Answer:
= –179/9
or –19 ^8/9
Step-by-step explanation:
–19²/9 –4¹/9 –(–3⁴/9)
–(173/9) –37/9 + 31/9
=L.c.m = 9
–173–37+31/9
= –210+31/9
= –179/9
or –19 ^8/9
i hope i was able to helped
when an analysis of variance is performed on samples drawn from k populations, the mean square between treatments (mstr) is . a. sstr/k b. sstr/nt c. sstr/(k – 1) d. sstr/(nt – 1)
When data from k populations are utilized in an analysis of variance, the mean square between treatments (MSTR) = (C) SSTR/(k - 1).
What is an analysis of variance?A statistical method called analysis of variance (ANOVA) is used to examine variations in response variables (continuous random variables) evaluated under settings with discrete factors (classification variables, often with nominal levels).
Analysis of Variance is referred to as ANOVA.
Ronald Fisher created a statistical test in 1918, and it has been in use ever since.
Simply put, an ANOVA analysis determines if the means of three or more independent groups differ statistically.
The mean square between treatments (MSTR) equals SSTR/ when samples from k populations are used in an analysis of variance (k - 1).
Therefore, when data from k populations are utilized in an analysis of variance, the mean square between treatments (MSTR) = (C) SSTR/(k - 1).
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Correct question:
When an analysis of variance is performed on samples drawn from k populations, the mean square between treatments (MSTR) is _____.
a. sstr/k
b. sstr/nt
c. sstr/(k – 1)
d. sstr/(nt – 1)
Which is the solution for the system of
linear equations graphed below?
A. (-4,3)
B. (0, 1)
C. (0, 3)
D. (-3, 4)
Answer:
D (-3,4)
Step-by-step explanation:
This is the point that the two line intersect. From (0.0) go three units left and 4 units up. That is where the lines cross.
Help quick! It's FLVS!
Compare the square root of 26 and twenty eight sixths using >, <, or =.
twenty eight sixths is less than the square root of 26
the square root of 26 is less than twenty eight sixths
twenty eight sixths is greater than the square root of 26
the square root of 26 is equal to twenty eight sixths
Twenty eight sixths is less than the square root of 26 which is [tex]\sqrt[6]{28}[/tex] < [tex]\sqrt{26}[/tex]
What is the square root of a number?Square root of a number is a value, which on multiplication by itself, gives the original number. The square root is an inverse method of squaring a number. Hence, squares and square roots are related concepts.
checking for square root of:
[tex]\sqrt[6]{28}[/tex] = 1.74
[tex]\sqrt{26}[/tex] = 5.09
which means 1.74 < 5.09
Therefore [tex]\sqrt[6]{28}[/tex] < [tex]\sqrt{26}[/tex]
In conclusion twenty eight sixths is less than the square root of 26 ( [tex]\sqrt[6]{28}[/tex] < [tex]\sqrt{26}[/tex])
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n linear programming, what is another name for sensitivity analysis? part 2 a. regression analysis b. postoptimality analysis c. parametric analysis d. robustness analysis
Postoptimality analysis is another name for sensitivity analysis
What is sensitivity analysis?
According to a certain set of supposition, sensitivity analysis evaluates how various values of an independent variable affect a specific dependent variable. In other words, sensitivity studies look at how different types of uncertainty in a mathematical model affect the overall level of uncertainty in the model. This method is used within boundaries that are preset and depend on one or more input variables.
Both the corporate sector and the study of economics employ sensitivity analysis. It is often referred to as a what-if study and is frequently utilized by economists and financial experts.
Therefore, Postoptimality analysis is another name for sensitivity
analysis and thus option B is the correct answer
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help please! (i'll give brainliest! <3)
Suppose 30= a × 60.
What is 30/a?
Answer:
[tex]\huge\boxed{\sf 60}[/tex]
Step-by-step explanation:
Given equation:30 = a × 60
Divide both sides by 60
30/60 = a
0.5 = a
a = 0.5Now,
Value of 30/a:= 30/0.5
= 60[tex]\rule[225]{225}{2}[/tex]
I REALLY NEED HELP!!
