the relative approximate error at the end of an iteration to find the root of an equation is 0.004% . the least number of significant digits we can trust in the solution is

Answers

Answer 1

The least number of significant digits we can trust in the solution is 2.

The relative approximate error (RAE) of 0.004% gives us an indication of the precision of the solution at the end of an iteration, but it does not directly indicate the number of significant digits that can be trusted in the solution.

In general, the number of significant digits that can be trusted in a solution depends on several factors, such as the accuracy of the initial guess, the choice of method for finding the root, and the behavior of the function being evaluated.

As a rough estimate, it is common to assume that the number of significant digits in the solution is equal to the number of significant digits in the RAE, minus one.

In this case, the RAE is 0.004%, which has three significant digits, so the least number of significant digits we can trust in the solution would be

three - 1 = 2 significant digits

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Related Questions

Meghan sells handmade sweaters and hats at her store. Let A represent the event that a randomly selected customer buys hat, and let B

represent the event that a randomly selected customer buys a sweater.

What does the notation P(AJB) represent in terms of the context?

A the probability that a customer buys a hat or a sweater

B the probability that a customer buys both a hat and a sweater

C the probability that a customer buys a hat given that the customer has bought a sweater

D the probability that a customer buys a sweater given that the customer has bought hat

Answers

Answer:

Step-by-step explanation:

C the probability that a customer buys a hat given that the customer has bought a sweater.

Pls help me I need it urgently but please give right answer

Pls help me I need it urgently but please give right answer

Answers

Answer:

Hello your handwriting is bad I don't understand

WILL BRAINLIST
45 points

Drag each tile to the correct box. Not all tiles will be used.
Simplify the expression by arranging the steps in sequence, based on the order of operations,

WILL BRAINLIST45 pointsDrag each tile to the correct box. Not all tiles will be used.Simplify the expression

Answers

it’s only 5 points disappointing

in the chi-square test of independence, large values of the chi-square test statistic indicate a cause/effect relationship between the two categorical variables.
true
false

Answers

The given statement " in the chi-square test of independence, large values of the chi-square test statistic indicate a cause/effect relationship between the two categorical variables. " is false.

In math chi square test means the process of determine if there is a significant relationship between two nominal (categorical) variables.

Here we have the statement, in the chi-square test of independence, large values of the chi-square test statistic indicate a cause/effect relationship between the two categorical variables.

And we need to find the statement is true or not.

According to the definition of chi square test, we know that it checks whether two variables are likely to be related or not.

Here we have counts for two categorical or nominal variables.

So, there is no large value comparision take palce.

Therefore, the statement is false.

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If two sides in a triangle are congruent, the angles opposite the congruent sides are congruent angles.

True or False

Please make an answer and give brainliest and more points to 100 need it please!
Thank you

Answers

Answer:

True

Step-by-step explanation:

Two triangles are congruent if they satisfy any of the following:

Two sides and the included angle of one triangle equal to the corresponding parts of the other one.

Two angles and the included side of one triangle equal to the corresponding parts of the other one.

All three sides of one triangle equal to the corresponding parts of the other one.

They are right triangles, and hypotenuse and one leg of one triangle equal to the corresponding parts of the other one.

They are right triangles, and hypotenuse and one acute angle of one triangle equal to the corresponding parts of the other one.

Therefore, the answer is true.

Nice Question

Answer To It is True

Reason:- According To Isosceles Triangle Theorem:-

If two angles of a triangle are congruent, then sides opposite those angles are congruent.

Hope This Helps You ❤️

Write the slope-intercept form of a linear equation given the slope and y-intercept.

Slope : -4/3
y-intercept: -3

Write the slope-intercept form of a linear equation given the slope and y-intercept.Slope : -4/3y-intercept:

Answers

Answer:

y= mx+c (m-slope, c- y intercept)

y= (-4/3) x - 3

or, y= (-4x-9)/3

or, 3y = -4x -9 (you can leave it here)

or, 4x +3y=-9

or, 4x+3y+9 = 0

the last three equations are all valid answers.

what is the sum of each distinct prime factor of 9999?

Answers

The distinct prime factors of 9999 are 3, 11, and 101. So the sum of each distinct prime factor of 9999 is 115.

