Using z-scores, it is found that a scale of 40 on the first scale is equivalent to a score of 55 in the new standardized scale.
What are z-scores?The z-score of a measure X of a distribution with mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is above(in case the score is positive) or below(in case the score is negative) the mean. Looking at the z-score table, the p-value associated with the z-score is found, which represents the percentile of the measure X.For the first scale, the parameters are given as follows:
[tex]X = 40, \mu = 37, \sigma = 6[/tex]
Hence the z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (40 - 37)/6
Z = 0.5.
For the second scale, we want to find X when Z = 0.5, considering the following mean and standard deviation:
[tex]\mu = 50, \sigma = 10[/tex]
Hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
0.5 = (X - 50)/10
X - 50 = 5
X = 55.
A scale of 40 on the first scale is equivalent to a score of 55 in the new standardized scale.
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Kubin Company’s relevant range of production is 12,000 to 16,000 units. When it produces and sells 14,000 units, its average costs per unit are as follows:
Average Cost per Unit
Direct materials $ 7.30
Direct labor $ 4.30
Variable manufacturing overhead $ 1.80
Fixed manufacturing overhead $ 5.30
Fixed selling expense $ 3.80
Fixed administrative expense $ 2.80
Sales commissions $ 1.30
Variable administrative expense $ 0.80
Required:
1. Assume the cost object is units of production:
a. What is the total direct manufacturing cost incurred to make 14,000 units?
b. What is the total indirect manufacturing cost incurred to make 14,000 units?
2. Assume the cost object is the Manufacturing Department and that its total output is 14,000 units.
a. How much total manufacturing cost is directly traceable to the Manufacturing Department?
b. How much total manufacturing cost is an indirect cost that cannot be easily traced to the Manufacturing Department?
3. Assume the cost object is the company’s various sales representatives. Furthermore, assume that the company spent $39,200 of its total fixed selling expense on advertising and the remainder of the total fixed selling expense comprised the fixed portion of the company's sales representatives’ compensation.
a. When the company sells 14,000 units, what is the total direct selling expense that can be readily traced to individual sales representatives?
b. When the company sells 14,000 units, what is the total indirect selling expense that cannot be readily traced to individual sales representatives?
. Assume the cost object is units of production:
a. What is the total direct manufacturing cost incurred to make 14,000 units?
b. What is the total indirect manufacturing cost incurred to make 14,000 units?
Note: For all the requirements, round per unit values to 2 decimal places.
Show less
1a. Direct material cost per unit
1a. Direct labor cost per unit
1a. Direct manufacturing cost per unit $0.00
1a. Number of units produced and sold
1a. Total direct manufacturing cost $0
1b. Variable manufacturing overhead per unit
1b. Fixed manufacturing overhead per unit
1b. Indirect manufacturing cost per unit $0.00
1b. Number of units produced and sold
1b. Total indirect manufacturing cost $0
1a)The total direct manufacturing cost incurred to make 14,000 units is $162,400.
1b)The total indirect manufacturing cost incurred to make 14,000 units is $99,400.
2a)The total manufacturing cost directly traceable to the Manufacturing Department is $261,800.
2b)The total fixed portion of the sales representatives’ compensation is $14,000.
3a)The total direct selling expense that can be readily traced to individual sales representatives is $32,200.
3b)The total fixed portion of the sales representatives’ compensation is $14,000.
Cost Accounting is a procedure in which raw data are refined and provides information to the management which plays an important role in the decisions to be taken. The product costs and cost of services can be ascertained with the help of cost accounting.
In variable costing only the manufacturing costs which vary with the output are treated as product costs. As such only the variable part of the manufacturing cost like direct materials, direct labor and variable portion of manufacturing overhead is treated as product cost.
The costs which are incurred for the production of a product are product costs. The costs which are the considered and included in the product costs are direct materials, direct labor and manufacturing overhead.
The costs which are expensed when incurred are referred to as period costs. These costs are not capitalized. These costs are not considered as a part of cost of goods sold. It includes selling expenses, advertising expenses, depreciation expense etc.
