Determine whether the distribution represents a probability distribution. X 3 6 0.3 0.4 P(X) Oa. Yes b. No 9 0.3 0.1

Answers

Answer 1

The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

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Related Questions

A figure has vertices at A(—3, 2), B(—l, —l), and C(—4, —2). After a transformation,the image of the figure has vertices at A'(3, 2), B'(l, —l), and C'(4, —2). Draw the preimage and image. Then identify the transformation

Answers

Answer:

rotate 180° about origin

The preimage and image of the figure are given below. The transformation rule that is applied is (x, y) → (-x, y).

Given a triangle with vertices A(—3, 2), B(—l, —l), and C(—4, —2), which is preimage. Further, an image is created of this triangle that has vertices at A'(3, 2), B'(l, —l), and C'(4, —2). As shown in the given figure.

Now, as per the image and preimage in the given graph. The image is the reflection of the preimage about the y-axis. This can be verified as when the image and preimage are reflected about the y-axis the vertices change as:

(x, y) → (-x, y)

A(-3, 2) → A'(3,2)

B(-1, -1) → B'(1, -1)

C(-4, -2) → C'(4,-2)

Hence, the transformation rule is (x, y) → (-x, y).

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A figure has vertices at A(3, 2), B(l, l), and C(4, 2). After a transformation,the image of the figure

HELP WILL MARK YOU BRAINLIEST, PLS I NEED ASAP

HELP WILL MARK YOU BRAINLIEST, PLS I NEED ASAP

Answers

Answer:

Pizza 1: lenght(l)=16 and width(w)=4

Perimeter=40in.

Pizza 2: l=32 and w=2

Perimeter=68in.

Step-by-step explanation:

1. List down factors of 64.

64=1,2,4,8,16,32,64

2. Select the factors you'll be using to draw your rectangles. In this case I selected the factors 2,4,16 and 32 because area of rectangle=l×w. Therefore 2×32=64 and 4×16=64.

3. Draw your rectangles according to the measurements you chose. If the drawing is too big to fit the box you can simply use a scale. Such as 1 inch=4 inches on your drawing. For example, when drawing the length of the second Pizza which is 32in. you can simply draw a line of 8 inches.

4. After drawing your pizzas you niw have to find the Perimeter of both. Simply use the formula Perimeter of a rectangle=2(l+w)

Pizza 1: Perimeter=2(16+4)

=2×20

=40in.

Now do the same for Pizza 2 using its own lengjt and width. Hope this helped.

Dora rents a party room for $70. She pays $5 per guest for
party favors. The expression 70+5g represents the total
cost for a party with g guests. Find the total cost for a party
with 9 guests.

Answers

Answer: $115

Step-by-step explanation:

From the question, we are informed that the expression that represents the total cost for a party with g guests was given as:

= 70 + 5g

Therefore, the total cost for a party

with 9 guests will be:

= 70 + 5g

= 70 + 5(9)

= 70 + 45

= $115

valencia theater sold 487 tickets for a play. tickets cost $14 per student with valid valencia identification and $25 per non-student. if total receipts were $8391, how many valencia student tickets and non-student tickets were sold?

Answers

354 Valencia student tickets and 133 non-student tickets were sold.

Let's use algebra to solve the problem. Let

x be the number of Valencia student tickets sold

y be the number of non-student tickets sold

We know that

x + y = 487 (the total number of tickets sold is 487)

14x + 25y = 8391 (the total receipts from ticket sales is $8391)

We can use the first equation to express one of the variables in terms of the other. For example, we can solve for y

y = 487 - x

Here we have to use the substitution method, we can then substitute this expression for y into the second equation

14x + 25(487 - x) = 8391

Simplifying and solving for x

14x + 12275 - 25x = 8391

-11x = -3884

x = 354

So, 354 Valencia student tickets were sold. We can use the first equation to find y

x + y = 487

354 + y = 487

y = 133

So, 133 non-student tickets were sold.

