i agree with this statement completely sign me up
What is the length of AB⎯⎯⎯⎯⎯? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. cm A horizontally-aligned scalene triangle A B C. Side A C is labeled as 18 centimeters. Side B C is labeled as 12 centimeters. Angle C is labeled as 79 degrees.
Answer:
AB = 19.6 cm
Step-by-step explanation:
Let AB be represented by c. Applying the cosine rule, we have;
\(c^{2}\) = \(a ^{2}\) + \(b^{2}\) - 2ab Cos C
= \(12^{2}\) + \(18^{2}\) - 2(12 x 18) Cos \(79^{o}\)
= 144 + 324 -432(0.19081)
= 468 - 82.4299
\(c^{2}\) = 385.5701
c = \(\sqrt{385.5701}\)
c = 19.6359
The side AB of the given triangle is 19.6 centimetres.
Answer:
19.6
Step-by-step explanation:
took the quiz. Shows correct
Options for the first box is: cube root, square root Options for the second box are: (0,8), (-2,0), (8,0), (0,-2)
The graph drawn is the graph of a square root function. A similar example is drawn below for the function:
\(y=\sqrt[]{x}-3\)We can thus deduce that the graph is a square root function
From the graph, the x-intercept is given by the point where the graph crosses the x-axis (at the point, y equals zero). The graph crosses the x-axis at x equals 8. It is given as shown below:
\((x,y)=(8,0)\)what is the distance between A(-8,4) and B(4,-1)
Answer:
13 units
Step-by-step explanation:
Here we need to use the distance formula.
Hence we get that,
AB = \(\sqrt{(-8-4)^2 + (4-(-1))^2}\)
AB = \(\sqrt{(-12)^2 + 5^2}\)
AB = \(\sqrt{144 + 25}\)
AB = \(\sqrt{169}\)
AB = 13
The distance between point A(-8,4) and B(4,-1) is 13 units.
What is distance formula?The distance between two points of the xy-plane can be found using the distance formula. The distance formula is:
√[(x₂ - x₁)² + (y₂ - y₁)²].
Now the given points are,
A(-8,4) and B(4,-1)
Therefore we have,
x₁ = -8
y₁ = 4
x₂ = 4
y₂ = -1
Now distance between A(1,4) and B(-3,3.5) = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(4 - (-8))² + (-1 - 4)²]
= √[(4 + 8)² + (-5)²]
= √(12² +25)
= √(144 +25)
= √169
= 13 units
Thus, the distance between points A(-8,4) and B(4,-1) is 13 units.
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A turtle can walk 12 miles in 3 hours what is the average speed of the turtle
Answer:
0.13 to 0.30 mp
Step-by-step explanation:
Find the area of this regular polygon. (Round to one decimal spot if necessary)
the area of a regular polygon is
A = p x a/2
where p is the perimeter of the polygon,
a is the apothem.
p = sn
n is the number of sides
s is the sides length
p = 6.7 x 7
p = 46.9
therefore,
A = 46.9 x 7/2
A = 328.3/2
A = 164sq.u
a punch recipe calls for 1 1/2 quarts of sparkling water and 3/4 of a quart of grape juice. how much of each ingredient would you need to make 75 quarts of punch?
50 quarts of sparking water and 25 quarts of grape juice are needed for 75 quarts of punch.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that a punch recipe calls for 1(¹/₂) quart of sparkling water and 3/4 of a quart of grape juice.
The ratio of sparkling water to grape juice is,
1(¹/₂) : (3/4 quarts) = (3/2) : (3/4) = 2 : 1
The amount sparkling water in the total volume is 2 : (2+1) = 2/3 of the total volume. For a volume of 100 quarts, the sparkling water content is
2/3 · 75quarts = 50 quarts
Then the grape juice content is,
1/3 · 75 quarts = 25 quarts
Therefore, 50 quarts of sparking water and 25 quarts of grape juice are needed for 75 quarts of punch.
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You perform a Chi-Square test and obtain a p-value lower than 0.01. What does that mean?
Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.
If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.
The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.
In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.
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PLEASE HURRY !! Which point is located at (0,5)?
Answer:
C
Step-by-step explanation:
Let A be a 3 × 3 real symmetric matrix with characteristic polynomial (t − 2)2(t − 3). Recall that all real symmetric matrices diagonalize over the real numbers in - an orthonormal basis
3 (a) If A 2 6 find an orthonormal basis in which A diagonalizes, find a diagonal 2 =
matrix equivalent to A and give A or explain why you do not have enough information to do so..
