The correct order for building a confidence interval is: d. actual distance, number of standard errors, percentage probability.
In constructing a confidence interval, the first step is to determine the actual distance or margin of error around the sample statistic. This is done by multiplying the number of standard errors by the standard deviation of the population or the standard error of the sample.
Next, the number of standard errors is considered to determine how wide the interval should be. It is based on the desired level of confidence, typically represented as a percentage probability. The number of standard errors is often determined using critical values from a standard normal distribution or a t-distribution, depending on the sample size and known information about the population.
Finally, the percentage probability refers to the confidence level or the probability that the interval contains the true population parameter. It represents the level of confidence we have in the estimated interval.
Therefore, the correct order for building a confidence interval is: actual distance, number of standard errors, percentage probability.
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Solve for the value of z.
(3Z+2)°
(8z)⁰
\(\huge\mathcal {♨Answer♥}\)
\( \large \texttt {The value of Z is :}\)
\((3z + 2) + (8z) = {90}^{0} \)
\(11z = {90} - 2\)
\( \frac{11z}{11} = {88}^{0} \)
\(z = {8}^{0} \)
☆...hope this helps...☆
_♡_mashi_♡_
Please help with these two questions worth 35 points: Question 1: 6 people equally share 56 gummy worms. How many gummy worms does each person get?
A nine and one sixth gummy worms
B nine and two sixths gummy worms
C ten and one sixth gummy worms
D ten and two eighths gummy worms
Question 2: Carrie makes 27 liters of lemonade. 8 people share the lemonade equally. Which statement is true?
A Each person will receive less than 2 liters.
b Each person will receive between 2 and 3 liters.
c Each person will receive between 3 and 4 liters.
d Each person will receive more than 4 liters.
Which of the following is the best measure to compare the variability of two arrival processes?
a. Standard deviation
b. Range
c. Mean
d. Coefficient of variation
The best measure to compare the variability of two arrival processes is the coefficient of variation (CV).
The coefficient of variation (CV) is the ratio of the standard deviation to the mean of a dataset and is a dimensionless quantity. It provides a relative measure of variability that takes into account the scale of the data. When comparing the variability of two arrival processes, it is important to consider both the spread (standard deviation) and the central tendency (mean) of the data. The CV allows for a standardized comparison by normalizing the standard deviation with respect to the mean.
Using the standard deviation alone (option a) does not take into account the differences in means and can be misleading when comparing arrival processes with different average values. The range (option b) is a simple measure of spread but does not consider the scale or central tendency of the data, making it less suitable for comparing variability. Similarly, the mean (option c) provides information about central tendency but does not account for the spread. Therefore, the coefficient of variation (option d) is the most appropriate measure as it combines information about both the mean and the standard deviation, allowing for a meaningful comparison of variability between two arrival processes.
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Please help me with this! Be very grateful.
Answer:
Length of A=6
Breadth of A=24/6=4
Length of B=6
Breadth of B=12/6=2
Step-by-step explanation:
Total surface area: 36
Ratio is 2:1
So, 2x + 1x = 36
3x=36
x=36/3
x=12
2*12=24
1*12=12
So areas are 24 and 12 respectively
Now, we can say that the sides of the square will be same, 6 cm
6*6=36
so the length of both rectangles will be 6
Hence we can divide each area by 6 and find the breadth.
Length of A=6
Breadth of A=24/6=4
Length of B=6
Breadth of B=12/6=2
Stay safe and stay cool
Hope it helps you.
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If 30% of a company's advertising budget is $7,200, then what is the full advertising budget?
Answer:
$24000
Step-by-step explanation:
Let the full advertising budget of the company be $x.
Therefore, 30% of x = $7,200
\(\frac{30}{100} \times x= 7200 \\\\x = \frac{100}{30} \times 7200\\\\x = 100 \times 240\\\\x = \$24000\)
Hence, full advertising budget of the company is $24000.
what is the name for a data value that is far above or below the rest?
The name for a data value that is far above or below the rest is called an outlier.
An outlier is an observation that deviates significantly from other observations in a dataset. It is an extreme value that lies outside the typical range of values and may have a disproportionate impact on statistical analyses and calculations. Outliers can occur due to various reasons, including measurement errors, data entry mistakes, or genuine rare events. Identifying and handling outliers appropriately is important in data analysis to ensure accurate and reliable results.
When dealing with outliers, it is important to assess whether they are the result of errors or genuine extreme values. Statistical techniques, such as box plots, scatter plots, or z-scores, can be used to detect outliers. Once identified, the appropriate action depends on the nature and cause of the outliers. In some cases, outliers may need to be corrected or removed from the dataset, while in other cases, they may provide valuable insights or require further investigation.