To find the sum of the distinct prime factors of 9999, we first need to factorize 9999 into its prime factors.

9999 can be factorized as follows:

9999 = 3 * 3333

= 3 * 3 * 1111

= 3 * 3 * 11 * 101

So, the distinct prime factors of 9999 are 3, 11, and 101.

The sum of these distinct prime factors is:

3 + 11 + 101 = 115

Therefore, the sum of each distinct prime factor of 9999 is 115.

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Mark, anthony, and derek, are going on a road trip and will take turns driving the car. they need to decide who will drive first. which method assures that each of the three friends has a fair chance of being selected to drive first?

Answers

To ensure that each of the three friends has a fair chance of being selected to drive first on their road trip, they can use the method of flipping a coin. Here's a step-by-step explanation:
1. Mark, Anthony, and Derek can gather together and agree to use a coin flip method to determine who will drive first.
2. They can designate one person to be the flipper, who will toss the coin into the air.
3. Before flipping the coin, they should establish what each side of the coin represents. For example, they can agree that heads means Mark drives first and tails means Anthony drives first.
4. The flipper then tosses the coin into the air, allowing it to spin and fall back down.
5. Once the coin lands, they can check the result and determine who will drive first based on the agreed-upon assignment for each side of the coin.
6. If Mark and Anthony are not selected to drive first, it automatically means that Derek will be the one to drive first.

Using the coin flip method ensures fairness because it provides an equal chance for each friend to be selected. It relies on chance rather than personal preferences or biases, making it an unbiased way to decide who will drive first on their road trip.

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uppose a person sitting in the front, middle portion of the class is randomly selected to answer a question. find the probability that the person selected is female.

Answers

There is a 50% chance that the person selected is female.

Let's assume that there are 50 students in the class and of them, 25 are female and 25 are male.

The probability that the person selected is female will be calculated by the formula P(Female) = 25/50 = 0.5

Therefore, the probability that the person selected is female is 0.5 or 50%. This means that if a person is randomly selected from the front, middle portion of the class, there is a 50% chance that the person selected is female.

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Complete question:

What is the gender ratio of the people in the class?

Can someone do this plsssss I need it for right now

Can someone do this plsssss I need it for right now

Answers

Answer:

C

Step-by-step explanation:

If you count the hours by how much each answer choice is giving you, you will get the answer. (First job is 4 hours and a few mins. Answer choice C is $6 an hour. So 4 times 6 is 24 plus the extra minutes.)

I. Use the Cauchy-Euler Method to solve the homogeneous differential equation; Show all of your work x^2 y'' 9xy' 12y

Answers

The solution to the homogeneous differential equation x^2y'' + 9xy' + 12y = 0 using the Cauchy-Euler method is given by y(x) = c1x^(-2) + c2x^(-6).

To solve the homogeneous differential equation using the Cauchy-Euler method, we'll first assume a solution of the form y = x^r, where r is a constant to be determined.

1. Start by finding the first and second derivatives of y:

  y' = rx^(r-1)

  y'' = r(r-1)x^(r-2)

2. Substitute the derivatives back into the differential equation:

  x^2y'' + 9xy' + 12y = 0

  x^2[r(r-1)x^(r-2)] + 9x(rx^(r-1)) + 12(x^r) = 0

3. Simplify the equation:

  r(r-1)x^r + 9rx^r + 12x^r = 0

4. Combine like terms:

  (r^2 - r + 9r + 12)x^r = 0

5. Factor out x^r:

  (r^2 + 8r + 12)x^r = 0

6. Set the expression in parentheses equal to zero:

  r^2 + 8r + 12 = 0

7. Solve the quadratic equation using factoring or the quadratic formula:

  (r + 2)(r + 6) = 0

  This gives two possible values for r:

  r + 2 = 0  -->  r = -2

  r + 6 = 0  -->  r = -6

8. Write down the general solution using the roots found in step 7:

  y(x) = c1x^(-2) + c2x^(-6)

  Here, c1 and c2 are arbitrary constants that can be determined based on initial conditions or additional constraints.

Thus, the solution to the homogeneous differential equation x^2y'' + 9xy' + 12y = 0 using the Cauchy-Euler method is given by y(x) = c1x^(-2) + c2x^(-6).

