Which comparison is not correct?

A) 95% confidence interval for the population mean is (85.37, 94.63). B) the 95% confidence interval for the population mean is (87.53, 92.47).

A) Using the given information, we can use a t-distribution to compute the 95% confidence interval for the population mean:

t(0.025, 69) = 1.994, where 0.025 is the level of significance for a two-tailed test and 69 degrees of freedom (n-1).

The margin of error is given by:

ME = t(0.025, 69) * σ/√n = 1.994 * 15/√70 ≈ 4.63

Thus, the 95% confidence interval for the population mean is:

90 ± 4.63, or (85.37, 94.63).

B) Assuming the same sample mean was obtained from a sample of 140 items, we can again use a t-distribution to compute the 95% confidence interval for the population mean:

t(0.025, 139) = 1.976, where 0.025 is the level of significance for a two-tailed test and 139 degrees of freedom (n-1).

The margin of error is given by:

ME = t(0.025, 139) * σ/√n = 1.976 * 15/√140 ≈ 2.47

Thus, the 95% confidence interval for the population mean is:

90 ± 2.47, or (87.53, 92.47).

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The value of x in the given equation is 1 or 8.

First, let us understand the equation:

An equation is a mathematical expression that includes the equals sign. Algebra is frequently used in equations.

We are given;

x / (x + 8) + 1 / (x - 8) = 2x / (x^2 - 64)

x (x - 8) + 1 (x + 8) / (x^2 - 64) = 2x / (x^2 - 64)

x^2 - 8x + x + 8 = 2x

x^2 - 8x - 2x + x + 8 = 0

x^2 - 9x + 8 = 0

x^2 - 8x - x + 8 = 0

x(x - 8) - 1 (x - 8) = 0

(x - 1) (x - 8) = 0

(x - 1) = 0 or (x - 8) = 0

x = 1 or x = 8

So, the value of x = 1 or 8.

Thus, the value of x in the given equation is 1 or 8.

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The statement is true that 95% of all possible sample means will fall above 76.71.

We know that the sample mean can be calculated using the formula;

\($\bar{X}=\frac{\sum X}{n}$\).

Given that the mean is 80 and the variance is 400 for the population and the sample size is 100. The standard deviation of the population is given by the formula;

σ = √400

= 20.

The standard error of the mean can be calculated using the formula;

SE = σ/√n

= 20/10

= 2

Substituting the values in the formula to get the sampling distribution of the mean;

\($Z=\frac{\bar{X}-\mu}{SE}$\)

where \($\bar{X}$\) is the sample mean, μ is the population mean, and SE is the standard error of the mean.

The sampling distribution of the mean will have the mean equal to the population mean and standard deviation equal to the standard error of the mean.

Therefore,

\(Z=\frac{76.71-80}{2}\\=-1.645$.\)

The probability of the Z-value being less than -1.645 is 0.05. Since the Z-value is less than 0.05, we can conclude that 95% of all possible sample means will fall above 76.71.

Conclusion: Therefore, the statement is true that 95% of all possible sample means will fall above 76.71.

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Answer:

B

Step-by-step explanation:

Answer:

{s | s < 90}

Step-by-step explanation: Took test

Answer:

4 Juice Boxes

Step-by-step explanation

Hope this helped you out! Have a great day!

To evaluate which of a set of curves fits the data best, you can use the option "c. R2", also known as the coefficient of determination.

R2 is a statistical measure that helps determine the proportion of variance in the dependent variable explained by the independent variable(s) in the regression model. It ranges from 0 to 1, with higher values indicating a better fit of the curve to the data.

To evaluate which of a set of curves fits the data best, we can use the R2 (coefficient of determination) metric. R2 is a statistical measure that represents the proportion of the variance in the dependent variable that is explained by the independent variable(s) in a regression model.

                                         A higher R2 value indicates a better fit of the curve to the data. APE (absolute percentage error), MAPE (mean absolute percentage error), and NPV (net present value) are not appropriate metrics for evaluating the fit of a curve to data. APE and MAPE are typically used to measure forecasting accuracy, while NPV is a financial metric used to determine the present value of future cash flows.

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The given integral, ∫[-2, 1] (4x^2 + 4x) dx using the given theorem, is divergent and does not have a finite value.

To evaluate the definite integral ∫[-2, 1] (4x^2 + 4x) dx using the given theorem, we need to apply the limit definition of a definite integral.

