By arranging the population in a systematic pattern where every kth element has the same value, we ensure that the variance of the 1-in-k systematic sample mean is 0.
To construct a population such that V(īsy) = 0 for 1-in-k systematic sampling, we need to ensure that the population variance is evenly distributed throughout the sample. This can be achieved by selecting a population where the variability within each kth interval is the same.
For example, if we have a population of 1000 individuals, we can divide it into intervals of 10. Within each interval, we can ensure that the variance is the same by selecting individuals with similar characteristics or attributes. This ensures that when we take a 1-in-k systematic sample, the variance within each interval remains the same, resulting in V(īsy) = 0.
It is important to note that systematic sampling is a type of probability sampling where every kth individual is selected from the population. This method is often used when the population is large and spread out, and random sampling is not feasible. However, it is important to ensure that the systematic sampling is truly random and not biased towards any particular group within the population.
To construct a population where the variance of the 1-in-k systematic sample mean (V(īsy)) equals 0, we need to make sure that the sample means are the same for all possible systematic samples.
Step 1: Choose a population size, N, and a sampling interval, k. For simplicity, let's select N=12 and k=3.
Step 2: Arrange the population elements in a systematic pattern. Since we want the variance of the systematic sample mean to be 0, we'll arrange the elements such that every kth element has the same value. For example:
Population: 5, 2, 7, 5, 2, 7, 5, 2, 7, 5, 2, 7
Step 3: Perform 1-in-k systematic sampling. With k=3, we'll take every 3rd element starting from the first element:
Sample 1: 5, 5, 5, 5 (Mean: 5)
Sample 2: 2, 2, 2, 2 (Mean: 2)
Sample 3: 7, 7, 7, 7 (Mean: 7)
Step 4: Verify that V(īsy) = 0. The variance of the sample means is 0, as they are all equal for each possible systematic sample. Therefore, V(īsy) = 0 for this population.
In summary, by arranging the population in a systematic pattern where every kth element has the same value, we ensure that the variance of the 1-in-k systematic sample mean is 0.
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At the beginning of the year, Mirmax set its predetermined overhead rate for movies produced during the year by using the following
estimates: overhead costs, $2,438,000, and direct labor costs, $460,000. At year-end, the company's actual overhead costs for the
year are $2,426,200 and actual direct labor costs for the year are $460,000.
1. Determine the predetermined overhead rate using estimated direct labor costs.
2. Enter the actual overhead costs incurred and the amount of overhead cost applied to movies during the year using the
predetermined overhead rate. Determine whether overhead is over- or underapplied (and the amount) for the year.
3. Prepare the entry to close any over- or underapplied overhead to Cost of Goods Sold.
Complete this question by entering your answers in the tabs below.
Required 1 Required 2
Required 3
Determine the predetermined overhead rate using estimated direct labor costs.
1. The determination of the predetermined overhead rate using the estimated direct labor costs is $5.30.
2. The actual overhead costs incurred are $2,426,200 while the amount of overhead cost applied to movies using the predetermined overhead rate is $2,438,000.
2b. Overhead is overapplied by $11,800.
3. The journal entry to close the overapplied overhead to the Cost of Goods Sold is as follows:
Journal Entry:Debit Manufacturing Overhead $11,800
Credit Cost of Goods Sold $11,800
(To close the overapplied overhead to the cost of goods sold.)
When is overhead overapplied?Overhead is overapplied when the applied overhead is more than the actual overhead incurred.
The applied overhead is based on a predetermined overhead rate, which relies on estimates.
Estimated Costs:Overhead costs = $2,438,000
Direct labor costs = $460,000
Predetermined overhead rate = $5.30 ($2,438,000 ÷ $460,000)
Actual Costs:Overhead costs incurred = $2,426,200
Direct labor costs = $460,000
Overhead Applied = $2,438,000 ($5.30 x $460,000)
Overhead overapplied = $11,800 ($2,438,000 - $2,426,200)
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If a local car dealership sells new and used car the total number of cars currently at the dealership is 114.The dealership reported that they have 5 new cars for every 1 used car on the lot, how many total used cars are currently on the lot?
