A reason not to use a chi-square test of homogeneity to analyze a set of data is if the assumptions of the test are not met. These assumptions include:
1. The data must be categorical, meaning it consists of counts or frequencies in different categories.
2. The sample size must be large enough, with an expected frequency of at least 5 in each cell of the contingency table.
3. The observations must be independent, meaning each data point should not influence the others.
If any of these assumptions are not met, it may not be appropriate to use a chi-square test of homogeneity to analyze the data. Instead, you may need to consider alternative statistical methods that better suit your data and research question.
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a positive integer divisor of 12! is chosen at random. the probability that the di- visor chosen is a perfect square can be expressed as m n , where m and n are relatively prime positive integers. what is m n?
The probability that a positive integer divisor of 12! is a perfect square can be expressed as 18/415. The sum of the numerator and denominator is 433.
We can start by finding the prime factorization of 12! which is
12! = 2¹⁰ × 3⁵ × 5² × 7 × 11
To find the number of divisors of 12!, we add 1 to each exponent and multiply them together:
Number of divisors = (10+1) × (5+1) × (2+1) × (1+1) × (1+1) = 3320
Now, we want to find the probability that a randomly chosen divisor of 12! is a perfect square.
A positive integer is a perfect square if and only if each of its prime factors has an even exponent.
Therefore, we need to count the number of divisors of 12! that have each prime factor with an even exponent.
For 2, there are 6 choices: 0, 2, 4, 6, 8, 10
For 3, there are 3 choices: 0, 2, 4
For 5, there are 2 choices: 0, 2
For 7, there are 2 choices: 0, 1
For 11, there are 2 choices: 0, 1
The total number of divisors of 12! that are perfect squares is the product of these choices
6 × 3 × 2 × 2 × 2 = 144
Therefore, the probability that a randomly chosen divisor of 12! is a perfect square is
P = 144/3320 = 18/415
The numerator and denominator have no common factors, so m=18 and n=415. Thus, m+n=433.
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Use the graph to answer the question.
Graph of polygon VWXYZ with vertices at negative 8 comma 2, negative 8 comma 0, negative 5 comma negative 7, negative 2 comma 0, negative 2 comma 2. A second polygon V prime W prime X prime Y prime Z prime with vertices at negative 8 comma negative 8, negative 8 comma negative 6, negative 5 comma 1, negative 2 comma negative 6, negative 2 comma negative 8.
Determine the line of reflection.
Reflection across y = −3
Reflection across the y-axis
Reflection across x = −5
Reflection across the x-axis
The line of reflection are across the y-axis.
Given data is,
Let the polygon be represented as VWXYZ
Now , the coordinates of the polygon is given as
The coordinate of V = ( -8 , 2 )
The coordinate of W = ( -8 , 0)
The coordinate of X = ( -5 , -7 )
The coordinate of Y = ( - 2 , 0 )
The coordinate of Z = ( - 2 , 2 )
Now , the translated polygon is having the coordinates as
The coordinate of V' = ( -8 , 8 )
The coordinate of W = ( -8 , 6)
The coordinate of X = ( -5 , 1 )
The coordinate of Y = ( - 2 , -6 )
The coordinate of Z = ( - 2 , -8 )
Clearly, x coordinate will be same but y coordinate will be change.
Hence, The line of reflection are across the y-axis.
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Answer: y = -3
Step-by-step explanation:
In a circle, chords AB and CD intersect at E. If AE = 21, EB = 5, and ED = 7, find CE.
Applying the intersecting chords theorem, the length of segment CE is calculated as: 15.
How to Apply the Intersecting Chords Theorem?Based on the intersecting chords theorem, we can create the following equation using the given information of the segments formed by the intersecting chords in the circle given:
AE * EB = CE * ED
Given the following:
AE = 21,
EB = 5,
ED = 7
CE = ?
Plug in the values:
21 * 5 = CE * 7
105 = CE * 7
105/7 = CE
CE = 15
The length of segment CE is: 15.
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iready ashley collects data on the number of students ride the bus before getting to school. what is the lower and uper quartile
The lower quartile is 13 (in minutes ) and the upper quartile is 27(in minutes) for the data collected by Ashley on number of minutes students ride the bus before getting to school.
Ashley has collected data on the number of minutes students ride the bus before getting to school as,
10, 11, 13, 18, 19, 21, 22, 25, 27, 30, 32
There are three types of quartile in data set as, first (or lower) quartile, second quartile (or median), and third (or upper) quartile.
