Work Shown:
The rule to reflect over the x axis is
\((x,y) \to (x,-y)\)
The x coordinate stays the same. The y coordinate flips from positive to negative, or vice versa.
So we have,
\((x,y) \to (x,-y)\\\\(-6,4) \to (-6, -4)\)
The abscissa of the coordinate will remain the same. Then the coordinate after the reflection over the x-axis will be (-6, -4).
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The reflection does not change the shape and size of the geometry. But flipped the image. A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersects the line of reflection at a right angle.
The point is (-6, 4). Then the reflection of the x-axis.
The abscissa of the coordinate will remain the same. Then the coordinate after the reflection over the x-axis will be (-6, -4).
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A piece of blue yarn is 7 7 8 yards long. A piece of pink yarn is 6 times as long as the blue yarn. How much longer is the pink yarn than the blue yarn?
Answer:
4668
Step-by-step explanation:
you would just multiply 778 by 6
778*6=4668
Find the sum,difference,product, or quotient.
Answer:
8.72
Step-by-step explanation:
3.24 + 5.48 = 8.72\(\text{Hey there!}\)
\(\bf{Sum\ is\ adding}\) \(\bf{(+)}\)
\(\bf{Difference\ is\ subtracting}\) \(\bf{(-)}\)
\(\bf{Product\ is\ multiplying}\) \(\bf{(\times)}\)
\(\bf{Quotient\ is\ dividing}\) \(\bf{(\div)}\)
\(\text{So, to sum it all up we have to ADD to solve this question!}\)
\(\text{ADD both of your numbers together and you will have your answer}\)
\(\text{Line up the decimals together}\)
\(\bf{3.24 + 5.48 = 8.72}\)
\(\boxed{\boxed{\text{Thus, your answer is: \boxed{8.72}}}}\checkmark\)
\(\text{Good luck on your assignment and enjoy your day!}\)
~\(\frak{LoveYourselfFirst:)}\)
What value from the set {6, 7, 8, 9, 10} makes the equation 5x + 2 = 47 true? Show your work. (5 points)
Answer:
trure correct
ok must of luck
Find the t value(s) for each of the following cases (to 3 decimals).
(a) Upper tail area of 0.025 with 12 degrees of freedom.
(b) Lower tail area of 0.05 with 50 degrees of freedom.
(c) Upper tail area of 0.01 with 30 degrees of freedom.
(d) Where 90% of the area falls between these two t values with 25 degrees of freedom?
(e) Where 95% of the area falls between these two t values with 45 degrees of freedom?
A) The t-value for this case is 2.179.B) The t-value for this case is -1.676.C) The t-value for this case is 2.750.D) The t-values for this case are -1.708 and 1.708. E) The t-values for this case are -2.021 and 2.021.
To find the t-values for each of the given cases, we can use a t-distribution table or a calculator. Here are the solutions to each case:
(a) Upper tail area of 0.025 with 12 degrees of freedom:
Using a t-distribution table, we can find the t-value for the upper tail area of 0.025 with 12 degrees of freedom. The value is 2.179. Therefore, the t-value for this case is 2.179.
(b) Lower tail area of 0.05 with 50 degrees of freedom:
Using a t-distribution table or a calculator, we can find the t-value for the lower tail area of 0.05 with 50 degrees of freedom. The value is -1.676. Therefore, the t-value for this case is -1.676.
(c) Upper tail area of 0.01 with 30 degrees of freedom:
Using a t-distribution table or a calculator, we can find the t-value for the upper tail area of 0.01 with 30 degrees of freedom. The value is 2.750. Therefore, the t-value for this case is 2.750.
(d) Where 90% of the area falls between these two t values with 25 degrees of freedom:
We can use a t-distribution table or a calculator to find the t-values that correspond to the 5th and 95th percentiles of the t-distribution with 25 degrees of freedom. The values are -1.708 and 1.708, respectively. Therefore, the t-values for this case are -1.708 and 1.708.
