The inventory items can be classified using ABC Analysis based on their annual usage value, where items are categorized as A, B, or C based on their contribution to the total inventory cost.
1. Calculation of annual usage value: Determine the annual usage value for each inventory item by multiplying the unit cost by the annual demand (number of units used per year).
2. Ranking the items: Rank the inventory items in descending order of their annual usage value.
3. Cumulative percentage calculation: Calculate the cumulative percentage of the annual usage value for each item by dividing the cumulative total of the annual usage value by the total annual usage value of all items.
4. Classification criteria: Choose a cutoff point to classify the items into A, B, and C categories. Typically, the top 20% of items contributing to 80% of the total inventory cost are classified as category A, the next 30% as category B, and the remaining 50% as category C.
5. Assigning categories: Based on the cumulative percentage, assign the inventory items to their respective categories (A, B, or C).
6. Justification and chart: Create a chart, such as a Pareto chart or ABC Analysis graph, to visually represent the distribution of items across categories. Justify the classification based on the criteria chosen and the analysis of the inventory items' contribution to the total inventory cost.
By performing ABC Analysis, your company can prioritize management efforts and resources, focusing on the items in category A that have the highest value and ensuring efficient inventory control for items in categories B and C.
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CAN SOMEONE HELP ME PLS?????
You are correct, P(red) = P(green) = 0.25.
Another way to write g(h(x))
Answer:
(gOh)(x) on edg 2020
Step-by-step explanation:
Find the circumference of the circle shown: 10 ft
Answer:
31.42
Step-by-step explanation:
equation for solving is C= π d
circumference is π x diameter
so therefore the new equation is π x 10
3.14 (π) x 10 (d) = 31.42
What is the intermediate step in the form ( x + a ) 2 = b (x+a) 2 =b as a result of completing the square for the following equation?.
The intermediate step in the form ( x + a ) ^2 = b (x+a) 2 =b as a result of completing the square of x² - 4x = 45 is (x- 2)² = 49
How to determine the intermediate step?
The equation is given as:
x² - 4x = 45
Take the coefficient of x
k = -4
Divide by 2
k/2 = -2
Square both sides
(k/2)^2 = 4
Add 4 to both sides of x² - 4x = 45
x² - 4x + 4= 45 + 4
This gives
x² - 4x + 4= 49
Express as perfect square
(x- 2)² = 49
Hence, the intermediate step of x² - 4x = 45 is (x- 2)² = 49
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Find next two terms. -162, -54, -18, ?, ?
Answer:
-6, -2
Step-by-step explanation:
-2 ×3 = -6
-6 ×3 = -18
-18 x3 = -54
-54 x3 = -162
20 is 40% of what number
it depends what the number is
Answer:
50
Step-by-step explanation:
20 divided by the percent value as a decimal 0.4 is 50
What is the volume of the right rectangular prism below?
A
434 cubic inches
B
418 cubic inches
C
334 cubic inches
D
218 cubic inches
Answer:
Volume of right rectangular prism = 3.75 in³
Step-by-step explanation:
Given:
First side of rectangular prism = 2 inches
Second side of rectangular prism = 1\(\frac{1}{2}\) = 1.5 inches
Third side of rectangular prism = 1\(\frac{1}{4}\) = 1.25 inches
Find:
Volume of right rectangular prism:
Computation:
\(Volume\ of\ right\ rectangular\ prism=lbh\\\\Volume\ of\ right\ rectangular\ prism=(2)(1.5)(1.25)\\\\ Volume\ of\ right\ rectangular\ prism= 3.75 in^3\)
The following system of linear equations is shown in the graph.
y=1/4x+5
x-4y=4
How many solutions does the system of linear equations have?
A. No solution
B. Infinitely many solutions
C. One solution at (4,0)
D. One solution at (0,-1)
Answer:
Step-by-step explanation:
The slopes of both those lines are the same so there is no solution. Use slope triangles to find out the slope. They are both 1/4.