Those costs which remain constant and do not change with the changes in the level of activity are known as fixed costs. It is also referred to as time-related costs. Examples of fixed expense are: Fixed factory overhead, Fixed selling and administrative expense, Depreciation, Property taxes.
When the manufacturing department is the cost object, then in such a case the cost incurred for manufacturing the product also includes the manufacturing overhead costs. Such costs are to be directly traced to the products. So, the total direct manufacturing cost incurred is computed by multiplying the cost per unit obtained by adding the direct materials, direct labor, variable manufacturing cost per unit and fixed manufacturing cost per unit by the number of units. Therefore, the total direct manufacturing cost incurred to make 14,000 units is $261,800.
When the manufacturing department is the cost object, then the costs incurred in the manufacturing department is to be allocated to the products directly. Such costs are directly traceable to the products. When the cost object is Manufacturing Department then the indirect manufacturing costs does not exist because the costs are traceable to the Manufacturing Department easily. Therefore, the manufacturing costs are not to be considered as indirect costs when the Manufacturing Department is the cost object.
The total fixed selling expense is computed by multiplying the fixed selling expense per unit by the number of units. Then, the amount of advertising expense is deducted from the total fixed selling expense to compute the fixed portion of the sales representatives’ compensation. Therefore, the amount of fixed portion of the sales representatives’ compensation is $14,000.
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PLS ANSWER ASAP
Solve for g. − 3 + 5 + 6 g = 11 − 3 g
PLEASE I NEED HELP AND DONT UNDERSTAND ITS DUE TODAY! PLEASE SHOW STEP BY STEP! thanks!
The number of line segments in the 100th pattern is equal to 201 line segments.
What is the pattern behind the construction of equillateral triangles?
Triangles are polygons with three sides of equal length, herein we find constructions elaborated with equilateral triangles, in which two new line segments are added when an equilateral triangle is so. Then, the number of line segments can be modelled after the following linear progression formula:
n = 3 + 2 · (n - 1)
Where n is the number of equilateral triangles in the pattern.
If we know that n = 100, then the number of line segments is:
n = 3 + 2 · (100 - 1)
n = 3 + 2 · 99
n = 3 + 198
n = 201
The number of line segments in the 100th pattern is equal to 201 line segments.
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In a sample of 10,000 observations from a normal population, how many would you expect to lie beyond three standard deviations of the mean? Group of answer choices About 100 About 127 None of them About 27
Around 27 of the observations are expected to lie beyond this interval.
Given data values of 10000 observations, 0.27 percent of 10000 is 0.27∗10000100=27. 0.27 ∗ 10000 100 = 27.
A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1.
The numbers in between any two particular provided numbers are referred to as an interval. For instance, the interval containing 0, 5, and all values between 0 and 5 is the set of numbers x satisfying 0 x 5.
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How many times larger is (1.143 x 101) than (9 x 10−1)?
0.127
7.87
10.287
12.7
how did you get your answer?
(1.143 × 10¹) is 12.7 times larger than (9 × 10⁻¹). The correct option is the last option 12.7
Calculating magnitudeFrom the question, we are to determine the factor by which 1.143 × 10¹ is larger than 9 × 10⁻¹
To determine how many times larger the number is, we will divide 1.143 × 10¹ by 9 × 10⁻¹
Carrying out the division operation
(1.143 × 10¹) ÷ (9 × 10⁻¹)
= (1.143 ÷ 9) × (10¹ ÷ 10⁻¹)
= (1.143 ÷ 9) × (10¹ ÷ 10⁻¹)
= 0.127 × (10¹ ⁻ ⁽⁻¹⁾)
= 0.127 × (10¹ ⁺ ¹)
= 0.127 × (10²)
= 0.127 × 10²
= 12.7
Hence, (1.143 × 10¹) is 12.7 times larger than (9 × 10⁻¹). The correct option is the last option 12.7
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Graph the line containing the given pair of points and find
the slope.