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Rewrite as a whole number.
80/8

Answers

Answer:

10

Step-by-step explanation:

Harper has $14 in her piggy bank. Her mom pays her $12 for chores. How much does Harper now have in the piggy bank?

Answers

Answer:

26

Step-by-step explanation:

14+12=26

1+1=2

4+2=6

Answer:

$26

Step-by-step explanation:

Here is the explanation for this problem.

Harper Starts off with 14 in her piggy bank, then gets payed for chores ($12)

14+12 =26

(Simplfying It down)

10 + 10 = 20

4 + 2 = 6

20 + 6 = 26

Her total amount of money is $26

(Hope this helps luv)

-TheAnimeCatUwU

The table shows the number of miles each person ran this week. Who ran more miles by end of the week . Who ran more miles by end of the week? How many more?

Answers

Pat ran more miles by the end of the week with a total of 8.25 miles. Pat ran 0.5 miles more than Toby.

Describe Algebra?

Algebra is a branch of mathematics that deals with mathematical expressions and equations, using letters and symbols to represent numbers and quantities. It involves the manipulation and solving of equations and inequalities involving variables.

In algebra, variables are represented by letters, usually x, y, or z, and they can represent any number or quantity. Algebraic expressions are formed by combining variables, numbers, and mathematical operations, such as addition, subtraction, multiplication, and division.

To determine who ran more miles by the end of the week, we need to calculate the total number of miles each person ran. We can do this by adding up the miles from each day:

Pat: 2.75 + 3 + 2.5 = 8.25 miles

Toby: 2 + 2.25 + 3.5 = 7.75 miles

Therefore, Pat ran more miles by the end of the week with a total of 8.25 miles. Pat ran 0.5 miles more than Toby.

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The complete question is:

The table shows the number of miles each person ran this week. Who ran more miles by end of the week

What is i^34?

A. -1
B. i
C. -i
D. 1

Answers

Answer:

A

Step-by-step explanation:

i to an odd power is 1 and i to an even power is -1 so you can see it is A

Reason A bread recipe requires that teaspoon of yoast be added to flour and water. Alejandro only has a teaspoon measuring spoon. How many measuring spoons of yeast will he need to add to the flour and water? Explain your reasoning.

Answers

5/8 teaspoon yeast is to be added

Can you show me how to do it step by step and find what x=?

Can you show me how to do it step by step and find what x=?

Answers

Answer:

11.2 hours

Step-by-step explanation:

The unknown is the hour time: 120+50.30x=250+38.70x. Now solve it: Subtract 38.70 and 120 from both sides and you get 11.6x=130 x=130/11.6 or 11.2 (about)

So the answer is 11.2 hours. Hope this helps :D

Answer:

So your answer is x = 11.2068965517

or

about, X = 11.21 (to the nearest tenth)

Step-by-step explanation:

50.30x + 120 = 38.70x + 250 (Given)

Move variables to the right and constants to the left by subtracting both sides.

11.6x = 130 (subtraction Property of equaity)

x = 11.2068965517 (Division property of equality)

Translate the sentence into an equation.
Twice the difference of a number and 8 equals 6.

Answers

Answer:

2(n-8)=6

n = 11

How could you write the numerical expression “4x + 1.25” in words?

Answers

X multiplied by 4 plus 1.25

https://files-cdn.schoology.com/eff1043385e13ac014eaf6e69f84525b?content-type=app

Answers

Answer:

srry i need points

Step-by-step explanation:

Answer:k

Step-by-step explanation:

k

Michael Phelps is one of the most decorated swimmers of all time. He has an incredible 23 gold medals. In the 2016 Olympics Michael Phelps finished ⅖ of his butterfly gold medal race, in 2 ½ minutes. Select the equation(s) that would solve how many minutes he finished the complete race in.

Answers

Answer:

6 1/4 minutes

Step-by-step explanation:

Let the time of the complete race be x.

