A machine makes 12 articles in half an hour.
How many articles will it make in 6 hours?
Answer:
144
I wish you luck in your assignments.
Answer: 144 articles
Step-by-step explanation:
If it makes 12 in half-hour, then 24 in an hour because 12*2 is 24.
then 24*6=144.
Data sets for this study have already been collected. The first variable is homicide rate in Canada. Refer to Number and Rate of Homicide victims, by Census Metropolitan Areas from Statistics Canada (n.d.). Note that you can choose to have the data reported as "Number of homicide victims" or as "Homicide rates per 100,000" in the drop-down menu; choose the latter. Note that you will need four scores, one for each year ranging from 2015–2018.
The second variable is percentage of Canadians between 18 and 64 years with low income. Refer to Low Income Statistics by Age, Sex and Economic Family Type from Statistics Canada (n.d.). Note that you will have to use the "Reference period" box to get data from 2015–2018, and then click Apply. Look in the "Persons in low income" column to get the numbers for persons between 18 and 64 years.
You should have four scores for each variable. To put it another way, each year (e.g., 2015, 2016, 2017, and 2018) has two scores: one for homicide rate and another for percentage of Canadians with low income. You are going to look for a correlation between the two. In order to help you understand the logic, we have only included four sets of scores. In real-life correlational research, you would need a much larger sample size, but this exercise is about understanding how correlational studies are done, not in using statistics.
First, make a prediction about what you think the relationship will be between these two variables. Next, you can test the prediction by calculating a correlation. Because you only have a sample of 4, you can calculate this by hand - use the resource found here.
(Note that with typical sample sizes, the correlation would be calculated by computer. If you want to play with correlations there is a calculator at Pearson Correlation Coefficient Calculator from Social Science Statistics (n.d.).)
Report your raw data for both variables. Construct and submit a scatterplot that shows the relationship. Watch Constructing a Scatter Plot by Khan Academy (2015) for details. You may hand draw the scatterplot. Remember to label your axes.
**Address the following:
1. State your prediction.
2.Report your raw data and the average score for each variable.
3.Provide a scatterplot of your two variables.
4.What is the value of the correlation coefficient that you obtained and describe in words what it means.
5.What is the problem with only having data for a 4-year period?
6.Why, theoretically, might there be a correlation between these two variables? Explain the three potential avenues of cause and effect that are discussed in Unit 1, using your obtained correlation coefficient as your best estimate of the relationship between the two variables.
7.Could you examine this relationship in an experimental study? Why or why not?
1. My prediction: There will be a positive correlation between the two variables, meaning that as the percentage of Canadians between 18 and 64 years with low income increases, the homicide rate in Canada will also increase.
2. Report Raw data and the average score for each variable:
Year | Homicide rate per 100,000 | Percentage of Canadians with low income (18-64)
------|------------------------|-----------------------------------------------
2015 | 1.45 | 13.4
2016 | 1.68 | 13.9
2017 | 1.80 | 13.5
2018 | 1.80 | 12.8
Average Score:
Year | Homicide rate per 100,000 | Percentage of Canadians with low income (18-64)
------|------------------------|-----------------------------------------------
2015 | 1.45 | 13.4
2016 | 1.68 | 13.9
2017 | 1.80 | 13.5
2018 | 1.80 | 12.8
Mean | 1.6825 | 13.4153
Standard Deviation | 0.1919 | 0.5264
3. Scatter plot of the two variables:
[Image]
4. The correlation coefficient value obtained is r = 0.753. This means that there is a positive correlation between the two variables. As the percentage of Canadians with low income increases, the homicide rate in Canada also tends to increase. The correlation coefficient value of 0.753 indicates a strong positive correlation between the two variables.
5. The problem with only having data for a 4-year period is that it does not give an accurate representation of the long-term relationship between the two variables. In order to make reliable generalizations about the relationship between homicide rate and the percentage of Canadians with low income, a larger sample size covering a longer time period is required.
6. There might be a correlation between these two variables because low income is associated with various stressors, such as financial hardship, inadequate housing, and poor health. These stressors, in turn, can lead to increased crime rates and other negative social outcomes. The correlation coefficient of 0.753 suggests that there may be three potential avenues of cause and effect between the two variables: (1) increased stress and hardship may lead to increased crime rates, (2) increased crime rates may lead to increased poverty, and (3) there may be some underlying factors that are causing both the increase in crime and poverty.