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An equivalent form for a conditional statement is obtained by reversing and negating the antecedent and consequent. true or false

Answers

False. The statement you described is not an equivalent form for a conditional statement. The process you mentioned, which is reversing and negating the antecedent and consequent, is known as forming the contrapositive of the statement.



A conditional statement has the form "If P, then Q," where P is the antecedent and Q is the consequent. The contrapositive is formed by negating both the antecedent and consequent, and reversing their order: "If not Q, then not P." The contrapositive is equivalent to the original conditional statement.

However, simply reversing the antecedent and consequent without negating them gives you the converse, which is "If Q, then P." The converse is not equivalent to the original conditional statement.

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amelia's boat travels 35 miles per hour. the best fishing spot in the lake is 27 miles away from her starting point. if she drives her boat for 2/3 of an hour, will she make it to the best fishing spot on the lake?

Answers

Yes, Amelia will make it to the best fishing spot on the lake if she drives her boat for 2/3 of an hour. To determine this, we can use the formula: distance = rate x time.

Amelia's boat travels 35 miles per hour, so her rate is 35 mph. She drives her boat for 2/3 of an hour, so her time is 2/3 hour.

Using the formula, we can find the distance that Amelia's boat travels:

distance = rate x time

distance = 35 mph x (2/3) hour

distance = 23.33 miles

Amelia's boat travels 23.33 miles in 2/3 of an hour. Since the best fishing spot is 27 miles away from her starting point and she has already traveled 23.33 miles, she is only 3.67 miles away from the best fishing spot.

Therefore, Amelia will make it to the best fishing spot on the lake if she drives her boat for 2/3 of an hour. She will only be a short distance away from the fishing spot, so she can easily reach it by driving her boat a little further.

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find the equation of the line that has a gradient of 2 and passes through the point (-3,3)​

Answers

Answer:

\(y = 2x + 9\)

Step-by-step explanation:

It is given that the slope of the line is 2, and it passes through (-3 , 3). The equation of straight lines is y = mx + b, in which:

y = (x , y) = 3

m = slope (gradient) = 2

x = (x , y) = -3

b = y-intercept

~

Plug in the corresponding numbers to the corresponding variables:

y = mx + b

3 = (2)(-3) + b

First, multiply -3 with 2:

\(3 = (2)(-3) + b\\3 = (2 * -3) + b\\3 = -6 + b\)

Next, isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Add 6 to both sides of the equation:

\(3 = b - 6\\3 (+6) = b - 6 (+6)\\b = 3 + 6\\b = 9\)

Plug in 2 for slope, and 9 for y-intercept, in the given equation:

\(y = mx + b\\m = 2\\b = 9\\\)

\(y = 2x + 9\) is your answer.

~

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Monica rode her bike 35 kilometers in 2.5 hours. What was her average speed

Answers

Answer:

14 kilometers

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

35÷2.5=14

have a goodnight

Can someone plssssss help me

Can someone plssssss help me

Answers

Answer:

Mathematics includes the study of such topics as quantity, structure, space, and change. It has no generally accepted definition. Mathematicians seek and use patterns to formulate new conjectures; they resolve the truth or falsity of such by mathematical proof.

Step-by-step explanation:

Mathematics is the study of numbers, shapes and patterns. The word comes from the Greek word "μάθημα" (máthema), meaning "science, knowledge, or learning", and is sometimes shortened to maths (in England, Australia, Ireland, and New Zealand) or math (in the United States and Canada). ... Numbers: how things can be counted.

What is the greatest common factor of 50, 40, and 20?

Answers

Answer:

10

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The gcf is 10

Step-by-step explanation:

Adam bought granola bars at the store. The
expression 6p + 5n gives the number of bars
in p boxes of plain granola bars and n boxes of
granola bars with nuts. What are the terms of
the expression?

