Considering the following box plot, The interquartile range is a measure of the spread of the middle 50% of the data.
The interquartile range (IQR) is a measure of statistical dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset. It provides a measure of the spread or variability of the middle 50% of the data.
However, explain how to calculate the interquartile range and the percentage of values included in the interquartile range based on a box plot:
(a) To find the interquartile range, you need to calculate the difference between the upper quartile (Q3) and the lower quartile (Q1). In other words, IQR = Q3 - Q1. The interquartile range is a measure of the spread of the middle 50% of the data.
(b) The interquartile range includes 50% of the values in the data set. This means that the other 50% of values lie outside the interquartile range.
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An experiment must have a placebo group in order to be valid. (T/F)
The statement is false.
Part B how many more money did the cafe make in April than in March
Answer:
Please add image
In the equation (x - 7)^2 = 25, if x equals 12, is there another solution for x?
(It's confusing but it means is there any other possible answer for x except 12.)
Answerh
Step-by-step explanation:
huh
Please help I’ll give brainliest if it’s correct !! :)))
Answer:
A textbook weighs about 1 pound and is about 1 foot long
A car weighs about 1 ton and is about 5 yards long
A mosquito weighs about 2 mg and is about 1 inch long
Step-by-step explanation:
#commonsense lol
Point L (5, -4) is reflected across the line y = -x using the transformation rule (x, y) --> (-y, -x). What is the ordered pair of the Image L''? Please write your response as (x, y),
Answer:
L (4,-5)
Step-by-step explanation:
The transformation rule is (x,y) → (-y,-x) . This means that you are going to exchange your x and y and switch their signs.
1. Exchange - First you switch your points. (5,-4) → (-4,5)
2. Switch signs- -4 converts to 4 and 5 converts to -5
So your answer is L' (4,-5)
Find a linear regression model for the weekly cost data, using z as the independent variable. C(z) = ma +k Round m to 1 decimal place, and round k to the nearest integer. Use the weekly cost model to estimate the total weekly cost when the weekly demand is 210. Round to the nearest dollar $_____. What is the per unit variable cost? Round to 1 decimal place. $_____. per sleeping bag What is the weekly fixed cost of producing sleeping bags? Round to the nearest integer $_____.
The linear regression model for the weekly cost data is given by C(z) = ma + k, where z is the independent variable representing the weekly demand.
The values of m and k are determined through the regression analysis. Using this model, we can estimate the total weekly cost for a given weekly demand and calculate the per unit variable cost and weekly fixed cost.To find the linear regression model, we need to perform a regression analysis on the given weekly cost data. This analysis will determine the values of m and k in the equation C(z) = ma + k, where C(z) represents the weekly cost and z represents the weekly demand.
Once the values of m and k are obtained, we can use the model to estimate the total weekly cost when the weekly demand is 210. By plugging in z = 210 into the equation C(z) = ma + k, we can calculate the total weekly cost rounded to the nearest dollar.The per unit variable cost can be determined by the value of m in the model. It represents the change in cost per unit change in demand. By rounding m to one decimal place, we can obtain the per unit variable cost rounded to one decimal place.
The weekly fixed cost can be determined by the value of k in the model. It represents the cost that does not depend on the weekly demand. By rounding k to the nearest integer, we can obtain the weekly fixed cost rounded to the nearest dollar.Overall, by applying the linear regression model to the given data, we can estimate the total weekly cost, calculate the per unit variable cost, and determine the weekly fixed cost of producing sleeping bags.
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what is the probability of being served immediately in a three-server model?
The probability of being served immediately in a three-server model is 0.2143 or approximately 21.43%.
Consider that the arrivals follow a Poisson distribution and the service times follow an exponential distribution, the probability of being served immediately in a three-server model can be calculated using the Erlang-C formula.
The Erlang-C formula is given by:
\(P0 = 1/[1 + (A1/A)^1 + (A2/(A*A1))^2/2 + (A3/(A*A1*A2))^3/3! + ... + (Ak/(A*A1*...*Ak-1))^k/k! + ...]\)
A = total traffic intensity for the system
The traffic intensity for each server is given by:
\(Ak = (A^k/k!) * P0\)
Where k = number of servers.
LEt A = λ/3μ
where 3 is the number of servers.