(e) Where 95% of the area falls between these two t values with 45 degrees of freedom:
We can use a t-distribution table or a calculator to find the t-values that correspond to the 2.5th and 97.5th percentiles of the t-distribution with 45 degrees of freedom. The values are -2.021 and 2.021, respectively. Therefore, the t-values for this case are -2.021 and 2.021.
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Can someone help ASAP? I will give lots of points
Three-part question:
A: The height of the street sign is obtained by indirect measurement method as 15 feet.
B: The two proportions Betsy can use is 5/1.5 = x/4.5 and 5/.x = 1.5/4.5
C: Using both the proportions height of the street sign is obtained as 15 feet.
What is indirect measurement?
A mathematical technique called as an indirect measurement is used to discover unknown measures of items that are challenging to measure. A direct measurement is something that can easily be measured, like a toddler's height.
The height of Betsy is h = 5 feet.
The shadow of Betsy is h' = 1.5 feet.
The height of the street sign is H = x feet.
The height of the shadow of street sign is H' = 4.5 feet.
The two proportions are -
h/h' = H/H' and h/H = h'/H'
These two can be used to find the measurement of the street sign.
To find the height of the street sign use the method of indirect measurement -
h/h' = H/H' h/H = h'/H'
Substitute the values in the given equation -
5/1.5 = x/4.5 5/x = 1.5/4.5
1.5 × x = 5 × 4.5 5 × 4.5 = 1.5 × x
1.5x = 22.5 22.5 = 1.5x
Simplify the equation further -
x = 22.5/1.5 x = 22.5/1.5
x = 15 x = 15
Therefore, the value of the x is obtained as 15 feet.
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PLEASE HELP IM GONNA GIVE YOU BRAINIEST❤️❤️❤️
Answer:(7,-1) or (-1,7)
hope this helps
Answer:
I think -1, 7
Step-by-step explanation:
because the lines meet up on the x axis of -1 and the y axis of 7
Factor each expression completely.
4 x²-8 x+4
To factor the expression 4x² - 8x + 4 completely, we can use the factoring method.
The expression 4x² - 8x + 4 can be factored as (2x - 2)(2x - 2).
Explanation:
1. First, we look for common factors, but in this case, there are none.
2. Next, we try to factor the quadratic trinomial. We can do this by finding two numbers that multiply to give the product of the coefficient of x² (which is 4) and the constant term (which is 4) and add up to the coefficient of x (which is -8).
- In this case, the product of 4 and 4 is 16, and the sum of -4 and -4 is -8.
3. We rewrite the expression as 4x² - 4x - 4x + 4.
4. Now, we group the terms and factor by grouping:
- Factor out 4x from the first two terms: 4x(x - 1).
- Factor out -4 from the last two terms: -4(x - 1).
- We can see that both terms have a common factor of (x - 1).
5. Factoring out (x - 1) from both terms, we get:
- (x - 1)(4x - 4).
6. Finally, we can simplify further by factoring out 4 from the second term:
- (x - 1)(4(x - 1)).
7. Combining like terms, we have:
- (x - 1)(4x - 4) = (2x - 2)(2x - 2).
So, the expression 4x² - 8x + 4 can be factored completely as (2x - 2)(2x - 2).
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2. In the figure 6.27, m(<APB) = 110° and m(<BAC) = 40. Then
a) Find the sum of m(AD) and m(BC).
b) m(<ACD). D
a) The sum of m(arc AD) and m(arc BC) is 140°
b) The measurement of ∠ACD is 30°
Define the term Circle identities?The six trigonometric functions of an angle in a right-angled triangle are connected by a set of fundamental identities known as the "Circle identities" in trigonometry.
a) We know the circle identities;
In a circle an angle at center (O) always double the angle at its circumference.
then, ∠BOC = 2∠BAC = 2×40° = 80°
it also known as m(arc BC) = 80°
Similarly, for ΔAPB the sum of all angles are 180°
∠ABP + ∠APB + ∠BAP = 180°
∠ABP + 110° + 40° = 180°
∠ABP = 30°
Center angle always double the angle at its circumference,
then, ∠AOD = 2∠ABD = 2×30° = 60°
it also known as m(arc AD) = 60°
Therefore, the sum of m(arc AD) and m(arc BC) is,
m(arc AD) + m(arc BC) = 60° + 80° = 140°
b) Also we know that the angles on the same segment (AD) are always equal:
So, ∠ABD = ∠ACD = 30°
Because the segment AD is same for two angles.
