The actual error when the first derivative of f(x) = x - 21n x at x = 2 is approximated by the following formula with h = 0.5: 3f(x) - 4f(x - h) + f(x - 2h) 12h Is: 0.00237 0.01414 0.00142 0.00475

A p-value for correlation which is statistically significant implies the correlation is due to random chance. The correct solution to this is False.

A p-value for correlation which is statistically significant implies that it is unlikely that the observed correlation is due to random chance alone. In other words, it suggests that there is evidence to support the presence of a true correlation between the two variables being studied. The p-value is a measure of the strength of evidence against the null hypothesis (i.e., that there is no correlation between the two variables), and a smaller p-value indicates stronger evidence against the null hypothesis.

Interpretation of the intercept: The intercept in a linear regression model represents the value of the dependent variable when all independent variables are equal to zero. It is the value of the dependent variable when there is no effect of the independent variable(s) on it. For example, in a regression model predicting height based on age, the intercept would represent the expected height of a person at age zero (which is not a realistic scenario).

Interpretation of a residual: A residual is the difference between the actual observed value of the dependent variable and the predicted value of the dependent variable based on the regression model. It represents the part of the dependent variable that the model was not able to explain. A positive residual means that the actual value is greater than the predicted value, while a negative residual means that the actual value is smaller than the predicted value.

Interpretation of r-squared: R-squared is a measure of how much of the variation in the dependent variable is 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 model to the data. Specifically, it represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s) in the model. For example, if r-squared is 0.75, it means that 75% of the variability in the dependent variable is explained by the independent variable(s) in the model.

Interpretation of the slope: The slope in a linear regression model represents the change in the dependent variable that is associated with a one-unit increase in the independent variable, holding all other variables constant. It reflects the average change in the dependent variable for each unit change in the independent variable. For example, in a regression model predicting height based on age, the slope would represent the average change in height for each additional year of age.

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Answer:

416 / 3 = 128 with a remainder of 2.

Step-by-step explanation:

When 416 is divided by 3 can be expressed as 138 with a remainder of 2.

When we divide 416 by 3, the quotient represents the whole number result of the division, while the remainder represents the amount left over.
Dividing 416 by 3 gives us:

416/3 = 138 + 2/3
Quotient: 416/3 = 138

Remainder: 416/3 = 2

However, there is a remainder of 2. The remainder represents the amount that is left over after dividing as much as possible. In this case, after dividing 416 by 3, there is 2 left over that cannot be evenly divided.

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The option that describes the viable solution for the system is D.

all real number values, with x >=0 and y>=0​

Here we have the following system of inequalities:

-y ≤ 3x + 4

-3x - 3y ≤ 9

We can rewrite the second inequality to get:

-3y ≤ 9 + 3x

-y ≤ 9/3 + 3x/3

-y ≤  3 + x

Then our system of inequalities becomes:

-y ≤  3 + x

-y ≤ 3x + 4

So, as long as x and y are both positive or 0, the system is true (this is a rough estimation), but that is enough to conclude that the correct option is D.

all real number values, with x >=0 and y>=0​

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The Ways to use coordinates to prove quadrilaterals are parallelograms, rectangles, rhombi, or squares are listed below:

Here are some ways to use coordinates to prove quadrilaterals are parallelograms, rectangles, rhombi, or squares:

Parallelogram: To prove that a quadrilateral is a parallelogram using coordinates, you need to show that both pairs of opposite sides are parallel.

Rectangle: To prove that a quadrilateral is a rectangle using coordinates, you need to show that it is both a parallelogram and that it has four right angles.

Rhombus: To prove that a quadrilateral is a rhombus using coordinates, you need to show that it is both a parallelogram and that it has four congruent sides.

Square: To prove that a quadrilateral is a square using coordinates, you need to show that it is both a rectangle and a rhombus.

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Answer:

----------------------

Jonathan spends the fraction of total:

The fraction of money left:

Jonathan has 7/20 of money left.

Answer:

The points present in the first quadrant are of the form (a, b) where a, b>0.

Step-by-step explanation:

The points present in the first quadrant are of the form (a, b) where a, b>0.

In the first quadrant both the abscissa and ordinate are positive.

In the second quadrant the abscissa is negative and ordinate is positive.

In the third quadrant both the abscissa and ordinate are negative.

In the forth quadrant both the abscissa is positive and ordinate are negative.

The examples of points in the first quadrant are (1,0), (2,3), (11,4) and many other.

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Answer: The y-coordinates in the first quadrant are positive. because y represents the profit made, positive y values signify profit. The points in quadrant I represent the baseball team making a profit.

Step-by-step explanation: Source - I took the test.

Answer:

63 cents

Step-by-step explanation:

Let's set up two ratios...

24:72

21:x

We can simplify the first ratio by dividing both sides by 24 to get...