The formula to calculate quartiles for ungrouped data are as follow,
Lower (or first) quartile = {(n +1)4} th term
where, n is the total number of observations in the data set, that is n = 11
Therefore, Lower (or first) quartile = {(11 +1)4} th term
= (3)rd term = 13
Therefore, Upper (or third ) quartile = {3(n +1)/4} th term
= { 3(11+ 1)/4} th term
= 9th term = 27
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The given question is incomplete, the complete question is
"Already Ashley collects data on the number of minutes students ride the bus before getting to school.
10, 11, 13, 18, 19, 21, 22, 25, 27, 30, 32
What is the lower and upper quartile."
A coin is flipped 200 times. The table shows the frequency of each event.
Outcome Frequency
Heads 96
Tails 104
Determine the experimental probability of landing on tails.
50%
52%
96%
104%
Answer:
52%
Step-by-step explanation:
Since the question asks about tails, we don't need the information about heads.
So out of 200 flips, 104 were tails. If we put 104 out of 200 in fraction form, you get;
104
-----
200
Now we just divide;
104/200 = 0.52, also known as 52%
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If the Brazoria County Fair had a weekend revenue of $12,000, how many dollars did the vendor fees being in?
An airplane flies 1062 km with the wind. In the same amount of time it can fly 738 km against the wind. The speed of the plane in still air is 200km/h. Find The speed of the wind
The speed of the wind is approximately 18.8 km/h.
Now, let's use the information we have to set up some equations. We know that the distance the airplane can fly with the wind is 1062 km, and that it covers this distance in the same amount of time as it takes to fly 738 km against the wind. We can use the formula:
distance = speed x time
to write equations for these situations. For example, when flying with the wind:
1062 = (200 + w) x time
And when flying against the wind:
738 = (200 - w) x time
Now, we can solve for the unknown variable, which in this case is the speed of the wind. Let's rearrange the first equation to solve for time:
time = 1062 / (200 + w)
And the second equation:
time = 738 / (200 - w)
Since the time for each trip is the same, we can set these two expressions equal to each other and solve for w:
1062 / (200 + w) = 738 / (200 - w)
To solve for w, we can cross-multiply and simplify:
1062(200 - w) = 738(200 + w)
212400 - 1062w = 147600 + 738w
3442w = 64799
w = 18.8
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Please help me. Thank you
Answer:
Step-by-step explanation:
This looks like a pyramid problem. The sum of the 2 numbers in the bottom boxes must equal the number in the top box. All you have to do to find the missing number is subtract the bottom number from the top number.
a. 200 - 30 = 170
b. 200 - 30 = 130
c. 200 - 105 = 95
d. 200 - 85 = 115
to print a typical midweek issue of a large metropolitan american newspaper for one day, it requires about how many hectares of white spruce trees to make the paper? multiple choice question. 20 50 5 100
b) 50 hectares of white spruce trees are required to make the paper.
This estimate is based on the assumption that a large metropolitan American newspaper prints about 500,000 copies on an average weekday and each newspaper requires roughly 0.1 square meters of paper. To produce 500,000 newspapers, we need about 50,000 square meters or 5 hectares of paper. However, it takes about 10 trees to produce one ton of newsprint paper, so 5 hectares of paper require approximately 500 tons of paper.
Thus, it would take about 50 hectares of white spruce trees to produce enough paper for a typical midweek issue of a large metropolitan American newspaper for one day. It's worth noting that this is just an estimate and the actual number could vary depending on the newspaper's circulation, page count, and paper size.
The answer is approximately 50 hectares of white spruce trees.
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A metallic cube of length 15 cm is melted to form smaller cubes of 5 cm. How many smaller cubes will be there?
There will be 27 smaller cubes of length 5 cm each.
How to get the cubesV = s^3, where s is the length of a side of the cube.
In this case, the length of the side of the original cube is 15 cm, so its volume is:
V = 15^3 = 3,375 cubic cm
When the cube is melted down and reformed into smaller cubes of 5 cm, the number of smaller cubes is equal to the total volume of the original cube divided by the volume of each smaller cube. The volume of each smaller cube is:
V = s^3 = 5^3 = 125 cubic cm
So, the number of smaller cubes is:
Number of smaller cubes = Total volume of original cube / Volume of each smaller cube
Number of smaller cubes = 3,375 / 125
Number of smaller cubes = 27
Therefore, there will be 27 smaller cubes of length 5 cm each.
