A run is a series of points on a control chart that are sequentially increasing or decreasing. The correct option is (a).
A run on a control chart refers to a series of consecutive data points that exhibit a specific pattern, either increasing or decreasing sequentially.
Runs can provide valuable insights into the behavior of a process being monitored.
If all runs on a control chart are sequentially increasing or decreasing, it suggests a consistent and systematic shift in the process, indicating that the process is out of control.
This pattern could be indicative of a specific problem or change in the process that needs attention and corrective action.
On the other hand, if all runs on the control chart fall within expected random variation limits, it indicates that the process is in control.
In this case, the points may fluctuate randomly above and below the control limits (CL), demonstrating natural variation within acceptable bounds.
However, if the runs on the control chart randomly alternate between points above and below the control limits (CL), it could indicate a lack of stability or predictability in the process.
This pattern may suggest the presence of special causes or external factors impacting the process, potentially requiring investigation and intervention.
In summary, a control chart with runs that are sequentially increasing or decreasing implies an out-of-control process, while runs that are all within control limits indicate an in-control process.
Random alternation between points above and below the control limits signifies potential instability or special causes affecting the process.
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Sarah goes to dinner with two friends the total cost of dinner is $61.92 her friends pay 2/3 of the total cost exactly how much does Sarah pay
Answer:
the amount paid by Sarah is $20.64
Step-by-step explanation:
Given that
The total cost of the dinner is $61.92
And her friends pay 2 by 3
We need to find out the amount paid by Sarah
Since her friends pay 2 by 3 of the total cost
That means the remaining should be paid by Sarah i.e. 1 by 3
So, we need to multiply 1 by 3 with the total cost of the dinner i.e.
= 1 ÷3 × $61.92
= $20.64
Hence, the amount paid by Sarah is $20.64
The total cost for 10 pairs of headphones, including shipping was $125. The shipping charge was $15. What was the cost of each pair of headphones? Write and an equation and find the solution.
Answer:
y=15+12.5xStep-by-step explanation:
given data
chipping charge= $15
cost of 10 pair= $125
le the cost of 1 pair be x
given that 10 pairs cost $125
then 1 would cost x
cross multiply we have
10x=$125
x= 125/10
x=$12.5
therefore the equation for the solution is
let y be the total cost
y=15+12.5x
SOMEONE PLEASE HELP ME ANSWER THIS QUESTION!!
I’LL MARK YOUR ANSWER AS BRAINLIEST ANSWER!!
Answer:
a) 30 b) 21 c) 153
Step-by-step explanation:
a) 5 squares * 6 = 30 phones
b) 3.5 squares * 6 = 21 phones
c) 25.5 squares * 6 = 153 phones
Oil flows back and forth between a small and large tank. When oil is moving into the large tank, the flow rate is positive. When oil is moving into the small tank, the flow rate is negative.
The large tank begins with 600 gallons of oil. The flow rate is recorded as –4 gallons per minute. After a period of 32 minutes, how much oil has been moved and to which tank?
into the
tank.
After the 32 minutes, how much oil is in the large tank?
gallons
Answer:
MY GOD...
C,B,A!
Step-by-step explanation:
Henry and Liani have 200 feet of wood to frame a flower bed. Henry wants the bed to be a square, while Liani wants it to be a rectangle with dimensions of 55 feet and 45 feet. Which statement is true regarding the areas of the two flower beds? Henry's design would result in a larger flower bed because its area would be 2,500 square feet. Liani's design would result in a larger flower bed because its area would be 2,500 square feet. Henry's and Liani's designs would result in flower beds with the same area. Henry's and Liani's designs are not possible with the given amount of wood.
Answer:
A. Henry's design would result in a larger flower bed because its area would be 2,500 square feet.
Step-by-step explanation:
A. Henry's design would result in a larger flower bed because its area would be 2,500 square feet.
B. Liani's design would result in a larger flower bed because its area would be 2,500 square feet.
C. Henry's and Liani's designs would result in flower beds with the same area.
D. Henry's and Liani's designs are not possible with the given amount of wood.
Length of wood = 200 feet
Henry's square bed design = 200 feet / 4
= 50 feet
Note: A square has 4 equal sides, hence, the division by 4
Each side of the square bed = 50 feet
Area of the square bed = length ²
= (50 feet)²
= 2,500 square feet
Liani rectangular bed design
Length = 55 feet
Width = 45 feet
Note: adding of 2 length and 2 width = 200 feet
That is,
2(55) + 2(45)
= 110 + 90
= 200 feet of wood
Area of Liani rectangular bed design = length × width
= 55 feet × 45 feet
= 2,475 square feet
A. Henry's design would result in a larger flower bed because its area would be 2,500 square feet.
Answer:
A. Henry's design would result in a larger flower bed because its area would be 2,500 square feet.
Step-by-step explanation: magic
What is the right translation of these expressions and equations? (with solution)
1. 7 - 2m
2. 3( m + 2) = 15
3. 5m - m(2 - m)
Answer:
7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".