Find a point on the line and the line's slope.
y = 3 + 3 ( x + 4 )
point on the line: (____,____)
slope: _____
The point on the line is (-4, 3) and the slope of the line is m=3
What is meant by slope?Divide the "vertical change" by the "horizontal change" between (any) two distinct points on the line to find the slope.
The slope's absolute value is used to calculate the steepness, incline, or grade of a line. A line's direction can be increasing, decreasing, horizontal, or vertical.
If a line runs up from left to right, it is growing. The slope is positive, implying that m>0.
If a line falls from left to right, it is diminishing. m<0 is the slope.
A horizontal line has a slope of zero. This is a function that never changes.
Given,
y=3+3(x+4)
y-3=3(x-(-4))
Here, the point on the line is (-4, 3)
And the slope of the line is m=3
Hence, the point on the line is (-4, 3) and the slope of the line is m=3
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Round to 3 SF
70.782 please urgent
Answer:
70.8
Step-by-step explanation:
70.782 round the bold 7 to 8 because the number that follows it is >=5
70.8
endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 hours and a standard deviation of 40 hours. what is the probability that an endure all battery selected at random will last more than 610 hours? a) 0.0228 b) 0.9970 c) 0.0030 d) 0.9965 e) 0.0035 f) none of the above.
The probability that an endure all battery selected at random will last more than 610 hours is 0.3%
What is the Z score?
A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. Standard deviations from the mean are used to measure Z-score. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.
Z score is used to determine by how many standard deviations the raw score is above or below the mean, The z score is given by:
[tex]z = \frac{x - \mu}{\sigma}[/tex]
where,
x = raw score
μ = mean
σ = standard deviation
Given that μ = 500, σ = 40, for x > 610:
z = (610 - 500) / 40
= 2.75
From the normal distribution table, P(z > 2.75) = 1 - P(z < 2.75) = 1 - 0.9970 = 0.0030 = 0.3%
Hence, the probability that an endure all battery selected at random will last more than 610 hours is 0.3%
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Aiko is enclosing a new rectangular flower garden with a rabbit garden fence. She has 40 feet of fencing.
A quadratic function in standard form that represents each area as a function of the width is; A = -x² + 20
How to solve quadratic word problems?We are told that she is enclosing a new garden and has 40 ft of fencing.
Now, let the two sides be labelled x and y.
We know that area of a rectangle is;
A = length * width
Thus;
A = xy
Now, since she has 40 ft of fencing, then it means that;
y = 0.5(40) - x
y = 20 - x
Thus, the area expressed in quadratic function formula is;
A = x(20 - x)
A = 20x - x²
A = -x² + 20
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Complete question is;
Write a quadratic function in standard form that represents each area as a function of the width.
Remember to defi ne your variables
consider a function z(x, y) and its partial derivative (∂z/∂y)x. if this partial derivative is equal to zero for all values of x, what does it indicate?
If the partial derivative is equal to zero for all values of x then it indicates that the function is constant.
What is a partial derivative?
In differential calculus, partial derivative is defined as the rate of change of multivariable functions concerning change in just one of its variables.
Consider the restriction of f to a line y=c,
then
[tex] \frac{∂f}{∂x}(x \: c) = fx(f \: c) = 0[/tex]
Pick 2 points a and b, then by mean value theorem there is x0, such that
[tex]fx(x \: c) = \frac{f(b \: c) - f(a \: c)}{b - a} = 0[/tex]
[tex]⟹f(b \: c) - f( \: a \: c) = 0⟹f(b \: c) = f(a \: c)⟹f(x \: c) = const.[/tex]
We can show the same way that f(c,y)=const.
Combining f(x,c)=const and f(c,y)=const to get f(x, y)=const.
Hence, If the partial derivative is equal to zero for all values of x then it indicates that the function is constant.