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What is the solution set of |-x| = -10?
(10)
7-10)
{-10, 10)
no solution
Answer:
{-10, 10)
Step-by-step explanation:
| | - means to only take the number inside, not the sign
x=-10 or 10
Answer:
i dont understand what you want me to answer
Step-by-step explanation:
One gallon of gasoline in Buffalo, New York costs $2.29. In Toronto, Canada, one liter of gasoline costs $0.91. There are 3.8 liters in one gallon. How much does one gallon of gas cost in Toronto? Round your answer to the nearest cent. Is the cost of gas greater in Buffalo or in Toronto? How much greater?
Answer:
-To find the cost of one gallon of gas in Toronto, you have to multiply the cost of one liter of gasoline for 3.8 as you know that there are 3.8 liters in one gallon:
$0.91*3.8=$3.46
This means that a gallon of gas cost $3.46 in Toronto.
-$3.46-$2.29=$1.17
Considering that one gallon of gasoline cost $2.29 in Buffalo and $3.46 in Toronto, the cost is greater in Buffalo. The cost is greater by $1.17.
What is the value of the expression 12 x (-1.6)
Answer: -19.2
Step-by-step explanation:
a new shopping mall is gaining in popularity. every day since it opened, the number of shoppers is 5% more than the number of shoppers the day before. about how many total shoppers would be expected after 10 days, if there were 100 shoppers on the first day?
After 10 days, the expected number of shoppers at the shopping mall is 163.
It is given that the number of shoppers increases daily by 5% from the number of shoppers the previous day.
As we can see that the increase in the number of shoppers is going to change every day, and the above case is compounded daily.
The formula of compound increase is
Amount = Base X (1 + r/n)ⁿˣ
where,
Base = original amount
r = rate of change
n = no. of times the change occurs in the time period
t = time
Here,
Base = 100
r = 5/100
n = 1, since it changes once every day
x = 10
Therefore we get
100 X (1 + 5/100)¹⁰
= 100 X 1.05¹⁰
162.88
Since the number of people cannot be in decimal,
the expected number of people is 163
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1. What is the magnitude and direction of MN with tail and head points M(-3, -2) and N(4, 0)?
PLEASE HURRY
The magnitude and direction of points M(-3, -2) and N(4, 0) is 7.28 units and 74.1 degrees
How to determine the magnitude and direction?The given parameters that will assist us are:
M(-3, -2) and N(4, 0)
Calculate the magnitude using
MN = √(x₂-x₁)² + (y₂-y₁)²
This gives
MN = √(4+3)² + (0+2)²
MN = √7² + 2²
MN = √49+4
MN = √53
Evaluating to have
MN = 7.28
The direction is calculated as:
A = 90⁰ - tan⁻¹(y₂-y₁)/(x₂-x₁)
This gives
90-tan⁻¹(0+2)/(4+3)
90-tan⁻¹ (2/7)
90-tan⁻¹0.2857
90-15.9
A = 74.1⁰
Hence, the magnitude and direction of points M(-3, -2) and N(4, 0) is 7.28 units and 74.1 degrees
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An ice field is melting at the rate M (t)=4-(sin t)³ acre-feet per day, where t is measured in
days. How many acre-feet of this ice field will melt from the beginning of day 1 (t = 0) to the
beginning of day 4 (t = 3) ?
(A) 10.667
(B) 10.951
(C) 11.544
(D) 11.999
A 11.544 acre-feet of this ice field will melt from the beginning of day 1 (t = 0) to the beginning of day 4 (t = 3). So, correct option is C.