2 (b) If A 2 = find an orthonormal basis in which A diagonalizes, find a diagonal matrix equivalent to A and give A or explain why you do not have enough information to do so..
The diagonal matrix D using the eigenvalues on the diagonal in the same order as the orthonormal basis vectors. Thus, D = diag(2, 2, 3)
(a) If A^2 = 6, we can determine the diagonal matrix equivalent to A by considering its eigenvalues and eigenvectors.
The characteristic polynomial of A is given as (t - 2)^2(t - 3). This means that the eigenvalues of A are 2 (with multiplicity 2) and 3.
To find the eigenvectors corresponding to each eigenvalue, we solve the system of equations (A - λI)v = 0, where λ represents each eigenvalue.
For λ = 2:
(A - 2I)v = 0
|0 0 0| |x| |0|
|0 0 0| |y| = |0|
|0 0 1| |z| |0|
This implies that z = 0, and x and y can be any real numbers. An eigenvector corresponding to λ = 2 is v1 = (x, y, 0), where x and y are real numbers.
For λ = 3:
(A - 3I)v = 0
|-1 0 0| |x| |0|
|0 -1 0| |y| = |0|
|0 0 0| |z| |0|
This implies that x = 0, y = 0, and z can be any real number. An eigenvector corresponding to λ = 3 is v2 = (0, 0, z), where z is a real number.
Now, we need to normalize the eigenvectors to obtain an orthonormal basis.
A possible orthonormal basis for A is {v1/||v1||, v2/||v2||}, where ||v1|| and ||v2|| are the norms of the respective eigenvectors.
Finally, we can construct the diagonal matrix D using the eigenvalues on the diagonal in the same order as the orthonormal basis vectors. Thus, D = diag(2, 2, 3).
(b) Without the specific value for A^2, we cannot determine the diagonal matrix equivalent to A or find an orthonormal basis for diagonalization. The diagonal matrix would depend on the specific eigenvalues and eigenvectors of A^2. Therefore, we do not have enough information to provide the diagonal matrix or the orthonormal basis in this case.
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Trigonometry Problem
Find the length of the missing side.
Answer:
29.187
Step-by-step explanation:
Cos38°= base/hypotenuse
Cos38°= 23/w
w= 23/Cos38°
w= 23/0.788
w= 29.187
Hope it helps :-)
In 2020, the Nature Conservancy thoroughly sampled beetles in a Madagascar rain forest. They identified 400 species of which 100 had been previously described. If there are approximately 2,000,000 described eukaryotic species of which approximately 50% are insects, then this 2020 data suggests that there are a total of ___________ insect species.
-4,000,000
-2,000,000
-16,000,000
-8,000,000
If there are approximately 2,000,000 described eukaryotic species and approximately 50% are insects, then the number of described insect species is 2,000,000 * 0.5 = 1,000,000.
The Nature Conservancy identified 400 species of beetles, of which 100 had been previously described. This means that they discovered 400 - 100 = 300 new beetle species.
Assuming that the proportion of new beetle species to total insect species is the same as the proportion of described beetle species to described insect species, we can set up the following proportion:
300 / x = 100 / 1,000,000
where x is the total number of insect species.
Solving for x, we get:
x = (300 * 1,000,000) / 100
x = 3,000,000
Therefore, the 2020 data suggests that there are a total of 3,000,000 insect species.
So the answer is not among the given options.
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Assume that a real estate investor that rents for $2,000 per month. Which payment plan would the nvestor prefer for the current 12-month lease? payment of $2,000 at the first of each month upfront payment of $24,000 payment of $2,000 at the end of each month payment upfront of $12,000 and $12,000 half-way through the lease
To determine which payment plan the real estate investor would prefer, we need to compare the present value of each payment option. Assuming a discount rate of 0%, meaning no time value of money is considered, we can directly compare the payment amounts.
1. Payment of $2,000 at the first of each month: This results in a total payment of $24,000 over the 12-month lease.
2. Upfront payment of $24,000: This option requires paying the full amount at the beginning of the lease.
3. Payment of $2,000 at the end of each month: Similar to option 1, this results in a total payment of $24,000 over the 12-month lease.