Using the given ratio we can see that there are 19 used cars.
How to find the number of used cars?We know that the dealership reported that they have 5 new cars for every 1 used car on the lot, so we need to use that ratio.
5/6 of the cars are new.
1/6 of the cars are used.
The total number is 114, then the number of used cars is:
(1/6)*114 = 19
There are 19 used cars.
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What is the surface area of this cylinder? Use ≈ 3.14 and round your answer to the nearest hundredth. 10 m 6 m square meters
what conditions/assumptions must be met in order for the two-sample test for means with independent samples to be appropriate?
If these conditions/assumptions are met, then the two-sample test for means with independent samples can be used to determine if there is a statistically significant difference between the means of two independent groups.
In order for the two-sample test for means with independent samples to be appropriate, the following conditions/assumptions must be met:
Independent samples: The samples for each group should be selected independently of each other.
Normality: The population distributions should be approximately normal, or the sample sizes should be large enough (n > 30) for the central limit theorem to apply.
Equal variances: The variances of the two populations should be approximately equal. This assumption is important for calculating the pooled variance estimate, which is used in the t-test formula.
Random sampling: The samples should be randomly selected from the populations of interest.
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what is a ray in mathematics
Question: James and Samuel go to work at different parts of the town. James' house is located at the coordinates (3,4) and his job is at the coordinates (9,8). He decides to grab a snack before his job from the gas station which is at the coordinates (4,1). Samuel's house is located at the coordinates (10,2) and his job is at the coordinates (4,5). He decides to visit his mother before his job, whose house is at the coordinates (5,8). Whose journey to their job was longer, Samuel's or James'?
James had a longer commute to work than Samuel did.
We need to figure out how far each person went from their starting point to their destination in order to evaluate whose journey was longer. The formula for calculating the distance between two locations is as follows:
[tex]d = \sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)[/tex]
For James:
Distance from his house to the gas station:
[tex]d_1 = \sqrt{((4 - 3)^2 + (1 - 4)^2)}\\ = \sqrt{(10)[/tex]
Distance from the gas station to his job:
[tex]d_2 = \sqrt{((9 - 4)^2 + (8 - 1)^2)}\\ = \sqrt{(90)}[/tex]
Total distance traveled:
[tex]d_1 + d_2 = \sqrt{(10)} + \sqrt{(90) }\\= 12.016[/tex]
For Samuel:
Distance from his house to his mother's house:
[tex]d_1 = \sqrt{((5 - 10)^2 + (8 - 2)^2)} \\= \sqrt{(74)[/tex]
Distance from his mother's house to his job:
[tex]d_2 = \sqrt{((4 - 5)^2 + (5 - 8)^2})\\ = \sqrt{(10)[/tex]
Total distance traveled:
[tex]d_1 + d_2 = \sqrt{(74)} + \sqrt{(10)} \\ =10.872[/tex]
Therefore, Samuel's journey to his job was shorter than James'
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Your gross annual pay is $19 163. Employment insurance premiums are deducted at a rate of 2. 25% and Canada Pension Plan premiums are 3. 75% based on total earnings. You pay income taxes at a rate of 17% on all amounts over $8131. What is your Net Pay for the year?
The Net Pay for the year for gross annual pay is $19 163. Employment insurance premiums are deducted at a rate of 2 with income taxes at a rate of 17% on all amounts over $8131 is $16,137.03.
To find the net pay for the year, we need to subtract the deductions from the gross pay and then subtract the income tax from the remaining amount.