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two ferries simultaneously depart from opposite banks of a river and cross perpendicular to the banks. their speeds are constant, but not equal. the ferries meet 220 yards from the riverbank, and continue along their routes. on their return trips, the ferries meet 100 yards from the other bank. what is the width of the river?
The width of the river is 1700m
What is the time, distance & speed relation?
Speed is calculated by dividing the distance traveled by the amount of time it took to get there. Divide the distance by the speed to find the passing time. To get the distance, multiply the speed by time.
Let 'x' be the distance from THE far bank where 700 is the distance to the NEAR bank
boat one has travelled 700 (rate = 700/unit time) boat two has travelled x rate = x / unit time
boat one then travels x + 400 more and boat two travels 700 + (700+x -400) more when they meet
The time is the same:
rate x time = distance
distance/rate = time
equate the distances divided by the respective rates
(700 + x + 400)/700 = ( x + 700 + (700+x-400) )/x
1100x + x^2 = 1400x + 700000
x^2 - 300x - 700000 = 0
quadratic formula yields x = 1000
One boat travels 700 the other 1000 when they first meet.....width of the river = 700+ 1000 = 1700 m
Hence, the width of the river is 1700m
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5. A kite at point C is sighted by two observers at points A and B at angles of elevation 20° and 70°. The observers are 100 ft apart and are in the same vertical plane as the kite. How high is the kite?
Answer:
Step-by-step explanation:
x 3.2 is the answer maybe
what is 2(x-1) + 5 = x + 7
Answer:
x = 4
Step-by-step explanation:
Look what the attachment
x=4
Step-by-step explanation:
2x-2+5=x+7
2x+3=x+7
2x-x=7-3
x=4
Consider the following model for the populations of rabbits and wolves (where R is the population of rabbits and W is the population of wolves).
dR/dt=0.08R(1-0.00032R)-0.00109RW
dW/dt=-0.04W+0.0001RW
Find all the equilibrium solutions:
(a) In the absence of wolves, the population of rabbits approaches [?] .
(b) In the absence of rabbits, the population of wolves approaches [?].
(c) If both wolves and rabbits are present, their populations approach r=[?] and w=[?] .
Wolves absence would lead the rabbit population to become stable at 5,000.
Step 1. Concept
If there is a missing variable that should be in the system, set that particular variable to zero and make the necessary conclusion.
Step 2. Given,
dR/dt = 0.08R(1 - 0.00032R) - 0.001RW
dW/dt = −0.02W + 0.00002RW
Step 3. Calculation
The transformed equations of populations of rabbit and wolves will be
dR/dt = 0.08R(1 - 000.2R) - 0.001RW
dW/dt = −0.02W + 0.00002RW
Let's check the rabbit population in the absence of wolves(W) to 0
Thus,
Differential equation dR/dt
dR/dt = 0.08R(1 - 000.2R) - 0.001RW
Take W to equal to O
dR/dt = 0.08R(1 - 000.2R) - 0.001R(0)
dR/dt = 0.08R(1 - 000.2R)
When,
dR/dt = 0 we have R = 0 or R = 5,000
This,
R = 5,000 becomes the equilibrium point in the absence of wolves
Then,
0 < R < 5,000, dR/dt > 0
For R, let's estimate a value rise of the rabbit population to 5,000
Then,
R > 5,000, dR/dt < 0
Judging from the value if R, we infer a deduction in the rabbit population by 5,000
Thus,
We can conclude that wolves absence would lead the rabbit population to become stable at 5,000.
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farmer scott is one of the best farmers in town. during the middle of the corn-growing season, farmer scott had to travel out of town for two weeks, and he left his acres of corn plants alone with no chemicals or other protection. in terms of succession, which of these best describes what farmer scott returned to after the two weeks?
After Farmer Scott travelled for two weeks and left his acres of corn plants alone with no chemicals or other protection weeds began to grow and develop after farmer Scott returned to after the two weeks.