4. Upfront payment of $12,000 and $12,000 half-way through the lease: This option requires paying $12,000 at the beginning of the lease and another $12,000 halfway through the lease.
Since all the payment options have a total cost of $24,000, the real estate investor would likely prefer the payment plan that offers more flexibility or matches their cash flow preferences. Options 1 and 3 provide the investor with the option to pay monthly, while options 2 and 4 require a larger upfront payment. The choice would depend on the investor's financial situation and preferences.
The area of a circle is 36π cm². What is the circumference, in centimeters? Express your answer in terms of π
Answer: \(12\pi\)
Step-by-step explanation:
The formula for area of a circle is \(\pi r^2=A\)
The formula for circumference of a circle is \(2r\pi=C\)
Where r is the radius
A is area
C is circumference
Knowing this we can sub our values in and solve for r in the formula for area
Divide both sides by \(\pi\) to isolate r
\(\pi r^2=A\\\pi r^2=36\pi \\\frac{\pi r^2}{\pi } =\frac{36\pi }{\pi } \\r^2=36\)
Take the square root of both sides
\(r^2=36\\\sqrt{r^2} =\sqrt{36} \\r=6\)
Now sub the value of r into the formula for circumference
\(2r\pi =C\\2(6)\pi =C\\12\pi\)
Answer:
\(12\pi \: c \: m\)
step by step explanation:
\(area \: of \: a \: cirle = \pi \: r {}^{2} \\ circmferene \: of \: a \: circle = 2 \:\pi \: r \\ 36\pi = \pi \: r {}^{2} \\ 36 = r {}^{2} \\ r = 6 \\ for \: circmference \\ 2 \times \pi \: \times 6 = 12\ \: \pi \: cm \)
A dog walking business earns an average yearly revenue of $165,750. Which compound inequality correctly shows the amount of money, t, the business needs each month to pay employees if the monthly budget for
employee wages is between 32% and 35%?
O$1,020.00sts $1,115.63
O$2,040.00 ≤ts $2,231.25
O$4,080.00sts $4,4,62.50
O$4,420.00 $4,834.38
Answer:
$4,420.00 ≤ t ≤ $4,834.38
Step-by-step explanation:
Since yearly employee wages range from 32 to 35%, lets calculate what those percentages are in dollars:
32%: ($165,750)*(0.32) = $53,040/year
35%: ($165,750)*(0.35) = $58,012.5/year
To find the average monthly budget, divide the yearly budget by 12 months
32%: $53,040/year*(1 year/12 months) = $4,420/month
35%: ($58,012.5/year*(1 year/12 months) = $4,834.4/month
t ranges from $4,420/month to $4,834.4/month
$4,420.00 ≤ t ≤$4,834.38
Find the values of x and y
Can someone help?
Answer:
\((x,y) = (65^\circ, 50^\circ)\)
Step-by-step explanation:
Let all values denote degrees.
By the exterior angle theorem, \(x + y = 115\). Moreover, because we are dealing with an isoceles triangle, \(y = 180 - 2x\). Substituting this into the former equation gives \(180-x=115\) and as such \(x=65\). Because \(x + y = 115\) we now also know that \(y=50\).
Answer:
x° = 65° & y° = 50°.
Step-by-step explanation:
115° = x° + y° ( exterior angle property )
Let's name that angle to the right of 115° as 'a'.
a = 180 - 115 = 65°. (linear pair)
Now we know that the triangle is an isosceles triangle. (given)
So this makes x° also as 65° (equal sides make equal angles).
This leaves behind y°.
y° = 180 - (65+65) = 50°.
So, x° = 65° & y° = 50°.
4
Is this a function?
Is this a function?
Yes
No
Cannot be
determined
A Yes
B) No
Cannot be determined
6 sqrt 7 • sqrt 9 help me it is hard
Answer:
18 sqrt 7
Step-by-step explanation:
6sqrt 7 is unfactorable
sqrt 9 is = to 3
6*3=18
answer is 18 sqrt 7
Gas prices averaged $4.33 per gallon in january and $3.89 per gallon in february. what was the percent decrease of the average gas price from january to february? 8.98% 10.16% 11.31% 44%
The percent decrease is 10.16%
How to calculate the percent decrease ?Percent decrease can be calculated by dividing the decrease by the original value and multiplying by 100
The first step is to calculate the decrease
= 4.33 - 3.89
= 0.44
The percent decrease can be calculated as follows
= 0.44/4.33 × 100
= 0.1016 × 100
= 10.16
Hence the percent decrease is 10.16 %
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Answer:
(B) 10.16%
Step-by-step explanation:
Correct on my quiz.
