Answer:
R = 2414 units
0.794
Step-by-step explanation:
Given:
Weekly demand, D = 331 units
Lead time (L)= 6 weeks
Standard Deviation (SD) = 85 units
The reorder point is calculated using the relation :
R = D*L + z*(SDw)
SDw = the standard deviation with lead time of 6 weeks ; √6 * 85 = 208.21
z = NORMSINV(0.98) = 2.05
R = (331 * 6) + (2.05 * 208.21)
R = 1986 + 428.122
R = 2414.122
R = 2414 units
The Safety stock, SS
SS = z * SDw
SS = 2.05 * 208.21
SS = 426.8305 units
60% reduction :
426.8305 * (1 - 60%)
= 170.7322
= 171 units
The new service probability ;
SS = z * SDw
171 = z * 208.21
z = 171 / 208.21
z = 0.82
P(Z < 1.02) = 0.7938 = 0.794 = 79.4%
Here is some record keeping from a coffee shop about their paper cups. Cups are delivered 2,000 at a time. day change Monday +2000 Tuesday -125 Wednesday -127 Thursday +1719 Friday -356 Saturday -782 Sunday 0 1. Explain what a positive and negative number means in this situation. PLEASE HELP ME
Answer: the numbers with the plus sign are positive and the ones with the negative sign are negative
Step-by-step explanation:
If Sarah turns 15 on august 27 and her graduation year is 2024 how old will she be when she graduates high school?
Answer:
She will be 17
Step-by-step explanation:
My sister is like that but she's graduating in 22'
It sort of depends where Sarah lives -.-
But if she starts high school when she's 15 (in 2021) and she graduates in 2024 it means high school is three years.
So 15 plus 3.
Sarah will be 18 when she graduates high school.
what is the value of this expression
log2^8 + log3(1/3)
Answer:
2
Step-by-step explanation:
log2^8 + log3(1/3)
=>3 + (-1)
=>2
Hi if you have a 65% grade can a 80% bring it up to a C 70%
Answer:
Not a 70%, but a 72.5% (or a 73%)
Step-by-step explanation:
Assuming that the 65% is the first grade and the 80% is your second, adding both numbers and dividing by 2 will get you 72.5%.
The best possible grade you can get from that 65% is an 82.5%, or 83% if you round the grade up. 100+65=165÷2 will get you 82.5.
Which is the polynomial function of lowest degree with leading coefficient of 4 and roots 7 and 3?
O f(x)= x2 – 3x-+3-17
O f(x)= 4x² -1245x+3/7
O f(x)=x2 – 3x? – X+21
O x) = 4x° - 12x - 28x+84
Answer:
Step-by-step explanation:
If the roots are 7 and 3, then x = 7 and x = 3 are solutions. In factor form, x = 7 is (x - 7); in factor form, x = 3 is (x - 3). We FOIL these together to get
[tex]x^2-3x-7x+21[/tex] which simplifies to
[tex]x^2-10x+21[/tex] and we distribute in the 4:
[tex]4(x^2-10x+21)[/tex] to get
[tex]4x^2-40x+84[/tex] which is another way to write the last choice you're given.
Which is the graph of the parent function f(x) = x2?
Answer:
it should look like a U shape. Its called a parabola
(0,0) is the bottom center.
Step-by-step explanation:
The storage container below is in the shape of a rectangular prism with a height of 6 feet and a length that is 2 feet more than its width.
Recall that the formula for the volume of a rectangular prism is V = l · w · h, where l is the length, w is the width, and h is the height.
Write the equation that represents the volume of the storage container in terms of its width.
A.
V = 6w2 + 12w
B.
V = 6w2 - 12
C.
V = 6w2 + 12
D.
V = 6w2 - 12w
Answer:
A
Step-by-step explanation:
Step 1, setting variables:
We already know the exact height of the prism: 6 feet. We can set the unknown width as variable x, and length as x+2 (length is two feet more than width).