First, we need to find the total amount deducted for EI and CPP premiums:
EI premium = 2.25% of $19,163 = $431.67
CPP premium = 3.75% of $19,163 = $720.86
Total deductions = $431.67 + $720.86 = $1,152.53
Next, we need to find the taxable income by subtracting the basic personal amount from the gross pay:
Taxable income = $19,163 - $8,131 = $11,032
Then, we need to calculate the income tax on the taxable income:
Income tax = 17% of ($11,032) = $1,873.44
Finally, we can calculate the net pay by subtracting the total deductions and income tax from the gross pay:
Net pay = $19,163 - $1,152.53 - $1,873.44 = $16,137.03
Therefore, the net pay for the year is $16,137.03.
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What is the average of the points A, B, and C with weights 1, 4 and 4 respectively?
A (8,-6) B(9,-5) C(-6,7)
The average of the three points A, B and C is M(x, y) = (- 7 / 9, 17 / 9).
How to use weighted average formula
In this problem we need to find the average of three points (A, B, C), each point has different weights. The average can be found by means of following expression:
[tex]M(x, y) = \frac{\sum\limits_{i = 1}^{n} w_{i}\cdot P_{i}(x, y)}{\sum \limits_{i = 1}^{n}w_{i}}[/tex]
Where:
[tex]w_{i}[/tex] - Weight of the i-th element.[tex]P_{i}(x, y)[/tex] - i-th PointM(x, y) - AverageThen, the average of points A, B and C are described below:
M(x, y) = [1 · (8, - 6) + 4 · (9, - 5) + 4 · (- 6, 7)] / (1 + 4 + 4)
M(x, y) = [(8, - 6) + (9, - 5) + (- 24, 28)] / 9
M(x, y) = (- 7, 17) / 9
M(x, y) = (- 7 / 9, 17 / 9)
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A diver dives 16 ft below sea level. The diver then
dives down another 6 ft. more. What is the diver's
elevation below sea level after both dives?
Answer: The diver's elevation below sea level after both dives is 22 feet.
The diver starts 16 feet below sea level, and then dives another 6 feet. This means the diver is now 16 + 6 = 22 feet below sea level.
Step-by-step explanation:
2. Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work.
Answer:
The angles of the cyclic quadrilateral are
84 degrees96 degrees98 degrees80 degreesHow to find the measure of the anglesIn a cyclic quadrilateral the opposite angles are supplementary hence we have that
x - 4 + x + 8 = 180 degrees
gathering like terms
2x = 180 - 8 + 4
2x = 176
isolating x
x = 88 degrees
angles on each side
x- 4 = 88 - 4 = 84
x + 8 = 88 + 8 = 96
2x - 78 = 2(88) - 78 = 98
sum of the angles of a cyclic quadrilateral is 360
the fourth angle = 360 - 84 - 96 - 98
the fourth angle = 80 degrees
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6( 3x + 12)] = 54 what is the value of x ?
The value of x based on the stated expression using mathematical operations is -1.
The calculation of x will be performed using mathematical operations in following format. Here are the steps -
Solve the parenthesis
18x + 72 = 54
Switch the position of number 72 from Left Hand Side to Right Hand Side
18x = 54 - 72
Performing subtraction on Right Hand Side of the equation
18x = -18
Rewrite the equation according to x
x = -18/18
Performing division on Right Hand Side of the equation
x = -1
Hence, the value of x is -1.
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1) A liquor store owner wants to re-order their store to put the more expensive wines near the front. The owner samples 40 bottles of red and 40 bottles of white wine to find out which is more expensive. The owner finds the average price of white is $19.33, while the average price of red is $20.87 (standard deviation of $2.88 for white and $3.05 for red).
1a) What is the point estimate of the population price difference between red and white wines?
1b) What is the margin of error for alpha=0.01?
1c) What is the confidence interval for the difference between the two population means? Use alpha=0.05.
Answer:
Bellow
Step-by-step explanation:
1a) The point estimate of the population price difference between red and white wines is given by:
$$\bar{x}_1 - \bar{x}_2 = 20.87 - 19.33 = 1.54$$
Therefore, the point estimate of the population price difference between red and white wines is $1.54.