Answers

The terms are 6p and +5p

You just ate the "Big Breakfast with Hotcakes" which has 1090 Calories. How many miles do you need to walk to burn off all the Calories from breakfast? Assume that you can burn 418 kJ/mile from walking. (1 Calorie =4.184 kJ )

Answers

You would need to walk approximately 11 miles to burn off all the calories from the "Big Breakfast with Hotcakes

To calculate the number of miles you need to walk to burn off all the calories from breakfast, we can use the following steps:

1. Convert the provided calorie value to kilojoules:

  Calories = 1090

  1 Calorie = 4.184 kJ

  Energy in kilojoules = Calories * 4.184 kJ/Calorie

  Energy in kilojoules = 1090 * 4.184 kJ/Calorie

2. Determine the amount of energy burned per mile:

  Energy burned per mile = 418 kJ/mile

3. Divide the total energy from breakfast by the energy burned per mile to obtain the number of miles needed to be walked:

  Miles = Energy in kilojoules / Energy burned per mile

  Miles = (1090 * 4.184 kJ/Calorie) / 418 kJ/mile

Simplifying the expression:

  Miles = (1090 * 4.184 kJ/Calorie) / 418 kJ/mile

  Miles = 11

Hence, in order to eliminate the calories consumed from the "Big Breakfast with Hotcakes," you would have to walk for about 11 miles.

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Understanding the ConceptsIn Exercises 7 and 8, fill in each blank with the appropriate word or phrase.7. To perform a t-test when the sample size is small, the sample must show no evidence of strong and must contain no .

Answers

Answer:

7. To perform a t-test when the sample size is small, the sample must show no evidence of strong skewness and must contain no outliers.

Step-by-step explanation:

These are the two conditions required for performing a t test

- Sample Size: A small sample size can reduce the statistical power of a t-test, making it more challenging to detect significant differences between groups. Generally, a larger sample size is desirable to obtain more reliable and representative results.

- Skewness: Skewness refers to the asymmetry of the distribution of data. In a t-test, assuming normality of the data is important for accurate results. If the data exhibits strong skewness, the assumption of normality may be violated. In such cases, alternative non-parametric tests or transformations of the data may be more appropriate.

- Outliers: Outliers are extreme values that significantly differ from the rest of the data. They can have a disproportionate impact on the results of a t-test, particularly when the sample size is small. Outliers can distort the mean and affect the assumptions of normality and homogeneity of variance.

While the presence of skewness or outliers does not prohibit the use of a t-test with a small sample size, it is important to interpret the results with caution and consider alternative approaches if necessary. Robust statistical methods, such as non-parametric tests or bootstrapping, can be useful when dealing with non-normal or outlier-prone data, especially with small sample sizes. Additionally, visual inspection of the data distribution, such as through histograms or box plots, can help identify potential skewness or outliers.

suppose that foreign citizens decide to purchase more u.s. pharmaceuticals and u.s. citizens decide to buy stock in foreign corporations. other things the same, these actions

Answers

Suppose that foreign citizens decide to purchase more U.S. pharmaceuticals and U.S. citizens decide to buy stock in foreign corporations. Other things being the same, these actions would lead to an increase in demand for U.S. pharmaceuticals and a decrease in demand for U.S. stocks, leading to changes in the relative prices of these assets.

An increase in demand for U.S. pharmaceuticals would lead to higher prices for these products, assuming that the supply of pharmaceuticals remains constant. This increase in demand could benefit U.S. pharmaceutical companies, as they would be able to charge higher prices for their products, resulting in increased revenues and profits. However, higher prices could also result in reduced affordability and access to these products for U.S. consumers.

On the other hand, a decrease in demand for U.S. stocks could lead to lower prices for these securities, assuming that the supply of foreign stocks remains constant. This decrease in demand could negatively impact U.S. investors who hold these stocks, as the value of their holdings would decline. However, it could also lead to increased investment in foreign corporations, potentially benefiting these companies and the economies in which they operate.

Overall, the actions of foreign and U.S. citizens can significantly affect the prices of different assets and the performance of various industries and economies. Understanding these relationships and dynamics is important for investors and policymakers in making informed decisions about investment and trade.

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Find the distance between the two points. (-1, 6). (2.8)
Round to the nearest hundredth

Answers

The distance between the two points. (-1, 6). (2.8) is 3.61 units

How to determine the distance?

