Answer:
They made 132$, and 66 slices were sold.
Step-by-step explanation:
If all of the pies were cut into six pieces, and each piece costed $2, then you can multiply 6 x 2 to determine how much each pie cost. ($12)
If each pie costed $12 and there were 11 pies sold in total, then you can multiply 12 x 11 to find out how much money they made.
And to find out how many slices they sold you just have to multiply the 11 total pies by 6 because each pie had six pieces.
QUICKKKKKK HELPPPPLines a and b are parallel and lines e and f are parallel. Vertical and parallel lines a and b are intersected by horizontal lines e and f. At the intersection of lines a and e, the top left angle is angle 1 and the top right angle is angle 2. At the intersection of lines b and e, the bottom left angle is angle 3. At the intersection of lines b and f, the uppercase right angle is angle 4 and the bottom left angle is angle 5. If m1 = 89°, what is m5? 1 89 91 179
Answer:
It is 91
Step-by-step explanation:
:)
Answer:
C: 91
Step-by-step explanation:
Unit test Edge 2021
If X has the hypergeometric distribution, what is the minimum value that X can take?
N – K
N
K
n
0
If X has the hypergeometric distribution, the minimum value that X can take is option (e) 0
The hypergeometric distribution models the probability of getting a certain number of successes in a fixed-size sample drawn without replacement from a finite population containing a known number of successes and failures.
The minimum value that X can take depends on the specific parameters of the distribution.
If the population size is N, the number of successes in the population is K, and the sample size is n, then the minimum value that X can take is max(0, n - (N - K)).
This is because the sample can contain at most n items, and if all of them are failures (i.e., none of them are successes), then X would be 0. On the other hand, if there are fewer than n failures in the population, then the sample can contain at most n - (N - K) successes. If n - (N - K) is negative, then there are more successes than failures in the population, and X can take any value between 0 and n, inclusive.
Therefore, the correct option is (e) 0
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Find a formula for the nth term inthis arithmetic sequence:a1 = 28, a2 = 21, a314. a4an
Given the following?
a1 = 28
a2 = 21
a3 = 14
a4 = 7
We are asked to find the formula for the nth term in above arthmetic sequence.
Generally the nth term of an arithmetic sequence is:
an = a1 + (n - 1)d
Where:
a1 is the first term
d is the common difference.
Lets find the common difference, d:
d = a2 - a1 = a3 - a2
d = 21 - 28 = 14 - 21
d = -7 = -7
d = -7
So,
an = a1 + (n - 1)d
an = 28 + (n - 1)-7
an = 28 -7n + 7
an = -7n + 28
Solve for substitution 2x-3y=-12 x+y=9
Given data:
The first equation is 2x+3y=-12.
The second equation is x+y=9.
The second equation can be written as,
y=9-x
Substitute the above value in second equation.
2x+3(9-x)=-12
2x+27-3x=-12
-x=-39
x=39
The value of y is,
39+y=9
y=-30.
Thus, the value of x is 39, and the value of y is -30.
continuing with the previous problem, find the equation of the tangent line to the function at the point (2, f (2)) = (2, 4) . show work and give tangent line in the form y = mx b .
The required answer is the equation of the tangent line to the function at the point (2, f(2)) = (2, 4) is y = 6x - 8.
To find the equation of the tangent line to the function at the point (2, f(2)) = (2, 4), we need to first find the derivative of the function at x = 2.
Assuming we have the original function loaded in content, we can find the derivative as follows:
f(x) = x^2 + 2x
f'(x) = 2x + 2
The tangent line touched the a curve can be made more explicit by considering the sequence of straight lines passing through two points, A and B, those that lie on the function curve. The tangent at is the limit when points ,approximates or tends .
If two circular arcs meet at a sharp point then there is no uniquely defined tangent at the vertex because the limit of the progression of secant lines depends on the direction in which "point B" approaches the vertex.
The existence and uniqueness of the tangent line depends on a certain type of mathematical smoothness, known as "differentiability."
Now we can plug in x = 2 to find the slope of the tangent line at that point:
f'(2) = 2(2) + 2 = 6
So the slope of the tangent line is m = 6.