Using these formulas,
\(P0 = 1/[1 + ((λ/3μ)/1)^1 + ((λ/3μ)/(λ/3μ))^2/2 + ((λ/3μ)/(λ/3μ)^2)^3/3!]\)
Simplifying the expression, we get:
\(P0 = 1/[1 + 1/3 + (1/9)(1/3)^2 + (1/27)(1/3)^3]\)
P0 = 0.2143
Therefore, the probability of being served immediately in a three-server model is 0.2143
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Which equation has the same solution as x2 - 6x - 14 = 0?
Answer:
B
Step-by-step explanation:
Given
x² - 6x - 14 = 0 ( add 14 to both sides )
x² - 6x = 14
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = 14 + 9
(x - 3)² = 23 → B
Find two integers whose sum is 13 and product is 12
Answer: 12 & 1
Step-by-step explanation:
12*1=12
12+1=13
Answer:
The two integers are 12 and 1
Step-by-step explanation:
The sum is 13 because 12 + 1 = 13
The product is 12 because 12 * 1 = 12
The physical plant at the main campus of a large state university receives daily requests to replace fluorescent light bulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 64 and a standard deviation of 5. What is the approximate percentage of lightbulb replacement requests numbering between 49 and 64?
Approximately 34.13% of lightbulb replacement requests fall between 49 and 64.
To determine the approximate percentage of lightbulb replacement requests between 49 and 64, we can utilize the properties of the normal distribution. Since the distribution is bell-shaped and follows a normal distribution, we can use the empirical rule (also known as the 68-95-99.7 rule) to estimate the percentage.
According to the empirical rule, approximately 68% of the data falls within one standard deviation of the mean. In this case, the range between 49 and 64 is within one standard deviation of the mean (64). However, since the data is not centered perfectly at the mean, we need to calculate the z-scores for both values to determine the precise percentage.
To calculate the z-scores, we use the formula z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.
For 49:
z = (49 - 64) / 5 = -3
For 64:
z = (64 - 64) / 5 = 0
Using a standard normal distribution table or a calculator, we can find the percentage between -3 and 0, which corresponds to approximately 34.13%. Therefore, approximately 34.13% of lightbulb replacement requests fall between 49 and 64.
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in hypothesis testing, the tentative assumption about the population parameter is group of answer choices
The goal of a hypothesis test is to determine if the data can refuse an assumption a parameter or a population.
Statistical hypothesis test: A statistical hypothesis test is a technique for determining whether the available data are sufficient to support a specific hypothesis. We can make probabilistic claims about population parameters through hypothesis testing.
The purpose of a hypothesis test is to ascertain whether the data can refute a parameter or population assumption.
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) Which expression is equivalent to
- 7?
(0+21) 10-2
(21)
(6+21)
(6 - 21)
3
solve for the values of x. equation is uploaded below
Answer:
Solve for x
Solve for x is all related to finding the value of x in an equation of one variable that is x or with different variables like finding x in terms of y. When we find the value of x and substitute it in the equation, we should get L.H.S = R.H.S.
x
3
+
11
=
32
3
(
x
+
11
)
=
32
3
(
x
+
11
)
=
32
3
x
+
11
=
32
3
x
+
11
=
32
Step-by-step explanation:
Solve for x
Solve for x is all related to finding the value of x in an equation of one variable that is x or with different variables like finding x in terms of y. When we find the value of x and substitute it in the equation, we should get L.H.S = R.H.S.
What Does Solve for x Mean?
Solve for x means finding the value of x for which the equation holds true. i.e when we find the value of x and substitute in the equation, we should get L.H.S = R.H.S
If I ask you to solve the equation 'x + 1 = 2' that would mean finding some value for x that satisfies the equation.
Do you think x = 1 is the solution to this equation? Substitute it in the equation and see.
1 + 1 = 2
2 = 2
L.H.S = R.H.S
That’s what solving for x is all about.
How Do You Solve for x?
To solve for x, bring the variable to one side, and bring all the remaining values to the other side by applying arithmetic operations on both sides of the equation. Simplify the values to find the result.
Let’s start with a simple equation as, x + 2 = 7
How do you get x by itself?
Subtract 2 from both sides
⇒ x + 2 - 2 = 7 - 2
⇒ x = 5
Now, check the answer, x = 5 by substituting it back into the equation. We get 5 + 2= 7.