Then we have the following equation:

2/5x = 2 1/22/5x = 5/2x = 5/2 ÷ 2/5x = 5/2 × 5/2x = 25/4x = 6 1/4 minutes

Answer: 6 1/4 minutes

Step-by-step explanation:

3/4=m+1/4
What is m

Answers

Answer:

m = 1/2

Step-by-step explanation:

We need to solve the equation:

3/4 = m + 1/4

In order to solve for m, we must isolate the variable - in other words, we need to move all the m terms to one side and all the non-m terms to the other.

So, subtract 1/4 from both sides to isolate m:

3/4 - 1/4 = m

m = 2/4 = 1/2

Thus, m = 1/2.

~ an aesthetics lover

what is $0.4\overline 8 0.\overline{37}$? express your answer as a common fraction in lowest terms.

Answers

The answer of the given expression as a common fraction in lowest terms is  437/495  .

In the question ,

it is given that ,

the expression is 0.4overline 8 + overline 0.37 ,

that can be written as \(0.4\overline{8}\) + \(0.\overline{37}\)

On further simplifying the above expression further ,

we get ,

= (48 - 4)/90 + 37/99

= 44/90 + 37/99

taking the LCM of 90 and 99 as 990 and solving further ,

we get ,

= 484/990 + 390/990

= ( 484 + 390 )/990

= 874/990

in lowest form it is = 437/495 .

Therefore , the answer to the expression is  437/495  .

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an explanation of an event that is based on repeated observations and experiments is a

Answers

An explanation of an event that is based on repeated observations and experiments is a scientific theory

A thorough, well-researched explanation of a natural occurrence constitutes a scientific theory.

We frequently use the word "theory" to refer to a hypothesis or informed guess in common speech, but in science, a theory is an explanation that is the result of a substantial and repeated investigation. The purpose of theories is to explain a broad concept; they are not intended to establish facts

Some of the most well-known and complicated events are explained by scientific theories. The theories of relativity, evolution, and gravity are a handful of the most well-known scientific concepts.

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If the sum of an infinite geometric series is \( \frac{15625}{24} \) and the common ratio is \( \frac{1}{25} \), determine the first term. Select one: a. 625 b. 3125 c. 25 d. 125

Answers

The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.

We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).



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It is known that 10 workers take 30 days to complete a project. They start working and the next day one quits. the next another, the third day another, and so on until the sixth day when they are left alone 5 workers. How many days will it take those 5 workers to finish the job?​

Answers

Answer:

5 workers finish this work in 60 days

Step by step explanation:

The problem tells us that at the end of the day, there are only 5 workers left, which we must find how many days it takes to finish said work.

We start by finding the type of proportionality we have.

In this case, we have that the more workers there are, they will finish that work in less time, and the fewer workers there are, the longer it will take to finish the work. This is the inverse proportionality, to more less, to less more.

We have only 5 workers left.

In the first case there are 10 workers, and in the second case there are 5 workers left. We find the relationship between the workers in the second case among the workers in the first case.

Ratio = 5 workers / 10 workers = 1/2

We see that the time is found by dividing the number of days in which the 10 workers finish the work, by 1/2.

As we know, dividing two fractions is the SAME as multiplying by the inverse fraction.

\(\rm 30 * 2/1 \: = 60 \: days\)

By so

5 workers finish this work in 60 days

What are the major differences among the three methods for the evaluation of the accuracy of a classifier: (a) hold-out method, (b) cross-validation, and (c) bootstrap?

Answers

The three methods for the evaluation of the accuracy of a classifier are Hold-out method, Cross-validation, and Bootstrap. The major differences among the three methods are explained below:a) Hold-out method:This method divides the original dataset into two parts, a training set and a test set.

The training set is used to train the model, and the test set is used to evaluate the model's accuracy. The advantage of the hold-out method is that it is simple and easy to implement. The disadvantage is that it may have a high variance, meaning that the accuracy may vary depending on the particular training/test split.b) Cross-validation:This method involves dividing the original dataset into k equally sized parts, or folds. This process is repeated k times, with each fold used exactly once as the test set.