To find the y-intercept (b) of the tangent line, we can use the point-slope form of a line:
y - y1 = m(x - x1)
Plugging in the point (2, 4) and the slope we just found, we get:
y - 4 = 6(x - 2)
Simplifying and solving for y, we get the equation of the tangent line in slope-intercept form:
y = 6x - 8
Therefore, the equation of the tangent line to the function at the point (2, f(2)) = (2, 4) is y = 6x - 8.
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the starting salaries of individuals graduating 5 years ago with a b.s. degree in business information technology are normally distributed with a mean of $52,500 and a standard deviation of $2,500. What percentage of students with a BIT degree will have starting salaries of $47,000 to $53,0007 (Round your answer to 2 decimal places.)
We can standardize the values and use the standard normal distribution to find the required probability:
z1 = (47000 - 52500) / 2500 = -2.2
z2 = (53000 - 52500) / 2500 = 0.2
Using a standard normal table or calculator, we can find that the area under the curve between z=-2.2 and z=0.2 is approximately 0.5578.
Therefore, the percentage of students with a BIT degree who will have starting salaries between $47,000 and $53,000 is 55.78%.
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In a triangle, the measure of the second angle is half the measure of the first. The third angle is
5 degrees more than twice the measure of the first. Find the measures of the three angles.
Answer:
50; 25; 105
Step-by-step explanation:
Sum of the angles of triange is 180, so we have 2x + x + 2*2x + 5 = 180 (x is number of degrees of second angle), if I understood word 'twice' correctly.
Next, let me solve this:
2x + x + 4x + 5 = 180
7x + 5 = 180
7x = 175
x = 25
So, second angle is 25 degrees, first is 25*2=50 degrees and third is 50*2+5=105 degrees.
Hope that this was helpful.
Which of the following does not describe a rigid motion transformation?
A. rotating a figure 90 degrees
B. dilating a figure by a scale factor of 1
C. translating a figure 5 units right
D. reflecting a figure across the x-axis
The correct answer is B. Dilating a figure by a scale factor of 1 does not describe a rigid motion transformation.
Rigid motion transforms, also known as isometrics, preserve the character's shape and size.
This means that the transformed shape is the same as the original shape. Rigid motion includes rotation, translation, and reflection.
Rigid Motion transformation preserves character shape and size.
This includes rotation, translation and reflection.
However, dilation changes the size of the shape.
Enlarging a picture by a factor of 1 does not change the size of the picture. This is not a rigid motion transform as the character will not be preserved exactly as it was before the transform.
For expansion with a scale factor of 1, the number is simply multiplied by 1 to get the same number.
The picture remains the same size after being scaled by a scale factor of 1, so no transformation is needed to change the shape or size of the picture.
Therefore, it does not apply to rigid body motion transformations.
In summary, enlarging a figure by a scale factor of 1 is not a rigid body motion transformation because it does not change the size of the figure, making it identical to the original figure.
Option B enlarges the figure by a scale factor of 1, so rigid body motion transformations are not described.
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A 63 sqm. Office space is in need of new tiles for it to resume work. The unit cost of a certain tile is P300 and a labor cost 100% of the materials. How much is the Total cost of the materials and labor?
The total cost of materials and labor for the office space, considering a tile unit cost of P300 and labor cost equal to the materials cost, amounts to P63,000.
To calculate the total cost of materials and labor, we first need to determine the cost of the tiles. Given that the unit cost of a certain tile is P300, we can multiply this by the area of the office space to find the total cost of the tiles. The office space has an area of 63 sqm, so the total cost of the tiles is P300 * 63 = P18,900.
Next, we need to calculate the labor cost, which is 100% of the materials cost. Since the materials cost is P18,900, the labor cost will be equal to P18,900. Therefore, the total cost of labor is also P18,900.
To find the total cost of materials and labor, we add the cost of the tiles (P18,900) and the labor cost (P18,900): P18,900 + P18,900 = P37,800.
Therefore, the total cost of materials and labor for the office space is P37,800.
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Graph the inequality x<3.
To graph an inequality, select the correct type of ray and then select the correct endpoint on the number line.
Answer:
You would start at 3 and then go backwords till the end.
