times 10^3\)

\(n = 1.676 \times 10^{14}\)

The number of times (N) the national debt is greater than the average household debt is

\(N = \frac nk\)

So, we have:

\(N = \frac{1.676 \times 10^{14}}{7.122 \times 10^3}\)

Evaluate exponents

\(N = \frac{1.676 \times 10^{14 -3}}{7.122}\)

\(N = \frac{1.676 \times 10^{11}}{7.122}\)

Divide

\(N = 0.2353 \times 10^{11}\)

Rewrite as:

\(N = 2.353 \times 10^{10}\)

Hence, the national debt is about \(2.353 \times 10^{10}\) greater than the average household credit card debt.

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Answer: a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

40 is the answer

Step-by-step explanation:

Given :-

To Find :-

Solution :-

As we know that the volume of the cylinder is ,

\(\longrightarrow\) Volume = πr²h

On substituting the respective values ,

\(\longrightarrow\) Volume = 3.14 * (7ft)²*12ft

\(\longrightarrow\) Volume = 3.14*49ft²*12ft

\(\longrightarrow\) Volume = 1846.32 ft.³

Hence the required answer is 1846.32 ft³.

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

x = 2.4545... → (1)

100x = 245.4545... → (2)

Subtract (1) from (2) eliminating the repeating decimal

99x = 243 ( divide both sides by 99 )

x = \(\frac{243}{99}\)

Some alkenes have geometric cis-trans isomers because of the presence of a double bond between two carbon atoms. In a carbon-carbon double bond, the carbon atoms are connected to two different groups of atoms, which can be oriented differently in space. In the cis configuration, the two substituent groups on each carbon atom are on the same side of the double bond, while in the trans configuration, the two substituent groups on each carbon atom are on opposite sides of the double bond.

The cis-trans isomerism arises due to the restricted rotation around the carbon-carbon double bond. In the case of cis isomers, the substituent groups are too bulky to rotate around the double bond, and they remain on the same side of the double bond. In contrast, in the trans isomers, the substituent groups are oriented on opposite sides of the double bond, which allows them to rotate freely around the bond.

The presence of cis-trans isomers has important consequences for the physical and chemical properties of alkenes, including their reactivity, solubility, and melting points. The two isomers can have different properties and can exhibit different biological activities, making them important targets for drug design and synthesis.

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Answer:

  yes

Step-by-step explanation:

The point can be demonstrated to lie on the circle by plotting both on a graph. It can also be shown to lie on the circle by showing the distance from center is equal to the radius.

The attachment shows a graph of the circle. Its equation is ...

  (x -h)² +(y -k)² = r² . . . . . . for center (h, k) and radius r

We have (h, k) = (2, 13) and r = 5, so the equation is ...

  (x -2)² +(y -13)² = 25 . . . . graphed equation

The point in question is also graphed, and is shown to lie on the circle.

If the given point satisfies the circle's equation, it lies on the circle.

For (x, y) = (-2, 10), we find ...

  (-2 -2)² +(10 -13)² = (-4)² +(-3)² = 16 +9 = 25 . . . . . the equation is satisfied

System of inequalities are :

y> \(x^{2} -4\) and y > \(x^{2} +3\)

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Answer:

Step-by-step explanation:

(x-2)(2x+3)(x+1)

=x(2x+3)-2(2x+3)(x+1)

=(2x^2+3x-4x-6)(x-1)

=(2x^2-x-6)(x-1)

=2x^2(x-1)-x(x-1)-6(x-1)

=2x^3-2x^2-x^2+x-6x+6

=2x^3-3x^2-5x+6

( x - 2 )( x + 1 )( 2x + 3 ) =

( x^2 - x - 2 )( 2x + 3 ) =

2x^3 - 2x^2 - 4x + 3x^2 - 3x - 6 =

2x^3 + ( -2 + 3 )x^2 + ( - 4 - 3 )x - 6 =

2x^3 + x^2 - 7x - 6