Chelsea shows her work in finding the solution to 4x−5=2 3(x−3). after checking her answer in the original equation, she found that it did not work. where did she make a mistake?
Chelsea made a mistake in simplifying the equation 3(x-3). To find the solution to 4x-5=2(3(x-3)), we first simplify the expression inside the parentheses.
Now, to isolate the variable x, we need to move the terms with x to one side of the equation. Let's subtract 4x from both sides, which gives us -5-4x=6x-18-4x. Simplifying this, we get -5-4x=2x-18.
Next, let's move the constant terms to the other side. Adding 18 to both sides, we get -5-4x+18=2x-18+18. Simplifying this, we get -4x+13=2x.
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Chelsea made a mistake when subtracting the variable term from both sides. By identifying this error and correctly following the steps, we find that the solution to the equation 4x - 5 = 2 3(x - 3) is x = -7.
Chelsea made a mistake in her work when finding the solution to the equation 4x - 5 = 2 3(x - 3). To determine where she went wrong, let's analyze her steps.
Step 1: Distribute 3 to (x - 3): 4x - 5 = 2 3x - 6.
Step 2: Combine like terms: 4x - 5 = 6x - 12.
Step 3: Move the variables to one side and the constants to the other side. Chelsea may have mistakenly subtracted 4x from both sides instead of 6x. This would result in: -5 = 2x - 12.
Step 4: Solve for x. Chelsea may have then incorrectly added 12 to both sides instead of adding 5, leading to: 7 = 2x.
Step 5: Divide both sides by 2: x = 7/2.
Upon reviewing her work, Chelsea should have subtracted 6x from both sides in Step 3, not 4x. This would have resulted in the equation 2x - 5 = -12. Correctly following the steps would lead to the correct solution: x = -7.
Therefore, Chelsea made a mistake when subtracting the variable term from both sides. By identifying this error and correctly following the steps, we find that the solution to the equation 4x - 5 = 2 3(x - 3) is x = -7.
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7/12 divided by 2 5/8
Answer:
2/9
Step-by-step explanation:
Answer: 2/9
Step-by-step explanation:
First write as an improper fraction.
2 5/8 is equal to 21/8
Then re-write
7/12 divided by 21/8
Then multiply 7/12 by the reciprocal of 21/8 which is 8/21
The answer is 56/252
Simplify
The answer is 2/9
b. what information does the short-run supply curve convey? when used in conjunction with the average-variable-cost curve, what does the supply curve tell a firm about its profits? (2 points)
The short-run supply curve shows the quantity of output a firm is willing to supply at different market prices in the short run. It is typically upward sloping, meaning that as the price of the product increases, the firm is willing to produce and supply more units. This is because higher prices will allow the firm to cover its variable costs and potentially earn a profit.
When used in conjunction with the average variable cost (AVC) curve, the supply curve can give a firm valuable information about its profits. The AVC curve represents the average variable cost per unit of output, which includes the costs that vary with the level of production (such as labor and materials).
If the market price is above the AVC curve, the firm is covering all of its variable costs and may earn a profit. If the market price is below the AVC curve but still above the average total cost (ATC) curve, the firm is not covering all of its costs but is still producing because it is covering its variable costs. If the market price falls below the ATC curve, the firm is not covering all of its costs and is likely to shut down production in the short run.
Therefore, the supply curve in conjunction with the AVC curve allows a firm to determine whether it should produce and supply output in the short run based on the prevailing market price. If the market price is high enough to cover variable costs and potentially earn a profit, the firm will continue to produce. However, if the market price falls below the AVC curve, the firm will likely reduce or cease production to minimize losses.
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have u ever seen 2 pretty besfrens??
yea once
they ain't friends no more
bc I stole one
and now there ain't 2 pretty best frens no more
What is the coefficient of the term of degree 4 in this polynomial?
x^8+2x^4 - 4x^3 + x^2-1
Answer:
2
Step-by-step explanation:
the coefficient is the number that multiply the letter
Select all that apply.
(xyz)^2 = ___.
The expression without the exponents is?