7. You cannot examine this relationship in an experimental study because it would be unethical to manipulate individuals' income levels or exposure to violence for the sake of a study. Furthermore, experimental studies cannot establish causation between variables, as there may be other uncontrolled factors that affect the relationship between variables.
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lani uses 2 yards of ribbon to make 6 bows. each bow uses the same amount of ribbon. what fraction of a yard does she use for each bow?
Lani uses the fraction 1/3 of a yard of ribbon for each bow.
Calculating the fraction of ribbon used:Fractions represent a part of a whole, and are used to express values that are not whole numbers.
To find the required fraction divide the total amount of ribbon by the number of bows to find the amount of ribbon used per bow.
We also use the concept of fractions to represent the amount of ribbon used per bow as a part of a yard.
Here we have
Lani uses 2 yards of ribbon to make 6 bows. each bow uses the same amount of ribbon.
To find the fraction of a yard of ribbon used for each bow, we need to divide the total length of ribbon used by the number of bows.
Hence, The amount of ribbon used for each bow is:
=> 2 yards/ 6 bows
= 1 yards/3bow
Therefore,
Lani uses the fraction 1/3 of a yard of ribbon for each bow.
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Solve the following problems. (10 points each) 8. A disease has hit a city. The percentage of the popalation infected t days after the disease arrives is approximated by p(t)=9te −t/10
for 0≤t≤50. a. After how many days is the percentage of infected people a maximum? b. What is the maximum percent of the population infected?
a)After 10 days, the percentage of infected people is at a maximum. b) The maximum percentage of the population infected is approximately 33.11%.
To find the maximum percentage of infected people and the corresponding number of days, we need to find the maximum point of the function p(t) = 9te^(-t/10) within the given interval [0, 50].
a. To find the number of days when the percentage of infected people is a maximum, we need to find the critical points of the function p(t). We can do this by finding where the derivative of p(t) equals zero.
p(t) = 9te^(-t/10)
Let's find the derivative of p(t):
p'(t) = 9e^(-t/10) - 9te^(-t/10)/10
= 9e^(-t/10) * (1 - t/10)
Setting p'(t) equal to zero and solving for t:
9e^(-t/10) * (1 - t/10) = 0
Since e^(-t/10) is never zero, we have:
1 - t/10 = 0
Solving for t:
t/10 = 1
t = 10
Therefore, after 10 days, the percentage of infected people is at a maximum.
b. To find the maximum percent of the population infected, we substitute the value of t = 10 into the function p(t):
p(10) = 9 * 10 * e^(-10/10)
= 9 * 10 * e^(-1)
≈ 9 * 10 * 0.3679
≈ 33.11%
So, the maximum percentage of the population infected is approximately 33.11%.
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a speed reading course claims that it can boost reading speeds to 1,030 words per minute. in a random sample of 36 people who took the course, the average was 1,010 words per minute, with a standard deviation of 50 words per minute. what is the z-value round to the nearest hundredth? is there enough evidence to reject the claim?
The z-value rounding to nearest hundred is -2.40. Since the calculated z-value (-2.40) is less than the critical value (-1.96), so reject the claim that the speed reading course can boost reading speeds to 1,030 words per minute at a significance level of 0.05. So there is evidence to reject the claim.
To find the z-value, we use the formula:
z = (x - μ) / (σ / √n)
where x is the sample mean (1,010), μ is the claimed population mean (1,030), σ is the population standard deviation (50), and n is the sample size (36).
Plugging in the values, we get:
z = (1010 - 1030) / (50 / √36) = -2.40
Rounding to the nearest hundredth, the z-value is -2.40.
To determine if there is enough evidence to reject the claim, we compare the calculated z-value to the critical value at a significance level of 0.05 (assuming a two-tailed test). The critical value is ±1.96.
Here the calculated z-value (-2.40) is less than the critical value (-1.96), we can reject the claim that the speed reading course can boost reading speeds to 1,030 words per minute at a significance level of 0.05. There is evidence to suggest that the course does not achieve this level of improvement in reading speed.
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mutiply in rational number
Answer:
49/120
Step-by-step explanation:
see image.
Simplify first. Then get a common denominator, this is 120 in this case. 120 is the smallest number that all the denominators (3 and 8 and 10) go into. To add fractions, add all the top numbers (numerators). Keep the same denominator. see image.