To solve the problem, we need to integrate the given rate of melting with respect to time over the interval [0,3] to find the total amount of ice that melts during this time.
First, we can simplify the given rate of melting by using the identity: sin³(t) = (3sin(t) - sin(3t))/4
So, M(t) = 4 - (3sin(t) - sin(3t))/4 = 16/4 - 3sin(t)/4 + sin(3t)/4 = 4 - 0.75sin(t) + 0.25sin(3t)
Integrating this expression with respect to t over the interval [0,3], we get:
\(\int\limits^3_0\) M(t) dt = \(\int\limits^3_0\) (4 - 0.75sin(t) + 0.25sin(3t)) dt
= [4t + 0.75cos(t) - (1/3)cos(3t)]|[0,3]
= (12 + 0.75cos(3) - (1/3)cos(9)) - (0 + 0.75cos(0) - (1/3)cos(0))
= 11.544
Therefore, the answer is (C) 11.544.
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in a poll of randomly selected voters in a local election, voters were in favor of fire department bond measures.what is the sample proportion ?what is the margin of error for the confidence level?ex: 0.123
For a poll of randomly selected voters in a local election, the sample proportion of sample is equals to the 0.258. The margin of error for the 95% confidence level is equals to 0.0271.
We have a randomly selected sample of voters. Number of selected voters in a local election = 1000 so, Sample size, n
= 1000
Number of voters who in favor of fire department bond measures = 248 ( no. of success)
Sample proportion is calculated by following formula, \(\hat p = \frac{x}{n} \)
where, X -->the number of successes
N --> the size of the sample\( \hat p = \frac{258}{1000}= 0.258\)
Now, confidence interval, CI = 95%
Level of significance = 1 - 0.95 = 0.05
Margin of error helps the which percentage points results will differ from the real population value. Formula for margin of error is written as \(E = z_{\frac{\alpha}{2}} \sqrt{ \frac{\hat p ( 1 - \hat p)}{n}}\), where
\( \hat p\)= sample proportionn --> sample sizeUsing the normal distribution table, the value of z-score for 95% of confidence interval is 1.96. Substitute all known values in above formula, \(E = 1.96 \sqrt{ \frac{0.258 ( 1 - 0.258)}{1000}}\)
\(= 1.96 \sqrt{ 0.00019144}\)
= 0.0271
Hence, required value is 0.0271.
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Complete question:
in a poll of 1000, randomly selected voters in a local election, 248 voters were in favor of fire department bond measures.what is the sample proportion ?what is the margin of error for the 95% confidence level?ex: 0.123
A snack mix recipe calls for 10 cups of cereal and 4 cups of pretzel sticks.
What is the constant of proportionality that relates the number of cups of cereal, y, to the number of cups of pretzel sticks, x?
The constant of proportionality that relates the number of cups of cereal, y, to the number of cups of pretzel sticks, x is y= 5/2x.
We have,
A snack mix recipe calls for 10 cups of cereal and 4 cups of pretzel sticks.
Using constant of proportionality
y = kx
where k is the constant
So, put y= 10 and x= 4 then
10 = k (4)
k = 10/4
k= 5/2
Thus, the constant of proportionality is 5/2.
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match each theoretical perspective to its representative classic study of education.
He argues that teachers and administrators often label students based on their behavior, appearance, or other factors, which can have a profound impact on students' self-perceptions and future opportunities.
Theoretical perspectives are perspectives that sociologists use to help them better understand and explain human social behavior.
These perspectives encompass various theories and approaches to the study of education.
The following is an overview of three major theoretical perspectives and their associated classic studies of education:
Functionalism perspective
The functionalist perspective is a theoretical approach that views society as a complex system composed of various parts that work together to maintain social order.
Functionalism is also known as structural functionalism.
According to functionalists, education plays an important role in society by providing students with necessary skills and knowledge to become productive members of society.
Classic study of education:
Durkheim's study of education in "The Division of Labor in Society."
In this classic study, Durkheim argues that education serves a crucial function in socializing young people into shared cultural values, beliefs, and norms.