So you'd choose the 3 option. <-o
Only use the filled in o if the equation is <_ with the line underneath, if its like < then its o
Hope this helps! <3
. Coordinate Descent (a) Give an example that shows that coordinate descent may not find the optimum of a convex function. That is, provide a simple function f and a point x such that coordinate descent starting from x will not get to the global minimum of f. (b) Let f(x,y)=x2+y2+3xy, where x,y are scalars. Note that f is not convex. Would coordinate descent with exact line search always converge to a stationary point?
Coordinate descent may not converge to a stationary point for non-convex functions.
(a) A simple example to show that coordinate descent may not find the optimum of a convex function is f(x,y) = x^2 - y^2. Coordinate descent starting from x will not get to the global minimum of f, which is (0,0).
If we start at (1,1), then the first step is to update x by minimizing f(x,1), which is equivalent to minimizing x^2 - 1. This is minimized at x = 0, so the first step takes us to (0,1).
The second step is to update y by minimizing f(0,y), which is equivalent to minimizing -y^2. This is minimized at y = 0, so the second step takes us to (0,0).
However, this is not the global minimum, which is at (-1,0). Therefore, coordinate descent did not find the global minimum.
(b) No, coordinate descent with exact line search may not always converge to a stationary point for f(x,y) = x^2 + y^2 + 3xy because it is not convex.
In fact, the objective function has a saddle point at (0,0), which is a stationary point but not a local minimum or maximum.
If we start at (1,1), then the first step is to update x by minimizing f(x,1), which is equivalent to minimizing x^2 + x + 1. This is minimized at x = -1/2, so the first step takes us to (-1/2,1).
The second step is to update y by minimizing f(-1/2,y), which is equivalent to minimizing y^2 - (3/2)y + 5/4. This is minimized at y = 3/4, so the second step takes us to (-1/2,3/4).
The third step is to update x again by minimizing f(x,3/4), which is equivalent to minimizing x^2 + (3/2)x + 9/16. This is minimized at x = -3/4, so the third step takes us to (-3/4,3/4).
We can continue this process, but we will never converge to a local minimum because the objective function has a saddle point.
Therefore, coordinate descent may not converge to a stationary point for non-convex functions.
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If a line has a slope of -4, what is the y-intercept if it also passed through the point (-2, 7)?
Answer:
As slope is found by and our points are ( ) ( ) for the minimum and maximum heights, respectively, we can reason that the slope of the best fit line should be While this is by no means a perfect slope, it does provide us with a good estimate for the actual slope of the best fit line.Using the information, our equation has only one more variable ...
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
y=mx +c
y= -4X + c
7 = -4 x -2 + c
7= 8 + c
7-8 = c
-1 = c
The gamma function of is defined as . using the transformation , derive the gamma distribution with parameters and . hence find and
The gamma distribution with parameters $\alpha$ and $\beta$ is a probability distribution that can be derived using the transformation $x = \beta y$.
The probability density function of the gamma distribution is:
f(x; α, β) = \frac{(\beta x)^{\alpha - 1} e^{-\beta x}}{\Gamma(\alpha)}
where $\alpha$ is the shape parameter and $\beta$ is the rate parameter.
The derivation is as follows:
* The gamma function is defined as:
Γ(α) = \int_0^{\infty} x^{\alpha - 1} e^{-x} dx
* Using the transformation $x = \beta y$, we get:
Γ(α) = \int_0^{\infty} (\beta y)^{\alpha - 1} e^{-\beta y} \beta dy
* We can then write the probability density function of the gamma distribution as:
f(x; α, β) = \frac{1}{\Gamma(\alpha)} \int_0^{\infty} (\beta y)^{\alpha - 1} e^{-\beta y} \beta dy
* This is the same as the probability density function of the gamma distribution with parameters $\alpha$ and $\beta$.
The mean and variance of the gamma distribution can be found using the following formulas:
E(X) = \alpha \beta
Var(X) = \alpha \beta^2
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One possible solution to a diminishing Social Security payroll is to decrease the Social Security benefit by 13%. How
would such a decrease effect the benefits on a salary of $54,000?
a. Benefit would decrease by $1,404 annually.
b. Benefit would decrease by $7,020 annually.
Ć. Benefit would decrease by $8,640 annually.
d. Benefit would decrease by $15,660 annually.
Answer:
the answer is B
Answer:
The correct answer is B) Benefit would decrease by $7,020 annually.
A cylinder has a height of 19 millimeters and a radius of 7 millimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Step-by-step explanation:
\(volume \: of \: cylinder = \pi \: {r}^{2} h \\ volume = 3.14 \times {7}^{2} \times 19 \\ = 2923.34 \: millimetres\)
Consider the points Q(23, 48) and R(7, 62). What is the component form of Vector Q R?
LeftAngleBracket negative 16, 110 RightAngleBracket
LeftAngleBracket negative 16, 14 RightAngleBracket
LeftAngleBracket 30, negative 14 RightAngleBracket
LeftAngleBracket 30, 110 RightAngleBracket
Answer:
The correct option is;
LeftAngleBracket negative 16, 14 RightAngleBracket which is \(\left \langle -16, 14 \right \rangle\)
Step-by-step explanation:
The given coordinates of the points are;
The starting point, Q(23, 48) and the final point, R(7, 62)
Therefore, we have;
The x component = The x-value of R - The x-value of R = 7 - 23 = -16
The y component = The y-value of R - The y-value of R = 62 - 48 = 14
Therefore, the component form of the vector QR = \(\left \langle -16, 14 \right \rangle\)
Answer:
B on Edg.
Step-by-step explanation:
Yay
Show that w is in the subspace of R4 spanned by V1, V2, and V3, where these vectors are defined as follows. 1 -4 -9 -4 6 3 5 W= -2 - 1 - 1 -2 4 11 -8 - 15 To show that w is in the subspace, express was a linear combination of V1, V2, and V3. Select the correct answer below and, if necessary, fill in any answer boxes to complete your choice. O A. The vector w is in the subspace spanned by V1, V2, and V3. It is given by the formula w= (v1+ 2+ 3. (Simplify your answers. Type integers or fractions.) B. The vector w is not in the subspace spanned by V1, V2, and V3.
To show that w is in the subspace of R4 spanned by V1, V2, and V3, we need to find constants c1, c2, and c3 such that:
w = c1V1 + c2V2 + c3V3
We can write this as a matrix equation:
| 1 -4 -9 -4 | | c1 | | -2 |
| 6 3 5 1 | x | c2 | = | -1 |
| 2 4 11 -8 | | c3 | | -1 |
| -15 7 22 -14 | | -2 |
We can solve this system of equations using row reduction:
| 1 -4 -9 -4 | | c1 | | -2 |
| 6 3 5 1 | x | c2 | = | -1 |
| 2 4 11 -8 | | c3 | | -1 |
| -15 7 22 -14 | | -2 |
R2 = R2 - 6R1
R3 = R3 - 2R1
R4 = R4 + 15R1
| 1 -4 -9 -4 | | c1 | | -2 |
| 0 27 59 25 | x | c2 | = | 11 |
| 0 12 29 -16 | | c3 | | 3 |
| 0 -23 67 -59 | | -32 |
R4 = R4 + 23R2
| 1 -4 -9 -4 | | c1 | | -2 |
| 0 27 59 25 | x | c2 | = | 11 |
| 0 12 29 -16 | | c3 | | 3 |
| 0 0 174 -294 | | 225 |
R3 = R3 - (12/27)R2
R4 = (1/174)R4
| 1 -4 -9 -4 | | c1 | | -2 |
| 0 27 59 25 | x | c2 | = | 11 |
| 0 0 -1 22/3 | | c3 | | -13/3 |
| 0 0 1 -98/87 | | 25/58 |
R1 = R1 + 4R3
R2 = R2 - 59R3
R4 = R4 + (98/87)R3
| 1 0 -13 -10/3 | | c1 | | 21/29 |
| 0 27 0 -2119/87 | x | c2 | = | 2238/87 |
| 0 0 1 -98/87 | | c3 | | 25/58 |
| 0 0 0 1390/2391 | | 1009/2391 |
R1 = R1 + (13/1390)R4
R2 = (1/27)R2
R3 = R3 + (98/1390)R4
| 1
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WILL MARK BRAINLIEST IF CORRECT
Answer:
it is actually 70
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
x + ( x + 2 ) + ( x + 4 ) = 210
3x + 6 = 210
3x = 204
x = 68
Remember that x is the smallest, so we have to add 4 to 68 to get the largest of the 3 consecutive even integers: 68 + 4 = 72.
B) work out the probability that it will rain on exactly two consecutive days
(a)The probability that it will rain on all three days is 34.3%.
(b) The probability that it will rain on exactly two consecutive days is 49%.
Probability :
The probability of an event is a number that indicates the probability of the event occurring. Expressed as a number between 0 and 1 or as a percent sign between 0% and 100%. The more likely an event is to occur, the greater its probability. The probability of an impossible event is 0; the probability of a certain event is 1. The probabilities of two complementary events A and B - either A occurring or B occurring - add up to 1.
A simple example is tossing a fair (fair) coin. If a coin is fair, both possible outcomes ("heads" and "heads") are equally likely; since the two outcomes are complementary and the probability of "heads" is equal to the probability of "heads" Probability, so the probability of each of the two outcomes is equal to 1/2 (which can also be written as 0, 5 or 50%).
According to the Question:
The three-day raining forecast for Friday, Saturday and Sunday is given that,
Friday = 70 %
Saturday = 70 %
Sunday = 70 %
Therefore,
The probability that it will rain on all three days is,
P(E) = 0.7× 0.7× 0.7
= 0.343
Or, P(E) = 3.43%
Now,
The probability that it will rain on exactly two consecutive days is,
P(E) = 0.7 × 0.7
= 0.49
∴ P(E) = 49%
Complete Question:
The table below shows the three-day forecast for Friday, Saturday and Sunday in Aberystwyth.
Days Probability of Rain
Friday 70%
Saturday 70%
Sunday 70%
a) Work out the probability that it will rain on all three days
b) Work out the probability that it will rain on exactly two consecutive days.
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PLEASE HELP ASAP This probability distribution shows the
number of times a group of people takes
selfies before liking them.
Retakes
0
1
2.
3
4
Frequency
27
29
18
14
12
Using this distribution, find the probability that a
person will retake their selfie exactly 1 time.
p = [?]
Answer:
The probability is 0.29
Step-by-step explanation:
Firstly, we need to know the total number of retakes
That is simply the sum of the frequencies
we have this as;
27 + 29 + 18 + 14 + 12 = 100
so the probability of retaking exactly once will be the number of 1 retakes divided by total
That would be 29/100 = 0.29
what is 1/8 - 7/8 ? ( its a fraction)
Answer:
1/8-7/8= -3/4
Step-by-step explanation:
1/8-7/8 is just like 7/8-1/8 but is the opposite
7/8-1/8=6/8 or 3/4
1/8+6/8=7/8
1/8-1/8=0
0-6/8= -6/8 or -3/4
how many micrograms are in 65.3 kg?
The total number of micrograms present in the 65.3 kilograms is equal to 65,300,000,000 micrograms.
Conversion of units from kilogram to grams is :
1 kilogram = 1,000 grams
Conversion of units from grams to micrograms is :
1 grams = 1,000,000 micrograms
⇒ 1 kilogram = ( 1,000 × 1,000,000 ) micrograms
⇒1 kilograms = 1,000,000,000 micrograms
Substitute the required value for the converting kilogram to micrograms we get,
⇒ 65.3 kilograms = ( 65.3 × 1,000,000,000 ) micrograms
⇒65.3 kilograms = 65,300,000,000 micrograms
Therefore, the total quantity of micrograms in 65.3 kilograms is equal to 65,300,000,000 micrograms.
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a chart that compares three set of values in a three-dimensional chart is _____.
A chart that compares three sets of values in a three-dimension chart is called surface.
A two-dimensional collection of points (flat surface), a three-dimensional collection of points with a curved cross section (curved surface), or the perimeter of any three-dimensional solid are all examples of surfaces in geometry.
A surface is typically a continuous boundary that separates two areas of a three-dimensional space. For instance, a sphere's surface divides its interior from its exterior, and a horizontal plane divides the half-planes above and below it. Despite the fact that regions they contain are three-dimensional and have a volume, surfaces are basically two-dimensional and have an area. Despite this, surfaces are frequently referred to by the names of the regions they surround. Differential geometry studies the characteristics of surfaces, particularly the concept of curvature.
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d(1)=1,d(n)=n•d(n-1) what is the sequence
(20 POINTS PLEASE HELP)
The table shows the average wholesale prices that a manufacturer charges for different types of computer products.
Enrique wants to purchase some of those products for a store he owns. His store will then sell the computer products to customers.
Enrique wants to spend $20,000 on the wholesale purchase of desktop computers and tablets only.
1. Write a linear equation in standard form that shows the number x of desktop computers and the number y of tablets that Enrique can buy. Explain why it is helpful to use the standard form of a linear equation for this situation.
Answer:
800x + 400y = 20000Step-by-step explanation:
Total to spent
$20000Cost of a desktop PC
$800Cost of a tablet
$400Cost of desktop PCs and tablets
800x and 400yRequired equation
800x + 400y = 20000The standard form allows to see numbers of each item and their total price
Help pls!!! Photo attached.
Answer:
i hope this helps
Step-by-step explanation:
Help please and thank you
Answer:
6
ENTER IT NOW, PLEASE GIVE ME BRAINLIEST
which of the following sentence completions are a binary search tree, every element 'a' is .....group of answer choices... a. lesser than all elements in its left subtree.... b. greater than all elements in its left subtree.... c. lesser than all elements in its right subtree.... d. greater than all its descendants... e. greater than all elements in its right subtree.
Options a, d, and e could describe a binary search tree while the rest doesn't.
In a binary search tree (BST), every element 'a' has certain properties regarding its position relative to other elements in the tree. Let's analyze it:
a. "Lesser than all elements in its left subtree": This statement would hold true in a BST. In a BST, the left subtree contains elements that are smaller than the current element.
b. "Greater than all elements in its left subtree": This statement would not hold true in a BST. In a BST, the left subtree contains elements that are smaller than the current element, so 'a' cannot be greater than all elements in its left subtree.
c. "Lesser than all elements in its right subtree": This statement would not hold true in a BST. In a BST, the right subtree contains elements that are greater than the current element, so 'a' cannot be lesser than all elements in its right subtree.
d. "Greater than all its descendants": This statement would hold true in a BST. In a BST, all elements in the left subtree are smaller than the current element, and all elements in the right subtree are greater. Therefore, 'a' would be greater than all its descendants.
e. "Greater than all elements in its right subtree": This statement would hold true in a BST. In a BST, the right subtree contains elements that are smaller than the current element, so 'a' can be greater than all elements in its right subtree.
In summary, options a, d, and e could describe a binary search tree, while options b and c would not accurately describe a binary search tree.
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Find
÷
.
Input your answer as a reduced fraction.
The division of 78 by 13 will gives 78/13 as reduced fractions
How can we interpret the division?
When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division, can be interpreted as equally dividing the number WHICH is being divided in total x parts, where x is the number of parts the number is divided.
WE have to divide the number 78 by 13 to find the fraction form first.
78 divided by 13 means 78÷ 13
Therefore, 78/13 in reduced fractions
78/13 = 6 in whole number
Hence, The division of 78 by 13 will gives 78/13 AS reduced fractions
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The complete question is;
Find 78 divided by 13. Input your answer as a reduced fraction.
if you wanted to perform a hypothesis test that the mean service time for vendor 1 (µ1) greater than vendor 2 (µ2), which one of the following would be an appropriate null and alternative hypothesis?
This hypothesis test is a one-tailed test, which is the response to the supplied question based on the hypothesis test.
What is Null hypothesis?A statement that there is no significant difference between two or more populations or that there is no correlation between two variables is known as the null hypothesis in statistical hypothesis testing. "H0" is a common notation for it.
Until contrary evidence is presented, the null hypothesis—which is typically the default position—is taken to be true. "H1" stands for the alternative hypothesis, which is the null hypothesis's opposite and is the hypothesis that is put to the test.
The following will serve as an appropriate null and alternate hypothesis when determining if vendor 1's mean service time (µ1) is longer than vendor 2's (µ2):
It is true that vendor 1's mean service time is shorter than or equal to vendor 2's mean service time (µ1 ≤ µ2).
As an alternative, vendor 1's mean service time is longer than vendor 2's mean service time (µ1 > µ2).
We are solely interested in the probability that the mean service time for vendor 1 is longer than that of vendor 2 in our one-tailed hypothesis test.
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