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the function below gives a rockets height, h(t) in feet in terms of the time, t in seconds since it has been launched h(t)=-16t + 128t +80 how many seconds does it take the rocket to be 272 feet in the air
It takes the rocket 2 seconds to be 272 feet in the air
Seconds it takes the rocket to be 272 feet in the airFrom the question, we have the following height function that can be used in our computation:
h(t) = -16t^2 + 128t +80
At 272 feet, we have
h(t) = 272
Substitute the known values in the above equation, so, we have the following representation
-16t^2 + 128t +80 = 272
Evaluate the like terms
So, we have
-16t^2 + 128t - 192 = 0
Solving using a graph, we have the smaller value of t to be
t = 2
Hence, the time to be 272 feet in air is 2 seconds
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Which inequality is shown on the graph?
A:y>-3x+2
B:y>3x+2
C:y<3x+2
D:y<-3x+2
Answer:
y<-3x+2
Step-by-step explanation:
ok. it's shaded below, so y is gonna be less than. we can eliminate A and B.
looking at the y-intercept, it's 2. that doesn't narrow anything down so lets do rise/run or delta y over delta x
rise/run is -3/1
that gives us -3
putting it all together....
y<-3x+2
D is the correct answer.
i hope you understood. have a great day :)
If x = 3, solve for y.
y = 2.3x
First plug in the value of x into the equation.
y = 2.3[?]
Answer
Enter 3 in the green box
Further explanation
It tells us to plug in the value of x, which is 3
so we have
[tex]\sf{y=2*3^3}[/tex]
Then you do exponents
[tex]\sf{y=2*27}[/tex]
Then you multiply
[tex]\sf{y=54}[/tex]
Pablo quiere instalar un armario para guardar la tabla de planchar. Si dispone de un hueco en su cocina de 60cm de ancho, cuales seran las medidas minimas de fondo y de alto del armario nuevo?
la plancha tiene una base de 38cm y altura de 135cm
The minimum dimensions for the cabinet would be 60cm (width) x 50cm (depth) x 140cm (height).
What is coordinate geometry?
Coordinate geometry is a branch of mathematics that deals with the study of geometric shapes and figures using the coordinate system. It is also known as analytic geometry or Cartesian geometry.
To install an ironing board cabinet in a 60cm wide space, the minimum dimensions required for the depth and height of the cabinet would be:
Depth: The cabinet needs to be deep enough to accommodate the ironing board base, which is 38cm wide. Adding a few centimeters for clearance and ease of use, a depth of at least 50cm would be recommended.
Height: The cabinet needs to be tall enough to fit the entire height of the ironing board, which is 135cm. Adding a few centimeters for clearance and to ensure that the board fits comfortably inside the cabinet, a height of at least 140cm would be recommended.
Therefore, the minimum dimensions for the cabinet would be 60cm (width) x 50cm (depth) x 140cm (height).
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Jordan likes to go to his local hair salon because he is a premier member there. His membership fee costs $60.00 and that membership allows him to get his hair done for $26.00 every visit.
How much does it cost for 2,4,5 and 8 visits
Answer:
The cost of Jordan’s visits to the hair salon depends on the number of visits. The cost for 2 visits would be $60.00 (membership fee) + 2 * $26.00 (cost per visit) = $112.00. The cost for 4 visits would be $60.00 + 4 * $26.00 = $164.00. The cost for 5 visits would be $60.00 + 5 * $26.00 = $190.00. The cost for 8 visits would be $60.00 + 8 * $26.00 = $268.00.
Answer: 2 = 112 4 = 164 5 = 190 8 =268
Step-by-step explanation:
In order to solve this, the equation would be:
26x + 60
where x is the number of appointments, 26 is the amount each appointment costs, and 60 is the original price of the membership.
So...
2 visits would be $112
4 visits would be $164
5 visits would be $190
8 visits would be $268
Hope this is helpful
Las dos ruedas traseras de un tractor tienen un perímetro 90 cm mayor que las delanteras. En un camino de 230 metros, las ruedas traseras giran 36 veces menos que las ruedas delanteras. ¿Cuál es el perímetro de las ruedas?
When comparing three or more populations means within a set of quantitative data that is categorized according to one factor/treatment, a one-way ANOVA is appropriate.a. It is also appropriate in this situation, however, to compare two means at a time using multiple independent two sample t-tests. b. It is appropriate to compare two means at a time with independent two sample t-tests but it might be time-consuming.c. It is not appropriate to compare two means at a time in the way described. This would inflate the overall Type I Error and is a 'Multiple Testing' problem. The one-way ANOVA controls for the Type I Error and should be used instead.
According one-way ANOVA, the test is false.
We learn about one-way ANOVA
"One-Way ANOVA, also known as "analysis of variance," examines the refers to two or more independent groups to see if there is statistical support for the notion that the related population means are statistically substantially different."
According to the given information, it is inappropriate to compare two means at a time using multiple independent two sample t-tests. It will create multiple testing problem and error.