The farmer Scott will almost certainly come across the little weeds that had begun to sprout and flourish in his corn field while he was away this was as a result of not attending to the corn fields. The field was not safeguarded by pesticides or insecticides. The weeds would not have been eradicated for two weeks, resulting in greater growth. They will consume all of the nutrients, causing the corn plants to perish.
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a flying squirrel jumped from a tree 11 feet in the air at an initial velocity of 9 feet per second
The maximum height reached is 21.125ft
The squirrel was at its highest point when, v=0, which occurred 2.25 seconds after it jumped.
Squirrel reaches the ground in 5.5 seconds.
What is the relation between height and velocity?
We can find velocity if equation of height is given by differentiating the equation with respect to time.
According to the given question:
The squirrel can only have reached its maximum height when its velocity equals zero.
If h=-2t^2+9t-11
Then dh/dT=v=-4t+9
A) Therefore ,at the maximum height, the velocity ,v=0.
That is, 4t=9 , consequently, t=2.25s
Therefore, when t=2.25s
h=-2(2.25)^2 + 9(2.25)-11
The maximum height reached is then h=21.125ft
B) As explained above, the squirrel was at its highest point when, v=0, which occurred 2.25seconds after it jumped.
C) The squirrel reaches the ground when h=0...
0=-2t^2+9t+11
-2t^2-2t+11t+11=0
-2t(t+1)+11(t+1)=0
(-2t+11)(t+1)=0, since t>0 for this problem...
-2t+11=0
-2t=-11
t=5.5 seconds.
Therefore, squirrel reaches the ground in 5.5 seconds.
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endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 hours and a standard deviation of 40 hours. what is the probability that an endure all battery selected at random will last more than 550 hours? a) 0.1056 b) 0.1151 c) 0.8849 d) 0.8944 e) 0.1587 f) none of the above.
The probability that an Endure All battery selected at random will last more than 610 hours is 0.1056.
What is a normal distribution?
A data collection with a normal distribution is put up so that the majority of the values cluster in the middle of the range and the remaining values taper off symmetrically in either direction.
Here, we have
Normally distributed with a mean of 500 hours and a standard deviation of 40 hours.
We have to calculate the probability that an endure all battery selected at random will last more than 550 hours.
Given that μ = 500, σ = 40, for x > 550
z = 550-500/40
z = 1.25
From the normal distribution table, P(z > 1.25) = 1 - P(z < 1.25) = 1 - 0.8944 = 0.1056
Hence, The probability that an Endure All battery selected at random will last more than 610 hours is 0.1056.
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All of the following are steps in derivative classification EXCEPT:
Seek additional guidance to resolve uncertainty
Analyze material to be classified
Use authorized sources for guidance
Make recommendations for others to mark the new document
Option d). Making the initial determination for all the information requires protection among the unauthorized disclosure where the interest of security is not a derivative classification.
Derivative Classification is the incorporating, paraphrasing, restating, or producing in new shape data this is already categorized, and staining the newly evolved fabric constant with the class markings that practice to the supply data. Copying or duplicating present categorized data, which includes photocopying a document, isn't by-product class.
Derivative classifiers are accountable for preserving the safety and integrity of categorized data. These people should own information concerning the difficulty count number of the categorized data, in addition to class control and staining techniques. Typically, there are 4 classifications for data: public, internal-only, confidential, and restricted. Let's study examples for every of those.
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Correct Question:
All of the following are steps in derivative classification EXCEPT:
a). Seek additional guidance to resolve uncertainty
b). Analyze material to be classified
c). Use authorized sources for guidance
d). Make recommendations for others to mark the new document
What is enough information to prove u || v ?
Answer:not a lot
Step-by-step explanation:
An online music streaming service has a yearly membership fee of $50.88. There is an initial registration fee of $3.00 and the rest is paid monthly. To figure out how much each new member pays each month, solve for m in the equation shown, where m represents the monthly fee.
