The percentage of total hours was spent skiing is 10%
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Here, total number of hours =5+20+10+5+10 =50
Number of spent on skiing is 5
Now, percentage is 5/50 ×100
=10%
Therefore, percentage of hours spent on skiing is 10%
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"Your question is incomplete, probably the complete question/missing part is:"
What percentage of total hours were spent skiing?
Soccer 5
Jogging 20
walking 10
skiing 5
football 10
a variable is normally distributed with mean 21 and standard deviation 7. use your graphing calculator to find each of the following areas. write your answers in decimal form. round to the nearest thousandth as needed. a) find the area to the left of 24. b) find the area to the left of 17. c) find the area to the right of 19. d) find the area to the right of 25. e) find the area between 17 and 30.
(a) Area to the left of 24 is 0.6683.
(b) Area to the left of 17 is 0.284.
(c) Area to the right of 19 is 0.5028.
(d) Area to the right of 25 is 0.1019.
(e) Area between 17 and 30 is 0.0884.
We have given that a variable is normally distributed with mean 21 and standard deviation 7.
(a) We have to find area to the left of 24.
We will use z-formula
i.e Z = (X - μ) / σ
where X is the row score, μ is mean and σ is standard deviation.
Substituting the values we get,
Z = (24 - 21)/ 7
= 3/7
Z = 0.4285
The p-value for 0.4285 is 0.6683.
Therefore area to the left of 24 is 0.6683.
(b) Now to find area to the left of 17,
Z =(17 - 21)/7
= - 4/7
Z = -0.5714
The p-value for -0.5714 is 0.284.
The area to the left of 17 is 0.284
(c) To find the area of the the right of 19,
Z = (19 - 21)/ 7
= -2/7
Z = -0.007
P-value for -0.007 is 0.4972
Area of the right of 19 is , 1 - 0.4972 = 0.5028
(d) The area of the right of 25 is,
Z = (25 - 24)/7
= 1/7
Z = 0.1428
The p-value for 0.128 is 0.8981.
Area right of 25 is 1 - 0.8981 = 0.1019.
(e) To find area between 17 and 30 first we will find area of 17 and 30 individually.
We know area of 17 is 0.284.
Now area of 30,
Z = (30 - 24)/7
= 6/7
Z = 0.8571.
P-value for 0.8571 is 0.1956.
Area between 17 and 30 is,
0.284-0.1956 = 0.0884.
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Ava thinks of a number, v.
She squares her number and multiplies her result by 3.
Next, she divides this number by 4 and finally adds 9 to get an answer of
57,
Write an equation to describe this.
Answer:
Step-by-step explanation:i think she multiplyed 9x4 and got36. The next thing she did is added 3 i don’t know the rest for this
Given: side AD congruent side DC and Angle ADB congruent angle CDB. Prove triangle ADE congruent triangle CDE!
ΔADE is congruent to ΔCDE if AD≅DC and ∠ADB≅CDB.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Given that AD≅DC and ∠ADB≅CDB.
We need to prove that ΔADE≅ΔCDE
AB≅BC congruent sides.
AD≅DC congruent sides.
ΔABC≅ΔADC are similar triangles.
ΔABD≅ΔCBD are similar triangles.
ΔADE≅ΔCDE are congruent triangles and similar.
Hence, if triangles ∠ADB≅CDB and AD≅DC then ΔADE≅ΔCDE.
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Write two expressions that are equivalent to -5/4x-3/4
Answer:
-10/8x-6/8
Step-by-step explanation:
Answer: -1.25x-0.75 or 1/4*(-5x-3)
Step-by-step explanation:
The first answer is converting the original expression into decimals (0.75 = 1/4). The second answer is factoring 1/4 out of the original expression (dividing each term by 1/4).
Find two different sets of parametric equations for the rectangular equation. (Enter your answer in a list as [x = f(t), y = f(t)], [x = f(t), y = f(t)].) y = 6x - 1
The parametric equations of y = 6x -1 are [x = t, y = 6t - 1].
What are parametric equations?Parametric equations divide an equation into two or more equations, depending upon the variables in the original equation, both dependent and independent.
What does the variable t mean?In parametric equations we mostly use t as an independent variable and write all equations in terms of t.
To convert a rectangular equation in its parametric representation, the easiest way to do is to equate x with the variable t in the original equation. Now, our x is equal to t. Hence, the final answer is [x = t, y = 6t - 1].
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Calculate the initial value for -12x - 10y = -50
The initial value for the equation, -12x - 10y = -50, is: 5.