3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".
To solve the equation, we can start by distributing the 3 on the left side:
3(m + 2) = 15
3m + 6 = 15
Then, we can subtract 6 from both sides:
3m + 6 - 6 = 15 - 6
3m = 9
Finally, we can divide both sides by 3:
3m/3 = 9/3
m = 3
Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.
5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".
To simplify the expression, we can use the distributive property to expand the second term:
5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m
Therefore, the simplified expression is m^2 + 3m.
Tran drove his car at a constant speed of 55 miles per hour.
Which is an equation for the distance tran drove? MULTIPLE CHOICE, OPTIONS:
(55d=t), (d=55t), 55/d=t), (t/d=55)?
WILL MARK BRAINLIEST FOR FAST ANSWER AND CORRECT
Using six random samples, the average number of catfish in the samples was 5. 7. If the total population of fish in the pond is 200, the proportion of catfish in the pond will be 5. 7 20 = x 200. What is the predicted number of catfish in the pond?.
Answer:
the answer is 57 I got it right hope you do to!
Step-by-step explanation:
Write the steps of BUILD-MAX-HEAP algorithm? 18. Illustrate the operation of HEAPSORT on the array A=[5,13,2,25,7,17,20,8,4].
The BUILD-MAX-HEAP algorithm is used to create a max heap from an array, while the HEAPSORT algorithm sorts the array by repeatedly extracting the maximum element from the heap. In the provided example, HEAPSORT is applied to the array [5, 13, 2, 25, 7, 17, 20, 8, 4], resulting in the sorted array [2, 4, 5, 7, 8, 13, 17, 20, 25].
The BUILD-MAX-HEAP algorithm is used to create a max heap from an array. Here are the steps involved:
1. Start with the given array A.
2. Initialize the heap size to the length of the array: heap_size = length(A).
3. The algorithm works by considering each element in the array as a root of a subtree and ensuring that the subtree satisfies the max heap property.
4. Begin the loop from the parent of the last element down to the first element of the array.
5. For each element, perform the MAX-HEAPIFY operation to maintain the max heap property.
6. MAX-HEAPIFY compares the element with its left and right children, and if necessary, swaps it with the larger child to maintain the max heap property.
7. Continue this process until all elements in the array have been considered.
8. At the end of the algorithm, the array A will represent a max heap.
Now, let's illustrate the operation of HEAPSORT on the array A = [5, 13, 2, 25, 7, 17, 20, 8, 4]:
1. Build Max Heap: Using the BUILD-MAX-HEAP algorithm, convert the array A into a max heap.
- Starting from the parent of the last element (n/2 - 1), perform MAX-HEAPIFY on each element.
- After the build process, the resulting max heap is: A = [25, 13, 20, 8, 7, 17, 2, 5, 4].
2. Heapsort:
- Swap the root (A[0]) with the last element (A[heap_size-1]).
- Decrement the heap size by 1 (heap_size = heap_size - 1).
- Perform MAX-HEAPIFY on the new root (A[0]) to restore the max heap property.
- Repeat these steps until the heap size becomes 0.
- The sorted array will be built from the end of the array A.
- The sorted array after each iteration is as follows:
- Iteration 1: A = [20, 13, 17, 8, 7, 4, 2, 5, 25]
- Iteration 2: A = [17, 13, 5, 8, 7, 4, 2, 20, 25]
- Iteration 3: A = [13, 8, 5, 2, 7, 4, 17, 20, 25]
- Iteration 4: A = [8, 7, 5, 2, 4, 13, 17, 20, 25]
- Iteration 5: A = [7, 4, 5, 2, 8, 13, 17, 20, 25]
- Iteration 6: A = [5, 4, 2, 7, 8, 13, 17, 20, 25]
- Iteration 7: A = [4, 2, 5, 7, 8, 13, 17, 20, 25]
- Iteration 8: A = [2, 4, 5, 7, 8, 13, 17, 20, 25]
3. The resulting sorted array using HEAPSORT is A = [2, 4, 5, 7, 8, 13, 17, 20, 25].
Note: The steps outlined here assume a 0-based indexing scheme for arrays.