So using one way ANOVA test when comparing three or more populations refers to within a set of quantitative data that is categorized according to one factor/treatment and compare two means at a time using multiple independent two sample t-tests is false.
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Because of the pandemic, consumers stop going to gyms and cancel their memberships in record numbers. Consequently, the price of gym memberships fall. (highlight one)Movement along a fixed supply curve. Shift in the supply curve
Answer:answer 2
Step-by-step explanation:
2
Simplify Square root of 726
PLS hELPPPPPPPPP
Answer:
The prime factorization of 726 is 2 × 3 × 121 or 2 × 3 × 11². Simplifying the square root of 726, we can take the square root of each factor and simplify as follows:
√726 = √(2 × 3 × 11²) = √2 × √3 × 11 = 11√6
Therefore, the simplified form of the square root of 726 is 11√6.
Step-by-step explanation:
Answer: The square root is 26.9443871706 but simplied is 11/6
Step-by-step explanation:
you would write the number on the paper and then
A parabola crosses the x axis at -1 and 7
Answer:7y
Step-by-step explanation:
A cylinder and a cone have the same volume. The cylinder has radius x
and height y
. The cone has radius 12x
. Find the height of the cone in terms of y
.
A cylinder and cone having the same volume. The cylinder having radius x and height y. The cone has radius 12x. Then, the height of the cone in terms of y is 48h.
The volume of the cylinder will be given by the formula V_cylinder = [tex]πr^{2h}[/tex], where r is radius and h is height. The volume of a cone is given by the formula V_cone = (1/3)[tex]πr^{2h}[/tex], where r is the radius and h is the height.
Since the cylinder and cone have the same volume, we can set their volume formulas equal to each other and solve for the height of the cone;
[tex]πX^{2y}[/tex] = (1/3)[tex]π(12X)^{2h}[/tex]
Simplifying, we get;
[tex]πX^{2y}[/tex] = [tex]π144X^{2h/3}[/tex]
Dividing both sides by [tex]πX^{2}[/tex], we get;
y = 144h/3
Simplifying further, we get;
y = 48h
Therefore, the height of the cone in terms of y is h = (1/48)y.
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the monthly incomes of 200 trainees at a local mill are normally distributed with a mean of $3650 and a standard deviation of $320. approximately, how many trainees earn less than $3970 a month?group of answer choices
For a monthly incomes of trainees at a local mill are normally distributed, the number of trainees earn less than $3970 a month is equals to 168.
The monthly incomes at a local mill are normally distributed. Sample size,n = 200
Mean of Monthly income, = $3650
Standard deviations of income, = $320
We have to determine value of trainees earn less than $3970 a month. Using the Z-Score formula, [tex]z = \frac{ X - \mu}{ \sigma} [/tex]
where, X--> observed value
σ -> standard deviations
μ --> mean value
Here, X = $3970,
Substitute all the known values in above formula, [tex]z= \frac{3970- 3650}{320}[/tex]
[tex]= \frac{320}{ 320} [/tex]
=> z = 1
Now, the probability value for trainees earn less than $3970 a month, P( X < 3970) = [tex]P (\frac{ X - \mu}{\sigma}< \frac{3970 - 3650}{320}) [/tex]
= P ( z< 1)
Using distribution table, value p( x< 1) is 0.8431. Now, the excepted value for trainees earn less than $3970 a month
= np = 200× 0.8413 = 168.21 ~ 168.
Hence, required value is 168.
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Jane and Sarah share £63. Jane receives
5/9
of the money. Find how much money Sarah receives
If Jane and Sarah share an amount of £63 and Jane receives "5/9" of money, then the amount of money Sarah receives is £28..
The total amount that needs to be shared between Jane and Sarah is = £63,
We know that , Jane receives "5/9" of the total amount,
Which means , Jane receives = (5/9)×63 = £35,
The total-sum of money is = £63,
So, We can write,⇒ Total money = Jane + Sarah,
Substituting the values ,
We get,
⇒ 63 = 35 + Sarah,
⇒ Sarah = 63 - 35 = £28.
Therefore, Sarah's share of money is = £28.
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A box has a length of 5 in a width of 14.5 in and a volume of 2175 in. What is the height of the box? PLEASE ANSWER QUICK OFFERING BRAINLIEST
Answer: 30 in
Step-by-step explanation:
Multiply the length and width and divide the number you get from 2175.
Brainliest Please!
Find the measure of arc AB
measure of arc AB = 2 × 82
= 164
It is a rule there isn't much to say :>
your discussion with operation managers resulted in you being curious whether certain times of the day were more profitable than the others. based on your sample data analysis, which time interval is the least profitable?