How to Determine the Initial Value of a Linear Equation?The initial value of a linear equation is also known as the y-intercept of the equation. Th equation in slope-intercept form can be expressed as y = mx + b, where the initial value of the equation is represented as the value of b, while m is the slope.
Given the linear equation, -12x - 10y = -50, in standard form, to find the initial value, b, we have to rewrite the equation in slope-intercept form:
-12x - 10y = -50
Add 12x to both sides of the equations:
-10y = 12x - 50 [addition property of equality]
Divide both sides by -10
-10y/-10 = 12x/-10 - 50/-10 [division property of equality]
y = -6/5x + 5
Thus, the initial value of the y-intercept of the equation is: 5.
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2. the shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days. about what percent of the products last between 9 and 15 days? about what percent of the products last between 12 and 15 days? about what percent of the products last 6 days or less? about what percent of the products last 15 or more days? 3. a line up for tickets to a local concert had an average (mean) waiting time of 20 minutes with a standard deviation of 4 minutes. what percentage of the people in line waited for more than 28 minutes? if 2000 ticket buyers were in line, how many of them would expect to wait for less than 16 minutes?
1) The percentage of the products last between 9 and 15 days is 68.26%.
2)The percent of the products last between 12 and 15 days is 34.13%.
3) The percentage of the people in line waited for more than 28 minutes 2.28%.
4) The percentage of the people wait for less than 16 minutes 15.87%
What is percent example?Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. As an illustration, 1% of 1,000 chickens is equal to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200.
What is the number whose 20% is 150?
20% of 150 is 30.
1) µ = 12
sd = 3
a) P(9<X<15)=P
(\frac{9-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{15-\mu}{\sigma})
9-12\sP(\s15\s12
= P(-1 < Z < 1)
= P(Z < 1) - P(Z < -1)
= 0.8413 - 0.1587
= 0.6826
= 68.26%
b) P(12<X<15)=P
(\frac{12-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{15-\mu}{\sigma})
12 - 12\sP(\s15\s12
= P(0 < Z < 1)
= P(Z < 1) - P(Z < 0)
= 0.8413 - 0.5
= 0.3413
= 34.13%
c) P(X6) = P(frac X-mu sigma frac 6 mu sigma)
=P(Z<\frac{6-12}{3})
= P(Z < -2)
= 0.0228
= 2.28%
d) P(X>15)=P(frac X–mu–sigma>frac X–mu–sigma)
=P(Z>\frac{15-12}{3})
= P(Z > 1)
= 1 - P(Z < 1)
= 1 - 0.8413
= 0.1587
= 15.87%
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4. Car dealer Lisa Kovach paid 82% of a car's options totaling $3,098. She paid 85% on a base price of $15,480.
The destination charge was $890. What is the dealer's cost?
a. $13,158.00
b. $16,588.36
c. $18,020.36
d. $19.001.20
Part (c) is the correct option i.e. The total dealer's cost is $16588.36.
What is Percentage ?
Percentage, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolised as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
Given, Cost paid for car's options = 82 % $3,098 = $2540.36
Cost paid for base price = 85 % $15,480 = $13158.
Destination charge = $890
∴ The total dealer's cost will be :
= Cost paid for car's options + Cost paid for base price + Destination charge
= $2540.36 + $13158 + $890
= $16588.36.
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2. Using the equation y = 3x - 5, what would the output be for an input of 4?
a. 3
b. -3
c. -5
d. 7
Triangle PQR is similar to triangle STU. Find the measure of side ST. Figures are not
drawn to scale.
Answer:
ST = 2.6
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{ST}{PQ}[/tex] = [tex]\frac{SU}{PR}[/tex] ( substitute values )
[tex]\frac{ST}{18}[/tex] = [tex]\frac{5.2}{36}[/tex] ( cross- multiply )
36 × ST = 18 × 5.2 = 93.6 ( divide both sides by 36 )
ST = 2.6
Find the domain and range.
The domain of the given function is (-∞, ∞), the rage of the function is (-∞, 1).
What is a function?
A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
The lowest to highest value of x-coordinate is the domain of the function.
The lowest to highest value of y-coordinate is the range of the function.
The highest point of the function is (2.5, 1).
The highest value of y-coordinate is 1.
Since the graph function can be expended to infinity, the lowest value of y-coordinate is -∞.
The range of the function is (-∞, 1).
Both ends of graph can be extended -∞ to ∞ for x-coordinate.
The domain of the function is (-∞, ∞).
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help!! please and thanks!
