A product's demand in each period follows a Normal distribution with mean 50 and standard deviation 6. The order up to level S is 225. Lead time is 3 periods. What is the stock out probability ? Show all calculations, formulas used and results.
The stockout probability is extremely small, as the z-score of 7.22 corresponds to a very high demand compared to the available stock.
What is probability?
Probability is a fundamental concept in mathematics and statistics that quantifies the likelihood of an event occurring. It represents a numerical measure between 0 and 1, where 0 indicates an event is impossible, and 1 denotes the event is certain to happen.
Given:
Mean demand per period\((\(\mu\))\) = 50
Standard deviation of demand per period\((\(\sigma\))\)= 6
Order-up-to level \((\(S\)) = 225\)
Lead time \((\(L\)) = 3 periods\)
We can calculate the demand during the lead time as follows:
Mean demand during the lead time: \(\(\mu_L = \mu \times L\)\)
Standard deviation of demand during the lead time:\(\(\sigma_L = \sigma \times \sqrt{L}\)\)
Substituting the given values, we have:
\(\(\mu_L = 50 \times 3 = 150\)\(\sigma_L = 6 \times \sqrt{3} \approx 10.39\)\)
To calculate the stockout probability, we need to compare the demand during the lead time to the available stock. Since the demand follows a Normal distribution, we can use the z-score formula:
\(\(z = \frac{S - \mu_L}{\sigma_L}\)\)
where \(S\) is the order-up-to level.
Substituting the values, we have:
\(\(z = \frac{225 - 150}{10.39} \approx 7.22\)\)
We can then use a standard Normal distribution table or a statistical software to find the probability of a z-score being greater than 7.22. The stockout probability is equal to this probability.
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Please help.
Is algebra.
Determine if the side lengths could form a triangle. 18 m, 21 m, 39 m
Answer:
No
Step-by-step explanation:
According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third ...
18 + 21 = 38 are not more than 39
Answer:No,the side of lengths 18m,21m and 39m could not form a
Step-by-step explanation:
To form a triangle, the sum of any two sides must be greater than the third side.
here,
18m + 21m = 39m
the sum to two side is equal to third side that is 39m
that's why these three sides cannot form any triangle
Draw a triangle with vertices (2, 1), (4, 2), and (2, 4). Then perform the following transformation: a 180° rotation about the origin.
Answer:
To perform a 180° rotation about the origin, we simply switch the signs of the coordinates and flip them across the x-axis. So, the new coordinates of the vertices will be:
(2, 1) -> (-2, -1)
(4, 2) -> (-4, -2)
(2, 4) -> (-2, -4)
Plotting these points and connecting them, we get the triangle:
(2, 4)
*
/ \
/ \
(-2, -4)---(-4, -2)
(2, 1)
After the 180° rotation, the triangle is flipped upside down and its position is mirrored across the origin.
Step-by-step explanation:
Hey, I need some advice... so I want to become a nurse and go to UNCC and I wanna be something of myself and prove to all the people that don't believe in me that I can do something with myself without people helping me yk but the thing is that I'm so caught up in this person and they bring a lot of drama with them and it's not helping me become independent so who has some advice?
Answer:
I have advice
Step-by-step explanation:
I recommend you leave that person. because you said all your problems are coming from that one person.
Answer:
Hi, follow your heart.... yes, it will guide you right path.
you can achieve all your goals.
ask your brain whenever you feel dilemma because not all glitter is gold...
Step-by-step explanation:
what every new nurse needs:
Practice Effective Communication
Develop Critical Thinking/Critical Reasoning.
