Warner Company's year-end unadjusted trial balance shows accounts receivable of $99,000, allowance for doubtful accounts of $600 (credit), and sales of $140,000. Uncollectibles are estimated to be 1% of sales. Prepare the December 31 year-end adjusting entry for uncollectibles.

Answers

Answer 1

Answer:

Bad debt expense Dr ($140,000 × 1%) $1,400

         To Allowance for doubtful debts $1,400

(Being the bad debt expense is recorded)

Step-by-step explanation:

The adjusting entry is shown below:

Bad debt expense Dr ($140,000 × 1%) $1,400

         To Allowance for doubtful debts $1,400

(Being the bad debt expense is recorded)

Here the bad debt expense is debited as it increased the expenses and credited the allowance for doubtful debts as it decreased the assets


Related Questions

help i dont feel like doing the math

help i dont feel like doing the math

Answers

Answer:

A

Step-by-step explanation:

First, we should put this equation in slope-intercept form by isolating y.

Thus, we have:

\(2x-\frac{4}{3}y=4\\ -\frac{4}{3}y=4-2x\\ y=\frac{3}{2}x-3\)

The slope-intercept equation shows that the y-intercept is -3 and the slope is 3/2.

Only answer A meets these requirements.

Two trains leave towns 322 miles apart at the same time and travel toward each other. One train travels 11mi/ hr faster than the other. If they meet in 2 hours, what is the rate of each train?

Answers

The rate of the faster train is 86 miles per hour.

To solve this problem, we can use the formula:

distance = rate x time

Let's call the rate of the slower train "x" (in miles per hour).

Then the rate of the faster train is "x+11" (since it's going 11 miles per hour faster).

Both trains are traveling towards each other, so their distances add up to the total distance between them (322 miles).

We know they meet in 2 hours, so we can set up the equation:

322 = 2(x + x+11)

Simplifying this equation, we get:

322 = 4x + 22

Subtracting 22 from both sides:
300 = 4x
Dividing by 4:
x = 75
So the rate of the slower train is 75 miles per hour.
The rate of the faster train is x+11, or:
75 + 11 = 86
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find the bearing of the ship for the given values of x and y. round to the nearest tenth of degree. x=9.4 y=10.1

Answers

Using trigonometry we obtain the bearing of the ship ≈ 41.8 degrees.

To obtain the bearing of the ship given the values of x and y, we can use trigonometry.

The bearing represents the angle in degrees measured clockwise from the north direction.

First, we need to determine the angle θ between the positive x-axis and the line connecting the origin (0,0) and the point (x, y).

We can use the inverse tangent function (arctan) to find this angle:

θ = arctan(y/x)

Substituting the values x = 9.4 and y = 10.1 into the equation:

θ = arctan(10.1/9.4)

Using a calculator, we find that θ is approximately 48.2 degrees.

However, this angle corresponds to the angle counterclockwise from the positive x-axis.

To convert it to the bearing (measured clockwise from the north direction), we subtract this angle from 90 degrees:

Bearing = 90 - θ = 90 - 48.2 = 41.8 degrees.

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y =(x - 2)3 + 2
.
Plz help I do not understand

Answers

Answer:

get photo math it will help alot

y =(x - 2)3 + 2.Plz help I do not understand

mr. adams divides 183 markers equally among the 24 students in his class. he puts the extra markers in a box. what is the least number of extra markers in a box?

Answers

Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.

Mr. Adams divides 183 markers equally among the 24 students in his class, which means each student gets 7 markers. However, since 7 does not divide evenly into 183, there will be some markers left over. To determine the least number of extra markers in a box, we need to find the remainder when 183 is divided by 24.
Using long division, we get:

   24 | 183
       -----
         7  6
         -----          
This means that there are 6 markers left over that Mr. Adams puts in a box. Therefore, the least number of extra markers in a box is 6.
Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.

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the numbers in this sequence increases by 40 each time. this sequence is continues with the same rule which number will be closest to 300

Answers

Based on the sequence, the number that is closest to 300 is 310

How to determine the number that is closest to 300?

The sequence of numbers is given as

30, 70, 110, 150

The increment in the sequence is given as

40

This means that we keep increasing the numbers by 40

So, the other numbers in the sequence are

30, 70, 110, 150, 190, 230, 270, 310, 350, 390.....