1b) The margin of error for alpha=0.01 can be calculated using the following formula:
$$ME = z_{\alpha/2}\cdot\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}}$$
where $z_{\alpha/2}$ is the critical value of the standard normal distribution for the given level of significance, $s_1$ and $s_2$ are the sample standard deviations, and $n_1$ and $n_2$ are the sample sizes for the two populations.
For alpha=0.01, the critical value of the standard normal distribution is $z_{\alpha/2}=2.58$. Substituting the given values, we get:
$$ME = 2.58\cdot\sqrt{\frac{2.88^2}{40} + \frac{3.05^2}{40}} \approx 1.01$$
Therefore, the margin of error for alpha=0.01 is approximately $1.01.
1c) The confidence interval for the difference between the two population means can be calculated using the following formula:
$$(\bar{x}_1 - \bar{x}_2) \pm z_{\alpha/2}\cdot\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}}$$
For alpha=0.05, the critical value of the standard normal distribution is $z_{\alpha/2}=1.96$. Substituting the given values, we get:
$$(20.87 - 19.33) \pm 1.96\cdot\sqrt{\frac{2.88^2}{40} + \frac{3.05^2}{40}}$$
Simplifying this expression, we get:
$$(1.54) \pm 1.11$$
Therefore, the 95% confidence interval for the difference between the two population means is approximately $(0.43, 2.65)$.
The Sweet Encounter is a touring International candy festival. The festival's most popular product is rainbow lollipops. At one stop of the tour, 17 out of every 53 products offered are rainbow lollipops. At that stop, the festival promoter took a sample of the products offered. He found that 27 of the 82 products offered in his sample were rainbow lollipops. For the festival promoter's sample, find and write with proper notation the sample proportion and population proportion of products offered that were rainbow lollipops. Write the proportions as decimals (not percentages) rounded to two decimal places
The sample proportion of rainbow lollipops in the festival promoter's sample is 0.33 (27/82), rounded to two decimal places. The population proportion of rainbow lollipops among all products offered at the stop of the tour is 0.32 (17/53), rounded to two decimal places.
The sample proportion and population proportion of rainbow lollipops in the given situation.
For the entire population (all products offered) at the stop, there were 17 rainbow lollipops out of every 53 products offered. To find the population proportion (P), we can use the formula:
P = Number of Rainbow Lollipops / Total Number of Products
P = 17 / 53
Now let's calculate the population proportion:
P ≈ 0.32 (rounded to two decimal places)
For the festival promoter's sample, he found that 27 of the 82 products offered were rainbow lollipops. To find the sample proportion (p'), we can use the formula:
p' = Number of Rainbow Lollipops in Sample / Total Number of Products in Sample
p' = 27 / 82
Now let's calculate the sample proportion:
p' ≈ 0.33 (rounded to two decimal places)
So, in proper notation, the population proportion (P) is approximately 0.32, and the sample proportion (p') is approximately 0.33.
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to determine a relationship between drag force (y-axis) and speed (x-axis) given 5 coffee filters and a motion detector. air resistance kab
To determine the relationship between drag force and speed, you can conduct an experiment using 5 coffee filters and a motion detector. First, set up the motion detector to track the speed of the coffee filters as they fall through the air. Then, drop each coffee filter one at a time and record the drag force measured by the motion detector.
Plot the drag force on the y-axis and the speed on the x-axis, and you should be able to observe a relationship between the two variables. As the speed of the coffee filter increases, the drag force will also increase. This relationship is due to air resistance, which causes the coffee filter to experience a drag force as it falls through the air.
By analyzing the data and creating a graph, you can determine the specific relationship between drag force and speed for these coffee filters. This information can be useful in understanding how air resistance affects the motion of objects and in designing experiments or models that take air resistance into account.
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What is the value of y?
Y/ 1/5=20
Answer:
100
Step-by-step explanation:
To solve for y in the equation Y/1/5=20, we can multiply both sides of the equation by 1/5 to isolate y on one side of the equation. This gives us:
Y/1/5 * 1/5 = 20 * 1/5
Simplifying this expression gives us:
Y = 100
Therefore, the value of y is one hundred.