The advantage of cross-validation is that it provides a more accurate estimate of the model's accuracy than the hold-out method, as it uses all of the data for training and testing. The disadvantage is that it may be computationally expensive for large datasets, as it requires training and testing the model k times.c) Bootstrap:This method involves randomly sampling the original dataset with replacement to generate multiple datasets of the same size as the original. A model is trained on each of these datasets and tested on the remaining data.

In conclusion, the hold-out method is the simplest and easiest to implement, but may have a high variance. Cross-validation and bootstrap are more accurate methods, but may be computationally expensive for large datasets.

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Under what condition is it NOT possible for an integer a to be divided ​by an integer b ?

Answers

Answer:

An integer, a, cannot be divided by an integer, b, when \(b=0\)

Step-by-step explanation:

There is only one limitation when dividing two numbers. This is that you cannot divide a number by 0 as it is impossible to divide something into 0 groups.

As the integer, b, is the number that symbolized the number of groups something is divided into, this value cannot be 0.

is x^2+y^2=5 a function? why or why not?

Answers

Answer:

No.

Step-by-step explanation:

A function must past the Vertical Line Test. We know that our equation x² + y² = 5 is a circle, and so some x-values have the same y-values, etc. Since not every x-value has its own y-value, our equation is not a function.

We can see this using a graph:

Since the vertical line test passes 2 points with the same x-value, it is not a function.

is x^2+y^2=5 a function? why or why not?

Maura spends $5.50 in materials to make a scarf. She sells each scarf for 600% of the cost of materials.
Complete the sentence by selecting the correct word from the drop down choices.
Maria sells each scarf for Choose... ✓ or

Maura spends $5.50 in materials to make a scarf. She sells each scarf for 600% of the cost of materials.Complete

Answers

The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.

How to calculate the selling price of each scarf?

To calculate the amount of money that Maura spends on each scarf the following is carried out.

The amount of money that she spends on the scarf material = $5.50

The percentage selling price of each scarf = 600% of $5.50

That is ;

= 600/100 × 5.50/1

= 3300/100

= $33.

Therefore, each price that is sold by Maura would probably cost a total of $33.

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Solve for g.
-3 – 5 – 69 = 11 – 3g

Answers

Answer:

g=88/3

Step-by-step explanation:

help!!!!!!!!!!!!!!!!!!!!!!

help!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

6 ≤x

Step-by-step explanation:

12 + 11/6x ≤ 5+3x

Subtract 11/6x from each side

12 + 11/6x - 11/6x ≤ 5+3x-11/6x

Subtract 5 from each side

12 + 11/6x - 11/6x -5 ≤ 5+3x-11/6x-5

7 ≤ 3x-11/6x

Get a common denominator

7 ≤ 18/6x-11/6x

7 ≤7/6x

Multiply each side by 6/7

6/7 *7 ≤ 6/7 *7/6x

6 ≤x

a force of 1 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. how much work (in foot-pounds) is done in stretching the spring from its natural length to 0.6 feet beyond its natural length?

Answers

To stretch a spring from its natural length to 0.6 feet beyond its natural length, a work of 0.36 foot-pounds is required.

The work done in stretching a spring is equal to the area under the force-extension graph. Since the force required to hold the spring stretched 0.2 feet beyond its natural length is 1 pound, we can assume that the force required to stretch the spring from its natural length to 0.6 feet beyond its natural length is directly proportional to the extension. Therefore, the force required to stretch the spring 0.4 feet beyond its natural length is 2 pounds.

To calculate the work done in stretching the spring from 0.2 feet beyond its natural length to 0.6 feet beyond its natural length, we can use the formula for work:

Work = Force x Distance

Since the force required to stretch the spring 0.4 feet beyond its natural length is 2 pounds, and the distance over which the force is applied is 0.4 feet, the work done is:

Work = 2 x 0.4 = 0.8 foot-pounds

Therefore, the work done in stretching the spring from its natural length to 0.6 feet beyond its natural length is:

0.8 - 0.2 = 0.6 foot-pounds.

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which of the following triple integrals would have all constant bounds when written in cylindrical coordinates? select all that apply.