The number 300 is between 270 and 310

However, 310 is closer to 300 than 270

Hence, the number that is closest to 300 is 310

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Complete question

The numbers in this sequence increases by 40 each time. this sequence is continues with the same rule which number will be closest to 300

30, 70, 110, 150

Greg has the following utility function: u = x038x962. He has an income of $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). Suppose that the price of x increases by $1.00. Calculate the compensating variation for this price change. Give your answer to two decimals.

Answers

The compensating variation is $13.52.

The compensating variation is the amount of money that Greg would need to be compensated for a price increase in order to maintain his original level of utility. In this case, Greg's utility function is u = x<sup>0.38</sup>x<sup>0.962</sup>. His income is $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). If the price of x increases by $1.00, then the new prices are (P1, P2) = (5.00, 1.00).

To calculate the compensating variation, we can use the following formula:

CV = u(x1, x2) - u(x1', x2')

where u(x1, x2) is Greg's original level of utility, u(x1', x2') is Greg's new level of utility after the price increase, and CV is the compensating variation.

We can find u(x1, x2) using the following steps:

Set x1 = 83 / 4 = 20.75.

Set x2 = 83 - 20.75 = 62.25.

Substitute x1 and x2 into the utility function to get u(x1, x2) = 22.13.

We can find u(x1', x2') using the following steps:

Set x1' = 83 / 5 = 16.60.

Set x2' = 83 - 16.60 = 66.40.

Substitute x1' and x2' into the utility function to get u(x1', x2') = 21.62.

Therefore, the compensating variation is CV = 22.13 - 21.62 = $1.51.

To two decimal places, the compensating variation is $13.52.

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suppose we have i.i.d. x1,...,xn ∼bernoulli(p). construct a (1 −α)-level confidence interval using variance stabilizing transform

Answers

$\overline{x}=p+\sqrt{\frac{p(1-p)}{n}}z_{1-\alpha/2}\pm\mu$ is the (1 −α)-level confidence interval using variance stabilizing transform.

To construct a (1 - α)-level confidence interval using variance stabilizing transform, we begin by computing the sample mean $\overline{x}$, the sample size n, and the sample variance s^2.

Then, we use the variance stabilizing transformation, $\sqrt{n}\left(\overline{x}-p\right)/\sqrt{p(1-p)}$, to obtain a mean estimate $\mu$. The confidence interval then is:

$\mu \pm z_{1-\alpha/2}\sqrt{\frac{\mu(1-\mu)}{n}}$

where $z_{1-\alpha/2}$ is the (1 - α/2)-quantile of the standard normal distribution. This confidence interval is a measure of our uncertainty in our estimate of the population mean $\mu$.

Finally, we convert the confidence interval back to the original scale by solving for $\overline{x}$:

$\overline{x}=p+\sqrt{\frac{p(1-p)}{n}}z_{1-\alpha/2}\pm\mu$

This gives us the (1 - α)-level confidence interval for the population mean, which can be used to make inferences about the population parameter p.

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PLEASE HELP ASAP

Two clocks are turned on at the same time. One clock chimes every 15 minutes. The
other clock chimes every 25 minutes. In how many minutes will they chime together?

Answers

Answer:

In 75 minutes, both clocks will chime together.


Step-by-step explanation:

All you have to do is find the least common multiple of 15 and 25.


Multiples of 15:

15 x 1 = 15

15 x 2 = 30

15 x 3 = 45

15 x 4 = 60

15 x 5 = 75


Multiples of 25:

25 x 1 = 25

25 x 2 = 50

25 x 3 = 75

25 x 4 = 100

25 x 5 = 125


If you compare the two, you’ll find that 15 and 25 have a least common multiple of 75. So, in 75 minutes both clocks will chime at the same time

9. Find the area of the figure to the nearest tenth.

10. Find the exact area of the shaded region.

Answers

The nearest tenth gives an answer of 16.5 square inches. Finding the area of a figure typically requires knowing the formula for the shape of the figure. For example, the area of a rectangle is found by multiplying its length by its width. The area of a circle is found by multiplying pi by the square of the circle's radius.

The area of a triangle is found by multiplying half of its base by its height. If you are given a figure that is a combination of different shapes, you may need to break it down into its component parts and find the area of each part separately before adding them together to find the total area. The area of a figure to the nearest tenth, you need to use the appropriate units and round your answer. For example, if the figure is measured in inches, the area will be measured in square inches.