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find the open intervals over which the function is increasing or decreasing. write the answers in interval notation.
Given a quadratic function y = 36 - x² , the intervals over which the function is increasing is: (-∞ , 0) and the intervals over which the function is decreasing is: (0, ∞).
The standard form of a quadratic function is given by:
f(x) = ax² + bx + c
If a > 0, the graph of the function opens upward and the extreme point is the minimum one.
If a < 0, the graph of the function opens downward and the extreme point is the maximum one.
In this case, the function is: y = 36 - x²
Since the coefficient of the quadratic term is negative, or a < 0, then the graph opens downward and has a maximum point.
y = 36 - x² is already in the form of perfect square, hence, we can immediately compute:
x-intercepts : (-6,0) and (6,0)
y-(intercept = maximum point = (0, 36)
Before the maximum point, the function is increasing, while after the maximum point, the function is decreasing.
Hence,
increasing interval = (-∞ , 0)
decreasing interval = (0, ∞)
Your question is incomplete, most likely, it was:
Find the open intervals over which the function is increasing or decreasing. write the answers in interval notation.
y = 36 - x²
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if a turtle moves at 1 1/3 kilometers per hour how long would it take for the turtle to travel 9 kilometers.
Answer:
33 hours
Step-by-step explanation:
\(\frac{11}{3} *9 =33\)
Answer:
6 3/4 hours
Step-by-step explanation:
divide 9 by 1 1/3. You get 6.75 which is converted to 6 and 3/4 hours.
Three thousand, three hundred ninety five in standard form
Answer:
3,395
Step-by-step explanation:
Answer:
3.395 * 10 exponent 3
Step-by-step explanation:
Solve c =(a² + 3b)/4 for b.
Bruv take all my points I literally blow at math :'(
Answer:
\(b=\frac{4c-a^{2} }{3}\)
Step-by-step explanation:
First: multiply both sides by 4. 4 times c is 4c and the other sides cancels out as you are doing the inverse operation of division
Then, you have \(4c=a^{2} +3b\)
Subtract both sides by a squared
DO NOT TAKE THE SQUARE ROOT! This is because it is a squared plus 3b so you have to do the inverse of addition
From that you get \(4c-a^{2} =3b\)
Finally, divide both sides by 3.
You get \(b=\frac{4c-a^{2} }{3}\)
12 feet
8 feet
6.5 feet
Door
3 foet
Mrs. Foster is planning to wallpaper one walt of her game room, shown
above. How much wallpaper will she need?
2.
Answer:
96sq ft. u just multiple the length by the height then square it
What is formula of segment?
The formula for a line segment is:
segment = √((x2 - x1)^2 + (y2 - y1)^2)
1. Calculate the difference between the x-coordinates: x2 - x1
2. Square the result of step 1: (x2 - x1)^2
3. Calculate the difference between the y-coordinates: y2 - y1
4. Square the result of step 3: (y2 - y1)^2
5. Add the results of step 2 and step 4: (x2 - x1)^2 + (y2 - y1)^2
6. Calculate the square root of the result of step 5: √((x2 - x1)^2 + (y2 - y1)^2)
This final result is the length of the line segment.
The formula for a line segment is relatively straightforward. Begin by calculating the difference between the x-coordinates (x2 - x1) and square the result. Then find the difference between the y-coordinates (y2 - y1) and square the result. Add the two results together and take the square root of the sum. This final result is the length of the line segment. This formula can be used to calculate the length of any line segment, regardless of its size or shape.
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Find the area of the region enclosed by the curves. 10 X= = 2y² +12y + 19 X = - 4y - 10 2 y=-3 5 y=-2 Set up Will you use integration with respect to x or y?
The area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10 is 174/3 units².
To find the area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10, we need to solve this problem in the following way:
Since the curves are already in the form of x = f(y), we need to use vertical strips to find the area.
So, the integral for the area of the region is given by:
A = ∫a b [x₂(y) - x₁(y)] dy
Here, x₂(y) = 10 - 2y² - 12y - 19/5 = - 2y² - 12y + 1/2 and x₁(y) = -4y - 10
So,
A = ∫(-3)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy + ∫(-2)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy
=> A = ∫(-3)⁻²[2y² + 8y - 19/2] dy + ∫(-2)⁻²[2y² + 8y - 19/2] dy
=> A = [(2/3)y³ + 4y² - (19/2)y]₋³ - [(2/3)y³ + 4y² - (19/2)y]₋² | from y = -3 to -2
=> A = [(2/3)(-2)³ + 4(-2)² - (19/2)(-2)] - [(2/3)(-3)³ + 4(-3)² - (19/2)(-3)]
=> A = 174/3
Hence, the area of the region enclosed by the curves is 174/3 units².