(-5,5), (0,1)
Answer: See attached for the graph. The slope is [tex]\frac{-4}{5}[/tex].
Step-by-step explanation:
First, we will graph the points.
See attached.
Next, we will find the slope. This can be done with "rise over run". We will start at (-5, 5) and count 4 down and 5 right to (0, 1). This gives us a slope of;
[tex]\frac{-4}{5}[/tex]
A thermometer in Grand Forks, North Dakota, reads -4.5 °F in January.
The temperature on the same day in February has the same absolute value
as the temperature in January but is not the same temperature. What is
the temperature in February?
According to this the temperature in February = 4.5°F.
What do you mean by absolute value:The absolute value (or modulus) of a real number x is its non-negative value regardless of its sign. For example, 5 has an absolute value of 5, and 5 has an absolute value of 5. A number's absolute value can be conceived of as its proximity from zero along the real number line.
Briefing:The temperature on the same day in February has the same absolute vale as the temperature in the January, but is not the same temperature according to this the temperature in February = 4.5°F.
According to the data:The absolute value is the same but not the same temperature:
|-4.5| = 4.5
So,
Its 4.5°F
According to this the temperature in February = 4.5°F.
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At a sale, dresses were sold for $17 each. This price was 85% of a dress's original price. How much did a dress originally cost?
The original cost of the dress is $14.45
How to calculate the original cost of the dress ?The dresses were sold for $17 each
This price was 85% of the original price
Therefore the original cost of the dress can be calculated as follows
85/100= 0.85
The first step is to calculate the original pre sale price
17= 0.85x
x= 17/0.85
= 20
The original cost of the cloth is
= 0.85 × 17
= 14.45
Hence the original cost of the cloth is $14.45
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Which property of addition is shown in the equation below?
a + bi + 0 + 0i = a + bi
The property of addition that represents this is the zero property of addition
How to determine the property of addition?The equation is given as:
a + bi + 0 + 0i = a + bi
In the above equation, the number is added by 0 and the result is the initial number
The property of addition that represents this is the zero property of addition
Because it states that
a + 0 = 0
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Use a calculator to find a decimal approximation for the following trigonometric function sin 28°48
The decimal approximation for the trigonometric function sin 28°48' is
Given the trigonometric function is sin 28°48'
The ratio between the adjacent side and the hypotenuse is called cos(θ), whereas the ratio between the opposite side and the hypotenuse is called sin(θ). The sin(θ) and cos(θ) values for a given triangle are constant regardless of the triangle's size.
To solve this, we are going to convert 28°48' into degrees first, using the conversion factor 1' = 1/60°
sin (28°48') = sin(28° ₊ (48 × 1/60)°)
= sin(28° ₊ (48 /60)°)
= sin(28° ₊ 4°/5)
= sin(28° ₊ 0.8°)
= sin(28.8°)
= 0.481753
Therefore sin (28°48') is 0.481753.
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Given that set A has 73 elements and set B has 29 elements, determine the maximum possible number of elements in A ∩ B
A quadrilateral is shown. One pair of opposite sides have lengths of 10 inches and (x + 2) inches. The other pair of opposite sides have lengths (x + 5) inches and (2 x minus 3) inches. Based on the measures shown, could the figure be a parallelogram? Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in. Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 8 in. No, there are three different values for x when each expression is set equal to 10. No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent
Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in.
=============================================================
Explanation:
Let's say the top and bottom sides are 10 inches and (x+2) inches.
If this was a parallelogram, then those opposite sides must be parallel and the same length. So x+2 = 10 which leads to x = 8 after subtracting 2 from both sides.
Now let's consider the other pair of opposite sides (x+5) and (2x-3), which would be the left and right sides. Set them equal to one another and solve for x.
x+5 = 2x-3
x-2x = -3-5
-x = -8
x = 8
We arrive at the same x value, which confirms we do have a parallelogram.