Finally, finding the exact area of a shaded region may require some additional information. If the figure is a regular shape, you can use the appropriate formula to find the total area and then subtract the area of any unshaded portions to find the shaded area. If the figure is irregular or consists of multiple shapes, you may need to use more advanced techniques such as integration or breaking the figure down into smaller pieces to find the exact area. It is important to be precise in your calculations when finding the exact area, as even small errors can lead to significant differences in the final answer.

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Simplify the expression (x)^3(x^3y)^2

A) x^9y^2

B) -x^6y^2

C) x^5y^2

D) -x^9y^2

Answers

Answer:

A)

Step-by-step explanation:

\((a^{m})^{n} = a^{mn}\\\\x^{3}*(x^{3}*y^{2})^{2}=x^{3}*(x^{3})^{2}*(y)^{2}\\\\\\=x^{3}*x^{3*2}*y^{2}\\\\\\=x^{3}*x^{6}*y{2}\\\\\\=x^{3+6}*y^{2}\\=x^{9}y^{2}\)

Need help with 15 and show the work

Need help with 15 and show the work

Answers

Answer:

D

Step-by-step explanation:

In 2 hours they wash 8 cars total so...

8

16

24

The extra time is 15 mins for 2 cars

Please help
I am giving all my points for this (15 points)
Select all input values for which g(x)=8.
Choose all answers that apply:
(Choice A)
x=−4
(Choice B)
x=6
(Choice C)
x=9
(Choice D)
None of the above

Answers

Answer:

D. none of the above

Step-by-step explanation:

If g(x)=8 is the only equation, then none of the answers are correct. The correct answer would have been 8 because 8=8.

a newsletter publisher believes that below 58% of their readers own a rolls royce. is there sufficient evidence at the 0.01 level to substantiate the publisher's claim? state the null and alternative hypotheses for the above scenario.

Answers

If the p-value is greater than 0.01, then there is insufficient evidence to reject the null hypothesis and the publisher's claim cannot be substantiated.

The null hypothesis for this scenario would be that the proportion of newsletter readers who own a Rolls Royce is equal to or greater than 58%. The alternative hypothesis would be that the proportion of newsletter readers who own a Rolls Royce is less than 58%. To determine whether there is sufficient evidence to substantiate the publisher's claim, a hypothesis test would need to be conducted using a significance level of 0.01. The test would involve collecting a random sample of newsletter readers and calculating the proportion who own a Rolls Royce. If the p-value (probability value) associated with the test is less than 0.01, then there is sufficient evidence to reject the null hypothesis and conclude that the proportion of newsletter readers who own a Rolls Royce is indeed less than 58%.

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A univerity tate that mean ECLSE core of their graduate i 1200. You do a tudy for your univerity and take a random ample of 100 tudent elected and if the ample mean i 1180. Aume that the ample tandard deviation i 100 and are approximately normally ditributed. Tet the theory that the mean ECLSE tet core i equal to 1200 at 95% ignificance level

Answers

The null hypothesis for this test is that the mean ECLSE test score for the university is equal to 1200. The alternative hypothesis is that the mean is not equal to 1200.

To perform the test, you will need to calculate the t-statistic and the p-value. The t-statistic is calculated by:

t = (sample mean - hypothesized mean) / (sample standard deviation/sqrt (sample size))

In this case, the sample mean is 1180, the hypothesized mean is 1200, the sample standard deviation is 100, and the sample size is 100. Plugging these values into the equation gives:

t = (1180 - 1200) / (100 / sqrt(100)) = -20 / 10 = -2

Next, you will need to calculate the p-value. The p-value is the probability of observing a t-statistic as extreme as the one calculated, given that the null hypothesis is true.

To calculate the p-value, you will need to use a t-distribution table or a software package to find the t-critical value for a one-tailed test with 99 degrees of freedom (since you have a sample size of 100) and a significance level of 0.05. The t-critical value is the value that defines the rejection region for the test. If the t-statistic falls in the rejection region, you can reject the null hypothesis.

If the p-value is less than the significance level of 0.05, you can reject the null hypothesis and conclude that the mean ECLSE test score for the university is not equal to 1200 at the 95% significance level. If the p-value is greater than or equal to 0.05, you cannot reject the null hypothesis and cannot conclude that the mean is different from 1200.

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Last week, a candy store sold 6 1/3 pounds of white chocolate. It sold 4 times as much milk chocolate as white chocolate. How many pounds (in mixed number form) of milk chocolate did the candy store sell last week?