Answers

The only triple integral that has all constant bounds when written in cylindrical coordinates is the second one, i.e., ∭x2 + y2 dV.

In cylindrical coordinates, a triple integral is given by ∭f(r, θ, z) r dz dr dθ.

To have constant bounds, the limits of integration must not contain any of the variables r, θ, or z. Let's see which of the given triple integrals satisfy this condition.

The given triple integrals are:

a) ∭xyz dVb) ∭x2 + y2 dVc) ∭(2 + cos θ) r dVd) ∭r3 sin2 θ cos θ dV

To determine which of these integrals have all constant bounds, we must express them in cylindrical coordinates.

1) For the first integral, we have xyz = (rcosθ)(rsinθ)(z) = r2cosθsinθz.

Hence, ∭xyz dV = ∫[0,2π]∫[0,R]∫[0,H]r2cosθsinθzdzdrdθ.

The limits of integration depend on all three variables r, θ, and z.

So, this integral doesn't have all constant bounds.

2) The second integral is given by ∭x2 + y2 dV.

In cylindrical coordinates, x2 + y2 = r2, so the integral becomes ∫[0,2π]∫[0,R]∫[0,H]r2 dzdrdθ.

The limits of integration don't contain any of the variables r, θ, or z.

Hence, this integral has all constant bounds.

3) For the third integral, we have (2 + cos θ) r = 2r + rcosθ. Hence, ∭(2 + cos θ) r dV = ∫[0,2π]∫[0,R]∫[0,H](2r + rcosθ)r dzdrdθ.

The limits of integration depend on all three variables r, θ, and z. So, this integral doesn't have all constant bounds.

4) The fourth integral is given by ∭r3 sin2θ cosθ dV. In cylindrical coordinates, sinθ = z/r, so sin2θ = z2/r2.

Also, cosθ doesn't depend on r or z. Hence, the integral becomes ∫[0,2π]∫[0,R]∫[0,H]r3z2cosθ dzdrdθ.

The limits of integration depend on all three variables r, θ, and z. So, this integral doesn't have all constant bounds.

Therefore, the only triple integral that has all constant bounds when written in cylindrical coordinates is the second one, i.e., ∭x2 + y2 dV.

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5x^4-24x^3 24x^2 17 is concave down for_______.

Answers

The given function is 5x^4-24x^3+24x^2+17. In order to determine where the function is concave down, we need to find its second derivative. The second derivative of the function is 60x^2-144x+48. To determine where the function is concave down, we need to find the values of x for which the second derivative is negative. Using the quadratic formula, we find that the roots of the second derivative are x=1 and x=4/5. Thus, the function is concave down for x values between 1 and 4/5.

To find whether a function is concave up or down, we need to look at its second derivative. If the second derivative is positive, the function is concave up. If the second derivative is negative, the function is concave down. In this case, we have found that the second derivative is 60x^2-144x+48. To find where the function is concave down, we need to find the values of x for which this second derivative is negative. We can do this by finding the roots of the quadratic equation 60x^2-144x+48=0. Using the quadratic formula, we find that the roots are x=1 and x=4/5. Thus, the function is concave down for x values between 1 and 4/5.

The function 5x^4-24x^3+24x^2+17 is concave down for x values between 1 and 4/5. This means that the function is curving downwards in this interval. It is important to note that this is just one piece of information about the behavior of the function, and we would need to analyze other aspects of the function, such as its critical points and end behavior, to get a complete understanding of its behavior.

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what's the answer to 7n - 7 = 1 +8n

Answers

Answer:

N = -8

Hope this helps!

Mark me brainliest if I'm right :)

A jar contains 16 quarters, 6 dimes ,7 nickels and 11 pennies, if one coin is selected at random, what is the probability it is worth more than 5 cents

Answers

Answer:

11/20

Step-by-step explanation:

5 cents is worth $0.05.

A quarter is worth $0.25.

A dime is worth $0.10

A nickel is worth $0.05

A penny is worth $0.01

In total there are 40 coins in the jar.