Use this x value to find the unknown sides
x+2 = 8+2 = 10
x+5 = 8+5 = 13
2x-3 = 2(8)-3 = 13
This parallelogram has sides of 10, 13, 10, 13
It might be helpful to think of a 10 by 13 rectangle. However, the parallelogram may or may not be a rectangle.
could I have some help on my patterns assignment
Answer:
1. 13, 18, 23, 28, 33, 38, 43, 48, 53
Conjecture: Each term is 5 more than the previous term.
2. 512, 256, 128, 64, 32, 16, 8, 4, 2
Conjecture: Each term is half of the previous term.
3. 1, 8, 27, 64, 125, 216, 343, 512, 729
Conjecture: Each term is a cube. To find the nth term, cube n.
4. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31
Conjecture: Each term is the next consecutive prime number.
5. Correct as is
6. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89
Conjecture: Each term is the sum of the 2 previous numbers.
Step-by-step explanation:
1.
Given: 13, 18, 23, 28
We add 5 to each number
13 + 5 = 18
18 + 5 = 23
23 + 5 = 28
28 + 5 = 33
33 + 5 = 38
38 + 5 = 43
43 + 5 = 48
48 + 5 = 53
2.
Given : 512, 256, 128, 64
Divide each number by 2
512 ÷ 2 =256
256 ÷ 2 = 128
128 ÷ 2 = 64
64 ÷ 2 = 32
32 ÷ 2 = 16
16 ÷ 2 = 8
8 ÷ 2 = 4
4 ÷ 2 = 2
3.
Given: 1, 8, 27, 64
We have to cube n:
n³ = consecutive number cubed
1³ = 1 or 1 × 1 × 1
2³ = 8 or 2 × 2 × 2
3³ = 27 or 3 × 3 × 3
4³ = 64 or 4 × 4 × 4
5³ = 125 or 5 × 5 × 5
6³ = 216 or 6 × 6 × 6
7³ = 343 or 7 × 7 × 7
8³ = 512 or 8 × 8 × 8
9³ = 729 or 9 × 9 × 9
4.
Consecutive prime number: Consecutive prime numbers are those that have no gaps or prime numbers between them.
Look at the picture in the link:
6.
Given: 1, 1, 2, 3, 5, 8
We must add the two previous numbers to get the next term:
1 + 1 = 2
1 + 2 = 3
2 + 3 = 5
3 + 5 = 8
5 + 8 = 13
8 + 13 = 21
13 + 21 = 34
21 = 34 = 55
34 + 55 = 89
The perimeter of the triangle below is 54 units. Find the value of y.
Answer:
y = 7
Step-by-step explanation:
3y + (y+1) + (4y-3) = 54
3y + y + 4y + 1 - 3 = 54
8y - 2 = 54
8y = 54 + 2
8y = 56
y = 56/8
y = 7
Check:
3*7 + (7+1) + ((4*7)-3) = 54
21 + 8 + 28-3 = 54
29 + 25 = 54
x=-5
help me and solve this
x+5=0 is ans
Step-by-step explanation:
x=-5
therefore,x+5=0
Chris is studying a type of coral that grows at a constant rate. They measured the age and height of 3
pieces of the coral. Here's what they found:
h = height (cm)
45-
40+
35-
30-
25-
20-
15-
10-
10
5-
●
1 2
●
5 6
a = age (years)
Chris wants an equation they can use to find the height in centimeters (h) of any piece of this coral based
on its age in years (a).
The required equation Chris wants is is h = 7.5a.
What is an equation ?An equation is a mathematical expression for equation two similar terms in different form.
According to the given question Chris is studying a type of coral that grows at a constant rate.
Given at 2 years the height of the coral is 15 cm,At 4 years the height of the coral is 30 cm and at 6 years the height of the coral is 45 cm.
To find the constant rate of change we divide height by age which is
= 15/2
= 7.5.
Thus an equation can be formed by h= 7.5a where h represents height and a represents age.