L.H.S = R.H.S
Given: x - 8 > -3. solution set
Answer: x > 5
Reason:
Add 8 to both sides to undo the -8
We have x-8 > -3 become x > -3+8 which becomes x > 5
We can replace x with anything larger than 5.
To graph this on a number line, plot an open hole at 5. Then shade to the right.
sketch the graph of the function, not by plotting points, but by starting with the graph of a standard function and applying transformations. y = 3 − x 2
1. graph{-x^2 [-10, 10, -5, 5]}
2. graph{-x^2+3 [-10, 10, -5, 5]}
3. The graph of the given function y = 3 - x², not by plotting points but by starting with the graph of a standard function and applying transformations, is as shown above.
Given function:
y = 3 - x²
The graph of this function can be obtained by starting with the graph of the standard function y = x² and applying some transformations such as reflection, translation, or stretching.
Here, we will use the standard function y = x² to sketch the graph of the given function and then apply the required transformations.
The standard function y = x² looks like this:
graph{x^2 [-10, 10, -5, 5]}
Now, let's apply the required transformations to this standard function in order to sketch the graph of the given function
y = 3 - x².1.
First, we reflect the standard function y = x² about the x-axis to obtain the function y = -x².
This reflection is equivalent to multiplying the function by
1. The graph of y = -x² looks like this:
graph{-x^2 [-10, 10, -5, 5]}
2. Next, we translate the graph of y = -x² three units upwards to obtain the graph of
y = -x² + 3.
This translation is equivalent to adding 3 to the function.
The graph of y = -x² + 3 looks like this:
graph{-x^2+3 [-10, 10, -5, 5]}
3. Finally, we reflect the graph of
y = -x² + 3
about the y-axis to obtain the graph of
y = x² - 3. This reflection is equivalent to multiplying the function by -1.
The graph of
y = x² - 3
looks like this:
graph{x^2-3 [-10, 10, -5, 5]}
Hence, the graph of the given function y = 3 - x², not by plotting points but by starting with the graph of a standard function and applying transformations, is as shown above.
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In a binomial situation, n=18 and π=0.60. Determine the standard
deviation*
Answer:
Use colon method
Step-by-step explanation:
So it is more easy
I have 4 and 11/12 . how much do i need to add to get 6 and 1/2
Answer:
= 1 7/12
Step-by-step explanation:
6 1/2 - 4 11/12 =
6 6/12 - 4 11/12 =
5 18/12 - 4 11/12 =
=1 7/12
To check if the answer is right or wrong, you can add 1 7/12 to 4 11/12
4 11/12 + 1 7/12 = 5 18/12 = 6 6/12 = 6 1/2
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Two metal cubes each half an edge length of 4 cm. They are melted and re-cast into a square pyramid with the height of 5 cm. Find the area of the base of the pyramid
The area of the base of the square pyramid will be 48 cm².
What exactly is square pyramid?A square pyramid is a three-dimensional geometric shape that has a square base and four triangular faces that meet at a common vertex (apex). The base of the pyramid is a square, and the four triangular faces are identical isosceles triangles.
The height of a square pyramid is the perpendicular distance from the base to the apex. The slant height of a square pyramid is the distance from the apex to the midpoint of an edge of the base. The slant height is also the height of each of the four triangular faces.
\(Volume = (1/3) \times (Area of base) \times (Height)\)
where the area of the base is the area of the square and the height is the perpendicular distance from the base to the apex.
Now,
The volume of the two metal cubes can be calculated as follows:
Volume of one cube = (1/2 x 4 cm)³ = 8 cm³
Volume of two cubes = 2 x 8 cm³ = 16 cm³
Since the metal is melted and re-cast into a square pyramid, the volume of the pyramid must be equal to the volume of the two cubes:
Volume of pyramid = 16 cm³
\(Volume = (1/3) \times (Area of base) \times (Height)\)
We know the height of the pyramid is 5 cm, so we can rearrange the formula to solve for the area of the base:
Area of base = 3 x (Volume of pyramid) / (Height)
Area of base = 3 x (16 cm³) / (5 cm)
Area of base = 48 cm²
Therefore,
the area of the base of the pyramid is 48 cm².
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A rectangle has an area of 370.8 square millimeters and a height of 20.6 millimeters. What is the length of the base?
The length of the base of the rectangle is approximately 18 millimeters.