Cultivate a positive work environment
Practice firm body language
Time management
Blake's test scores are 86, 70, 72, 100, 96, and 80. Which score must Blake earn on his next test to have a mean grade of exactly 85? Choices: 85, 88, 84, 91
Answer:
91
Step-by-step explanation:
decide if the first number is a factor or the second number with a yes or no.
a. 9; 74,520
b, 3; 876
how did you find x? pls answer
Answer:
x = 8 degree
Step-by-step explanation:
8x - 4 = 60 degree (being alternate interior angle)
8x = 60 + 4
8x = 64
x = 64/8
x = 8 degree
Answer:
\( both \: are \: alternate \: interior \: angle \\ \\ = > both \: are \: equal \: \: \: \: \: \: \: \: \: \: \: \\ \\ = > (8x - 4) = 60 \: \: \: \: \: \: \\ \\ = > 8x \: = \: 60 + 4 \\ \\ = > 8x = 64 \\ \\ = > x = 64 \div 8 \\ \\ = > x = 8 \: \\ \\ hope \: it \: is \: helpful \: to \: you\)
3(x+2)=5x-7
Work out value of x
Answer:
first distribute:
3x+6=5x-7
then combine the x's:
-2x+6=-7
get rid of the 6:
-2x=-13
divide the 2:
6.5
Step-by-step explanation:
Answer:
x = 13/2
Step-by-step explanation:
3(x+2) = 5x-7 3x+6 = 5x-73x-5x = -7-6-2x = -13x = -13/-2x = 13/2Which is the composite number: 29, 39, 59, and 79
Answer:
39! hehehehehe yes yes ok
Hey, I've been struggling with for a while today and my teacher did a horrible job at explaining. I need help finding the values of M1 and M2.
Answer:
43°
Step-by-step explanation:
angle 1 and Angle 2 are corresponding angles. app they are equal.
73-2x = 88-3x
x = 15
angle 1 = 73-(2*15) = 43
angle 2 = 88-(3*15) = 43
-1.2 times 3.4 but determine the sign would it be positive or negative
Marcus plans to buy 3 items at the flea market. The items cost $9.85, $12.50, and $12.05. He estimated the total cost by rounding each price to the nearest dollar. Which most closely estimates what Marcus will pay for the 3 items?
Answer:
The answer is $30.00.
shryia read a 481 481481-page-long book cover to cover in a single session, at a constant rate. after reading for 1.5 1.51, point, 5 hours, she had 403 403403 pages left to read. how fast was shryia reading? pages per hour how long did it take her to read the entire book? hours
Shryia was reading at a speed of 524.67 pages per hour, and it took her approximately 917.06 hours to read the entire book.
To find Shryia's reading speed, we can use the formula:
\(reading speed = (total pages - pages left) / time\)
We are given that the book has 481481481 pages, and after reading for 1.5 1.51, point, 5 hours, Shryia had 403403403 pages left to read. So, the total number of pages she read is:
481 - 403 = 787
The time taken to read these pages is:
1.5 hours
So, her reading speed is:
reading speed = 787 / 1.5 = 524.67 pages per hour
To find how long it took her to read the entire book, we can use the formula:
time = total pages / reading speed
So, the time taken to read the entire book is:
time = 481481481 / 524.67 ≈ 917.06 hours
Therefore, Shryia was reading at a speed of 524.67 pages per hour, and it took her approximately 917.06 hours to read the entire book.
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solve for t and find the value for t if I= 115, P=650, r=5%
I= Prt
When X 2 X 1 is divided by x Then remainder?
The remainder of given equation is 1.we can find by using polynomial remainder to find the remainder of given equation.
what is polynomial remainder theorem?The remainder theorem is that if a polynomial p(x) is divided by (x−a), then the remainder is a constant given by p(a). we divide a polynomial P(x) by a factor ( x – a).It is not essentially an element will of the polynomial.
How do we find polynomial remainder theorem?when a polynomial is p ( a ) is divided by another binomial ( a – x ), then the remainder of the end result that is obtained is p ( x ).Finding the remainder is an easy method. We need to just divide the number by another number with its multiples and get the remainder.
Now we have equation
p(x)= \(x^{2}\)+x+1
x+1=0 x=-1
p(-1)= (\(-1^{2}\)) +(-1) +1
p(-1) = 1-1+1
p(-1) = 1
Hence we find the remainder by remainder theorem.
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State the value of 'x' in this equation, and explain why you know this to be true without doing any calculations.
\(5^x = 5^9\)
Answer:
x=9
if
a^b = a^c
then b=c
so in this case x=9
The control limits, calculated as three standard deviations from the sample mean, imply that _________ of the sample points are expected to fall between the upper and lower control limits.