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Answer: h=7.5a
Step-by-step explanation: The only reasonable answer
Help
Find a if A = 8a
Answer:
a(A) = 0
Step-by-step explanation:
PLEASE HELP ME. DUETODAY. NEED ANSWER ASAP!!!!!!
Answer: 120 ==> scale
8.4 m==> longer side
Step-by-step explanation:
6 m=
6*100 cm=600 cm
600/5=120 ==> scale
7*120=840 cm
840 cm=
840/100 m=8.4 m ==> longer side
Can someone help me pls
Answer:
a)9
b)3
c)22
Step-by-step explanation:
(only in 7th so could be wrong)
a
13+7·2
13+14
27
-----------
8-(3+2)
8-3-2
3
----------
27/3
9
------------------------------------------------------------------
b
9+3²
9+9
18
----------
2²+2
4+2
6
--------
18/6
3
-----------------------------------------------------------------------------------
c
(10+2)+(4²-6)
10+2+4²-6
12+16-6
12+10
22
a population has mean of 0.1 and standard deviation of 2.1.what is the probability that the mean of a random sample of size 900 will be negative
Answer on Question #54875
–
Math
–
Statistics
and Probability
A normal population has a mean of 0.1 and standard deviation 2.1. Find the probability that the
mean of a sample of size 900 will be negative.
Solution
In accordance with the given problem, we have the following data:
μ
=
0
.
1
,
σ
=
2
.
1
and
n
=
900
. It is known that
푥
~
M
(
μ
,
σ
2
)
and
z
~
N
(
0
,
1
)
1. Identify the error.
Determine the coordinates for A' after a
reflection over the x-axis.
B
D
The coordinates for A' will be (3, 1).
(3, -1)
Any point can be located using a Cartesian coordinate system or coordinate system, and that point can be displayed as an ordered pair (x, y) known as Coordinates. The origin, denoted by the letter "O," is the point where the two number lines intersect. The horizontal number line is known as the X-axis, and the vertical number line is known as the Y-axis.
Reflection of a coordinate in x-axis, negates the y - coordinate.
So, negation of 1 = -1
So, the new coordinate is ( 3, -1)
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What is the answer 8÷2(2+2)
Answer:
16
Step-by-step explanation:
BODMAS
Brackets first, 2+2 = 4
8÷2 = 4
4 x 4 = 16
Square LMNO has vertices, L(−4, 2), M(1, 2), N(1, −3), and O(−4, −3). Square LMNO is translated 3 units left and 4 units up to produce square L′M′N′O′.
Which coordinates describe the vertices of the image?
L′(−7, 6), M′(−2, 6), N′(−2, 1), and O′(−7, 1)
L′(−1, 6), M′(4, 6), N′(4, 1), and O′(−1, 1)
L′(0, −1), M′(5, −1), N′(5, −6), and O′(0, −6)
L′(0, 5), M′(5, 5), N′(5, 0), and O′(0, 0)
PLS HELP ME IS ANYONE SPAMS I WILL REPORT YOU AND BAN YOU IMMEDIATLEY BUT IF CORRECT I WILL GIVE BRAINLIESTPLS HURRRY THIS IS DUE TODAY
The coordinate of the square L'M'N'O' will be L′(−7, 6), M′(−2, 6), N′(−2, 1), and O′(−7, 1). Then the correct option is A.
What is a transformation of a point?Each higher dimensional space mapping to itself constitutes a spatial transformation, which preserves some spatial link between the figures.
Square LMNO has vertices, L(−4, 2), M(1, 2), N(1, −3), and O(−4, −3). Square LMNO is translated 3 units left and 4 units up to produce square L′M′N′O′.
The transformation rule will be given as,
(x', y') = (x - 3, y + 4)
Then the coordinate of the square L'M'N'O' will be
L′(−7, 6), M′(−2, 6), N′(−2, 1), and O′(−7, 1)
Then the correct option is A.