Answer:
m = 3.99
Step-by-step explanation:
50.88 = 3 + 12 * m
50.88 - 3 = 12 * m
m = 47.88 / 12 = 3.99
An adult ticket for a magic show costs $18. A children's ticket for the magic show costs $12.
The number of adult tickets sold is 3 times the number of children's tickets sold. A total of $1980 is taken in for ticket sales.
How many of each type of ticket is sold?
answers
50 adult tickets and 150 children's tickets
30 adult tickets and 90 children's tickets
150 adult tickets and 50 children's tickets
90 adult tickets and 30 children's tickets
The number of each type of ticket is sold is D. 90 adult tickets and 30 children's tickets
What will the number of tickets be?From the information given, an adult ticket for a magic show costs $18. A children's ticket for the magic show costs $12.
The number of adult tickets sold is 3 times the number of children's tickets sold. A total of $1980 is taken in for ticket sales.
Let the number of children tickets = x
Number of adults ticket = 3x
Therefore, this will be illustrated as:
18(3x) + 12(x) = 1980
54x + 12x = 1980
66x = 1980
Divide
x = 1980 / 66
x = 30.
Children ticket = 30
Adult tickets = 30 × 3 = 90
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Describe the end behavior of the function.
The end behavior of the function is described by the following option:
f(x) -> 0 when x -> -∞ and f(x) -> -∞ when x -> ∞.
How to obtain the end behavior of a function?The end behavior of a function is given by the limits of the function as x goes to infinity.
On the graph, these limits are found looking at the behavior at the left end and at the right end of the graph, as follows:
Left end: x -> -∞.Right end: x -> ∞.From the graph, these limits are given as follows:
Left end: x -> -∞ -> 0, as the function tends to the origin.Right end: x -> ∞ -> negative infinity, as the function moves down.Hence the correct statement is given by the third option, as the other options give the wrong limits.
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Some instructions for the time it take to roast a turkey are: "allow 20 minutes for every 450 g". How long will it to take to roast a turkey that weights 6.3 kg
Answer:
Step-by-step explanation:
6.3kg = 6300 g
450 * 14 = 6300
20 minutes for 450 g
so, 20 *14 = 280 minutes
Answer:
280 minutes
Step-by-step explanation:
To roast a turkey that weighs 6.3 kg, it will take 20 minutes for every 450 g of turkey, or a total of 20 minutes * (6.3 kg / 0.45 kg/450 g) = 280 minutes.
Compare 0.3 and 0.8 using >,=, or <. Draw a model or number line to support your solution
0.8 is greater than 0.3 an image is attached to show the plotting on the number line.
What is a number line?A number line is a one-dimensional horizontal line where we can represent any real number. The origin of the number line is represented by zero left to it are all negative real numbers and right to it are all positive real numbers.
Given, are two decimals 0.3 and 0.8.
We know 0.3 lies between 0 and 0.5 and 0.8 lies between 0.5 and 1.
∴ 0.8 > 0.3.
The plotting of the numbers is attached in the image.
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PLEASE HELP ASAPPP !!! WILL GIVE BRAINLIEST AND 5.0 STAR RATING
Answer: $13,000
Step-by-step explanation:
express each statement in logic using the variables: p: it is windy. q: it is cold. r: it is raining. (a) it is windy and cold. (b) it is windy but not cold. (c) it is not true that it is windy or cold. (d) it is raining and it is windy or cold. (e) it is raining and windy or it is cold. (f) it is raining and windy but it is not cold.
The given statements can be expressed as
a) [tex]$p \land q$[/tex].
b) [tex]$p \land\neg q$[/tex]
c) [tex]$\neg(p \lor q)$[/tex]
d) [tex]$p \land (q \lor r)$[/tex]
e) [tex]$r \land (p \lor q)$[/tex]
f) [tex]$r \land (p \land \neg q)$[/tex]
What is a logical expression?
A statement that can be true or false is referred to as a logical expression Depending on the values of p and q, it can be true or false. This is distinct from a mathematical expression, which represents a true statement.