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The r in the simple interest formula stands for rate which best describes how to use rate in formula
Convert it to a decimal and multiply is the best way to describe rate in simple interest formula.
Define rate.The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number. An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.
Given
The r in the simple interest formula stands for rate.
Convert it to a decimal and multiply is the best way to describe rate in formula.
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6x+3y=12 in slope-intercept form
Answer:
Slope: −2-2
y-intercept: (0,4)
The value of an autographed baseball card increased from $39 to $65.
What is the percent increase in value of the baseball card?
Find the total snowfall for this year if it snowed 1/10 inch in November, 2 1/5 inches in December and 1 3/4 inches in January.
Answer: Just add them up. 5 1/20
Step-by-step explanation:
1+1+2=4. For the fractions, find the LCM. The LCM is 20 so you make all the fractions denominator 20. 2/20, 4/20, 15/20. Now you get 5 1/20 in the end
A pole that is 3.2m tall casts a shadow that is 1.29m long. At the same time, a nearby tower casts a shadow that is 39.25m long. How tall is the tower? Round your answer to the nearest meter.
Set up a ratio of height over shadow length:
3.2/1.29 = X/39.25
Cross multiply:
1.29x = 3.2 * 39.25
Simplify:
1.29x = 125.6
Divide both sides by 1.29:
x = 97.364 meters
Round to the nearest meter = 97 meters
Which table represents a linear function?
х
X
1
у
1
х
1
y
7
1
y
1
2
1
1
2
2
2
3
4
9
13
21
3
1ż
1
2
1
3
1
4
3
4
2
O
4
Х
1
у
0
2
3
4.
6
16
30
Answer:
The last one:)
Step-by-step explanation:
A linear function is a straight line so the y's should be in a patter
Do i use the cosine law to do this? if yes, explain how i solve this questions
Thanks!
The angle B has a measure of 55 degrees
How to determine the measure of the angle BFrom the question, we have the following parameters that can be used in our computation:
Angle A = 53 degrees
Side AC = 13 units
Side AB = 15 units
The measure of the length BC is needed in order to calculate the angle B,
This is represented using the following cosine law
BC = √(AC² + AB² - 2 * AC * AB * cos(A))
When the known values are substituted in the above equation, we have the following representation
BC = √(13² + 15² - 2 * 13 * 15 * cos(53 degrees))
Evaluate the equation
This gives
BC = 12.6
Solving further, we need to make use of the following sine law
AC/sin(B) = BC/sin(A)
This gives
sin(B) = AC * sin(A)/BC
Substitute the known values in the above equation, so, we have the following representation
sin(B) = 13 * sin(53)/12.6
Evaluate
sin(B) = 0.8239890183
Take the arc sin
B = 55 degrees
Hence, the angle is 55 degrees
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If a 150-pound teenager eats 5.5 pounds of food per day, is that proportional to a 250-pound panda eating 40 pounds of bamboo a day? Explain your answer.
Answer: No It's not proportional as the constant of proportionality for both of them.are different.
Step-by-step explanation:
For the first part of the question, a 150-pound teenager eats 5.5 pounds of food per day, we've to calculate the constant of proportionality. This will be:
y = kx
150 = 5.5k
k = 27.27
For the second part of the question, a 250-pound panda eats 40 pounds of bamboo a day. we've to calculate the constant of proportionality. This will be:
y = kx
250 = 40k
k = 250/40
k = 6.25
This shows that the 150-pound teenager eats 5.5 pounds of food per day, is not proportional to a 250-pound panda eating 40 pounds of bamboo a day because th e value of k are different.
create a real world problem involving a related set of two equations
The real-world problem involving a related set of two equations is given below:
Problem: Cost of attending a concert is made up of base price and variable price per ticket. You are planning to attend a concert with your friends and want to know the number of tickets to purchase for lowest overall cost.
What are the two equations?The related set of two equations are:
Equation 1: The total cost (C) of attending the concert is given by:
The equation C = B + P x N,
where:
B = the base price
P = the price per ticket,
N = the number of tickets purchased.
Equation 2: The maximum budget (M) a person have for attending the concert is:
The equation M = B + P*X
where:
X = the maximum number of tickets a person can afford.
So by using the values of B, P, and M, you can be able to find the optimal value of N that minimizes the cost C while staying within your own budget M. so, you can now determine ticket amount to minimize costs and stay within budget.