According to symbolic interactionists, education is a process of social interaction in which students learn to make sense of the world around them.
Classic study of education: Becker's study of labeling in "Becoming a Marijuana User.
"In this classic study, Becker demonstrates how schools play an important role in shaping student identities.
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Four boys have heights of 155155 centimeters, 156156 centimeters, 158158 centimeters, and 162162 centimeters.
What is the mean height of the four boys?
The mean height of the four boys is 157657.75 centimeters.
What are mean, median, and mode?The three main methods for identifying the average value of a set of integers are mean, median, and mode.
Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.
The middle value in a list that is arranged from smallest to greatest is called the median.
The value that appears the most frequently on the list is the mode.
Given, Four boys have heights of 155155cm, 156156cm, 158158cm, and 162162cm.
Therefore, The mean height of the boys is the sum of the heights of boys divided by the total number of boys which is,
= (155155 + 156156 + 158158 + 162162)/4.
= 630631/4.
= 157657.75 cm.
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The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric, and the base of the tent will be covered in brown fabric. Find the surface area that will be covered in each color of fabric. Enter your answer in the boxes
what is 8x - 4 is less than -36 show all work
Answer:
x>-4
Step-by-step explanation:
8x-4>-36
add 4 to both sides 8x>-32
divide both sides by 8 x>-4
set up the integral that uses the method of disks/washers to find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified lines.y=x2/3+3,y=3,x=6
About the line y=16.
\(\pi \int\limits^6_0 {\frac{26}{3} } \, x^{2} -\frac{1}{9} x^{4} dx\) is the integral that uses the method of disks/washers to find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified lines.
A method for determining the volume of a solid of revolution of a solid-state material while integrating along an axis "parallel" to the axis of revolution is known as disc integration, also known as the disc method in integral calculus.
This technique stacks an endless number of discs with varied radii and minuscule thickness to produce the final three-dimensional form. To create hollow solids of revolutions, the same ideas may also be applied when using rings in place of discs (this is known as the "washer technique").
As opposed to this, shell integration integrates along an axis that is parallel to the axis of revolution. The solution can be seen in the attached images below.
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Help, 50 points
Which of the following is equivalent to the statement “(–3, 0) is an x-intercept"?
1.–3 is a root.
2.–3 is a zero.
3.x + 3 is a factor.
4.All of the above are equivalent statements.
Answer: is, 4. All of the above are equivalent statements.
What is x-intercepts of quadratic function?The x-intercept is where the graph crosses the x-axis.
here, we have,
The x-intercept is the point at which a line crosses the x-axis.
now,
The roots of a function are the x-values of the x-intercepts.
Therefore, if (-3, 0) is an x-intercept, then -3 is a root.
The zeros of the function are the x-values when y = 0.
(-3, 0) means x = -3 when y = 0.
Therefore, -3 is a zero.
According to the factor theorem, if f(x) is a polynomial, and f(a) = 0, then (x – a) is a factor of f(x).
Given (-3, 0), then f(-3) = 0. Therefore, (x - (-3)) = (x + 3) is a factor.
Therefore, all given statements are equivalent statements.
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the life of an electric component has an exponential distribution with a mean of 10 years. what is the probability that a randomly selected one such component has a life more than 7 years?
The probability is 0.4647.
What is probability?Probability is the branch of mathematics that deals with numerical descriptions of the likelihood of an event occurring or the likelihood of a statement being true.The probability of an event is a number between 0 and 1, with approximately 0 indicating the improbability of the event and 1 indicating certainty. The higher the probability of an event, the more likely the event will occur. A simple example is tossing a fair coin. Both outcomes are equally likely because the coin is fair. The probability of heads or tails is 1/2. These concepts are an axiomatic mathematical formalization of probability theory that is widely used in research fields such as statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy. Infer the expected frequency from the event. Probability theory is also used to explain the underlying dynamics and laws of complex systems.To learn more about probability from the given link :
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Brainlist!
Show all steps and I will make you Brainlist.
Answer:
The height of the tree to the nearest foot is 75.