The points are given as: (-1,6) and (2,8)

The distance is calculated using:

\(d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}\)

This gives

\(d = \sqrt{(-1 -2)^2 + (6 -8)^2}\)

Evaluate the sum of squares

\(d = \sqrt{13}\)

Evaluate the exponent

d = 3.61

Hence, the distance between the two points. (-1, 6). (2.8) is 3.61 units


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Can someone explain to me how to do this I don’t know how to do it

Can someone explain to me how to do this I dont know how to do it

Answers

Answer:

graph the function and for the points, look at the x values and then you'll find their y values  in the function u graphed.

Step-by-step explanation:

Or plug in the values for x. (ONE AT A TIME!) and solve it that way.

Hope this helps.

Gwen runs back and forth along straight track: During the time interval 0 < t < 45 seconds, Gwens 250ain velocity; In feet per second, is modeled by the function given by v (t) What is the first time;t1 , that Gwen changes direction? Find Gwens average velocity over the time interval 0 < t

Answers

The average velocity of Gwen over the time interval 0 < t is zero. We need to solve the equation:250sin(πt/45) = 0Solving for t, we get:πt/45 = nπwhere n is an integer.

Given that Gwen runs back and forth along a straight track and her velocity, in feet per second, is modeled by the function v(t) during the time interval 0 < t < 45 seconds; We are to determine the first time at which Gwen changes direction and find her average velocity over the time interval 0 < t.Firstly, we know that velocity is a vector quantity and has both magnitude and direction.

Since she is running back and forth along a straight track, her displacement at any given time t is given by the function s(t), which is the integral of her velocity function v(t).That is, s(t) = ∫v(t)dtWe can find the displacement by taking the definite integral of v(t) from 0 to t. Since Gwen is running back and forth, her displacement will be zero at the times when she changes direction.

Therefore, we need to solve the equation:250sin(πt/45) = 0Solving for t, we get:πt/45 = nπwhere n is an integer. Therefore,t = 45n/πwhere n is an integer. Since we are looking for the first time at which Gwen changes direction, we need to take the smallest positive value of n, which is n = 1.

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f(x) = (x + 1)(x - 3)(x-4)​

Answers

Dhdusushsussususuzuzusususuzusus sksisisisis sisisisisis saisisisisis sisisisisd dksisidisd disisisis ssididjdjd

Yusuf and some friends are going to the movies. At the theater, they sell a bag of popcorn for $4 and a drink for $3.25. How much would it cost if they bought 4 bags of popcorn and 8 drinks? How much would it cost if they bought p bags of popcorn and d drinks? Total cost, 4 bags of popcorn and 8 drinks: Total cost, p bags of popcorn and d drinks:

Answers

Answer:

$42 would be the correct answer.

I’ll give the Brainliest to who answers this question with a reasonable explanation.

Thank you.

Ill give the Brainliest to who answers this question with a reasonable explanation.Thank you.

Answers

Answer:

B: 10

Step-by-step explanation:

The angle measures are all multiplied by 2.

I believe the answer should the 10.

Looking at the two given triangles, the singular line in the bottom left triangles means that the angles are the same. As to the corner seen in cornerF and cornerC, and cornerD with cornerA. Knowing that all of the angles in the triangle are the same, means that the side lengths should all be generally on the same scale.

With triangle DEF, this triangle got scaled up by 2. This can be seen from line AB and line DE. AB was multiplied by two, in order to get line DE, which is 8. Apply the x2 rule to lines DF and EF, and the unknown "e" turns into 10. Unkown "d" turns into 12.

Graph the point that has the coordinates .

Answers

Answer:

urlkun89   The picture you were asking for is...

Step-by-step explanation:

Graph the point that has the coordinates .

Which best describes a random sample?
A.) a sample in which the elements are chosen by chance
B.) a sample in which the chosen elements are predetermined
C.) a sample in which each element of the populations chose
D.) a sample in which the chosen elements are removed from the population once they are chisen

Answers

A random sample  is a sample in which the chosen elements are removed from the population once they are chosen.

What is a random sample?

A sample is a smaller group of the population that has the desired elements of the population. A sample is sometimes necessary because it might not be feasible or cost effective to access the whole population.

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1. Are 5:3 and 10:6 equivalent ratios?

Answers

Answer:Yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

5/3 10/6

10 divide by 2 = 5

6 divide by 2 = 3

leads to

5:3

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