A. No solution
y = 1/4x+5
x - 4y = 4
You can simplify the second equation into y = 1/4x - 1
Since these equations both have the same slope, they are parallel. When two lines are parallel, they have no solutions.
Use the Green's Theorem area formula, Area of R = 1/2 x dy - y dx, to find the area of the region, R. enclosed by the astroid, r(t) = (- 3 cos^3t)i + (- 3 sin^3t)j such that 0 le t le 2 pi. The area of R is_______.
To find the area of the region enclosed by the astroid curve, we can use the Green's Theorem area formula:
Area of R = 1/2 ∫(C) x dy - y dx,
where C is the curve that encloses the region R.
The parametric equation of the astroid curve is given by r(t) = (-3cos^3(t))i + (-3sin^3(t))j, where 0 ≤ t ≤ 2π.
To apply the Green's Theorem, we need to find the derivatives of x and y with respect to t:
dx/dt = d/dt(-3cos^3(t)) = 9cos^2(t)sin(t),
dy/dt = d/dt(-3sin^3(t)) = -9sin^2(t)cos(t).
Now we can calculate the area:
Area of R = 1/2 ∫(C) x dy - y dx
= 1/2 ∫(0 to 2π) [(-3cos^3(t))(dy/dt) - (-3sin^3(t))(dx/dt)] dt.
Substituting the values of dx/dt and dy/dt, we have:
Area of R = 1/2 ∫(0 to 2π) [(-3cos^3(t))(-9sin^2(t)cos(t)) - (-3sin^3(t))(9cos^2(t)sin(t))] dt
= 1/2 ∫(0 to 2π) [27cos^4(t)sin^2(t) + 27cos^2(t)sin^4(t)] dt
= 27/2 ∫(0 to 2π) cos^4(t)sin^2(t) + cos^2(t)sin^4(t) dt.
This integral is a bit involved to evaluate analytically, so numerical methods or software can be used to approximate the value.
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Joe began reading at
9:04. He read for 47
minutes. What time did
he finish reading?
Answer: 9:51
Step-by-step explanation:
b) What is P(NOT Green gumballs)? (as a fraction) el Level 4 (Optional) 2pts How many gumballs must be ADDED TO THE BAG to make the probability of choosing a green gumball = 20% Show or explain your answer (how many gumballs and what color should be added?) We add (12
Probability = required outcome / all possible outcome
Total number of balls = 5+ 3+4 = 12
a) number of red ball = 4
p( red gum ball) = 4/12 = 1/3
b)
number of green ball = 5
p(green ball) = 5/12
p(not green ball) = 1- 5/12
=12-5 /12
=7/12
I NEED AN ANSWER ASAP PLEASE
Step-by-step explanation:
the correct answer is option a 6a-7
Multiply to convert pounds to ounces. Write your answer as a fraction.
Answer:
There is nothing to multiply.
Include the problem please
√6 x √27 is equal to
Answer:
square root 162
Step-by-step explanation:
Answer:
\(9 \sqrt{2 } \)
Velocity of a Car A car moves along a straight road in such a way that its velocity (in feet per second) at any time t (in seconds) is given by v(t) = 3t√ 81-t² (0 ≤ t ≤ 9). Find the distance traveled by the car in the 9 sec from t = 0 to t = 9. ___ ft
To find the distance traveled by the car in the time interval from t = 0 to t = 9 seconds, we need to integrate the velocity function over that interval.