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a withdrawal of 225 what is the integer
Answer:
-225
Step-by-step explanation:
A withdraw means taking out -225 dollars
√34 rounded to the nearest 0.05 ?
Answer:
I think 5.83
Step-by-step explanation:
Not sure how to explain it
What are the two square roots of 64?A.8 and -8 B.0 and -8 C.1 and 64 D.0 and 8
The Square Root of Numbers.
\(\begin{gathered} \text{The square of 64 is written mathematically as }\sqrt[]{64} \\ \sqrt[]{64}=\sqrt[]{(8\times8})=8\text{ or }\sqrt[]{(-8\times-8)}=\text{ -8} \end{gathered}\)The correct answer for the square root of 64 is 8 or -8 (option A)
Quadrilateral FGHI is dilated by a scale factor of to form quadrilateral F'G'H'I.
What is the measure of side I'F'?
H
62.6
I
56
28
56
Answer:
I’F’ = 21
Step-by-step explanation:
To find the length of I’F’
We perform the dilation on IF using the given dilation factor
All we have to do here is to multiply the length of IF by the dilation factor
We have this as ;
28 * 3/4 = 21
A one side open cylinderical drum has inner radius 28 cm. and height 2.1 m. How much water you can store in the drum. Express in litres. (1 litre = 1000 cc.)
Answer:
Hence, 5174.4litres of water can be stored in the drum.
Hope it helps..
Have a great day :)
Answer:
volume is equal to πr²h
ie
3.14 × 28² × 210
=516,969.6
divide the result by 1000
516.969litres
HELP ASAP The number of hours you study for an exam affects your grade. What is a reasonable value of the range?
A) 75
B) 1.25
C) -30
D) 1/2
HELP ME PLEASE I'VE BEEN STARING AT THIS QUESTION FOR SO LONG
Step-by-step explanation:
i can give you a hint
1)divide into two triangles
2) then find each angle
3) use sine laws to find sides
At a lunch stand, each hamburger has 50 more calories than each order of fries. If 2 hamburgers and 3 orders of fries have a total of 1700 calories, how many calories does 3 orders of fries have
Answer: 960 calories
Step-by-step explanation:
Given
Each hamburger has 50 more calories than each order of fries
Suppose each order of fries has \(x\) calories
so, hamburger has \(x+50\) calories
There are total of 1700 calories available. Thus, we can write
\(\Rightarrow 2(x+50)+3x=1700\\\Rightarrow 2x+3x=1700-100\\\Rightarrow 5x=1600\\\Rightarrow x=320\)
So, each order of fries has \(320\) calories
For 3 orders, it is \(320\times 3=960\) calories
What Is Conditional Probability Formula?
Conditional probability is a key concept in probability theory that allows us to calculate the probability of an event occurring, given that another event has already occurred.
The formula for conditional probability is as follows:
P(A | B) = P(A and B) / P(B)
where P(A | B) represents the conditional probability of event A occurring given that event B has already occurred, P(A and B) represents the probability of both events A and B occurring together, and P(B) represents the probability of event B occurring.
It's important to note that the denominator, P(B), represents the background information that event B has already occurred. The numerator, P(A and B), represents the joint probability of both events A and B occurring. Dividing the joint probability by the background information gives us the conditional probability of event A occurring given that event B has already occurred.
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A= (3x-12) b=(4x-25)
Answer:
Step-by-step explanation:
In Frank's toy bin there are 17 red blocks. There are 2 more yellow blocks than red blocks. There are also 12 more blue blocks than red blocks. How many blocks are there in all?
Answer:
65
Step-by-step explanation:
17 red
19 yellow
29 blue
add them together, = 65
4. you are looking for a deep spot to take a swim in a local river. the width of the river is about the same all along its length, but there are places where the water flows quickly and places where it flows slowly. which is a better choice for a swim?
The best choice for a deep spot to take a swim is to go to a place in the river where the cross-sectional area is larger, and the water flows slower.
If you are looking for a deep spot to take a swim in a local river, the best choice is to go where the water flows slowly. The speed of the water is determined by the formula:
v=Q/A,
where v is the speed of the water, Q is the discharge rate, and A is the cross-sectional area of the river. As Q is constant for the same river, a slower water flow can be achieved by increasing A, which is the cross-sectional area of the river. Therefore, the best choice for a deep spot to take a swim is to go to a place in the river where the cross-sectional area is larger, and the water flows slower.
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