Answer: Congruent
Step-by-step explanation:
an2-25art 2 10) Which fraction represents 72-7-20 eXP expressed in simplest form? 2) X-5 X-4 3) x+5 4+4 4) 25 X + 20
The given fraction (x^2-25)/(x^2-x-20) expressed in simplest form is (x+5)/(x+4). (Option C)
A fraction is in simplest form if the numerator and denominator have no common factors other than 1. In order to solve the given fraction, the numerator and denominator must be factorized, and the common factor will be canceled out.
Factoring x^2 – 25 using the difference of squares formula that states that a^2 – b^2 = (a + b)(a - b)
x^2 – 25 = x^2 – 5^2 = (x + 5)(x – 5)
Factoring x^2 – x – 20,
x^2 – x – 20 = x^2 + 4x – 5x – 20 = x(x + 4) -5(x + 4) = (x + 4)(x – 5)
Hence, factor (x – 5) is there in both numerator and denominator, it is canceled out. Hence the fraction in the simplest form is:
(x + 5)(x – 5)/ (x + 4)(x – 5) = (x + 5)/(x + 4)
Note: The question is incomplete. The complete question probably is: What fraction represents(x^2-25)/(x^2-x-20) expressed in simplest form. A) 5/4 B) (x-5)/(x-4) C) (x+5)/(x+4) D)25/(x+20)
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Find the value of x in the triangle shown below.
8
3
Answer:
The answer should be 8.
Step-by-step explanation:
What is x/5 (fraction) = 40 looking for help
Answer: 200
Step-by-step explanation: first we will turn this into an equation
x/5=40, then we need to isolate the variable by multiplying both sides by 5.
x = 200
a straight line passes through points (2,15) and (6,39) what is the y intercept?
Considering the expression of a line, the y intercept has a value of 3.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using the following expression:
m= (y₂ - y₁)÷(x₂ - x₁)
Substituting the value of the slope m and the value of one of the points in the expression of a linear equation, the value of the ordinate to the origin b can be obtained.
y intercept in this caseBeing (x₁, y₁)=(2,15) and (x₂, y₂)=(6,39), the slope m can be calculated as:
m= (39 - 15)÷(6 - 2)
m= 24÷ 4
m= 6
Considering point 1 and the slope m, you obtain:
15= 6×2 + b
15= 12 +b
15 - 12= b
3=b
Finally, the value of the y intercept is 3.
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given: \overline{ac} \perp \overline{bd} ac ⊥ bd and \angle a \cong \angle c.∠a≅∠c. prove: \triangle abd \cong \triangle cbd△abd≅△cbd.
It has been proved that △ABC is congruent to △CBD (△ABC ≅ △CBD) under the SAS condition.
What is the congruency of the triangle?In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Two triangles are said to be congruent if all the sides of a triangle are equal to all the corresponding sides of another triangle.
So, we have:
AC⊥BD and BD bisect AC
We have to prove:
△ABC ≅ △CBD
∠ADB = ∠CDB (Given: AC⊥BD)
BD = BD (Common side)
AD = CD (BD bisect AC)
So, △ABC ≅ △CBD under SAS condition.
Therefore, it has been proved that △ABC is congruent to △CBD (△ABC ≅ △CBD) under the SAS condition.
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Complete question:
Given: \overline{AC} \perp \overline{BD} AC ⊥ BD and \overline{BD} BD bisects \overline{AC}. AC. Prove \triangle ABD \cong \triangle CBD△ABD≅△CBD.
Marcus monthly salary is $1,500 plus 10% of sales. How much could Marcus earn per month with salary and 9% sales? Please explain your answer.
pls
If Marcus monthly salary is $1,500 plus 10% of sale, then he could earn 1500 + 0.09x per month with salary and 9% sales
Monthly salary of Marcus = $1500
The percentage incentives for sales = 10%
If the percentage of incentive for sales is 9 %
Consider the amount of sales is $x
Therefore the monthly salary of Marcus = Monthly salary of Marcus + (The amount of sales × 9/100)
Substitute the values in the equation
The monthly salary of Marcus = 1500 + (x×9/100)
Divide the numbers in the equation
= 1500 + (x × 0.09)
Multiply the numbers the numbers
= 1500 + 0.09x
Therefore, the monthly salary of Marcus will be 1500 + 0.09x
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A tile is in the shape of a rectangle.
It is 14 centimeters long and 3 centimeters wide.
What is its perimeter?