The velocity function is given by \(\(v(t) = 3t \sqrt{81 - t^2}\).\)
To find the distance traveled, we integrate the absolute value of the velocity function over the interval [0, 9]:
\(\[\text{{Distance}} = \int_{{0}}^{{9}} |v(t)| \, dt\]\)
Since the velocity function \(\(v(t)\)\) is non-negative over the interval [0, 9], we can simply integrate the velocity function from 0 to 9:
\(\[\text{{Distance}} = \int_{{0}}^{{9}} v(t) \, dt\]\)
Let's calculate the distance traveled:
\(\[\text{{Distance}} = \int_{{0}}^{{9}} 3t \sqrt{81 - t^2} \, dt\]\)
We can simplify this integral using a substitution. Let's substitute \(\(u = 81 - t^2\) and \(du = -2t \, dt\). When \(t = 0\), \(u = 81\), and when \(t = 9\), \(u = 0\)\). The integral becomes:
\(\[\text{{Distance}} = \int_{{81}}^{{0}} -\frac{3}{2} \sqrt{u} \, du\]\)
Now we can evaluate the integral:
\(\[\text{{Distance}} = -\frac{3}{2} \int_{{81}}^{{0}} \sqrt{u} \, du\]\)
We can reverse the limits of integration and change the sign:
\(\[\text{{Distance}} = \frac{3}{2} \int_{{0}}^{{81}} \sqrt{u} \, du\]\)
Integrating \(\(\sqrt{u}\) with respect to \(u\)\) gives us:
\(\[\text{{Distance}} = \frac{3}{2} \left[ \frac{2}{3} u^{3/2} \right]_{{0}}^{{81}}\]\)
Evaluating the integral at the limits:
\(\[\text{{Distance}} = \frac{3}{2} \left[ \frac{2}{3} (81)^{3/2} - \frac{2}{3} (0)^{3/2} \right]\]\)
Simplifying:
\(\[\text{{Distance}} = \frac{3}{2} \left( \frac{2}{3} \cdot 81^{3/2} - 0 \right)\]\)
\(\[\text{{Distance}} = 3 \cdot 81^{3/2}\]\)
Evaluating the expression:
\(\[\text{{Distance}} = 3 \cdot 9^3 = 3 \cdot 729 = 2187 \text{{ ft}}\]\)
Therefore, the distance traveled by the car in the 9 seconds from t = 0 to t = 9 is 2187 ft.
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Your hospital has just reset the safety stock level for sleeping pills to be 220 pills.
If your hospital consumes an average of 1,155 per day with a standard deviation of 81 pills, what is the chance that your hospital will run out of sleeping pills on any day? (Keep four decimal places in your answer, which should be a number not a percentage)
The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).
To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.
First, let's calculate the Z-score using the formula:
Z = (X - μ) / σ
Where:
X = consumption rate per day (1,155 pills)
μ = average consumption rate per day (1,155 pills)
σ = standard deviation (81 pills)
Z = (1,155 - 1,155) / 81
Z = 0
Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.
We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.
To find the probability of running out of sleeping pills, we subtract this probability from 1:
Probability of running out of sleeping pills = 1 - 0.5000
Probability of running out of sleeping pills = 0.5000
Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.
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When constructing a perpendicular bisector why must the compass opening be greater than 1/2.
It is critical to open a compass with over half the way in order for the arcs formed to meet for perpendicular bisector.
What is perpendicular bisector?A perpendicular bisector would be a line that cuts a line segment in half and forms a 90-degree angle at the intersection point. In other words, a perpendicular bisector separates a line segment now at midpoint, forming a 90-degree angle.
Now, consider an example;
When you wish to build a perpendicular line on a line segment, like line AB, you do the following;
Set the compass on a radius more than half the length of the line AB.Using A as your center, draw an arc above and below line AB.With the same radius and B as our center, draw additional arcs on top or below line AB to join a first arcs on the both side of the line.Join the two arc intersections to cut line AB at M.A line AB appears to be bisected perpendicularly as a result. The arcs would not have met if the compass is opened less than half way down line AB.
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Solve the given initial-value problem. the de is a bernoulli equation. y1/2 dy dx y3/2 = 1, y(0) = 9
A differential equation with some initial conditions is used to solve an initial value problem.
The required particular solution is given by the relation:
\($4y^{(3/2)} = 9e^{(-2x/3)} + 23\)
What is meant by an initial-value problem?An initial value problem in multivariable calculus is an ordinary differential equation with an initial condition that specifies the value of the unknown function at a given point in the domain. In physics or other sciences, modeling a system frequently entails solving an initial value problem.