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(3x + 5) + (x - 1) =90
Answer:
Step-by-step explanation:
x=
43/2
Answer:
[tex]x=\frac{43}{2}[/tex]
Step-by-step explanation:
[tex]Rule: \left(a\right)=a\\=3x+5+x-1=90\\3x+x+5-1=90\\3x+x=4x \rightarrow 4x+5-1=90\\5-1=4 \rightarrow 4x+4=90\\(-4)~4x+4-4=90-4\\4x=86\\(\div 4)~\frac{4x}{4}=\frac{86}{4}\\x=\frac{43}{2}[/tex]
Question 6 (10 points)
=) Listen
The ratio of outdoor outdoor swimmers to indoor swimmers at the recreation center
is 3:2. If the center has 55 swimmers altogether, how many of them are indoor
swimmers?
22
44
none
33
Answer:
22
Step-by-step explanation:
The ratio tells us 2/5 of the swimmers are indoor swimmers.
55(2/5)=22
Omar has 24 camival ride tickets and it takes 5 tickets to ride the roller coaster how many times can he ride the ride and how many tickets will have left over
Answer:
Omar can ride the roller coaster 4 times and will have 4 tickets leftover.
Step-by-step explanation:
For a more simple problem like this, long division is not necessary.
You may have learned the technique of finding how many times a divisor can "go in" to the dividend.
In this case, 5 (the cost of riding the coaster) can go into 24 (the amount Omar has) 4 times, because 5, 10, 15, 20. However, going in one more time puts us at 25, which Omar does not have, so 5 can only go into 24 5 times.
Since there is still 4 tickets leftover, Omar can ride the coaster 4 times, and will have 4 tickets left.
The order in which a ratio is written is _____ to the meaning.
Answer:
1propotion 2fraction is how it goes
2x+1=2x-1 what is x equaled too
Answer:
x ≤ 0 = no solution
Step-by-step explanation:
[tex]\sf (-2x)2x+1-2x=2x-1-2x\\1=-1\\= 0\\No~solution.[/tex]
Stretch
1. John has 15 bills in his wallet that total $145. He has a mix of five-dollar bills, ten-dollar bills, and twenty-
dollar bills. The number of ten-dollar bills is one less than twice the number of twenty-dollar bills.
a. Write a system of three linear equations in three variables to represent this situation. Be sure to
define your variables.
b. How many of each denomination does John have in his wallet? Solve this system using Gaussian
elimination.
John has 7 five-dollar bills, 5 ten-dollar bills and 3 twenty-dollar bills.
Total number of bills with John = 15
Total money with John = $145
John has a mix of $5, $10 and $20 bills
Let the number of $5 bills be x, $10 bills are y and $20 bills be z
Formulating the equations:
5x + 10y + 20z = 145-------(1)
x + y + z = 15--------(2)
As per the question, the number of ten dollar bills is one less than twice the number of twenty dollar bills:
y = 2z - 1
Putting y = 2z-1 in equating (1) and (2) we get:
5x + 10(2z-1) + 20z = 145
5x + 20z - 10 + 20z = 145
5x + 40z = 155--------(3)
x + y + z = 15
x + 2z - 1 + z = 15
x + 3z = 16--------(4)
Multiplying equation (4) with 5 and using Gaussian Elimination to equate (3) and (4)
5x + 40z = 155
5x + 15z = 80
25z = 75
z = 3
Putting z=3 in (4) we get
x = 7 and y = 5
So, John has 7 five-dollar bills, 5 ten-dollar bills and 3 twenty-dollar bills.
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Complete the equation and tell which property you used 21× =9×21
After cross multiplying the given equation the value of x turns out to be 9.
What is cross multiplication?
In mathematics, specifically in abecedarian computation and abecedarian algebra, given an equation between two fragments or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.In cross-multiplication, we multiply the numerator of the first bit with the denominator of the alternate bit and the numerator of the alternate bit with the denominator of the first bit. Cross-multiplication can be used to add or abate unlike fragments snappily.Cross-multiplication is also appertained to as a butterfly system.21 × X =9×21
X = 9
After cross multiplying the given equation the value of x turns out to be 9.
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