Answer: The perimeter is 34 cm
Step-by-step explanation:
14cm + 14cm = 28cm
3cm + 3cm = 6cm
28cm + 6cm = 34 cm
Answer:
34
Step-by-step explanation:
Perimeter is equal to :
Length + length + width + width
So theres two ways we can do this:
2(14) + 2(3)
OR
14 + 14 + 3 + 3
either way, solving will give us an answer of 34
how many different ways are there for 10 women and 6 men to stand in a line so that no two men stand next to each other? hint: first position the women and then consider possible positions for the men.
As per the combination method, the number of ways for 10 women and 6 men to stand in the line is 1,207,084,032,000
Combination method:
In statistics, combination method refers the method of selection of r items from a set of n items where the order of selection does not matter
Given,
Here we need to find how many different ways are there for 10 women and 6 men to stand in a line so that no two men stand next to each other.
Here we know that, first consider the positions of the women, then the positions of the men
Then the possible ways are there to arrange ten women in a row is
=> 10!=3628800.
For the given condition is no two men stand next to each other.
Therefore, we need to find how many ways we can arrange 6 men in the 11 possible places
=> 11P6 = 11×10×9×8×7×6 = 332640.
Therefore, the resulting number is
=> 3628800 × 332640 = 1,207,084,032,000
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Find the value of x so that the ratios are equivalent.
x: 5/2 and 8:10
The value of x in the given ratio is 2.
What is ratio?The relationship in quantity, amount, or size between two or more things.
Given is a ratio, x:5/2 = 8:10
x/5/2= 8/10
2x/5 = 8/10
2x = 40/10
2x = 4
x = 2
Hence, The value of x in the given ratio is 2.
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Question
.Jeff and Lauryn are long-distance runners.
Jeff's race time, based on his average pace, is represented by the equation y=9x, where x is the number of miles and y is the number of minutes.
Lauryn's average pace is represented in this graph.
If Jeff and Lauryn run a 10k (a 6.2-mile race), who will win? Why?
Select two answers: one for the winner of the race and one for the reason they won.
Responses
Lauryn's pace is 9 minutes per mile, so Jeff is slower at 10 minutes per mile.
Lauryn's pace is 9 minutes per mile, so Jeff is slower at 10 minutes per mile.
Lauryn wins.
Lauryn wins.
Lauryn's pace is 10 miles per minute, so Jeff is slower at 9 miles per minute.
Lauryn's pace is 10 miles per minute, so Jeff is slower at 9 miles per minute.
Lauryn's pace is 10 minutes per mile, so Jeff is faste
Lauryn's race time equation is y = 10x. Thus, Lauryn's pace is 10 minutes per mile, so Jeff is faster. Jeff will win.
How to determine who will win the race between Jeff and Lauryn?Given that:
Jeff's race time is represented by the equation y=9x
You will find Lauryn's race time equation in the graph:
The equation of the line is of the form y = mx
where m is the slope
m = 20-0 / 2-0 = 20/2 = 10
Thus, Lauryn's race time equation is y = 10x
For a 10k, the race time for Jeff will be:
y = 9x
y = 9×10 = 90 minutes
For a 10k, the race time for Lauryn will be:
y = 10x
y = 10×10 = 100 minutes
Therefore, Lauryn's pace is 10 minutes per mile, so Jeff is faster. Jeff wins.
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4. Rudo buys a computer for $920. If this is 115% of what the store paid for
the same computer, how much did the store earn on the sale? Lesson 3-3
5. For each situation, select the percent to answer the question.
The amount that store earns is $120. By writing the equation for the given payment of the computer by Rudo, we get the required value.
How much did the store earn on the sale of a computer?It is given that, Rudo buys a computer for $920. This is 115% of what the store paid for the same computer.
So, consider the amount paid by the store for the same computer as 'x'.
Then, from the given information we can write that,
$920 = 115% of x
⇒ 920 = 0.15x
⇒ x = 920/0.15 = 800
So, the amount paid by the store for the same computer is $800
Thus, the amount earned by the store on the sale is $920 - $800 = $120.
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consider the following 3 statements about parametric equations: a. parametric equations are useful because they often describe curves in a more natural way than cartesian coordinates. b. the same curve can have several different parametric representation, thus parametric representation is not unique. c. parametric equations often describe curves that are not functions. a. only a is true. b. a and c are true. c. a and b are true. d. all three are true.
All three statement parametric equation are true so option D. all three are true is the correct option of the given statement.
What is the formula for a parametric equation?In parametric form, the x and y coordinates are defined as functions of t, which represent angles in this form: x = r cos t and y = r sin t, and so map the whole circle. These parametric equations are known as polar equations.