Step 2, writing equations:
Great! We have everything now. Let us write the equation by substituting our variables in:
[tex]V=l*w*h\\V=6w(w+2)\\[/tex]
Ok! Let us expand the equation:
[tex]V=6w^2+12w[/tex]
[tex]\fbox{A}[/tex]
I hope this helps! Let me know if you have any questions :)
Kyle works at a donut factory, where a 10-oz cup of coffee costs 95¢, a 14-oz cup costs $1.15, and a 20-oz cup costs $1.50. During one busy period, Kyle served 14 cups of coffee, using 204 ounces of coffee, while collecting a total of $16.70. How many cups of each size did Kyle fill?
Kyle filled ___ 10-oz cup(s), ___ 14-oz cup(s), and ___ 20-oz cup(s).
Answer:
Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.
Step-by-step explanation:
Let 10-oz, 14-oz, and 20-oz coffees be represented by the variables a, b, and c, respectively.
Since a total of 14 cups of coffee was served:
[tex]a+b+c=14[/tex]
A total of 204 ounces of coffee was served. Therefore:
[tex]10a+14b+20c=204[/tex]
A total of $16.70 was collected. Hence:
[tex]0.95a+1.15b+1.5c=16.7[/tex]
This yields a triple system of equations. In order to solve a triple system, we should isolate the system to only two variables first.
From the first equation, let's subtract a and b from both sides:
[tex]c=14-a-b[/tex]
Substitute this into both the second and third equations:
[tex]10a+14b+20(14-a-b)=204[/tex]
And:
[tex]0.95a+1.15b+1.5(14-a-b)=16.7[/tex]
In this way, we've successfully created a system of two equations, which can be more easily solved. Distribute:
For the Second Equation:
[tex]\displaystyle \begin{aligned} 10a+14b+280-20a-20b&=204\\ -10a-6b&=-76\\5a+3b&=38\end{aligned}[/tex]
And for the Third:
[tex]\displaystyle \begin{aligned} 0.95a+1.15b+21-1.5a-1.5b&=16.7\\ -0.55a-0.35b&=-4.3\end{aligned}[/tex]
We can solve this using substitution. From the second equation, isolate a:
[tex]\displaystyle a=\frac{1}{5}(38-3b)=7.6-0.6b[/tex]
Substitute into the third:
[tex]-0.55(7.6-0.6b)-0.35b=-4.3[/tex]
Distribute and simplify:
[tex]-4.18+0.33b-0.35b=-4.3[/tex]
Therefore:
[tex]-0.02b=-0.12\Rightarrow b=6[/tex]
Using the equation for a:
[tex]a=7.6-0.6(6)=4[/tex]
And using the equation for c:
[tex]c=14-(4)-(6)=14-10=4[/tex]
Therefore, Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.
2/5+3/7 is the same as?
Answer:
29/35
Step-by-step explanation:
Least common denominator of 5 and 7 is 35
[tex]\frac{2}{5}=\frac{2*7}{5*7}=\frac{14}{35}\\\\\frac{3}{7}=\frac{3*5}{7*5}=\frac{15}{35}\\\\\frac{2}{5}+\frac{3}{7}=\frac{14}{35}+\frac{15}{35}\\\\ \ = \frac{14+15}{35}\\\\ = \frac{29}{35}[/tex]
Farmer Jane would like to show a net profit of $1,000 per month. She is growing tomatoes and sells them for $3 per pound. Her variable costs per pound are $1, and she has $700 in fixed cost. How many pounds does she need to sell?
Answer:
850
Step-by-step explanation:
Each pound of tomatoes costs one dollar to produce, and sells for three dollars. That's a net profit of 2 dollars per pound of tomatoes.
We need a profit of 1000 dollars, and to pay the 700 dollars in operating costs, for a total of 1700 dollars needed.
So 1700 dollars divided by 2 dollars per pound of tomatoes comes out to 850 pounds of tomatoes.
Find two integers whose sum is -5 and product is -36
Answer:
-6 & 6
Step-by-step explanation:
-6 time 6 is -36
Answer:
-9+4= -5
Step-by-step explanation:
-9 times 4= -36
Negative Nine plus four equals negative five
negative Nine times four equals negative thirty six
If 5(y-2) - 3(y + 4) = 0, then y
IS
A. -1
B. 3
C. 7
D. 11
Answer:
Y is -1.
Step-by-step explanation:
If you substitute the values, you find that that's the correct answer.