1:3

21:x

We know that 1*21 is 21 so we multiply 3 by 21 to get x

3*21=63

Answer:

63 cents

Step-by-step explanation:

Converting:

1 inch of wire cost 72/24=3 cents

Soultion:

now you do 21*3

Answer:

63 cents!

Goodbye letter:    

Dear reader.

            Please mark this brainliest!

Answer:

9

Step-by-step explanation:

First, write the equation.

C(n) = 4 + 3n

We know that C(n) = 31, so we can substitute it.

31 = 4 + 3n

Subtract 4 from both sides to isolate the term with the variable.

27 = 3n

Divide both sides by 3 to get the variable by itself.

9 = n

The value of n such that C(n) = 31 is true is 9

Given the cost in dollars, of a cafeteria meal plan as a function of the number of meals  purchased, n as:

If the cost value C(n) is 31, hence;

31 = 4 + 3n

3n = 31 - 4

3n = 27

n = 27/3

n = 9

Hence the value of n such that C(n) = 31 is true is 9

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Answer:

The answer is B

Step-by-step explanation:

These are triangles are similar and because of that:

x/6 = (x+2.5)/(6+4)

x/6 = x/10 + 0.25

x = 6x/10 + 1.5

4x/10 = 1.5

4x = 15

x = 3.75

Answer:

3.02 is the answer for this question if the answer is correct plz mark me as brainliest

Answer:

3.02

Step-by-step explanation:

51.34 ÷ 17 = 3.02

Answer:

In second step

6x-8 = 12+2x

5x = 20

x = 4

Step-by-step explanation:

Hope it helps you!

There is a 7.4% probability that the first marble will be green and the second will be red.

To calculate the probability, you will need to use the following formula:

P(A and B) = P(A) x P(B).

In this case, P(A) is the probability of picking a green marble on the first pick and P(B) is the probability of picking a red marble on the second pick. Using this formula,

we get P(A and B) = 333/999 x 222/998 = 0.074,

which is the probability of picking a green marble on the first pick and a red marble on the second pick.

So, there is a 7.4% chance of this happening.

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Answer: sqrt(61)

Step-by-step explanation:

For parts a) and c1), refer to the attached picture.

For part b), the distance formula is:

d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

Using x1 = -1, y1 = -4, x2 = -6, y2 = 2:

d = sqrt[(-6 + 1)^2 + (2 + 4)^2] = sqrt[25 + 36] = sqrt(61)

Part c2) Another way to find the length of AB without using the distance formula is by drawing the line and measuring it according to the scale.

Part d) This will only work as long as the graph paper is accurately made, and the scale computation is done correctly. However, this will only give approximations, and will not give an exact answer when radicals are involved.

Answer:

A(n) = 1500 * (1 + 0.0367)^n

Step-by-step explanation:

Given that Ted's account has $1535.25 after 1 year, we can use that value to write an explicit expression for the function A(n).

The amount in the account after n years is given by the formula:

A(n) = A(0) * (1 + r)^n

where A(0) is the initial amount in the account and r is the interest rate.

Since A(1) = $1535.25 and A(0) = $1500, we can substitute these values into the formula:

1535.25 = 1500 * (1 + r)^1

Solving for r:

r = (1535.25/1500) - 1 = 0.0367

So, the interest rate is 3.67% and the explicit expression for the function A(n) is:

A(n) = 1500 * (1 + 0.0367)^n

According to the information, it can be inferred that the bees must travel a distance of 4,803,620.82 km to complete the 30 kg of honey that a hive produces.

To calculate the distance that bees register to produce honey we must perform the following operation.

1. Calculate how many kilometers are equal to the circumference of the earth with the following formula 2*pi*R. In this case we replace the R, by the radius of the earth and we will obtain the distance of the circumference of the earth.

\(2\pi r\)

\(2\pi 6,371 km = 40,030.1736\)

2. Once we have identified the circumference of the earth, we must multiply it by four to know how much distance the bee will recover to produce one kg of honey.

40,030.1736 * 4 = 160,120.694

3. Finally we must multiply the distance it takes to produce 1kg by 30 to find the distance it takes to produce 30kg of honey.

160,120,694 * 30 = 4,803,620.82

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The probability that the sample mean would be less than 31,358 miles in a sample of 242 tires if the manager is correct is 0.9925 (or 99.25%).

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

We can use the central limit theorem to approximate the distribution of the sample mean. According to the central limit theorem, if the sample size is sufficiently large, the distribution of the sample mean will be approximately normal with a mean of 30,641 and a standard deviation of sqrt(variance/sample size).

So, we have:

mean = 30,641

variance = 14,561,860

sample size = 242

standard deviation = sqrt(variance/sample size) = sqrt(14,561,860/242) = 635.14

Now, we need to calculate the z-score corresponding to a sample mean of 31,358 miles:

z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

= (31,358 - 30,641) / (635.14 / sqrt(242))

= 2.43

Using a standard normal distribution table or calculator, we can find the probability that a z-score is less than 2.43. The probability is approximately 0.9925.