What are some instances when parametric equations are used?The position of a point on a Ferris wheel, for instance, can be represented graphically using parametric equations. The parametric equations can be used to model every aspect, including height above the ground, spin direction, and speed.
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When a number is increased by 6, the answer is 13. Translate into linear equation but do not solve.
Answer:
n + 6 = 13
Step-by-step explanation:
let n be the number, then increasing by 6 means adding 6 to it , so
n + 6 = 13 ← linear equation
the graph below shows the solution to which system of inequalities?
Answer: The correct answer is C
Step-by-step explanation: Let's find each equation without any inequalities first. We have a dotted line at y = 1, so we can already remove A and B. Now, a dotted line represents exclusivity and hence; it should not include the = sign.
what is the equation of the function shown in the graph, given that the equation of the parent function is f(x)=(17)x?
The equation is shown in the graph as (C) g(x) = (1/7)^x - 4.
What are equations?A relationship between two terms on either side of an equal sign is described by a straightforward equation.
Additionally, addition, basic arithmetic, multiplication, and division are one or more of the four arithmetic calculations that simple equations undertake.
The system of equations can be expressed in three different ways: in point-slope form, standard form, and slope-intercept form.
So, the parent function is therefore known to be:
f(x) = (1/7)^x
Observe that the y-intercept results from evaluating this in zero:
f(0) = (1/7)^0 = 1
The graph's y-intercept is located at y = -3.
As a result, the function was translated downward by 4 units, bringing it to a point 4 units below the y-intercept of the parent function.
Thus, the graphed function is as follows:
g(x) = f(x) - 4
g(x) = (1/7)^x - 4
Therefore, the equation is shown in the graph as (C) g(x) = (1/7)^x - 4.
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Complete question:
What is the equation of the function shown in the graph, given that the equation of the parent function is f(x)=(1/7)^x ?
A. g(x)=(1/7)^x−3
B. g(x)=(1/7)^x−2
C. g(x)=(1/7)^x−4
D. g(x)=(1/7)^x+3
Assuming the cost of an associate leaving within 90 day is $3,000 what will be your facility's approximate cost of early turnover for this year?
The facility's approximate cost of early turnover for this year is $45000.
The cost of turnover is the cost associated with turning over one position. This calculation includes the cost of hiring for that position, training the new employee, any severance or bonus packages, and managing the role when it is not filled. Every company will experience some turnover.
Turnover cost refers to expense both tangible or intangible associated with replacing an employee. It is extremely high: it's estimated that losing an employee can cost a company 1.5-2 times the employee's salary.
Shift A has number of associated leaving the facility within 90 days is 8, per associated cost is $3000 and total cost is $24000.
Shift B has number of associated leaving the facility within 90 days is 5, per associated cost is $3000 and total cost is $15000.
Shift C has number of associated leaving the facility within 90 days is 2, per associated cost is $3000 and total cost is $6000.
Shift D has number of associated leaving the facility within 90 days is 0, per associated cost is $3000 and total cost is $30.
Therefore
Total cost = $24000 + $3000 + $6000
Total cost = $45000
Hence the facility's approximate cost of early turnover for this year is $45000.
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More multiple choice math
Answer:
The System of inequalities shown is C.
a) a research article described a simple random sample of 584 smokers who tried to quit smoking by using either a nicotine patch or e-cigarettes, fake cigarettes producing nicotine in water vapor form. after six months, 7.3% of those using e-cigarettes had stopped smoking, compared with 5.8% of those wearing the patch. to see if quitting result is significantly associated with the method used, which statistical inference procedure should we use? matched
To see if quitting result is significantly associated with the method used, which statistical inference procedure which should be used is the Chi-square test for two-way table.
A random sample of 584 smokers who attempted to quit smoking and were observed using the method they used to help themselves to achieve their goal was taken in order to determine whether there is a correlation between the percentage of people who successfully stop smoking and the method they used to do so (nicotine-patch or e-cigarettes). The percentage of subjects who successfully quit smoking after six months.
The t-test is not appropriate in this situation because the population mean is being tested by this statistic.
The percentage of participants who successfully quit smoking using either technique is the study's dependent variable.
The variable must be categorizable in order to do Chi-Square tests, and since the data can be arranged in a 2x2 table, all anticipated frequencies must be greater than 5.
The Goodness-to-Fit test seeks to determine if a population adheres to a particular theoretical model.
In this case, it's important to compare the percentage of smokers who were able to successfully stop using both methods and the percentage who were unsuccessful.
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