To find the length of the base of the rectangle, we can use the formula for the area of a rectangle: A = bh, where A is the area, b is the length of the base, and h is the height.
We are given that the area of the rectangle is 370.8 square millimeters and the height is 20.6 millimeters. Substituting these values into the formula, we get:
370.8 = b(20.6)
To solve for b, we can divide both sides of the equation by 20.6:
b = 370.8/20.6
b ≈ 18
Therefore, the length of the base of the rectangle is approximately 18 millimeters.
It's important to note that the units of the answer are millimeters, which is consistent with the units of the given height and area. Additionally, we rounded the answer to the nearest millimeter since the height and area were given to only one decimal place.
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I just need confirmation on these two questions.
Can someone please check?
Q1) 2 cm per hour
Q2) 2 in 6
Answer:
Question 1 yes!
Question 2 1/4
There are a total of 8 places the spinner can land. 2 of those place is no prize. That would be 2/8 or simplified 1/4
Step-by-step explanation:
Answer:
1) ✅ Correct!
2) ❌Incorrect. The correct answer is 1 in 4.
Step-by-step explanation:
2) The correct answer is 1 in 4.
⭐When calculating the probability of an event, you have to divide the number of desired possibilities by the number of total possibilities.
We want to know what is the chance for the spinner to land on "no prize". There are 2 "no prize" options. Thus, "no prize" (2) will be our desired possibility.
In total, there are 8 options on the wheel. Thus, 8 will be the number of total possibilities.
Divide the numbers respectively.
\(\frac{2}{8}\)
Simplify the result. 2 is the GCF of the numerator and denominator.
\(\frac{1}{4}\)
∴ There is a 1 in 4 chance of the spinner landing on "no prize".
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Engineer United Credit Union i running a promotion to get more cutomer. They will allow the invetor to chooe the type of interet their account earn a long a they invet a minimum of $10,000. Barry invet hi life aving during thi promotion for 5% interet over 3 year. How much more money will he have by chooing annual compound interet over annual imple interet?
Amount in Barry' account if he chooe imple interet:
Amount in Barry' account if he chooe compound interet:
How much more money will he have by chooing annual compound interet over annual imple interet?
The amount of money will he have by choosing annual compound interest over annual simple interest:
Amount in Barry' account if he choose simple interest: $11500Amount in Barry' account if he choose compound interest: $11576The money will he have by choosing annual compound interest over annual simple interest more is $76.The amount invested is $10000
so principal value is 10000
Rate of interest per annum is 5%
R = 5%
The interest was charged for 3 year of span so,
N = 3 years
Simple Interest:
Straightforward interest is a quick and simple technique to figure out how much money has earned interest; using this method, interest is always applied to the initial principal amount.
By using formula ,
S.I = PNR/100
= 10000 x 5 x 3 /100 = 1500
Amount in Barry' account if he choose simple interest: $11500
Compound Interest:
The interest that is computed using both the principal and the interest that has accrued during the previous period is called compound interest.
C.I = P[1 + r/100]ⁿ
= 1000[1 + 5/100]³
C.I = $1157
Amount in Barry' account if he choose compound interest: $11576
More money will he have by choosing annual compound interest over annual simple interest 11576 - 11500 = $76
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Suppose that the average price for a gallon of gasoline in the Country A is $2.78 and in Country B it is $2.45. Assume these averages are the population means in the two countries and that the probability distributions are normally distributed with a standard deviation of $0.25 in the Country A and a standard deviation of $0.20 in Country B.(a) What is the probability that a randomly selected gas station in Country A charges less than $2.50 per gallon? (Round your answer to four decimal places.) .1314 (b) What percentage of the gas stations in Country B charge less than $2.50 per gallon? (Round your answer to two decimal places.) .60 X % (c) What is the probability that a randomly selected gas station in Country B charged more than the mean price in the Country A? (Round your answer to four decimal places.) .0495
Answer:
(a) 0.1314(b) 59.87%(c) 0.0495Step-by-step explanation:
Given μA = $2.78, σA = $0.25, μB = $2.45, σB = $0.20, you want ...
p(A < $2.50)p(B < $2.50)p(B > $2.78)ProbabilityThe probabilities of interest are found using the CDF function of a suitable calculator or spreadsheet.