Answer: 99.7%
Step-by-step explanation:
A control chart is used in the identification of the assigned causes of variation for a process. The control limits are refered to as the horizontal lines that are below and above the center line which are used in judging whether a particular process is out of control.
In this case, the control limits, which is calculated as three standard deviations from the sample mean, simply means that about 99.7% of the sample points will be expected to fall between upper and lower control limits.
Help ASAP please!!
If f(x)=x^2+3x+5, what is f(a+h)?
The expression for f(a + h) is a² + 2ah + h² + 3a + 3h + 5.
Option A is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = x² + 3x + 5
f(a + h):
= (a + h)² + 3(a + h) + 5
= a² + 2ah + h² + 3a + 3h + 5
Thus,
The value of f(a + h) is a² + 2ah + h² + 3a + 3h + 5
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Can someone help me with my assignment i will give you alot of points if you do
Answer:
Step-by-step explanation:
This property says you can write 3 x (4 + 5) as (3 x 4) + (3 x 5).
Answer:
distributive property
Step-by-step explanation:
Answer:
Yes. It works.
Step-by-step explanation:
3 x (4 + 5) = First you have to add 4 + 5 since it's in parentheses, and whatever is in parentheses, you have to do it first. so 4+ 5 = 9. Then you multiply 9 by 3 which gives you 27.
(3 x 4) + (3 x 5) is equivalent to 3 x (4 + 5).
First you do whatever is in parentheses, since they're both in parentheses, I don't think it matters which you do first, but I would do the first problem. 3 x 4 is equal to 12, then 3 x 5 is equal to 15, so you add your answers. 12 + 15 = 27.
So, you can write 3 x (4 + 5) as (3 x 4) + (3 x 5) = 27. They both equal to 27. Hope this clarifies your question.
Also the property is called the distrubitive property.
A rectangular wall is 16 feet wide by 24 feet long. A contractor is looking to tile the wall with square tiles with a side length of 2 feet. If there is no gap left between any of the tiles, how many tiles would the contractor use to completely cover the wall?
Answer:
96 square tiles are needed
Step-by-step explanation:
To calculate this, the first thing we need to do is calculate the total area covered by the rectangular wall.
Mathematically, the area of the rectangle = 16 * 24 = 384 ft^2
The next thing we need to do is calculate the area of the square tiles = L^2 = 2^2 = 4 ft^2
the number of square tiles needed = Area of rectangular wall/Area of square tiles = 384/4 = 96
A triangle is formed by the building's height and shadow. Another triangle is formed by the flagpole's height and shadow. Using the following diagram, find the height of the building. Show work.
Answer:
475 ft
Step-by-step explanation:
\(\frac{x}{25}\) = \(\frac{38}{2}\)
cross multiply
2x = 950
x = 475
The height of the building is 475 ft.
What are similar triangles?In similar triangles, corresponding sides are always in the same ratio.
Given that, a triangle is formed by the building's height and shadow. Another triangle is formed by the flagpole's height and shadow.
The triangles are forming similar triangles,
Let the height of the building be x
Therefore, x/25 = 38/2
x = 475
Hence, The height of the building is 475 ft.
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What type of ANOVA is used when there are two independent variables each with more than two levels, and with different participants taking part in each condition
The type of ANOVA used when there are two independent variables each with more than two levels, and with different participants taking part in each condition is called a Two-Way Between-Subjects ANOVA.
This type of ANOVA examines the effects of two independent variables on a dependent variable. The two independent variables are referred to as factors, and each factor has multiple levels or conditions. The between-subjects design means that each participant only takes part in one condition of each factor.
This type of ANOVA allows researchers to determine if there are significant main effects and interactions between the two independent variables on the dependent variable.