Let's first identify the necessary values:

a = -2 (the lower limit of integration)

b = 1 (the upper limit of integration)

f(x) = 4x^2 + 4x (the integrand)

We can divide the interval [a, b] into n subintervals of equal length. Let's assume n is a positive integer. The length of each subinterval is given by:

Δx = (b - a) / n = (1 - (-2)) / n = 3 / n

Next, we can choose the sample points x₁, x₂, ..., xₙ within each subinterval. The sample point xᵢ in the ith subinterval is given by:

xᵢ = a + (i - 1)Δx = -2 + (i - 1)(3 / n)

Now, using the theorem you provided, the definite integral can be approximated as:

∫[-2, 1] (4x^2 + 4x) dx ≈ lim(n→∞) [Σᵢ=1ⁿ f(xᵢ) Δx]

Substituting the values for f(x) and Δx, we have:

∫[-2, 1] (4x^2 + 4x) dx ≈ lim(n→∞) [Σᵢ=1ⁿ (4(xᵢ)^2 + 4xᵢ) (3 / n)]

Now, we can simplify this expression and take the limit as n approaches infinity. Let's calculate the sum:

Σᵢ=1ⁿ (4(xᵢ)^2 + 4xᵢ) = Σᵢ=1ⁿ (4(-2 + (i - 1)(3 / n))^2 + 4(-2 + (i - 1)(3 / n)))

Expanding and simplifying the terms within the sum:

= Σᵢ=1ⁿ (4(4 + 4(i - 1)(3 / n) + (i - 1)^2(9 / n^2)) + 4(-2 + (i - 1)(3 / n)))

= Σᵢ=1ⁿ (16 + 16(i - 1)(3 / n) + 4(i - 1)^2(9 / n^2) - 8 + 4(i - 1)(3 / n))

= Σᵢ=1ⁿ (8 + 24(i - 1)(3 / n) + 4(i - 1)^2(9 / n^2))

Now, let's continue simplifying the sum:

= 8Σᵢ=1ⁿ 1 + 24Σᵢ=1ⁿ (i - 1)(3 / n) + 4Σᵢ=1ⁿ (i - 1)^2(9 / n^2)

We can recognize the first term as the sum of n ones:

= 8(n)

The second term is the sum of (i - 1) from i = 1 to n:

Σᵢ=1ⁿ (i - 1) = Σᵢ=0ⁿ⁻¹ i = n(n - 1) / 2

Substituting this back into the expression:

= 24(n(n - 1) / 2)(3 / n) = 36(n - 1)

The third term is the sum of (i - 1)^2 from i = 1 to n:

Σᵢ=1ⁿ (i - 1)^2 = Σᵢ=0ⁿ⁻¹ i^2 = (n(n + 1)(2n + 1)) / 6

Substituting this back into the expression:

= 4((n(n + 1)(2n + 1)) / 6)(9 / n^2) = 6(n + 1)(2n + 1) / n

Putting everything together, we have:

Σᵢ=1ⁿ (4(xᵢ)^2 + 4xᵢ) = 8(n) + 36(n - 1) + 6(n + 1)(2n + 1) / n

Taking the limit as n approaches infinity:

lim(n→∞) [Σᵢ=1ⁿ (4(xᵢ)^2 + 4xᵢ) (3 / n)] = lim(n→∞) [8(n) + 36(n - 1) + 6(n + 1)(2n + 1) / n] (3 / n)

Now, let's simplify the expression further:

= lim(n→∞) [24 + 8(n - 1) + 6(2n + 1) / n]

= 24 + lim(n→∞) [8n - 8 + 12 + 6(2n + 1) / n]

= 24 + lim(n→∞) [8n + 4 + 12n + 6 / n]

= 24 + lim(n→∞) [20n + 10 / n]

As n approaches infinity, the terms 20n and 10/n dominate the expression. Therefore, we have:

lim(n→∞) [20n + 10 / n] = ∞

Substituting this back into the integral expression:

∫[-2, 1] (4x^2 + 4x) dx = ∞

Therefore, the given integral is divergent and does not have a finite value.

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Answer:

-2.83~

Step-by-step explanation:

google :)

Answer: I don't have the capability to create or share images. However, I can provide the step-by-step solution to the problem as text:

To solve this problem, we can use the cosine and sine rules in trigonometry. Let's first draw a diagram to represent the situation:

                        R

                        |

                        |

                        |

              732 km  |

                        |

                        |

                        |

       Q----------------P

a) To find the distance from Q to R, we need to first find the length of the side QR of the triangle PQR. We can do this by using the cosine rule:

cos(QPR) = (QP^2 + QR^2 - PR^2) / (2 * QP * QR)

Since angle QPR is a right angle, we have:

cos(QPR) = 0

Substituting the given values, we get:

0 = (156^2 + QR^2 - 732^2) / (2 * 156 * QR)

Simplifying and solving for QR, we get:

QR = sqrt(732^2 - 156^2) / 2.4 ≈ 269.3 km

Therefore, the distance from Q to R is approximately 269.3 km.

b) To find the total distance flown, we need to add up the distances PQ and QR. We have:

PQ = 156 km (given)

QR ≈ 269.3 km (from part a)

Total distance = PQ + QR ≈ 425.3 km

Therefore, the total distance flown is approximately 425.3 km.

c) To determine the bearing of point R from point Q, we need to find the angle QRS. We can do this by using the sine rule:

sin(QRS) / QR = sin(QRP) / PR

Since angle QRP is a right angle, we have:

sin(QRP) = PQ / PR

Substituting the given values, we get:

sin(QRS) / QR = 156 / 732

Simplifying and solving for sin(QRS), we get:

sin(QRS) = (156 / 732) * QR ≈ 0.203

Using the inverse sine function, we find that:

QRS ≈ 11.75°

Since the plane turned to the right at an angle in excess of 90°, the bearing of point R from point Q is:

Bearing of R from Q = 270° + QRS ≈ 281.75°

Therefore, the bearing of point R from point Q is approximately 281.75°.

Step-by-step explanation:

Answer:

Joel rolls two fair number cubes at the same time.

Each cube has six sides 1, 2, 3, 4, 5, 6

=> There are 6 x 6 = 36 possible pairs (or 36 possible sums)

The collection of pairs that have sum less than 4 includes (1, 2), (2, 1) and (1, 1) => 3 cases (*)

The sum that is odd when two cubes show one odd number and one even number. Therefore each side of first cube has 3 options from second cube to form an odd sum. => The total number of cases: 6 x 3 = 18  cases

In these 18 cases, there are two cases (1, 2) and (2, 1) which have been counted already at (*) => Total case that the sum of the numbers will be odd or less than 4: T = 3 + 18 - 2 = 19 cases

=> Probability that the sum of the numbers will be odd or less than 4:

P = 19/36 = 0.53

Hope this helps!

:)

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same. The formula for this property can be expressed in real numbers a, b and c. If a × c = b × c.

Property of Equality:

The equivalence property describes the relationship between two equal quantities. If you apply a math operation to one side of the equation, you must also apply it to the other side of the equation to maintain balance.

That is, a property that does not change the truth value of an equation or does not affect the equivalence of two or more quantities is called an equality property. These equality properties help solve various algebraic equations and define equivalence or equilibrium relationships.

Multiplicative Property of Equality:

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same.

The formula for this property can be expressed as for the real numbers a, b, and c.

If a × b, then, a × c = b × c.

In algebra, the multiplicative property of an equation helps extract unknown terms from an equation. Because multiplication and division are opposites of each other.

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Answer:

B, 0.625

Step-by-step explanation:

The constant of proportionality is y/x

from the equation y = kx ->  y/x = k

Answer:

c 1.6

Step-by-step explanation:

The constant of proportionality is what determines the relationship between y and x. If r is the constant of proportionality then an example is y = rx . The value of y is dependant on how the given value of x is effected by the constant of proportionality.

Answer:

%50 1÷2

if there is missing information. if there is 10 total marbels 5 would be red, 5would be blue.

What do squares, rectangles, and right triangles have in common? They all contain at least one right angle!

What shape has at least one right angle?

rectangle

A rectangle is a four-sided shape where every angle is a right angle (90°). Also, the opposite sides are parallel and of equal length.

The shapes which contain at least one right angle from the given shapes are the first and third figures.

Given are four shapes.

It is required to find the shape with at least one right angle.

Now, right angles can be defined as the angle whose measure is exactly 90 degrees.

Anything measure of angle which is less than or greater than 90 degrees is not a right angle.

Consider the first figure.

There are 2 right angles marked in squared shape inside the shape in the right part.

So, the first figure contains the right angle.

In the second figure, all angle measures are 108 degrees. So none is a right angle.

In the third figure, all the angles are right angles since all are marked as squares.

In the last figure, the angle measures are only 73° and 107°. So, this is not right angles.

Hence, the options are first and third figures.

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The complete question is given below:

Answer:

m = -1

n= -8

Step-by-step explanation:

5m -3n = 19

m - 6 = -7

solve for m:

m = -7+6

m = -1

plug in m

5(-1) - 3n = 19

-5 - 3n = 19

-3n = 24

n = -8

Answer:

A≈228.33

Step-by-step explanation:

Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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the new coordinates are: A' = (5, 4) B' = (6, 0) C' = (5, 8)

Why it is and what are coordinates?