Step-by-step explanation:
The height is opposite the angle of elevation, and the 45 ft distance to the tree is adjacent to it.
tangent = opposite/adjacent
\(\frac{tan(59)}{1} = \frac{h}{45}\)
h = tan(59) * 45
h ≈ 74.89
To the nearest foot, 74.89 is 75 ft.
What angle corresponds to ∠M?
Answer:
iuhi on edge its c
Step-by-step explanation:
Determine the value of x
Answer:
x would be 10
Step-by-step explanation:
angles across from each other are always equal so x would be 10 because 3 times 10 is 30 and then add the other 10 to get 40
Answer:
x = 10
Step-by-step explanation:
Since these angles are vertical angles, we know that 40 = 3x + 10. Subtract 10 from both sides to get 30 = 3x. Divide both sides by 3 to get x = 10.
please help 50 points
Answer:
See attached
Step-by-step explanation:
Table filled in, see picture
The first column contains points with coordinates (x, y)The second column contains the rule (x + (-4), y + 2)The third column is obtained by applying the rule. Showing this for one of the vertices:Q: (1, 4) Apply rule: (1 + (-4), 4 + 2) = (1 - 4, 6) = (-3, 6)Get coordinates of Q' from previous step: (-3, 6)So you get Q'(-3, 6) from Q(-1, 4) by applying the rule (x + (-4), y + 2).
Same steps for other vertices done and shown in the table.
Hope it is more clear.
Answer:
clearly the answer is what the other guy said.... he big brain
Step-by-step explanation:
An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated. (True or False)
The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.
Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.
In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.
This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.
However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.
As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.
As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.
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a process for filling liquid laundry detergent bottles monitors the volume in each bottle. the operations manager has taken 5 samples with 4 observations (bottles) in each sample to determine if the variation in volume is reasonable. the measurement unit is fluid ounces. calculate the center line for a process control chart that indicates whether the variation within samples is reasonable
The center line for a process control chart that indicates whether the variation within samples is between 0 and 1.0 and variation in the center line has come to be 0.32.
Control chart or range (R-) chart is used for monitoring and controlling variation within samples. Control charts can be used to identify sources of variation, both common and special cause. We have a process for filling liquid laundry detergent bottles monitors.
Number of samples = 5
number of observation bottels = 4
The measurement units is fluid ounces. Typically, graphs contain a center line that represents the mean value of the monitored process. The other two horizontal lines, called the upper control limit (UCL) and the lower control limit (LCL). First draw the chart for above data is present in above figure 2. The red line is central line. The standard deviations is used to determine the variation in data. To determine the variation here standard deviations is 0.32. The upper control limit is calculated by formula,
= average range + 3 (standard deviations)
= 11.81 + 3×0.32
= 11.81 + 0.96 = 12.77
Lower control limit = average range - 3(standard deviations) = 11.81 - 0.96
= 10.85
Hence, the required variation is 0.32.
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Complete question:
The above figure 1 completes the question. a process for filling liquid laundry detergent bottles monitors the volume in each bottle. the operations manager has taken 5 samples with 4 observations (bottles) in each sample to determine if the variation in volume is reasonable. the measurement unit is fluid ounces. calculate the center line for a process control chart that indicates whether the variation within samples is reasonable.
URGENT!!LAST QUESTION!!!! PLS JUST TAKE A LOOK! EASY BUT I AM DUMB!!!!!! WILL GIVE BRANLIEST!! The following two triangles are similar. Find the missing side length represented by x. A) 25.2 in B) 26.25 in C) 24 in
Answer:
\(x = 26.25\) inches
Step-by-step explanation:
Since we know the triangles are similar, we can simply set up ratios to find the length of side length 'x'.
\(\frac{15.75}{x} = \frac{9}{15}\)
Cross multiply:
\(236.25 = 9x\)
Divide both sides by '9' to solve for 'x':
\(\frac{236.25}{9} = \frac{9x}{9}\)
\(x = 26.25\)
Therefore, side length 'x' equals 26.25 in.