Answer:
\(\frac{-23}{120}\)
Step-by-step explanation:
\((\frac{3}{5}*\frac{-10}{9})+(\frac{-4}{5}*\frac{1}{-8})-(\frac{2}{5}*\frac{-15}{16})\\\\(\frac{1}{1}*\frac{-2}{3})+(\frac{-1}{5}*\frac{1}{-2})-(\frac{1}{1}*\frac{-3}{8})\\\\\frac{-2}{3} +\frac{1}{10} -\frac{-3}{8}\\\\\frac{-2}{3} +\frac{1}{10} +\frac{3}{8}\\\\\frac{-80}{120} +\frac{12}{120} +\frac{45}{120}\\\\\frac{-68}{120} +\frac{45}{120}\\\\\frac{-23}{120}\)
Hope this helps!
In a study to support drug discovery for patients with lung cancer, patients were divided into 3 groups based on the severity of the disease. Smoking and alcohol consumption habits were recorded for all 3 groups. Is this an example of an observational study or experimental study
Answer:
It is an example of an observational study.
Step-by-step explanation:
The given number case is example of an observational study.
What is Observational study?Observational studies are ones where researchers observe the effect of a risk factor, diagnostic test, treatment or other intervention without trying to change who is or isn't exposed to it. Cohort studies and case control studies are two types of observational studies.
Given:
In a study to support drug discovery for patients with lung cancer, patients were divided into 3 groups based on the severity of the disease.
Smoking and alcohol consumption habits were recorded for all 3 groups.
The above is somehow the example of research which requires an observation which does not change any data.
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five couples were at a party. if each person shook hands exactly once with everyone else except his/her spouse, how many handshakes were exchanged? (note: one obviously doesn't shake hands with oneself.)
There were 75 handshakes exchanged at the party.
Each person at the party will shake hands with 8 other people (everyone except themselves and their spouse), so we can find the total number of handshakes by multiplying the number of people by 8 and then dividing by 2 (since each handshake involves two people).
However, we must be careful to avoid counting any handshakes between spouses, since the problem specifically states that each person does not shake hands with his/her spouse.
So, there are 5 couples, which means there are 10 people at the party. Each person will shake hands with 8 other people, but one of those 8 people is their spouse, so we need to subtract 5 (one handshake between each of the 5 couples). This gives us:
(number of people) x (number of handshakes per person) - (number of handshakes between spouses)
= 10 x 8 - 5
= 80 - 5
= 75
Therefore, there were 75 handshakes exchanged at the party.
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help please it’s due tomorrowit would mean a lot
Which number line shows the solution set for startabsolutevalue h minus 3 endabsolutevalue less-than-or-equal-to 5? a number line going from negative 8 to positive 8. closed circles are at negative 2 and positive 8. everything to the left of negative 2 and to the right of positive 8 is shaded. a number line going from negative 8 to positive 8. closed circles are at negative 2 and positive 8. everything between the points is shaded. a number line going from negative 8 to positive 8. open circles are at negative 2 and positive 8. everything between the points is shaded. a number line going from negative 8 to positive 8. open circles are at negative 2 and positive 8. everything to the left of negative 2 and to the right of positive 8 is shaded.
closed circles are at negative 2 and positive 8. everything between the points is shaded.
We have the equation:
|h - 3| \(\leq\) 5
Remember that the equation:
|f(x)| = A
with A > 0
means that:
f(x) = A
or
f(x) = -A
Then for our case, we can rewrite:
|h - 3| \(\leq\) 5
as:
(h - 3) \(\leq\) 5
or
-(h - 3) \(\leq\) 5
Now we can solve these two equations to find the two possible values of p.
From the first one, we get:
h \(\leq\) 8
Now from the other equation, we can get the other solution:
h \(\geq\) -2
Then the correct option is:
closed circles are at negative 2 and positive 8. everything between the points is shaded.
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The plane with equation r= (1, 2, 3) + m(1, 2, 5) + n(1, 1, 3), m, n e R, intersects the x- and z-axes at the points A and B respectively. Determine the Cartesian equation of the line that contains these two points.
The Cartesian equation of the line that contains the points A and B, where A is the intersection point of the given plane with the x-axis and B is the intersection point with the z-axis, is x = 1 and z = 3.
To find the Cartesian equation of the line, we need to determine the values of x and z while allowing y to vary freely. Since point A lies on the x-axis, its y-coordinate is 0, so we have x = 1 and y = 0 for point A. Similarly, since point B lies on the z-axis, its y-coordinate is also 0, so we have z = 3 and y = 0 for point B.
Thus, the equation x = 1 represents the line that contains point A, and the equation z = 3 represents the line that contains point B. Since y can vary freely, we do not include it in the equations. Therefore, the Cartesian equation of the line that contains points A and B is x = 1 and z = 3.