To translate the triangle, we need to add the same values to each coordinate. Let's say we want to translate the triangle by adding the vector <2, 3> to each point.

A' = (3 + 2, 1 + 3) = (5, 4)

B' = (4 + 2, -3 + 3) = (6, 0)

C' = (3 + 2, 5 + 3) = (5, 8)

Therefore, the new coordinates are:

A' = (5, 4)

B' = (6, 0)

C' = (5, 8)

In geometry, coordinates are values that specify the position of a point or an object in a plane or in space. In a two-dimensional plane, a point can be located by its distance from the origin (0,0) along the x-axis (horizontal) and y-axis (vertical).

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Answer:

x=9

Step-by-step explanation:

x+12=21

x=21-12

x=9

x+12=21

Step 1: Subtract 12 from both sides.

x+12−12=21−12

x=9

Answer: To differentiate this function, we need to use the product rule and the chain rule.

First, we will simplify the function:

f(y) = (1/y^2 - 3/y^4) * y(y + 9y^3)

f(y) = (y + 9y^3) / y^3 - (3y + 27y^3) / y^5

f(y) = y^-3 * (y^4 + 9y^6 - 3y^4 - 27y^6)

f(y) = 6y^4 / y^3

f(y) = 6y

Now we can differentiate:

f'(y) = 6

Therefore, the derivative of f(y) is 6.

Using product rule and power rule of differentiation, the derivative of the function f(y) = 1/y² - 3/y⁴ * (y + 9y³) is f'(y) = 12/y⁷ - 6/y⁶ - 54/y⁵.

To differentiate the given function,

We need to use product rule and the power rule of differentiation

use product rule to differentiate two terms in the function;

Let's consider the first term: 1/y²

The derivative of 1/y² with respect to y is:

d(1/y²)/dy = -2/y³

Now, let's consider the second term: -3/y⁴ * (y + 9y³)

The derivative of -3/y⁴ with respect to y is:

d(-3/y⁴)/dy = 12/y⁵

The derivative of (y + 9y³) with respect to y is:

d(y + 9y³)/dy = 1 + 27y²

Let's use product rule to differentiate the expression

Using the product rule, the derivative of the entire expression f(y) = 1/y₂- 3/y⁴ * (y + 9y³) is:

f'(y) = (1/y²) * (d(-3/y⁴ * (y + 9y³))/dy) + (-3/y⁴ * (y + 9y³)) * (d(1/y²)/dy)

Let's plug the value into the previous expression

f'(y) = (1/y²) * (12/y⁵) + (-3/y⁴* (y + 9y³)) * (-2/y³)

Simplifying further:

f'(y) = 12/y⁷ - 6(y + 9y³)/y⁷

      = 12/y⁷ - 6(y/y⁷ + 9y³/y⁷)

      = 12/y⁷ - 6/y⁶ - 54y²/y⁷

      = 12/y⁷ - 6/y⁶ - 54/y⁵

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Answer:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

no we cannot add them, though we can multiply or divide them. You cannot add them because they have different variables, we need the same variables to add or subtract those.

Step-by-step explanation:

Hope it helps

keep smiling :)

\(on \: this \: farm \: there \: are \to \\ \underline{ \boxed{17 \: pigs }}\: \\ and \\ \underline{ \boxed{28 \:chickens}}\)

Answer: total amount after 1 year will be 44759 + 4028.31 = 48,787.31

Step-by-step explanation:

SI = prt / 100

= 44759 x .09 x 1

= 4028.31

Answer:

your answer C.)11,779 feet

Step-by-step explanation:

also the other ch.at got max out....

Answer:

C.)11,779 feet

Step-by-step explanation:

I took the test and got it correct!

The minimum value of the function f(x) =0. 9x2+3. 4x-2. 4 is -3.77 and its parabolic curve is upward because of its minimum value.

Let's consider the equation of a function.

f(x) = \(0.9x^{2} + 3.4x -2.4\)

Now, divide each and every element and assume that a, b, and c are coefficients of the function given.

a: 0.9

b: 3.4

c: -2.4

The sign of the coefficient of a determines the exposure of the parabola. Since a >  0, the parabola is open upwards and has a minimum value.

We can find the "x" of the vertex using the following expression.

x(v) = -b/2a = -3.4/(0.9)

x(v) = -3.77

We can find the "y" of the vertex by replacing this x in the equation

y(v) = 0.9(-3.77)² + 3.4(-3.77) -2.4

y(v)  = -2.42

The minimum value of the function is -3.77

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