Let the given equation be \($y^{1/2} dy\ dx y^{3/2} = 1\), y(0) = 9
\($(\sqrt{y } ) y^{\prime}+\sqrt{(y^3\right\left) }=1\) …..(1)
Divide the given equation (1) by \($\sqrt{ y} $\) giving
\($y^{\prime}+y=y^{(-1 / 2)} \ldots(2)$\), which is in Bernoulli's form.
Put \($u=y^{(1+1 / 2)}=y^{(3 / 2)}$\)
Then \($(3 / 2) y^{(1 / 2)} \cdot y^{\prime}=u^{\prime}$\).
Multiply (2) by \($\sqrt{ } y$\) and we get
\(y^{(1 / 2)} y^{\prime}+y^{(3 / 2)}=1\)
(2/3) \(u^{\prime}+u=1$\) or \($u^{\prime}+(3 / 2) y=3 / 2$\),
which is a first order linear equation with an integrating factor
exp[Int{(2/3)dx}] = exp(2x/3) and a general solution is
\(u. $e^{(2 x / 3)}=(3 / 2) \ln \[\left[e^{(2 x / 3)} d x\right]+c\right.$\) or
\(\mathrm{y}^{(3 / 2)} \cdot \mathrm{e}^{(2x / 3)}=(9 / 4) \mathrm{e}^{(2x / 3)}+{c}\)
To obtain the particular solution satisfying y(0) = 4,
put x = 0, y = 4, then
8 = (9/4) + c
c = (23/4)
Hence, the required particular solution is given by the relation:
\($4y^{(3/2)} = 9e^{(-2x/3)} + 23\)
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Abby spent half her allowance at the movies. To earn more money her parents let her clean the windows in the house for $7. After cleaning she had $12. What’s the equation that can be used to find her weekly allowance
Answer:
x+7=12
Step-by-step explanation:
x+7=12
-7 -7
x=5T
✓
Х
Find the sum of (x2 – 7x + 5) and (-3x2 - x + 10)
[
Answer:
-2x² - 8x + 15 = 0
Step-by-step explanation:
Given the following algebraic expression;
x² – 7x + 5
-3x² - x + 10
To add the equation together;
x² – 7x + 5 + (-3x² - x + 10) = 0
x² – 7x + 5 - 3x² - x + 10 = 0
Collecting like terms, we have;
(x² - 3x²) - (7x + x) + (5 + 10) = 0
-2x² - 8x + 15 = 0
Which expression is equivalent to 1/27?
Answer:
D 3^3 *3^-7
Step-by-step explanation:
1/27 = 1/3^3 = 3^-3
When multiplying with the same base, add the exponents
A 3^1 * 3^-10 = 3^-9
B 3^-1 * 3^10 = 3^9
C 3^-4 * 3^7 = 3^3
D 3^3 *3^-7 = 3^-3
If triangle ABC has vertices A(1, 2), B(-1, -1), and C(0, -2), which of the following coordinates is B’ of the dilation using the scale factor 4?
Answer: B'(-4, -4)
Given : A(1, 2), B(-1, -1), C(0, -2)
"Focusing on B coordinates"
If the points are dilated with a scale factor of 4
Then new coordinates : (-1, -1) × 4 = B'(-4, -4)
Answer:
B' = (-4, -4)
Step-by-step explanation:
Dilation: A type of transformation that makes the pre-image larger or smaller without changing its shape.
Center of a dilation: a fixed point about which all points are dilated.
Given:
A = (1, 2)B = (-1, -1)C = (0, -2)Scale factor = 4For dilation when the center of dilation is the origin (0, 0), simply multiply the coordinates of the vertices of the pre-image by the given scale factor to find the image under dilation:
Therefore:
A' = (1 x 4, 2 x 4) = (4, 8)
B' = (-1 x 4, -1 x 4) = (-4, -4)
C' = (0 x 4, -2 x 4) = (0, -8)
PLEASEEEEE HELPPPPPP
A dilation maps (6, 10) to (3,5). What are the coordinates of the image of (12, 4) under the same dilation?