Last week, a candy store sold 6 1/3 pounds of white chocolate. It sold 4 times as much milk chocolate

Answers

Answer:C

Step-by-step explanation:

Change 6 1/3 into a mixed number so 19/3 then multiply 19 * 4 then divide by 4. So C

Answer:

25 1/3 C

Step-by-step explanation:

6x - 12 = 2 (3x - 9) + 6

Answers

Answer:

6x + -12 = 3x + 9

Reorder the terms:

-12 + 6x = 3x + 9

Reorder the terms:

-12 + 6x = 9 + 3x

Solving

-12 + 6x = 9 + 3x

Step-by-step explanation:

12 + 6x = 9 + 3x

-12 + 6x = 9 + 3x

-12 + 6x + -3x = 9 + 3x + -3x

6x + -3x = 3x

-12 + 3x = 9 + 3x + -3x

3x + -3x = 0

-12 + 3x = 9 + 0

-12 + 3x = 9

-12 + 12 + 3x = 9 + 12

-12 + 12 = 0

0 + 3x = 9 + 12

3x = 9 + 12

9 + 12 = 21

3x = 21

Divide each side by 3

x = 7

if f(x) = x/6 , what is the equation for generating x, given the random number r?

Answers

To generate x from a random number r, we can use the inverse of f(x).

The inverse of f(x) is 6x. So, the equation for generating x is x = 6r. If we substitute r with a random number between 0 and 1, we can generate a corresponding value of x. For example, if r = 0.5, then x = 6(0.5) = 3. This equation can be useful in probability and statistics when we need to generate random values for a given distribution.
To find the equation for generating x using the random number r and the given function f(x) = x/6, you'll want to rearrange the equation to solve for x. To do this, you can follow these steps:
1. Rewrite the function: f(x) = x/6
2. Replace f(x) with r: r = x/6
3. Isolate x by multiplying both sides by 6: x = 6r
So, the equation for generating x using the random number r is x = 6r.

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Problem
Find the solution set of the inequality
\qquad12-6x > 24.12−6x>24.

Answers

Answer:

6>18.12>24

Since the inequality can never be true, there is no solution.

Step-by-step explanation:

Answer:

x<-2

Step-by-step explanation:

ProblemFind the solution set of the inequality\qquad12-6x &gt; 24.126x&gt;24.

an adult dolphin weighs about 1800 n. with what speed i must he be moving as he leaves the water in order to jump to a height of 2.10 m. ignore any effects due to air resistance.

Answers

Given information: Mass of dolphin, m = 1800 N; Height of jump, h = 2.10 m.

The gravitational potential energy of the dolphin can be calculated as follows: Gravitational potential energy = mgh where, m is the mass of the dolphin, g is the acceleration due to gravity, and h is the height of the jump.

Given that the dolphin jumps from the water, its initial potential energy is zero. Hence, the total energy of the dolphin is equal to the potential energy at the highest point. At this point, the kinetic energy of the dolphin is also zero. Therefore, the energy conservation equation can be written as follows: mg h = (1/2)mv²where, v is the velocity of the dolphin just before it jumps out of the water.  

Solving for v, we get v = sqrt(2gh)where sqrt denotes the square root, g is the acceleration due to gravity, and h is the height of the jump. Substituting the given values, we get v = sqrt(2 x 9.8 x 2.10)v = 6.22 m/s Therefore, the dolphin must be moving at a speed of 6.22 m/s as it leaves the water in order to jump to a height of 2.10 m.

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henry the donkey has a very long piece of pasta. he takes a number of bites of pasta, each time eating 3 inches of pasta from the middle of one piece. in the end, he has 10 pieces of pasta whose total length is 17 inches. how long, in inches, was the piece of pasta he started with?

Answers

The piece of pasta he started with was 34 inches long.

Defining a problem, identifying its underlying cause, locating, ranking, and selecting potential solutions, as well as putting those ideas into practice, are all steps in the issue-solving process. Diagnose the circumstance to keep your attention on the issue and not merely its symptoms.

Let x be the length of the original piece of pasta.

After taking bites, he has (x - 3) pieces of pasta, each 17/10 inches long.

So, the total length of all pieces of pasta is (x - 3) * 17/10 = 17 inches.

Therefore, x = 10 * 17/7 + 3 = 34 inches.

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What calculation estimates the primary macronutrient the body uses for energy at a given point in time?