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HELP FAST! 100 POINTS
Answer:
F(8,6)
Step-by-step explanation:
(x₁,x₂) --> E (-7, 2)
F(x₂,y₂)
Midpoint M(0.5 , 4)
Midpoint = \((\frac{x_{1}+x_{2}}{2},\frac{+y_{1}+y_{2}}{2})\)
\((\frac{-7+x_{2}}{2},\frac{2+y_{2}}{2}) = (0.5, 4)\\\\\)
Compare x,coordinates and y-coordinates,
\(\frac{-7+x_{2}}{2}= 0.5 \ ; \ \frac{2+y_{2}}{2}=4\\\\\)
-7 + x₂ = 0.5*2 ; 2+y₂ = 4*2
-7+ x₂ = 1 ; 2 +y₂ = 8
x₂ = 1+ 7 ; y₂ = 8 - 2
x₂ = 8 ; y₂ = 6
F(8,6)
Answer:
F(8,6)
Step-by-step explanation:
(x₁,x₂) --> E (-7, 2)
F(x₂,y₂)
Midpoint M(0.5 , 4)
Midpoint =
Compare x,coordinates and y-coordinates,
-7 + x₂ = 0.5*2 ; 2+y₂ = 4*2
-7+ x₂ = 1 ; 2 +y₂ = 8
x₂ = 1+ 7 ; y₂ = 8 - 2
x₂ = 8 ; y₂ = 6
F(8,6)
If you push a skateboard with a force of 6 N. If your mass is 60kg, what is the force that the skateboard exerts on you?
What is the measure of Segment AB if Segment BD is 10?*
Answer:
10
Step-by-step explanation:
all sides of square are the same
in a math class, tests are 50% of your grade, homework is 30% of your grade, test reviews are 5% of your grade, and the final exam is 15% of your grade. at the end of the semester, your test average is 59, your homework average is 90, and your review average is 72. what score do you need on the final exam to get a c (72%) in the class? (round your answer to 2 decimal places.)
The score needed on the final exam to achieve a C grade is 79.33, rounded to 2 decimal places.
Homework is worth 30% of the grade, which is also a significant portion. The average homework score is 90, which means the average of all homework scores is 90.
Test reviews are only worth 5% of the grade, so they have the smallest impact on the overall average. The average test review score is 72, which means the average of all test review scores is 72.
Finally, the final exam is worth 15% of the grade, and we need to find out what score is needed on the final exam to achieve a C grade, which is 72%.
To calculate the overall average, we can use the weighted average formula.
Overall Average = (Tests Average x 0.5) + (Homework Average x 0.3) + (Test Reviews Average x 0.05) + (Final Exam Score x 0.15)
Substituting the values we know, we get:
Overall Average = (59 x 0.5) + (90 x 0.3) + (72 x 0.05) + (Final Exam Score x 0.15)
Simplifying this equation, we get:
Overall Average = 29.5 + 27 + 3.6 + (Final Exam Score x 0.15)
Overall Average = 60.1 + (Final Exam Score x 0.15)
To get a C grade, the overall average needs to be 72%. So we can set up an equation and solve for the Final Exam Score:
72 = 60.1 + (Final Exam Score x 0.15)
Solving for Final Exam Score, we get:
Final Exam Score = (72 - 60.1) / 0.15
Final Exam Score = 79.33
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An apartment complex rents an average of 2.3 new units per week. If the number of apartments rented each week has a Polsson distribution, then the probability of renting exactly three apartments in a week is ....
The probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.
If the average number of units rented per week is 2.3 and the distribution is Poisson, then the parameter lambda is also equal to 2.3.
The probability of renting exactly three apartments in a week is given by the Poisson probability function:
\(P(X = 3) = (e^(-lambda) * lambda^x) / x!\)
Substituting the values, we get:
\(P(X = 3) = (e^(-2.3) * 2.3^3) / 3!\)
P(X = 3) = (0.09963 * 12.167) / 6
P(X = 3) = 0.2018
Therefore, the probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.
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Can someone please help solve this and show me the formula of how to do it?
Answer:
f=2.93cm
Step-by-step explanation:
SOH CAH TOA [the length you are finding is adjacent to the angle and opposite to right angle is the hypotenuse, therefore use cosine]
cos(43°)=f/4
[times 4x on both sides it cancels on the left]
4cos(43°)=f
2.93=f