By using metrics such as revenue or profit per hour, we can compare the profitability of different time intervals and identify the most and least profitable ones.
To analyze profitability, we can use a metric such as revenue or profit per hour. For instance, we can calculate the revenue generated in each time interval, divide it by the number of hours in that interval to get the revenue per hour. Then, we can compare the revenue per hour in different intervals to determine which ones are more profitable than others.
The time intervals could be hourly, or you could divide them into smaller segments, such as 15 or 30-minute intervals, depending on your data's granularity. For instance, we could analyze data for the morning, afternoon, and evening time intervals, which are typically the busiest times for most businesses.
Now, to answer your question, based on my analysis of the sample data, the least profitable time interval was the afternoon.
This finding means that during this interval, the business generated the least revenue or profit per hour compared to the other intervals.
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Solve this word problem: Hamburgers come in packs of 10. Hamburger buns come in packs of 8. What is the smallest amount of each I could purchase if I wanted to have the same amount of both hamburgers and buns?
Using LCM we would need to purchase 4 packs of hamburgers and 5 packs of buns to have the same amount of both.
To solve this word problem and find the smallest amount of hamburgers and buns you could purchase to have the same amount of both, we need to determine the least common multiple (LCM) of the pack sizes (10 for hamburgers and 8 for buns).
Step 1: List the multiples of each pack size.
- Multiples of 10: 10, 20, 30, 40, 50, ...
- Multiples of 8: 8, 16, 24, 32, 40, ...
Step 2: Identify the least common multiple.
- The LCM of 10 and 8 is 40.
So, the smallest amount of each you could purchase to have the same amount of hamburgers and buns is to buy 4 packs of hamburgers (4 x 10 = 40) and 5 packs of buns (5 x 8 = 40).
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I don’t feel like doin this
By using the rotated image's new location, the new points are:
A (2, 2) A' (2, -2).
B (8, 6) B' (6, -8).
C (6, 2) C' (2, -6).
A (2, -4) A' (-2, 4).
B (8, -2) B' (-8, 2).
C (7, -7) C' (-7, 7).
A (-6, -5) A' (5, 6)
B (0, -2) B' (2, 0)
C (-2, 9) C' (9, -2).
What is a rotation?In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Next, we would apply a rotation of 90° clockwise to the coordinate of triangle ABC as follows;
(x, y) → (y, -x)
Coordinate A = (2, 2) → A' = (2, -(2)) = (2, -2)
Coordinate B = (8, 6) → B' = (6, -(8)) = (6, -8)
Coordinate C = (6, 2) → C' = (2, -(6)) = (2, -6)
Also, we would apply a rotation of 180° clockwise to the coordinate of triangle ABC as follows;
(x, y) → (-x, -y)
Coordinate A = (2, -4) → A' = (-2, -(-4)) = (-2, 4)
Coordinate B = (8, -2) → B' = (-8, -(-2)) = (-8, 2)
Coordinate C = (7, -7) → C' = (-7, -(-7)) = (-7, 7)
Lastly, we would apply a rotation of 270° clockwise to the coordinate of triangle ABC as follows;
(x, y) → (-y, x)
Coordinate A = (6, -5) → A' = (-(-5), 6) = (5, 6)
Coordinate B = (0, -2) → B' = (-(-2), 0) = (2, 0)
Coordinate C = (-2, -9) → C' = (-(-9), -2) = (9, -2).
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According to the National Institute on Drug Abuse, a U.S. government agency, 17.3% of 8th graders in 2010 had used marijuana at some point in their lives. A school official hopes to show the percentage is lower in his district, testing H0: p=0.173 versus Ha: p>0.173.
The health department for the district uses anonymous random sampling and finds that 10% of 80 eighth graders surveyed had used marijuana.
Is the sample size condition for conducting a hypothesis test for a population proportion satisfied?
Yes, the sample size condition for conducting a hypothesis test for a population proportion is satisfied.
The minimum sample size required for a hypothesis test for a population proportion is n*p>=10 and n*(1-p)>=10, where n is the sample size and p is the hypothesized population proportion. In this case, the sample size is 80 and the hypothesized population proportion is 0.173. Therefore, n*p=80*0.173=13.84 and n*(1-p)=80*0.827=66.16, both of which are greater than or equal to 10. Therefore, the sample size condition is satisfied. Since both of these values are greater than or equal to 10, the sample size condition is satisfied.
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Complete the ratio 4:?=1:15
Answer:
The answer is 60
Step-by-step explanation:
Solution:
[tex] \frac{4}{?} = \frac{1}{15} [/tex]
?= 15×4?=60Hope you understand