Share 30 000 bags of 20kg rice in the ratio 2:3:4:6 among Villages A, B, C and D in that order. (2 marks) How many bags of 20 kg rice will Villages B and C get?
Answer:
2+3+4+6 = 15 parts
Village B gets 3 of 15 parts
3/15 * 30000 = 6000 bags
Village C gets 4 of 15 parts
4/15 * 6000 = 8000 bags
Answer:
each "share" needs "15" (2+3+4+6) "portions/bags"
2000 distributions
A-4000 bags/80000 kg
B-6000 bags/120000 kg
C-8000 bags/1680000 kg
D-12000 bags/240000 kg
Step-by-step explanation:
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW. Use the following for problems 22-25
Problem 22
a)
The face cards are Jack, Queen, King. We have four copies of each.
There are 3*4 = 12 face cards total.
12/52 represents the probability of picking a face card.
4/52 represents the probability of picking an ace, since we have 4 aces out of 52 cards. We don't drop to 51 since we put the first card back.
Multiplying the fractions gives (12/52)*(4/52) = 48/2704 = 3/169
Answer: 3/169----------------------
b)
We do the same steps as before, but the 4/52 will be changed to 4/51. This is because the first card is not put back.
(12/52)*(4/51) = 48/2652 = 4/221
Answer: 4/221========================================================
Problem 23
a)
4/52 represents the probability of picking a '2', and it also represents the probability of picking a '10' if we put the first card back
(4/52)*(4/52) = 16/2704 = 1/169
Answer: 1/169----------------------
b)
We'll change the second instance of 4/52 into 4/51 because that first card isn't put back
(4/52)*(4/51) = 16/2652 = 4/663
Answer: 4/663========================================================
Problem 24
a)
4/52 = probability of picking an ace
12/52 = probability of picking a face card
4/52 = probability of picking '7'
Each denominator is 52 because we are putting the cards back
(4/52)*(12/52)*(4/52) = 192/140608 = 3/2197
Answer: 3/2197----------------------
b)
We do the same thing as before, but we decrease the denominator by 1 each time we pull out another card
(4/52)*(12/51)*(4/50) = 192/132600 = 8/5525
Answer: 8/5525========================================================
Problem 25
a)
The probability of picking a king is 4/52. This is the same whether we're on the first king, second or third. This is because we're putting the card back.
(4/52)*(4/52)*(4/52) = 64/140608 = 1/2197
Answer: 1/2197----------------------
b)
Now that the cards aren't put back, we'll have the denominators drop by 1 each time (52,51,50)
So the probability is
(4/52)*(4/51)*(4/50) = 64/132600 = 8/16575
Answer: 8/16575give one reason why people loan money from the bank
Step-by-step explanation:
We borrow money because we want to buy something. It may be as large as a property or a car, or something smaller like furniture or a computer. We may borrow money to spend it on experiences. It may be something as large as a loan to travel the world, to something smaller, like using a credit card for a meal out.
What are the roots of the quadratic equation below?
2x2 + 8x + 7 = 0
ANSWER ASAP!
Answer:
x = 2 ± [tex]\frac{\sqrt{2} }{2}[/tex]
Step-by-step explanation:
Planes A and B intersect.
Which describes the intersection of line m and line n?
P
m
2
O point w
O point X
Opoint Y
point Z
.
n2
X
Y
W
k
.
V
2
-
Answer:
I think about point Y ......
If planes A and B intersect, point w describes the intersection of line m and line n.
What is Coordinate system?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements.
In the given figure, the planes A and B intersected.
We have to find the point where the line l and line m intersects.
The intersection of a line and a line can be the empty set, a point, or another line.
Two straight lines will intersect at a point if they are not parallel.
The point of intersection is the meeting point of two straight lines.
The lines m and line n are intersected at the point w.
Hence, if planes A and B intersect, point w describes the intersection of line m and line n.
To learn more on Coordinate system click:
https://brainly.com/question/29762404
#SPJ7
A fast-food chain claims one medium order of its onion rings weighs 114 grams. Patrice thinks she is getting less than what the restaurant advertises. She weighs the next 16 random orders of onion rings before she eats them and finds the sample mean is 112.4 grams and the standard deviation is 7.63 grams. What conclusion can be drawn α = 0.10?
Answer:
Patrice does not have sufficient evidence to reject the fast-food chain's claim.