Answers

The calculation that estimates the primary macronutrient the body uses for energy at any given point in time is the Catabolic quotient.

What is the Catabolic quotient?

The Catabolic quotient is used to show the amount of macronutrients that are being catabolized to produce energy at any given time.

This allows us to know how much macronutrients the body needs depending on the activities that a person is engaged in at the time. This is important for nutritional requirements as a result.

Options for this question are:

Catabolic quotientResting metabolic rateMetabolismRespiratory quotient

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1. Find the dual of each of the following Linear Programs. Hint: Table 4.1 in the book will be helpful. Minimize x
1

−x
2

(b)
s.t. 2x
1

+x
2

−3x
3

=1
3x
1

+2x
2

−x
3

=5

x
1

,x
2

,x
3

unrestricted

Answers

The dual linear program for the given primal linear program is:

Maximize: y1 + 5y2

Subject to:

2y1 + 3y2 ≤ 1

y1 + 2y2 ≤ -1

-3y1 - y2 ≤ 0

y1, y2 unrestricted.

To find the dual of the given linear program, we need to follow these steps:

Step 1: Write the primal linear program in standard form.

Primal Linear Program:

Minimize: x1 - x2

Subject to:

2x1 + x2 - 3x3 = 1

3x1 + 2x2 - x3 = 5

x1, x2, x3 unrestricted

Step 2: Introduce the dual variables.

Let y1 and y2 be the dual variables corresponding to the two constraints in the primal linear program.

Step 3: Write the dual linear program.

Dual Linear Program:

Maximize: y1 + 5y2

Subject to:

2y1 + 3y2 ≤ 1

y1 + 2y2 ≤ -1

-3y1 - y2 ≤ 0

y1, y2 unrestricted

The dual linear program is obtained by switching the objective function from minimization to maximization and reversing the direction of the inequalities in the constraints.

The dual linear program for the given primal linear program is:

Maximize: y1 + 5y2

Subject to:

2y1 + 3y2 ≤ 1

y1 + 2y2 ≤ -1

-3y1 - y2 ≤ 0

y1, y2 unrestricted.

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17.match graph to what motion is occurring
1. The object is accelerating at an increasing rate
2. The object is moving at a constant velocity
3. The object is not moving
4 The object moved at a constant speed, then stopped. It returned to the beginning. Then it
moved back in the original direction at a very fast constant speed.
Type here tot
paads
Distance
Distance
Time
Time
Time

Answers

The solution is : the velocity of the person on the walk way with respect to the observers on the ground is D 1.7 m/s.

Here, we have,

In order to find the velocity of the person on the walk way with respect to the person on the ground we have to apply relative velocity concept.

Consider the observer on the ground as B and the person walking on the pathway as A.

The relative velocity is the velocity that the body A would appear to an observer on the body B and vice versa.

Mathematically speaking the relative velocity is the vector difference between the velocities of two bodies.

Relative velocity = Velocity of Body A- Velocity of Body B.

Velocity of the person walking on the walkway (A)= 1.5 m/s.(given)

Velocity of the observer on the ground (B)= -0.2 m/s(given).

Relative velocity of object A with respect to B = 1.5 - (-0.2)= 1.7 m/s.

Thus the velocity of the person on the walk way with respect to the observers on the ground is 1.7 m/s.

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complete question:

A person is strolling along a moving walkway at a constant velocity of +1.00 m/s with respect tot he walkway, which moves at a constant velocity of +0.50 m/s with respect to the ground. An observer on the ground is walking at a constant velocity of -0.2 m/s. what is the velocity of the person on the walk way with respect to the observers on the ground?

A - 0.7 m/s

B + 1.3 m/s

C - 0.3 m/s

D + 1.7 ms

According to Okun's law, if the unemployment rate goes from 7% to 4%, what
will be the effect on the GDP?

Answers

Answer:

Step-by-step explanation:



Do the following products exist?

A = [1 4 -3 5] B = [1,1] C = [4 2 0 1 3 5]


a. AB

Answers

To check whether AB exists or not, we have to consider the dimension of both matrices. Matrix A is 1 × 4 and matrix B is 1 × 2. Since the number of columns of matrix A is equal to the number of rows of matrix B, we can multiply A and B.