(a) P(A < $2.50) ≈ 0.1314
(b) P(B < $2.50) ≈ 59.87%
(c) P(B > $2.78) ≈ 0.0495
__
Additional comment
We note that you have provided your own answers to these questions. The answer you give for question B is not given as the percentage requested.
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The sales tax on a $750 computer at J&M Computers is $48.75. What is the sales tax rate?
Answer:
Step-by-step explanation:
So 750 and 48.75
so tax is a percent of the whole or 750
750=100%
48.75=x%
750/100=48.75/x
solve for x
multiply both sides by x
750x/100=48.75
multiply both sides by 100
750x=4875
divide both sides by 750
x=6.5
the asnwe ris 6.5%
If 2x + 3y = 6, what is x in terms of y?
Please explain why it’s G.
One way to write the steps could be like this:
\(2\text{x}+3\text{y} = 6\\\\2\text{x} = 6-3\text{y}\\\\\text{x} = \frac{6-3\text{y}}{2}\\\\\text{x} = \frac{6}{2}-\frac{3\text{y}}{2}\\\\\text{x} = 3-\frac{3}{2}\text{y}\\\\\)
Other methods may be possible.
Work out the length of AB. Give your answer to 3 significant figures
Answer:
D = 9.80
Step-by-step explanation:
To find AB, we'll use the distance formula:
Distance Formula = \(\sqrt{(x2-x1)^2+(y2-y1)^2}\)
D = \(\sqrt{(10-1)^2+(3-7)^2}\)
D = \(\sqrt{(9)^2+(-4)^2}\)
D = \(\sqrt{81+16}\)
D = \(\sqrt{96}\)
D = 9.80 (Upto 3 sfs)
A family with 4 adults and 3 children spends 47 for movie tickets at the theater. Another family with 2 adults and 4 children spends 36 . What is the price of a child's ticket in dollars?
Answer:
The price of a child ticket in dollars $8.00
Step-by-step explanation:
indico qué clase decimal resulta al hacer la división
With respect to the diagram, which relationship is false if ∠FEA is supplementary to ∠HGD?
The statement that is false with respect to the diagram given where angle FEA is stated to be supplementary to angle HGD, is:
A. measure of angle FEB + measure of angle HGD = 180°
What are Supplementary Angles?By definition, supplementary angles are two angles that have a sum of 180 degrees when added together, that is, one is a supplement of the other.
Given the image below, we know the following:
Since angle FEA is supplementary to angle FEA would be congruent to angle HGC, and angle HGD is congruent to angle FEB. This is because, the supplement of angle
angle FEA + angle FEB - angle FEA + angle HGD = 180° - 180°. Therefore,
angle FEB = angle HGD.
In summary, from the options given, the statement that is false with respect to the diagram given where angle FEA is stated to be supplementary to angle HGD, is:
A. measure of angle FEB + measure of angle HGD = 180°
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Please help me :( i need to finish it
Answer:
It's 5, or to find it, 3x =15
Write a user defined MATLAB function that determines the cross product of two vectors For the function name and arguments, use W = Cross(V,U). The input arguments V and U are the vectors to be multiplied. The output argument W is the result (three-element vector).(a) Use Cross to determine the cross product of the vectors v = i + 2j + 3k and u = 3i + 2j + k.(b) Use Cross to determine the cross product of the vectors v = -2i + j - 3k and u = i + j + k.
The MATLAB function to calculate the cross products of two vectors is w = cross(v,u). The cross products of v = i + 2j + 3k and u = 3i + 2j + k is -4i + 8j - 4k and the cross product of v = -2i + j - 3k and u = i + j + k is 4i - j - 3k.
The MATLAB syntax to calculate the cross product of two vectors or matrices is:
C = cross (A,B)
The arguments A and B should be vectors in length of 3 or matrices with the same dimension.
a) The given vectors are v = i + 2j + 3k and u = 3i + 2j + k
Hence, the MATLAB syntax is:
v = [1 2 3];
u = [3 2 1];
w = cross(v,u)
And the results will be:
w = 1x3
-4 8 -4
Hence,
v x u = -4i + 8j - 4k
b) a) The given vectors are v = -2i + j - 3k and u = i + j + k
Hence, the MATLAB syntax is:
v = [-2 1 -3];
u = [1 1 1];
w = cross(v,u)
And the results will be:
w = 1x3
4 -1 -3
Hence,
v x u = 4i - j - 3k
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