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if r(t) = 3e2t, 3e−2t, 3te2t , find t(0), r''(0), and r'(t) · r''(t).
As per the given data, r'(t) · r''(t) = \(108e^{(2t)} - 72e^{(-2t)} + 72te^{(2t)\).
To discover t(zero), we want to alternative 0 for t inside the given feature r(t). This offers us:
\(r(0) = 3e^{(2(0)}), 3e^{(-2(0)}), 3(0)e^{(2(0)})\\\\= 3e^0, 3e^0, 0\\\\= 3(1), 3(1), 0\\\\= 3, 3, 0\)
Therefore, t(0) = (3, 3, 0).
To find r''(0), we need to locate the second one derivative of the given feature r(t). Taking the by-product two times, we get:
\(r''(t) = (3e^{(2t)})'', (3e^{(-2t)})'', (3te^{(2t)})''= 12e^{(2t)}, 12e^{(-2t)}, 12te^{(2t)} + 12e^{(2t)}\)
Substituting 0 for t in r''(t), we have:
\(r''(0) = 12e^{(2(0)}), 12e^{(-2(0)}), 12(0)e^{(2(0)}) + 12e^{(2(0)})\\\\= 12e^0, 12e^0, 12(0)e^0 + 12e^0\\\\= 12(1), 12(1), 0 + 12(1)\\\\= 12, 12, 12\)
Therefore, r''(0) = (12, 12, 12).
Finally, to discover r'(t) · r''(t), we need to calculate the dot made of the first derivative of r(t) and the second spinoff r''(t). The first spinoff of r(t) is given by using:
\(r'(t) = (3e^{(2t)})', (3e^{(-2t)})', (3te^{(2t)})'\\\\= 6e^{(2t)}, -6e^{(-2t)}, 3e^{(2t)} + 6te^{(2t)\)
\(r'(t) · r''(t) = (6e^{(2t)}, -6e^{(-2t)}, 3e^{(2t)} + 6te^{(2t)}) · (12, 12, 12)\\\\= 6e^{(2t)} * 12 + (-6e^{(-2t)}) * 12 + (3e^{(2t)} + 6te^{(2t)}) * 12\\\\= 72e^{(2t)} - 72e^{(-2t)} + 36e^{(2t)} + 72te^{(2t)\)
Thus, r'(t) · r''(t) = \(108e^{(2t)} - 72e^{(-2t)} + 72te^{(2t)\).
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Kellen read 93 pages in 3 days. How many pages did he read per day?
Answer:
31 pages
Step-by-step explanation:
I hope this helps!!!
Answer:
31 take the pages and divide by the days
Step-by-step explanation:
93÷3
3 goes into 9 3 times
3 goes into 3 1 time
A.2/7
B.3/7
C.5/7
D.4/7
Answer:
The C indicates the opposite of that So it would be 4/7Can someone pls help? Thanks
Classify the relationship between the pair of angles:
3 and 12
alternate exterior
alternate interior
consecutive interior
corresponding
Answer:
Consecutive Interior
someone help and explain
We can fill in the boxes to make each equation complete as follows:
1. x³x⁹ = x¹²
2. x⁷/x³ = x⁴
3. 1/x⁻⁵ = x⁵
4. (7b³c⁵)³ = 343b⁹c¹⁵
How to solve the exponentsTo solve the exponents as provided above, the rules have to be factored in. One of the rules is that when multiplying exponents of the same base, we simply add their powers together. So, we have the powers of 3 and 9 for the first expression and they add up to 12.
1. x³x⁹ = x³ ⁺ ⁹ = x¹²
For the second expression, the rule of exponents says that when dividing, we will subtract the powers. This gives us x⁴ for the second expression.
2. x⁷/x³ = x⁷ ⁻ ³ = x⁴
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Given that, 1 Chinese yuan = £0.09, convert £185 into Chinese yuan. Give your answer to the nearest yuan.
three potential employees took an aptitude test. each person took a different version of the test. the scores are reported below. reyna got a score of 87 ; this version has a mean of 73 and a standard deviation of 10 . demetria got a score of 301.8 ; this version has a mean of 288 and a standard deviation of 23 . pierce got a score of 8.56 ; this version has a mean of 7.3 and a standard deviation of 0.6 . if the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
The applicant who should be offered the job based on the aptitude test scores is Reyna. Reyna scored 87 on her version of the test, which has a mean of 73 and a standard deviation of 10.