Therefore, AB exists. The matrix product AB can be obtained by multiplying the elements of row i of matrix A with the elements of column j of matrix B and summing the results, for 1 ≤ i ≤ m and 1 ≤ j ≤ p. Moreover, AB will have a dimension of m × p. So, the dimension of the product AB is 1 × 1. The product AB is a scalar quantity. In order to calculate AB, we have to write matrices A and B in terms of their elements as shown below: A=[1 4 -3 5],

Hence, the product AB exists. It is equal to 5. In linear algebra, matrix multiplication is an important operation that involves multiplying two matrices. The product of two matrices is only defined if the number of columns in the first matrix is equal to the number of rows in the second matrix. If this condition is met, then we can perform the matrix multiplication. where 1 ≤ i ≤ m and 1 ≤ j ≤ p and k is the index of summation, and n is the common dimension of A and B. We replace the values of matrices A and B in the formula, and calculate the product of AB. We find that AB is equal to 5. Therefore, the product AB exists, and it is equal to 5.

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a class of 20 students have one week to complete a math assignment of 30 questions. at the end of the first day, the students had completed the following number of questions:

Answers

The modes of the data set are 4, 5, and 6. Hence, the data set has three modes.

The mode is the outcome that happens most commonly when gathering data. A collection of data may have one pattern, numerous patterns, or absolutely no patterns at all.

A class of 20 students has one week to complete a math assignment of 30 questions.

The following number of questions had been answered by the pupils by the end of the first day:

5, 7, 4, 6, 1, 8, 9, 4, 4, 5, 10, 4, 6, 5, 3, 6, 5, 6, 0, 2

When the above data set is arranged in ascending order:

0, 1, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 8, 9, 10

In the data set, 4 appears four times, 5 appears four times, and 6 appears four times.

Therefore, the mode of the data set is 4, 5, and 6.

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The complete question is mentioned below:

Mark this quest A class of 20 students have one week to complete a math assignment of 30 questions. At the end of the first day, the students had completed the following number of questions: 5, 7, 4, 6, 1, 8, 9, 4, 4, 5, 10, 4, 6, 5, 3, 6, 5, 6, 0,2 How many modes are in the given data set? ​

9. Jackie is an airline mechanic. Her company pays \( 40 \% \) of the \( \$ 3,900 \) annual cost of group health insurance. How much does she pay for it monthly? (4 points)

Answers

Jackie pays $130 monthly for her group health insurance.

To find out how much Jackie pays for her group health insurance monthly, we need to calculate 40% of the annual cost. Given that the annual cost is $3,900 and her company pays 40% of that, we can calculate the amount Jackie pays.

First, we find the company's contribution by multiplying the annual cost by 40%: $3,900 × 0.40 = $1,560. This is the amount the company pays towards Jackie's health insurance.

To determine Jackie's monthly payment, we divide her annual payment by 12 (months in a year) since she pays monthly. So, Jackie's monthly payment is $1,560 ÷ 12 = $130.

Therefore, Jackie pays $130 per month for her group health insurance. This calculation takes into account the company's contribution of 40% of the annual cost, resulting in an affordable monthly payment for Jackie.

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A line passes through the points (4, - 3) and (6, - 1) The equation of the line in slope -intercept form is y = mx + b . What is the value of b?

Answers

Answer:

-7

Step-by-step explanation:

First find the slope (m)

m = (-1-(-3) / (6-4) = 2/2 = 1

Now find b, the y-intercept, by plugging either point into the equation.

y = mx + b

-3 = 1(4) + b

b = -7

AHJK ~ ALMN and LJ ~ LK

Eric is building a trellis for his vegetable garden. The trellis consists of two congruent triangles connected with a cross bar.

AHJK ~ ALMN and LJ ~ LKEric is building a trellis for his vegetable garden. The trellis consists of two

Answers

The missing value of x and y in the given triangles are; x = 7 and y = 72.5°

How to find the missing sides and angle of congruent triangles?

From the trellis that Eric is building for his vegetable garden, we are given that;

ΔHJK ≅LMN and ∠J ≅ ∠K

Now, since LJ ≅ LK it means that by definition of Isosceles triangles;

∠J = ∠K = (180 - 35)/2

∠J = ∠K = 145/2

∠J = ∠K = 72.5°

Since ΔHJK is congruent to ΔLMN, then ∠M ≅ ∠J

Thus, y = 72.5°

Similarly;

HK ≅ LN

3x + 19 = 6x - 2

6x - 3x = 19 + 2

3x = 21

x = 21/3

x = 7

Read more about Congruent Triangles at; https://brainly.com/question/1675117

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