Therefore, the probability that the sample mean would be less than 31,358 miles in a sample of 242 tires if the manager is correct is 0.9925 (or 99.25%).

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9514 1404 393

Answer:

  D.  -2.09 degrees per minute

Step-by-step explanation:

The average rate of change is the change in temperature divided by the change in time:

  m = (T(30) -T(10))/(30 -10)

  = ((15 +155 e^(-30·0.02)) -(15 +155 e^(-10·0.02))/20

  = (155/20)(e^-0.6 -e^-0.2) ≈ -2.09 . . . degrees per minute

The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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Answer:

24496

Step-by-step explanation:

40912 * (1-5%) ^10 = 24495.5

becuase they are humans, so round up to 24496

Answer:

4u+12

Step-by-step explanation:

2(2u+6)

4u+12

Answer:

4u + 12

Step-by-step explanation:

2(2u + 6)

=> 2(2u) + 2(6)

=> 4u + 12

Answer:

3217.00

Step-by-step explanation:

V=πr^2h=π·8^2·16≈3216.99088

Answer:

804.2 or 803.8

Step-by-step explanation:

volume = π · r2 · h

π · \(4^{2}\) · 16 = 804.2

3.14 · \(4^{2}\) · 16 = 803.8

Answer:

A is 805i tink and B is for sure 17

Step-by-step explanation:

Answer:

$25.75

Step-by-step explanation:

$30.00 - $4.25 = $25.75

the measure of ∠B = 85°

Explanation:

m∠A = (x-23)°

m∠B = (2x+29)°

Complementary angles are angles that have their sum equal to 90°:

m∠A + m∠B =90°

(x-23)°+ (2x+29)° = 90°

x + 2x -23 + 29 = 90°

3x + 6 = 90

collect like terms:

3x = 90-6

3x = 84

x = 84/3

x = 28°

m∠B = (2x+29)° = 2(28) + 29

m∠B = 85°

Therefore, the measure of ∠B = 85°

The statements (b) and (d) are true concerning the measurements of a circle.

What is a circle?

A circle is a reconstructed by all elements in a plane that lie at a particular separation from the center. It is the curve sketched out by a point moving in a surface so that its radius from a particular point remains constant. The radius describes the distance either between two points on a circle and the center. Ordinarily, the radius must be a greater than 0. A circle, in particular, is a basic closed curve that splits the plane into two regions: inner and exterior. A circle can alternatively be described as a kind of ellipse with two coincident foci, zero eccentricity, and equal semi-major and semi-minor axes.

The statements:

(b) The area of a circle with a diameter of 1 unit is equal to pi square units and

(d) The circumference of a circle with a diameter of 1 unit is equal to pi units are true concerning the measurements of a circle.

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Answer: 0.28

Step-by-step explanation:

Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.


Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.

Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.

These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.

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The values of x in each equation are;

1) 128

2) 1500

Forming an equation involves expressing a mathematical relationship or statement using mathematical symbols and symbols of equality. The goal is to represent a real-life situation, a mathematical problem, or a hypothesis in a clear and concise way that can be easily analyzed and solved.

We have that;

1) let the number be x

85/100 * x = 108.8

x = 108.8 * 100/85

= 128

2) Let the number of the kettle corn be x;

6/10 * 2500 = x

x = 1500

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For the required value of the given complex numbers z₁z₂ = 32(cos 255° + isin 255°).

Complex numbers are those that expand on the idea of real numbers by incorporating an illogical element.

The formula for a complex number is "a + bi," where "a" and "b" are real numbers and "i" is the imaginary unit, which is equal to the square root of -1.

"A" stands for the complex number's real component, and "b" stands for the imaginary component.

We multiply the magnitudes of two complex numbers and add their arguments to determine their product.

Let's compute z₁z₂ with the supplied values.

Given:

z₁ = 8(cos 45° + isin 45°)

z₂ = 4(cos 210° + isin 210°)

We add the arguments and multiply the magnitudes to find z₁z₂:

Magnitude of z₁ = 8

Magnitude of z₂ = 4

Argument of z₁ = 45°

Argument of z₂ = 210°

Now, let's calculate z₁z₂:

Magnitude of z₁z₂ = (Magnitude of z₁) × (Magnitude of z₂) = 8 × 4 = 32

Argument of z₁z₂ = (Argument of z₁) + (Argument of z₂) = 45° + 210° = 255°

Therefore, z₁z₂ = 32(cos 255° + isin 255°).

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The correct question =

Given z₁ = 8(cos 45° + isin 45°) and z₂ = 4(cos 210° + isin 210°), what is z₁z₂?