Demetria scored 301.8 on her version of the test, which has a mean of 288 and a standard deviation of 23. Pierce scored 8.56 on his version of the test, which has a mean of 7.3 and a standard deviation of 0.6. The scores of Reyna, Demetria, and Pierce can be compared by standardizing them and calculating the z-scores. Standardizing involves subtracting the mean from the score and dividing by the standard deviation, resulting in z-scores. This can be used to compare the performance of each applicant relative to their own version of the test. Reyna's z-score is 1.37, Demetria's z-score is 0.86, and Pierce's z-score is 14.27. This shows that Reyna performed better than Demetria, and significantly better than Pierce. Reyna should therefore be offered the job based on her performance on the aptitude test.
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What is the slope of the line represented by the graph?
Answer: B.
Step-by-step explanation:
There's a change of 1 in y for every 2 changes in x.
Can someone please help me
This isn't an answer, rather a suggestion.
I would use the website desmos to help you out. But it won't help you forever like when you do quizzes or tests.
Directions:
Make the variable "y" all by itself. It need to be solo. For example for problem 34, negate 3 on each side and you will have "y=1/2(x+2)+3".
From there, plug in numbers into the x variable. (I suggest using common factors of "2" since the number your multiplying is 1/2.
Again using 34,
y=1/2(x+2)+3
y=1/2(2+2)+3
y=1/2(2+2)+3
y=1/2(4)+3
y=2+3
y=5
The coordinates are (2,5). Plot the coordinate.
Repeat the process.
In the context of chi square, which pattern of cell frequencies in a 2x2 table would indicate that the variables are independent? a. Only the cells in the top row of the table have cases in them b. There are no cases in any celf c. There are a different number of cases in each of the tour cells d. All cell trequencics are exactly the same
Therefore, in a 2x2 table, the pattern of cell frequencies that would indicate independence is d. All cell frequencies are exactly the same.
In a 2x2 contingency table, the expected cell frequencies under the null hypothesis of independence are equal for all cells. If the observed cell frequencies in the table are approximately equal to the expected cell frequencies, then we can conclude that there is no significant association between the two variables being studied. In other words, the pattern of observed cell frequencies is consistent with the null hypothesis of independence. Therefore, if all cell frequencies are exactly the same, it suggests that the variables are independent, as each cell has an equal chance of being filled by any observation regardless of the value of the other variable.
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help?
Mandy begins bicycling west at 30 miles per hour at 11:00 A.M. If Liz leaves from the same point 20 minutes later bicycling west at 36 miles per hour, when will she catch Mandy?
a
1:30 P.M.
b
2:30 P.M.
c
2:00 P.M.
d
1:00 P.M.
Answer:
c
2:00 PM hope it helpful for you
The base of an 11 foot ladder is 3 feet from a building if the ladder reaches the flat roof how tall is the building
The building, the ladder, and the ground form a right triangle as shown below:
The ladder is the hypotenuse of the triangle and the height H and the horizontal distance (3 ft) are the legs.
Applying the Pythagora's Theorem:
\(H^2+3^2=11^2\)Solving for H:
\(\begin{gathered} H^2=11^2-3^2 \\ H=\sqrt{11^2-3^2} \\ H=\sqrt[]{121-9} \\ H=\sqrt[]{112} \\ H\approx10.58 \end{gathered}\)The building is 10.58 feet tall
if (a+2,b)=(4,5),what is the value of a ?
Answer:
a = 2Step-by-step explanation:
(a+2,b)=(4,5)
Since the points are equal we can equate them to find a
Comparing a + 2 to 4
We have
a + 2 = 4
Send 2 to the right side of the equation
a = 4 - 2
We have the final answer as
a = 2Hope this helps you
Step-by-step explanation:
Here,
according to the question,
(a+2, b)=(4,5)
since, they are equal, equating with their corresponding elements we get,
(a+2)=4
or, a= 4-2
Therefore, the value of a is 2.
Also you can find value of b in same way,
b=5.
Therefore, the value of a abd b are 2 and 5 respectively.
Hope it helps...
please help
what is 55/5*9
Answer:
99
Step-by-step explanation:
55/5 is 11
11*9
is 99
Answer:
99
Step-by-step explanation:
bidmas is used here
55/5=11
11*9=99
Any help please I’m kinda lost
Answer:
371/1000
Step-by-step explanation:
The answer is 1000
A flower garden is 22.50m long. Sheila wants to make a border along one side using bricks that are 0.25m long. Find the number of bricks needed. a) 9 (b) 90 (c) 900 (d) none of these
Answer:
(b) 90
Step-by-step explanation:
Four bricks are needed for each meter of length:
4 × 22.5 = 90
90 bricks are needed.