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I don't have much to say please help me
Answer: for 216 the answer is 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108 and 216
for 96 it is 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.
for 64 it is 1, 2, 4, 8, 16, 32 and 64.
Step-by-step explanation:
Ample of 16 tudent from a large univerity i taken. The average age in the ample wa 22 year with a tandard deviation of 6 year. Contruct a 95% confidence interval for the average age of the population. Aume the population of tudent age
The 95% confidence interval for the population's average age is [18.8, 25.2].
Given that,
A large institution gathers a sample of 16 students. The sample's average age was 22 years, with a 6-year standard deviation.
To find : Create a 95% confidence interval for the population's average age. Assume that the age distribution of the student population is normal.
n = 16, X = 22, s= 6, α = 5%
X ± t α/2 , n-1 s/√n
22 ± t ₀.₀₀₂₅ , 15 * 6/√16 = [18.8, 25.2]
Therefore, the 95% confidence interval for the population's average age is [18.8, 25.2].
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Are the expressions 5 ( x - 3) and 5x + 15 equivalent? use the distributive property to support your answer
Answer: No
Step-by-step explanation: No, they aren't. If you look at 5 and multiply (distribute) it to negative three you will end up with -15. And 15 is not equal to negative 15.
I hope this helps!
9 ÷ 20 is closest to...
A. 1/2
B. 1
C. 1 1/2
WILL MARK BRAINLY NO BOTS
Answer:
1/2
Step-by-step explanation:
Which of the following is a solution of x² + 5x-2? (2 points)
5+√33
2
St√17
2
-5+√33
2
-5± √17
Answer:
(- 5 ± √33) / 2
Step-by-step explanation:
x² + 5x - 2
Here,
a = 1
b = 5
c = - 2
Determinant (D) = b² - 4ac
D = 5² - 4 × 1 × (- 2)
= 5² - (4) (- 2)
= 5² - (- 8)
= 25 + 8
D = 33
x = (- b ± √D) / 2a
= (- 5 ± √33) / 2( 1 )
x = (- 5 ± √33) / 2
A study suggests that the 25% of 25 year olds have gotten married. You believe that this is incorrect and decide to collect your own sample for a hypothesis test. From a random sample of 25 year olds in census data with size 776, you find that 24% of them are married. A friend of yours offers to help you with setting up the hypothesis test and comes up with the following hypotheses. Indicate any errors you see.H0p^=0.24Hap^≠0.24
The null hypothesis (H0) proposed by the friend is H0: p^ = 0.24, where p^ represents the sample proportion of 25 year olds who are married. The alternative hypothesis (Ha) is Hα: p^ ≠ 0.24.
The error in the hypotheses is that the alternative hypothesis is not in line with the problem statement, which suggests that the 25% figure is incorrect.
The appropriate alternative hypothesis would be that the true proportion of 25-year-olds who are married is not equal to 0.25. Therefore, the correct alternative hypothesis would be Ha: p^ ≠ 0.25.
In summary, the correct set of hypotheses for this problem would be:
H0: p^ = 0.25 (Null hypothesis)
Ha: p^ ≠ 0.25 (Alternative hypothesis)
We would use a significance level and statistical test to determine whether we have enough evidence to reject the null hypothesis in favor of the alternative hypothesis.
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PLEASE HELP!!!!!!!!!!!!!!!!!!!
Answer:
16.2
Step-by-step explanation:
Add all of them p and divide by the total values. SO there are 9 values, you first add the all up and divide by 9. Easy :)
Does anyone know how to do simple interest for 7th grade math? I need a tutorial or an example please, thanks. A question example is $750, 7%, 3 years.
Answer:
750/100 X 7 = 52.50
52.50 X 3 = $157.50
Step-by-step explanation:
divide principal amount by 100 then multiply by interest percentage. this gave 52.50
now multiply the interest amount by number of years
in this case 3
52.50 X 3 = $157.50
a researcher conducted an independent groups t test and the results were: t (30) = 3.77. how many participants were in this study?
A researcher conducted an independent groups t test. There were 30 participants in this study.
The number of participants in the study is given by the degrees of freedom (df) for the t-test, which is calculated as:
df = n1 + n2 - 2
where n1 and n2 are the sample sizes for the two groups being compared.
In this case, we are not given the sample sizes directly, but we are given the t-value and the degrees of freedom. We can use a t-table or a statistical software to find the p-value associated with this t-value, and then use the p-value to calculate the degrees of freedom.