Xy • xy • xy
Xyz • xyz
X• x • y • y • z • z
X^2 • y^2 • z^2
Answer: the answer is X^2 • Y^2 • Z^2.
Step-by-step explanation:
Expanding the expression (xyz)^2, we get:
(xyz)^2 = (xyz) x (xyz)
(xyz)^2 = x^2 y^2 z^2
PLS HELP!!! No links pls and Ty <3333
Answer:
The area is 176.6
Step-by-step explanation:
The formula for the area of a circle is "πr²"
This means you square the radius, and multiply it by pi.
Our diameter is 15, and the radius is half of the diameter.
15 ÷ 2 = 7.5
Next, we square the radius. (7.5)
Let's fill it into the formula.
π7.5²
After squaring, it's this:
π56.25
In your question, pi is 3.14, so let's replace that.
(3.14)56.25
After multiplying we get 176.625, after we round, we get 176.6
176.6 is the area.
Brainliest please?
Answer:
The area is 176.6
Step-by-step explanation:The formula for the area of a circle is "πr²"This means you square the radius, and multiply it by pi.Our diameter is 15, and the radius is half of the diameter.15 ÷ 2 = 7.5Next, we square the radius. (7.5)Let's fill it into the formula.π7.5²After squaring, it's this:π56.25In your question, pi is 3.14, so let's replace that.(3.14)56.25After multiplying we get 176.625, after we round, we get 176.6176.6 is the area.
Step-by-step explanation:
What is the quotient (2x^3 + 3x - 22) / (x-2)
Answer:
2x^2+4x+11
Step-by-step explanation:
a company that makes hair care products had people try a new shampoo of the 200 people 20 had a mild allergic reaction. what percent of the people had mild allergic reaction?
Answer:
4%
Step-by-step explanation:
8 divided by 200 equals 0.04
0.04 times 100 equals 4
Therefore 4 percent of the people had a mild allgergic reaction.
Yesterday a car rental agency rented 4 convertibles and 30 other vehicles. Considering this
data, how many of the first 68 vehicles rented today should you expect to be convertibles?
convertibles
Help it’s for ixl
Answer:
8 convertibles
Step-by-step explanation:
Well, first we are going to assume the ratio for the convertibles and non-convertibles are the same.
So the company rented 4 convertibles and 30 others.
This makes the ratio 4:30
30+4=34 68 is double of 34 so it is logical to double the ratio to get 8:60. So that means there should be 8 convertibles.
I hoped this helped.
8 convertibles are expected in many of the first 68 vehicles rented today should you expect to be convertibles.
What is multiplying?When you take a single number and multiply it by several, you are multiplying. There are a number of distinct indications of amplification that people utilize. The "x" sign represents the most typical, however, other symbols like the "*" sign are also occasionally used.
There is a total number of vehicles is as:
30 other vehicles + 4 convertibles = 34 cars
To find 68 vehicles
34 * 2 = 68
Therefore this implies :
30 * 2 other vehicles + 4 * 2 convertibles
= 68 cars
60 other vehicles and 8 convertibles
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The Cutting Department of Karachi Carpet Company provides the following data for January. Assume that all materials are added at the beginning of the process. Work in process, January 1, 1,400 units, 75% completed $ 22,960* *Direct materials (1,400 × $12.65) $ 17,710
Conversion (1,400 × 75% × $5.00) 5,250
$22,960
Materials added during January from Weaving Department, 58,000 units $742,400
Direct labor for January 134,550
Factory overhead for January 151,611
Goods finished during January (includes goods in process, January 1), 56,200 units -------
Work in process, January 31, 3,200 units, 30% completed -----
a. Prepare a cost of production report for the Cutting Department.
b. Compute and evaluate the change in the costs per equivalent unit for direct materials and conversion from the previous month (December).
The cost of production report for Karachi Carpet Company's Cutting Department for January 2016 was prepared, including unit information, cost information, and costs assigned to production. The change in costs per equivalent unit for direct materials and conversion from December was also calculated and found to have increased. The December costs per equivalent unit is not included in the report.