Answer:
(6,2)
Step-by-step explanation:
Given a homogeneous system of linear equations Ax = 0, if the determinant of A isO(zero), Ax = 0 has infinitely many solutions.True or False
Given:
A homogeneous system of linear equations Ax= 0 is given.
If the determinant of A is 0 then Ax = 0 has infinitely many solutions.
If the determinant is zero that means the matrix A is not invertible.
That implies there exists a non zero x such that Ax=0 that is,
\(\Rightarrow x(\ne0)\in R^n\text{ such that Ax=0}\)Then by linearity of A, every scalar multiple of x is mapped to zero by A.
Therefore, the system yields an infinite number of solutions.
Therefore, the statement is a true statement.
A pyramid with volume 40 cubic inches has a rectangular base. If the length of the base is doubled, the width tripled and the height increased by 50%, what is the volume of the new pyramid, in cubic inches
Answer:
\(26.666666667\)
Step-by-step explanation:
To find the volume of a pyramid, you can use the formula:
Volume = (1/3) * base area * height
If the base is a rectangle, the base area is calculated by multiplying the length by the width.
Let's call the original length "L", the original width "W", and the original height "H".
The volume of the original pyramid is:
(1/3) * L * W * H = 40 cubic inches
If the length of the base is doubled, the new length is 2L.
The width is tripled, so the new width is 3W.
The height is increased by 50%, so the new height is 1.5H.
The volume of the new pyramid is:
(1/3) * (2L) * (3W) * (1.5H) = (2/3) * L * W * H = (2/3) * 40 cubic inches = 26.666666667 cubic inches.
So the volume of the new pyramid is approximately 26.666666667 cubic inches.
A marine biologist measured one fish that was 9/10 of a foot long and a second fish that was 7/10 of a foot long. How much longer was the first fish?
Write your answer as a fraction or as a whole or mixed number.
Answer:
2/10 of a foot long.
Step-by-step explanation:
Answer:
The first fish was 1/3 of a foot longer.
mark me brainlest
Step-by-step explanation:
1/2=3/6
3/6>1/6
3/6-1/6=2/6
2/6 / 2/2
1/3
An international fast food chain is looking at opening a new franchise in Emerald, Queensland. They contact a marketing research firm to help them assess the level of interest in the restaurant within the town. From a list of all the residential addresses in Emerald, the firm selects a simple random sample of 100 and mails a brief questionnaire to each. The population of interest is
Select one:
a. all people in Emerald, Queensland.
b. all adults in Emerald, Queensland.
c. the 100 addresses to which the questionnaire was mailed.
d. the people in Emerald who eat fast food.
e. all residential addresses in Emerald, Queensland.
The population of interest is: A. all people in Emerald, Queensland.
The population of interest refers to the group of individuals that the research is trying to draw inferences about. In this case, the international fast food chain is looking to assess the level of interest in opening a franchise in Emerald, Queensland.
Therefore, the population of interest is all people who live in Emerald, Queensland, as they are the group that the research is trying to understand. The sample of 100 addresses that the research firm selected is just a subset of this population and the questionnaires are being sent to them to infer about the entire population.
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Srivatsa painted 3/5 of a wall. How much is left to be painted?
Answer:
2/5
Step-by-step explanation:
This is because the whole wall is 5/5 (5/5 = 1 whole).
5/5 - 3/5 = 2/5
When we add or subtract like fractions, we ignore the same denominator, and just add or subtract the numerator.
Hope this helps.
Solve for x in simplest form. 9=1/4 (6x+12)
Answer:
x=4
Step-by-step explanation:
9=1/4 (6x+12)
Multiply each side by 4
4*9 =4*1/4 (6x+12)
36 = (6x+12)
Subtract 12 from each side
36-12 = 6x+12-12
24 = 6x
Divide each side by 6
24/6 = 6x/6
4 =x