The given statements are
p: it is windy.
q: it is cold.
r: it is raining.
Now
a) it is windy and cold
This statement can be expressed as - [tex]$p \land q$[/tex].
(b) it is windy but not cold.
This statement can be expressed as - [tex]$p \land\neg q$[/tex]
(c) it is not true that it is windy or cold. - [tex]$\neg(p \lor q)$[/tex]
(d) it is raining and it is windy or cold. - [tex]$p \land (q \lor r)$[/tex]
(e) it is raining and windy or it is cold. [tex]$r \land (p \lor q)$[/tex]
(f) it is raining and windy but it is not cold. [tex]$r \land (p \land \neg q)$[/tex]
Hence, the given statements can be expressed as
a) [tex]$p \land q$[/tex].
b) [tex]$p \land\neg q$[/tex]
c) [tex]$\neg(p \lor q)$[/tex]
d) [tex]$p \land (q \lor r)$[/tex]
e) [tex]$r \land (p \lor q)$[/tex]
f) [tex]$r \land (p \land \neg q)$[/tex]
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If me and my brother pay for grocerie and the total wa 443 and I pay 243 and he pay 200 but we get paid back 75 each how much hould I get paid
The total money I have to pay will be 168.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
If I and my brother pay for groceries and the total was 443.
If i pay 243 and get paid back 75
So the total I paid will be (243 - 75) = 168
Hence, the total money I have to pay will be 168.
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The school cafeteria manager surveys students to determine
which type of juice they prefer at breakfast. The manager
uses the computer to randomly select 250 students to
survey. What type of sampling is the manager using?
The type of sampling method that the manager used is called; Simple random sampling
What is the method of sampling that is used?There are different methods of sampling used in statistics and they are;
1. Simple random sampling
2. Systematic sampling
3. Stratified sampling
4. Cluster sampling
5. Convenience sampling.
Now, we are told that the manager uses the computer to randomly select 250 students to survey. This type of sampling method is known as simple random sampling because every single student of that school is chosen randomly, merely by chance. Each student has the same probability of being chosen to be a part of a sample.
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Can someone realy nice help me? I am going to give ya 20 pionts and BRAINLEST!! TYSM
the liner Regresstion is y=0.176x+0.500 (I got this one myself LOL)
the table is
|Y | 2002 | 2003 | 2004 | 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 |
|---------------------------------------------------------------------------------------------------------|
|X | 0.70 | 1.04 | 1.15 | 1.38 | 1.86 | 1.70 | 2.55 | 1.29 | 2.22 | 2.56 |
so there are 2 parts (it is not a lot but worth your time) LOL.
part 1# List the domain of the linear regression equation in interval notation. Round to the nearest thousandth if needed.
part 2# List the range of the linear regression equation in interval notation. Round to the nearest thousandth if needed
agian thank you
here are some screen shots hope it helps
the academic planner of a university has stated that at least 35% of the entire student body attends summer school. the correct set of hypotheses for you to test this statement is
At least 35% of all registered students, according to a university's academic planner, take summer courses. H0:p.35 Ha:p.35 is the appropriate set of hypotheses to test his theory with.
What are the hypotheses?A hypothesis is a put-forth explanation for a phenomenon (plural: hypotheses).
A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis.
Scientific hypotheses are typically based on prior observations that cannot be adequately explained by the current body of knowledge.
For example, a university's academic planner estimates that at least 35% of all enrolled students attend summer classes. The proper set of hypotheses to use in order to test his theory is H0:p.35 Ha:p.35.
Despite the frequent confusion between the terms "hypothesis" and "theory," a scientific hypothesis differs from a scientific theory.
A working hypothesis is an accepted theory that has been tentatively supported and is put up for further investigation.
Therefore, at least 35% of all registered students, according to a university's academic planner, take summer courses. H0:p.35 Ha:p.35 is the appropriate set of hypotheses to test his theory with.
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