Cost of Production Report for the Cutting Department
Karachi Carpet Company
Cost of Production Report—Cutting Department
For the Month Ended January 31, 2016
Unit Information
Units charged to production:
Inventory in process, January 1 1,400
Received from Weaving Department 58,000
Total units accounted for by the Cutting Department 59,400
Units to be assigned costs:
Equivalent Units Whole Units Direct Materials Conversion
Inventory in process, January 1 1,400 1,400 1,400
Started and completed in January 54,800 54,800 54,800
Transferred to finished goods in January 56,200 56,200 56,200
Inventory in process, January 31 3,200 3,200 960
Total units to be assigned costs 115,600 115,600 113,360
Cost Information
Costs per equivalent unit:
Direct Materials Conversion
Total costs for January in Cutting Department $759,660 $287,201
Total equivalent units 115,600 113,360
Cost per equivalent unit $6.57 $2.53
Costs assigned to production:
Direct Materials Conversion Total
Inventory in process, January 1 $17,710 $5,250 $22,960
Costs incurred in January $759,660 $287,201 $1,046,861
Total costs accounted for by the Cutting Department $777,370 $292,451 $1,069,821
Costs allocated to completed and partially completed units:
Inventory in process, January 1 balance $22,960 $5,250 $28,210
To complete inventory in process, January 1 $2,571 $765 $3,336
Cost of completed January 1 work in process $25,531 $6,015 $31,546
Started and completed in January $359,226 $145,524 $504,750
Transferred to finished goods in January $369,034 $73,764 $442,798
Inventory in process, January 31 $18,579 $4,898 $23,477
Total costs assigned by the Cutting Department $777,370 $292,451 $1,069,821
Change in costs per equivalent unit from December
We are not given the December costs per equivalent unit for direct materials and conversion, so we cannot calculate the change or determine whether they have increased or decreased.
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--The given question is incomplete, the complete question is given
"The Cutting Department of Karachi Carpet Company provides the following data for January 2016. Assume that all materials are added at the beginning of the process.
Work in process, January 1, 1,400 units, 75% completed $ 22,960*
*Direct materials (1,400 X $12.65) $17,710
Conversion (1,400 X 75% X $5.00) 5,250
$22,960
Materials added during January from Weaving Department, 58,000 units $742,400
Direct labor for January 134,550
Factory overhead for January 151,611
Goods finished during January (includes goods in process, January 1), 56,200 units —
Work in process, January 31, 3,200 units, 30% completed —
X Part A: Cost of Production Report
a. Prepare a cost of production report for the Cutting Department. If an amount is zero or a blank, enter in "0". For the cost per equivalent unitcomputations, round your answers to two decimal places.
Karachi Carpet Company
Cost of Production Report—Cutting Department
For the Month Ended January 31, 2016
Unit Information
Units charged to production:
Inventory in process, January 1
Received from Weaving Department
Total units accounted for by the Cutting Department
Units to be assigned costs:
Equivalent Units
Whole Units Direct Materials Conversion
Inventory in process, January 1
Started and completed in January
Transferred to finished goods in January
Inventory in process, January 31
Total units to be assigned costs
Cost Information
Costs per equivalent unit:
Direct Materials Conversion
Total costs for January in Cutting Department $ $
Total equivalent units
Cost per equivalent unit $ $
Costs assigned to production:
Direct Materials Conversion Total
Inventory in process, January 1 $
Costs incurred in January
Total costs accounted for by the Cutting Department $
Cost allocated to completed and partially completed units:
Inventory in process, January 1 balance $
To complete inventory in process, January 1 $
Cost of completed January 1 work in process $
Started and completed in January $
Transferred to finished goods in January $
Inventory in process, January 31
Total costs assigned by the Cutting Department $
b. Compute and evaluate the change in the costs per equivalent unit for direct materials and conversion from the previous month (December). If required, round your answers to two decimal places.
Increase or Decrease Amount
Change in direct materials cost per equivalent unit Increase $
Change in conversion cost per equivalent unit Increase $"--
Why would the median be a better measure of the center than the mean for the following set of data? 3, 4, 4, 4, 5, 6, 7, 23
Answer:
Step-by-step explanation:
If I found the mean, the answer would be:
3+ 4+4+4+5+6+7+23= 56
56/ 8 = 7
If I found the average value using the median, the answer would be 4.5.
In this set of data, the anomaly is 23 as it is much higher than the other numbers.
The median is more accurate because it find the more ‘central’ number and is not affected as greatly with anomalies whereas the mean is affected greatly with anomalies as it raises the value significantly.
Therefore, the median is better to work out the average in this set of data.
:)