The coins that are worth more than $0.05 dollars are the dimes and quarters, so there are 22 coins worth more than $0.05.

Therefore, the probability of of picking a coin worth more than 5 cents is:

22 / 40 = 11/20

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It will be more difficult to slow down the basketball than the block of ice assuming the same frictional force acts upon both.b. The block of ice will travel further across the classroom floor c. If the two objects encounter a ramp slowing upward, the basketball will travel further up the ramp. d. Both objects have the same total kinetic energy classify the following statements about genome size as true or false. The diameter of the nucleus is about 11fm . A simple model of the nucleus is that protons and neutrons are confined within a one-dimensional box of length 11fm . Part A What is the first energy level, in MeV, for a proton in such a box? Express your answer to three significant figures and include the appropriate units. Part B What is the second energy level, in MeV, for a proton in such a box? Express your answer to three significant figures and include the appropriate units. Part C What is the third energy level, in MeV, for a proton in such a box? Express your answer to three significant figures and include the appropriate units. #10 i need help with my math What is the solution for this inequality?5x< 45O A.OB.Oc.XS-9 Why Do You Think Some Countries Became independent later than others? Points to be noted correct answer to be given logical answer to be given MOST IMPORTANT - Correct answer will be marked as Brainliest :) 7. ARGUMENT Write a dialogue between two people in Nebraska who are expressing their views on the issue of popular sovereignty. Have one person defend the policy and the other opposes it. Middle School Math - Problem Solving and Discovery (7-8)Directions: Use a systemic list to solve the following problems. Make sure to show all of your work!1. Rides Tickets: Marcy had $10.00 to spend at the state fair. She spent all of it on the ride tickets. Therides cost either $0.50, $1.00, or $1.25 each. What are all the possible ways in which she spent hermoney? Find the equation of a line that passes through (3.-5) and is perpendicular to a line whose equation is 4x - 5y-6= 0 [3 Marks] Two lines, C and D. are represented by the equations given below Line C: y = x + 14 Line D: y = 3x + 2 Which of the following shows the solution to the system of equations and explains why? O 16. 20), because both lines pass through this point (6. 20), because the point does not lie on any axis (3. 11), because one of the lines passes through this point (3. 11). because the point lies between the two axes Which is NOT true of Edgar Allan Poe (18091849)? Group of answer choices Wrote poetry and short stories infused with death and darkness Is credited with creating the modern romance story Contributed to the dark romantic movement Created characters suffering from disease or madness 13) Which of the following is an example of a normative statement? A) Car prices should be affordable. B) Fewer people die in larger cars than in smaller cars. C) Cars emit pollution. D) If cars becom Buddhism was brought to Japan by settlers from which country Using the data below, Use the 2 period moving average to create the forecast calculate the absolute error for the 3rd week. Week Actuals 17.00 20.00 10.00 11.00 Submit Answer format: Number: Round to: 1 decimal places. Using the data below, calculate the squared error for the 4th week. Use the 2 period moving average to create the forecast. Week Time Series Value 16.00 5.00 25.00 9.00 Submit Answer format: Number: Round to: 1 decimal places. I worded it wrong the last time and im desperately needing an answer so..I have a wet piece of a roll (A bread roll that u get from a bakery) So I put the roll of bread into a plastic bag. And I also put a wet paper towel in the bag. How long will it take for the roll of bread. Rembrandt Paint Company had the following income statement items for the year ended December 31, 2021 ($ in thousands):Sales revenue $29,000 Cost of goods sold $16,000 Interest revenue 320 Selling and administrative expense 3,600 Interest expense 520 Restructuring costs 1,900 In addition, during the year the company completed the disposal of its plastics business and incurred a loss from operations of $2.7 million and a gain on disposal of the components assets of $4.2 million. 600,000 shares of common stock were outstanding throughout 2021. Income tax expense has not yet been recorded. The income tax rate is 25% on all items of income (loss).Required:Prepare a multiple-step income statement for 2021, including EPS disclosures.