Step-by-step explanation:
unless she already ate some fries, not enough evidence
In order for the data in the table to represent a linear
function with a rate of change of +5, what must be the
value of a?
Answer:
Step-by-step explanation:
Answer: C) a=18
Step-by-step explanation: Hope i helped :)
Tell whether the shape appears to have zero lines, 1 line, or more than 1 line of symmetry. Select zero, 1, or more than 1. There is/are ? line(s) of symmetry.
Answer:
This Symbol has 4 lines of Symmetry
What are the coordinates of the point that is 3/8 of the way from A(-8, -9) to B (24, -1)
(-6,4)
(-2,4)
(4,-6)
(12,-4)
Answer:
C. (4, -6)
Hope it helps :)
I. Read each question carefully, then write the letter of the correct answer.
1. What is the relationship of the volume between a prism and a pyramid of the same dimensions?
A. the volume of the pyramid is 2/3 of the volume of the prism
B. the volume of the pyramid is 3/3 of the volume of the prism
C. the volume of the pyramid is 1/3 of the volume of the prism
D. the volume of the pyramid is 3/2 of the volume of the prism
2. The volume of a cone is the volume of a cylinder if both are of the same dimensions.
A. double B. thrice
C. twice
D. 4 times
3. How many cones can fill the whole sphere with the same dimension?
A. 1
B. 2
C.3
D.4
4. If the volume of a cylinder is 120 m3, what will be the volume of a cone with the same dimension?
A.180m3
B. 60 m3
C. 40 m3
D. 30 m3
5. What is the length of the edge of a cube if it has a volume of 27 cubic inches?
A. 9 in
B. 6 in
C. 3 in
D. 2 in
Answer:
The answer for number 1 is C
Amanda, Bryan, and Carl are about to compete in 100
mixed IM swimming events. These are the only three
swimmers competing in this event. They are all working
hard to win first place.
How many different possible ways could the 3 swimmers
place?
2
9514 1404 393
Answer:
6
Step-by-step explanation:
Any of the three can be in first place.
Any of the remaining two can be in 2nd place.
The remaining swimmer will be in 3rd place.
There are 3 × 2 × 1 = 6 possible orderings of the swimmers.
Can :) mean happily taken on a bio? Alex got it on his?
Answer ASAPPPP
Someone
Answer:
Yes,
Step-by-step explanation:
When " :) " is used in a bio it means the person is happy
I have 8 carrots my Brother Ate 2
How Much I have left?
Answer:
6?Step-by-step explanation:
..........................
How many natural numbers are there between 8² and 9² ?
Answer:
19
Step-by-step explanation:
Answer:
i think the answer 17
81-64 =17Belief in UFOs A survey found that of people believe that they have seen a UFO. Choose a sample of people at random. Find the probability of the following. (a) At least 3 people believe that they have seen a UFO.(b) 2 or 3 people believe that they have seen a UFO.
Answer:
b is the answer am not sure you know
Answer:
a) 3/10
b)3/10
Step-by-step explanation:
let the sample of people be 10
so,
a) total outcome=10
favourable outcome=3
P(seeing a UFO)= 3/10
b) total outcome=10
favourable outcome=2 or 3
P(seeing a UFO)= 2/10+3/10-(2/10
5/10-2/10
=3/10
A bill originally amounting Rs 1550, now amounts to Rs 1736 after adding VAT. Find the VAT rate.kaabil original amounting
Answer: 12%
Step-by-step explanation:
Original amount = Rs 1550
VAT = Rs 1736 - Rs 1550 = Rs 186
VAT rate = VAT/Original amount × 100
= 186/1550 × 100
= 18600/1550
= 12%
Therefore, the VAT rate is 12%.
Check:
= Rs 1550 + (12% × Rs 1550)
= Rs 1550 + $186
= Rs 1736
A bag contains 10 red marbles, 8
blue marbles and 2 yellow
marbles. What is the probability of
getting a blue marble?
Natural logs can be written as _______.
Answer:
Step-by-step explanation:
The natural logarithm of x is generally written as ln x, loge x, or sometimes, if the base e is implicit, simply log x.
Answer:
Ln x as opposed to log x
Step-by-step explanation:
