9514 1404 393
Answer:
-3
Step-by-step explanation:
The "b" is the y-intercept in the slope-intercept form ...
y = mx + b
Filling in the given values, we can find b.
-1 = (2/3)(3) +b
-1 = 2 + b . . . . simplify
-3 = b . . . . . . . subtract 2
The value for b is -3.
I NEED HELP ON THIS ASAP!!
The perimeter of ΔXYZ is approximately 23.54 units.
How to determine the perimeter?
To determine the perimeter of the triangle ΔXYZ, we need to find the length of all three sides and add them together. We can use the distance formula to find the length of each side:
Side XY:
d(XY) = √[(x₂ - x₁)² + (y₂ - y₁)²]
d(XY) = √[(10 - 2)² + (9 - 5)²]
d(XY) = √(64 + 16)
d(XY) = √80
d(XY) ≈ 8.94
Side YZ:
d(YZ) = √[(x₂ - x₁)² + (y₂ - y₁)²]
d(YZ) = √[(6 - 10)² + (1 - 9)²]
d(YZ) = √(16 + 64)
d(YZ) = √80
d(YZ) ≈ 8.94
Side XZ:
d(XZ) = √[(x₂ - x₁)² + (y₂ - y₁)²]
d(XZ) = √[(6 - 2)² + (1 - 5)²]
d(XZ) = √(16 + 16)
d(XZ) = √32
d(XZ) ≈ 5.66
To find the perimeter, we add up the three side lengths:
Perimeter = d(XY) + d(YZ) + d(XZ)
Perimeter ≈ 8.94 + 8.94 + 5.66
Perimeter ≈ 23.54
Therefore, the perimeter of ΔXYZ is approximately 23.54 units.
To determine the height of this triangle, we can use various methods such as the area formula, Pythagorean theorem, or the distance formula. However, the process of determining the height will be the same as in previous activities, regardless of the triangle's vertices' coordinates.
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What is the world record for digits of pi memorized?.
The world record for memorizing and reciting the most digits of pi is held by Rajveer Meena from India. He recited 50,000 decimal places of pi in 2020, which is the current recognized world record.
Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is an irrational number, which means it cannot be expressed as a finite decimal or a fraction. The decimal representation of pi is non-repeating and goes on indefinitely without a pattern. The value of pi is approximately 3.14159, but it is commonly approximated as 3.14 for simplicity in mathematical calculations. However, the exact value of pi has been calculated to trillions of digits using various computational methods. The quest to calculate more digits of pi continues to this day, and the computation of pi serves as a benchmark for testing the performance of supercomputers and computational algorithms. The current record for calculating the most digits of pi is trillions of digits, achieved through the use of powerful computers and advanced algorithms.
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A rain gutter along the edge of a roof has the shape of a rectangular prism. It is 11 inches high, 2 inches wide, and 11 feet long.
How much water can the gutter hold in cubic inches?
in gallons? Use the fact that 1 gallon = 231 cubic inches
Please show how you got your answers
The gutter can hold_______cubic inches of water.
The gutter can hold about_______gallons of water.
(Round to the nearest tenth as needed.)
Answer:
hi love u
Step-by-step explanation:
wanna talk its bruce
chris has been given a list of bands and asked to place a vote. his vote must have the names of his favorite and second favorite bands from the list. how many different votes are possible?
There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.
To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.
Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.
Therefore, the number of different votes possible is m * (m-1) / 2.
In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.
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i want the answers for these exercise
The expressions when evaluated are J = 3, K = 245, L = 18, M = 6 - 2√5, N = -1, L = 14, P = 2, R = 4 and T = 4
How to evaluate the expressionsExpression J
From the question, we have the following parameters that can be used in our computation:
\(J = \sqrt{2\sqrt{9} + 3}\)
Evaluate the inner square root
\(J = \sqrt{2 * 3+ 3}\\\\\)
So, we have
J = √9
This gives
J = 3
Expression K
Here, we have
K = √(25 * 7⁴)
So, we have
K = 5 * 7²
Evaluate
K = 245
Expression L
Here, we have
L = (3√2)²
Evaluate
L = 18
For other expressions, we have
M = (1 - √5)²
M = 1 - 2√5 + 5
M = 6 - 2√5
N = (√2 + √3)(√2 - √3)
Apply the difference of two squares
N = 2 - 3
N = -1
L = (√7 * √2)²
L = 14
P = (3 - √7)(3 + √7)
Apply the difference of two squares
P = 9 - 7
P = 2
\(R = \sqrt{19 - \sqrt{5 + \sqrt{16}\)
Evaluate the inner square root
\(R = \sqrt{19 - \sqrt{5 + 4\)
\(R = \sqrt{19 - \sqrt{9\)
Evaluate the inner square root
\(R = \sqrt{19 - 3\)
\(R = \sqrt{16\)
Evaluate
R = 4
\(T = \sqrt{11 + \sqrt{29 - \sqrt{13 + \sqrt{6 + \sqrt{8 + \sqrt 1}}\)
Evaluate the inner square root
\(T = \sqrt{11 + \sqrt{29 - \sqrt{13 + \sqrt{6 + \sqrt{8 + 1}}\)
\(T = \sqrt{11 + \sqrt{29 - \sqrt{13 + \sqrt{6 + \sqrt{9\)
Evaluate the inner square root
\(T = \sqrt{11 + \sqrt{29 - \sqrt{13 + \sqrt{6 + 3\)
\(T = \sqrt{11 + \sqrt{29 - \sqrt{13 + \sqrt{9\)
Evaluate the inner square root
\(T = \sqrt{11 + \sqrt{29 - \sqrt{13 + 3\)
\(T = \sqrt{11 + \sqrt{29 - \sqrt{16\)
Evaluate the inner square root
\(T = \sqrt{11 + \sqrt{29 - 4\)
\(T = \sqrt{11 + \sqrt{25\)
Evaluate the inner square root
\(T = \sqrt{11 + 5\)
T = √16
T = 4
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ABC is reflected to form AA'B'C' The coordinates of point A are (-4, -3), the coordinates of point B are (-7, 1), and the coordinates of point C are (-1, -1). Which reflection results in the transformation of A ABC to AA'B'C'?
reflection across the x-axis.
reflection across the y-axis
reflection across y = x.
reflection across y=-x.
Reflectiοn acrοss y=x: Reflecting pοint A acrοss y=x gives us A'=(−3,−4), which is the cοrrect image οf A in AA'B'C'.
What is Cοοrdinate Geοmetry?Cοοrdinate geοmetry is a branch οf mathematics that deals with the study οf geοmetry using algebraic methοds and the principles οf cοοrdinate systems. It invοlves representing geοmetric figures using cοοrdinates, equatiοns, and functiοns.
Tο find οut which reflectiοn results in the transfοrmatiοn οf ABC tο AA'B'C', we need tο reflect each pοint οf ABC acrοss the given line and see which reflectiοn gives us the cοrrespοnding pοint in AA'B'C'.
Reflectiοn acrοss the x-axis: Reflecting pοint A acrοss the x-axis gives us A'=(−4,3). Hοwever, this is nοt the cοrrect image οf A in AA'B'C', sο this reflectiοn dοes nοt result in the transfοrmatiοn οf ABC tο AA'B'C'.
Reflectiοn acrοss the y-axis: Reflecting pοint A acrοss the y-axis gives us A'=(4,−3). Again, this is nοt the cοrrect image οf A in AA'B'C', sο this reflectiοn dοes nοt result in the transfοrmatiοn οf ABC tο AA'B'C'.
Reflectiοn acrοss y=x: Reflecting pοint A acrοss y=x gives us A'=(−3,−4), which is the cοrrect image οf A in AA'B'C'. Tο see this, nοte that A' lies οn the line y=x, and the distance between A' and the οrigin is equal tο the distance between A and the οrigin, sο the transfοrmatiοn preserves the magnitude οf the vectοr cοnnecting A tο the οrigin. Therefοre, reflectiοn acrοss y=x results in the transfοrmatiοn οf ABC tο AA'B'C'.
Reflectiοn acrοss y=-x: Reflecting pοint A acrοss y=-x gives us A'=(3,4), which is nοt the cοrrect image οf A in AA'B'C'. Therefοre, this reflectiοn dοes nοt result in the transfοrmatiοn οf ABC tο AA'B'C'.
Therefore, the reflection across y=x results in the transformation of ABC to AA'B'C'.
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Jeri finds a pile of money with at least $200. If she puts $80 of the pile in her left pocket, gives away 1/3 of the rest of the pile, and then puts the rest in her right pocket, she'll have more money than if she instead gave away $200 of the original pile and kept the rest. What are the possible values of the number of dollars in the original pile of money? (Give your answer as an interval.)
The possible values of the number of dollars in the original pile of money is on the interval (200, 440)
How to solve Inequality Word Problems?We are told that Jeri finds a pile of money with at least $200.
Now, let x be the additional amount over the original amount of $200.
The greater side of the inequality will be expressed as;
Original pile = (200 + x)
After she gives away $80 and as such she has; (120 + x)
And she gives (1/3) of this away which means she will have;
= (1/3) (120 + x)
Thus, she must have (2/3) of this left
= (2/3)(120 + x) = amount in her right pocket
The lesser side of the inequality is expressed as;
(x + 200) - 200 = x
Thus, we now have that;
2[120 + x ]/3 > x
240 + 2x > 3x
240 > 3x - 2x
240 > x
x < 240
Thus, we can conclude that the original amount could be on the interval (200, 440)
The possible values of the number of dollars in the original pile of money is on the interval (200, 440)
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in how many years will rupees 1200 at the rate of 15% interest amount to 1740
Answer: 3 years
Step-by-step explanation:
Interest = 1740 - 1200 = 540
SI = prt / 100
540 = 1200 x 0.15 x t
540 = 180t
t = 540 / 180 = 3
Find the interest amount.
\(I=1740-1200=540\)
Use the formula for simple interest.
\(I=prt/100\)
Solve for t.
\(540=1200 \times 15\% \times t\)
\(540=1200 \times \frac{15}{100} \times t\)
\(540=180t\)
\(t=\frac{540}{180}\)
\(t=3\)
3 years.PLEASE HELP DUE IN 1 HOUR, AND PLEASE DON'T PUT THOSE LINKS OR ELSE I WILL REPORT YOU.
Answer:
1. b > 12
2. To draw it on the number line, draw a circle around 12, and draw an extending line going to the left of 12.
Step-by-step explanation
Just learn your maths! lol
Answer:
b > 12
Step-by-step explanation:
How do I rewrite this problem?
Answer:
3 1/4
Step-by-step explanation:
HOPE THIS HELPED!!!!!! <3
A survey was conducted to see how many phone calls people made daily. The results are displayed in the table below:
From the given frequency table,
Frequency represents the number of people who made the calls.
Total number of people who made the calls = 16 + 11 + 5 + 3 + 1
= 36
Number of people who made less than 13 calls = 16 + 11 + 5
= 32
Number of people who made at least 9 calls = 5 + 3 + 1
= 9
Percentage of people who made at least 9 calls = \(\frac{\text{Number of people who made at least 9 calls}}{\text{Number of people who made the calls}}\times 100\)
= \(\frac{9}{36}\times 100\)
= 25%
Difference in the number of people who made the calls between 5-8 calls than 13-16 calls = 11 - 3 = 8
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prove that there are no solutions in integers x and y to the equation 2x2 + 5y2 = 14.
The quadratic equation does not have solutions where both x and y are integers.
How to prove that there are no integer solutions for the equation?Here we have the following quadratic equation:
2x^2 + 5y^2 = 14
We want to check that we can't solve this equation with x and y integers, to see that, we can start by isolating one of the variables:
2x^2 + 5y^2 = 14
5y^2 = 14 - 2x^2
y^2 = (14 - 2x^2)/5
y = ±√((14 - 2x^2)/5)
Now, trivially:
(14 - 2x^2)/5
Is not an integer for any integer value of x, and this happens because 5 is not a factor of 14, thus, for any integer value of x the value of y that we get is non integer, then there aren't two integers that solve the quadratic equation.
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In ASTU, the measure of ZU=90°, US = 5.9 feet, and TU = 2.6 feet. Find the measureof ZT to the nearest tenth of a degree.
In ASTU, the measure of ZU=90°, US = 5.9 feet, and TU = 2.6 feet. Find the measure
of ZT to the nearest tenth of a degree.
step 1
In the right triangle STU
we have
tan(T)=SU/TU -------> by opposite side divided by the adjacent side
substitute given values
tan(T)=5.9/2.6
using a calculator
A 2012 Gallup survey interviewed by phone a random sample of 474,195 U.S. adults. Participants were asked to describe their work status and to report their height and weight (to determine obesity based on a body mass index greater than 30). Gallup found 24.9% obese individuals among those interviewed who were employed (full time or part time by choice) compared with 28.6% obese individuals among those interviewed who were unemployed and looking for work.
The sample in this study is
a. a simple random sample.
b. a stratified sample
c. a voluntary response sample.
d. a cohort
The correct option is c. a voluntary response sample.
The sample in the 2012 Gallup survey is a voluntary response sample. In this type of sampling, individuals choose whether or not to participate in the survey, without being randomly selected or specifically chosen by the researchers.
In the survey, a random sample of 474,195 U.S. adults was interviewed by phone. They were asked about their work status and were also requested to provide their height and weight to determine obesity based on a body mass index greater than 30.
It is important to note that the participants volunteered to participate in the survey, and they were not selected through a random process.
Voluntary response sampling is commonly used in situations where researchers want to gather public opinion or collect data on a specific topic.
It allows individuals to voluntarily express their views or provide information based on their own interest or motivation. This sampling method can be relatively easy to implement and cost-effective, especially when reaching a large number of participants.
However, voluntary response sampling has inherent limitations and potential biases. One of the main concerns is self-selection bias. Individuals who choose to participate may have certain characteristics, attitudes, or experiences that differ from those who choose not to participate.
This can lead to a non-representative sample that may not accurately reflect the broader population.
In the Gallup survey, the participants who were interviewed and responded to the survey may have had specific motivations or interests related to the topic of work status and obesity.
Their responses may not be generalizable to the entire population of U.S. adults. For example, the prevalence of obesity reported among the interviewed individuals who were employed or unemployed may not necessarily reflect the true prevalence in the overall population.
To overcome the limitations of voluntary response sampling and obtain a more representative sample, researchers often use other sampling methods, such as random sampling or stratified sampling.
These methods involve randomly selecting participants from the target population or dividing the population into subgroups and selecting participants from each subgroup in proportion to their representation in the population. This helps ensure a more diverse and representative sample.
In conclusion, the sample in the 2012 Gallup survey is a voluntary response sample. While this method allowed for data collection from a large number of participants, it also introduced potential biases due to self-selection. It is important to be aware of these limitations when interpreting the results and generalizing them to the broader population.
However, the correct option is C) a voluntary response sample.
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The measures of the interior angles of a quadrilateral are 2x + 10, 3x, 3x + 5, and 5x + 20. What is the measure of the largest angle?
Answer:
Step-by-step explanation:
Finding the angles of quadrilateral:
Sum of all angles of quadrilateral = 360
2x + 10 + 3x + 3x + 5 + 5x +20 =360
2x + 3x + 3x + 5x + 10 + 5 + 20 = 360
Combine like terms
13x + 35 = 360
Subtrace 35 from both sides
13x = 360 - 35
13x = 325
Divide both sides by 13
x = 325/13
x = 25
5x +20 = 5*25 +20
= 125 +20
= 145°
Measeure of largest angle : 145°
As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions shown. Abigail sloshes 23\dfrac2332start fraction, 2, divided by, 3, end fraction of the water out of her cup before she gets a chance to drink any.
Answer:
\(8 \pi\)
Step-by-step explanation:
The computation of the volume of water remaining is shown below:
The volume of the cone is
\(\pi r^2 \frac{h}{3}\\\\\pi \times 3^2 \times \frac{8}{3} \\\\\frac{72}{3} \pi \\\\24 \pi\)
Now since it is two-third so the remaining is one -third
\(= 24 \pi \times \frac{1}{3}\)
\(= 8 \pi\)
hence, the volume of water remaining is \(8 \pi\)
Select all the correct answers.
Which relations are functions?
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у
-2
-4
-2
-6
0
-8
2
-10
х
у
0
4
10
5
20
6
10
7
х
у
2
-10
1
-20
0
-10
-1
-20
х
у
2.5
lo
3.5
4
4.5
8
6.5
12
у
-10
4
-20
5
0
6
-10
7
The relations that are function are Table C and Table D
FunctionFunctions relates inputs to outputs. A function relates each value of a set with exactly one value of another sets.
Every element in the input must be related to some element in the output.
Same elements in x cannot be related to different elements in y.
Therefore, the relations that are function are as follows:
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A plumber charges a fixed rate of $40 per job plus $10 for each hour, h, that he works at the job. Which equation models the total amount the plumber charges, y, if he works h hours?
Answer:
it says how many total so i know we are doing addition we are going to add 40+10=50 so the answer is $50 dollars he charges.
construct an appropriate triangle to find the missing values. (0° ≤ θ ≤ 90°, 0 ≤ θ ≤ π/2)
To find missing values in a triangle with angles between 0° and 90° (or 0 and π/2 radians), an appropriate triangle can be constructed based on the given information. Trigonometric relationships can then be applied to determine the missing values.
In a triangle with angles between 0° and 90° (or 0 and π/2 radians), we can construct an appropriate triangle by considering the information provided. The specific construction depends on the given values or missing values that need to be determined.
For example, if we are given the lengths of two sides of a right triangle, we can construct the triangle by drawing a base representing one side and constructing a perpendicular line segment representing the other side. The angle between these sides would be 90°, forming a right triangle.
Once the triangle is constructed, we can use trigonometric relationships such as sine, cosine, or tangent to find missing values. For instance, if we know the length of one side and the measure of one angle, we can use the sine or cosine function to find the lengths of other sides or angles.
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One of the sides of a parallelogram has the length
of 5 in. Can the lengths of the diagonals be
4 in. and 6 in.?
Answer:
Yes they can.
The only time they would have to be different lengths is if it was a square
SOMEONE PLS HELP! THIS IS OVER DUE, HRLP ASAP!! I’LL GIVE 100 POINTS IF THIS IS ALL CORRECT! Work needs to be shown for all problems. ( don’t do the ones that are crossed off )
Answer:
Step-by-step explanation:
6. Soil volume = area * height = 1/2*4*4*2.5 = 20 cubic ft
7. Concrete volume = length * width * height = 1.8*1.8*3 = 9.72 cubic ft
Block weight = 95*9.72 = 923.4 lb
8. It is unclear but let's assume the ramp consists of 5 pieces.
The total area = 4*6+3.5*(4+6+7.2) = 84.2 sq ft
So it will require a minimum of 85.2/(4*2) = 10.65 or 11 sheets of plywood
Answer:
Step-by-step explanation:
the skateboard ramp only needs 3 pieces: 2x triangle of 4' by 6' and 1x rectangle of 3.5' by 7.2'.
the 2x triangle require 4x6/4x2 = 3 sheets of plywood
the rectangle require 3.5x7.2/4x2 = 3.15 ~4
so minimum is 7 sheets
Find the angle A if angle B is 60 degrees and angle A and angle B are complementary
Answer:
30 degrees
Step-by-step explanation:
Complimentary = 90 degrees
90 - 60 = 30 degrees
alternate interior angles
Max bought two deli sandwich rolls measuring 18 inches and 30 inches. He want them to be cut in equal sections that are as long as possible. Into what lengths should the rolls be cut?
Answer: Into 6 inches
Step-by-step explanation:
In this situation, the problem will be to find the greatest common factor of 18 and 30 because that is how you could divide them.
The GCF of 18 is 1,2,3,6,9, and 18
The GCF of 30 is 1,2,3,5,6,10,15 and 30
The greatest possible factor of both numbers is 6
Sunil asks Sandra for 15 cookies. Saki then asks Sandra for 12 cookies. If Sandra originally had sixty cookies, What fraction of the initial amount of cookies does she have?
Answer
1/1
of the initial amount of cookies
Answer: 11/20
Step-by-step explanation: you take the original 60 cookies and take away the 12 and the 15 to get 33. The original whole number was 60/60. Now it would be 33/60, but in simplest form it is 11/20.
Divide.
0.4) 29
Enter your answer as a decimal in the box.
Answer:
0.0138
Step-by-step explanation:
the division gives a value which is almost recurring hence we round off to get 0.0138
Answer:
72.5 (I did the math)
Jamal performed an experiment flipping a coin. He did 10 trials and then his arm got tired. He recorded his results in the table. Based on the experimental probability, Jamal predicted that the number of times the coin lands heads up will always be greater than the number of times it lands tails up. What is the error in his prediction?
Answer:
The error in his prediction is that he had too small of a sample size for the data to be reliable in how the trend would continue.
Answer:
He did not perform enough trials to compare the theoretical and experimental probabilities.
Step-by-step explanation:
the total probability rule is used when an analyst is interested in: a. all potential outcomes. b. a set of events. c. a single outcome.
The total probability rule is used when an an analyst is interested in a)all potential outcomes. So, correct option is a.
Probability is the branch of the mathematics concerning numerical descriptions of how likely an event is going to occur, or how likely it is that a proposition is true. The probability of an event is the number between 0 and 1, where, roughly speaking, 0 indicates that impossibility of the event and 1 indicates certainty. If probability of an event is higher then, the more likely it is that the event will occur.
Probability can be defined as the proportion of the number of favorable outcomes to the total number of outcomes of an event..
Hence, option a is correct.
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what's the answer to this question
The slope of a straight line is 1, the y- intercept is -7, the equation is
y= x-7.
Describe Slope?Slope is a mathematical concept that refers to the measure of how steep or inclined a line is. It is a measure of the rate of change of a line, representing the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line.
To find the slope and y-intercept of a line, we can use the two-point form of the equation of a straight line:
slope = (y2 - y1) / (x2 - x1)
y-intercept = y1 - slope * x1
Using the given coordinates (8,1) and (-1,-8), we can calculate the slope as:
slope = (y2 - y1) / (x2 - x1)
= (-8 - 1) / (-1 - 8)
= -9 / -9
= 1
To find the y-intercept, we can use one of the two points and the slope. Let's use the point (8,1):
y-intercept = y1 - slope * x1
= 1 - 1 * 8
= -7
Therefore, the equation of the line in slope-intercept form is:
y = mx + b
where m is the slope (-1) and b is the y-intercept (-7):
y = 1x - 7
or
y = x - 7
Alternatively, we can use point-slope form of the equation of the straight line:
y - y1 = m(x - x1)
Using point (8,1) and the slope (1), we can write:
y - 1 = 1(x - 8)
Simplifying, we get:
y - 1 = x - 8
y = x - 7
This is the same equation we obtained in slope-intercept form above.
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A two-sided test is performed when we are interested in deviations _____________ from the hypothesized value.
When we are interested in deviations greater than or less than the hypothesized value, we do a two-sided test.
A two-tailed or two-sided test determines whether a sample is greater than or less than a specific range of values by using a two-sided critical area of distribution.
This test tests the null hypothesis. This test determines whether there is a statistically significant difference between the sample and population mean.
This test also determines whether a claim is true or not.
This test differs from a one-tailed test because one-tailed tests permit the potential for a one-directional effect. But the two-tailed tests examine the potential for two-directional (positive and negative directions) effects.
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