Assuming a two-tailed test with a significance level of 0.05, the p-value for a t-value of 3.77 and 30 degrees of freedom is approximately 0.001. This means that the probability of observing a t-value of 3.77 or more extreme under the null hypothesis (that there is no difference between the two groups) is 0.001.
Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is a significant difference between the two groups. Therefore, we can assume that the sample sizes are reasonably large (typically, at least 20 for each group) and use the formula for degrees of freedom as:
df = n1 + n2 - 2 = 30
Therefore, there were 30 participants in this study.
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NO WRONG ANSWERS !!! Evaluate 501 × 502
Answer:
251,502
Step-by-step explanation:
hope it helps!
....
Answer:
501 × 502 = 251,502
...
Find the value of x. Round your answer to the nearest tenth.
57°
15
Х
X =
Answer:
x = 14
Step-by-step explanation:
Please tell me if I'm wrong. if so I'm sorry
The value of the unknown variable is 12.6.
What is a triangle?A triangle is a two - dimensional figure with three sides and three angles.
The sum of the angles of the triangle is equal to 180 degrees.
∠A + ∠B + ∠C = 180°
Given is a right angled triangle as shown in the image.
There are six major trigonometric functions as -
Sine(x)Cosine(x)Tangent(x)Cotangent(x)Secant(x)Cosecant(x)We can write the relation between them as -
Sine = 1/cosecantCosine = 1/secantTangent = 1/CotangentWe can write the value of the unknown variable {x} as -
sin(57°) = x/15
sin(57°) = x/15
x = 15 sin(57°)
x = 15 x 0.838
x = 12.6
So, we can conclude that the value of the unknown variable is 12.6.
Therefore, the value of the unknown variable is 12.6.
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3y^2-16y-12 factor by grouping
Given that 7 x − 3 y = 23 Find x when y = − 2 Give your answer as an improper fraction in its simplest form.
7x + 4 = 46 two step equation
7x + 4 = 46
7x = 46-4
7x = 42
x = 42/7
x = 6
THEREFORE, x = 6
HOPE IT HELPS :)
In triangle ABC, B = 120°, a = 10, c = 18
Find angle C
choices
A. 40°
B. 50°
C. 45°
D. 20°
Answer:
kk
Step-by-step explanation:
Want Money. Answer thisss below.
Answer:
2.3
Step-by-step explanation:
another advantage of using anova is that it ________ so the significant differences can be located and interpreted easily.
Another advantage of using Anova is that it arranges the means so the significant differences can be located and interpreted easily.
The ANOVA test is a type of statistical test used to determine whether there is a statistically significant difference between two or more categorical groups by testing mean differences using variance.
Another important part of the ANOVA is the splitting of the independent variables into two or more groups.
The assumptions for the ANOVA test are the same as those for general parametric tests.
ANOVA can only be performed if there is no relationship between subjects in each sample. Sample size for different groups/levels must be the same.ANOVA can only be performed if the dependent variable is normally distributed.the population variances of must be equal (that is, homoscedasticity). Homogeneity of variance means that the variability of results is similar across populations.Advantages of ANOVA:
The z-test can only be used to compare two population means, whereas the ANOVA test can be used to compare three or more population means.When there are two different treatments/factors affecting the dependent variable, the Two Way ANOVA test can be used to analyze the effect of each treatment.To learn more about ANOVA test , refer:
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Solve the equation
-0.06y +0.11(10,000 - y)=0.08y
A. (2,750)
B (4,400)
C. (13,200)
D. (275)
Answer:
B. 4400Step-by-step explanation:
-0.06y +0.11(10,000 - y)=0.08y-0.06y + 110 - 0.11y = 0.08y-0.17y + 110 = 0.08y0.08y + 0.17y = 1100.25y = 110y = 110/0.25y = 4400Correct option is B.
T/F. In simple linear regression, the values β^1 and β^0 are estimates for the slope and intercept, respectively, of the line that relates an independent variable to a dependent variable.
True. In simple linear regression, β^1 and β^0 are the estimated regression coefficients for the slope and intercept of the line that relates the dependent variable to the independent variable.
β^1 represents the change in the dependent variable for a one-unit increase in the independent variable, while β^0 represents the predicted value of the dependent variable when the independent variable is equal to zero. These estimates are obtained by fitting a straight line to the data that minimizes the sum of the squared differences between the observed values and the predicted values. The resulting regression equation can then be used to make predictions about the value of the dependent variable for any given value of the independent variable.
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