Answer:
Y = 4
Step-by-step explanation:
Now we have to,
→ Find the required value of Y.
The equation is,
→ Y/(1/5) = 20
Then the value of Y will be,
→ Y/(1/5) = 20
Simplifying the left hand side:
→ Y × (5/1) = 20
→ 5Y/1 = 20
→ 5Y = 20
Dividing 20 by the number 5:
→ Y = 20/5
→ [ Y = 4 ]
Hence, the value of Y is 4.
Which of these values are solutions to x -6 < 2x + 2
x = -1
x= -5
x = -9
Answer:
x - 6 < 2x + 2
-8 < x, so x > -8
x = -1 and x = -5 are solutions to this inequality.
of the students living in the dormitories at asu, 58% live at the west hall, and the rest at the south tower. a sandwich shop randomly mails a coupon for a free sandwich to 26%of those at the west hall, and to 19% of those living at the south tower. a student living in a dormitory is randomly chosen. find the probability that this student does not receive a coupon. (round your answer to four decimal places.) [hint: use a tree diagram]
The probability that a student living in a dormitory at ASU does not receive a coupon for a free sandwich is 0.6436.
The probability that a student lives in West Hall is 0.58 and the probability that a student lives in South Tower is 0.42. The probability that a student in West Hall receives a coupon is 0.26, and the probability that a student in South Tower receives a coupon is 0.19.
To find the probability that a student does not receive a coupon, we can use the complement rule: the probability of the event happening plus the probability of the event not happening is equal to 1. So, the probability of a student not receiving a coupon is 1 minus the probability of a student receiving a coupon.
Using a tree diagram, we can find the probability of a student receiving a coupon or not. Starting with the first branch of the tree, we have:
West Hall (0.58)
- Coupon (0.26)
- No Coupon (0.74)
South Tower (0.42)
- Coupon (0.19)
- No Coupon (0.81)
To find the probability of a student not receiving a coupon, we add the probability of no coupon from each branch of the tree and multiply by the probability of being in that branch. So, the probability of a student not receiving a coupon is:
(0.58 x 0.74) + (0.42 x 0.81) = 0.6436
Therefore, the probability that a student living in a dormitory at ASU does not receive a coupon for a free sandwich is 0.6436.
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What parametric statistical method(s) a researcher can use to determine if the mean total cholesterol level of the population is the same for four groups of subjects (Group 1 = Diet Restriction; Group 2 = Exercise; Group 3 = Both Diet and Exercise; Group 4 = None).
a. Statistical Test is _____.
b. Null Hypothesis is _____.
c. Alternative Hypothesis is _____.
The alternative Hypothesis is that at least one of the mean total cholesterol levels is different from the others in the four groups of subjects.
A researcher can use an analysis of variance (ANOVA) parametric statistical method to determine if the mean total cholesterol level of the population is the same for four groups of subjects (Group 1 = Diet Restriction; Group 2 = Exercise; Group 3 = Both Diet and Exercise; Group 4 = None).
a. Statistical Test is ANOVA.
b. Null Hypothesis is that the mean total cholesterol level of the population is the same for all four groups.
c. Alternative Hypothesis is that the mean total cholesterol level of the population is different for at least one group.
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would a chi-square test based on a 2 ✕ 2 table using a level of 0.05 be statistically significant?p-value = 0.12a) Yes, because 0.12 < 3.84.b) Yes, because 0.12 > 0.05. c) No, because 0.12 > 0.05.d) No, because 0.12 < 3.84.
The correct answer based on chi-square test is (c) No, because 0.12 > 0.05.
In a chi-square test, the p-value represents the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming that the null hypothesis is true. In this case, the null hypothesis is that there is no association between the two variables in the 2 x 2 table.
If the p-value is less than or equal to the significance level (0.05 in this case), then we reject the null hypothesis and conclude that there is a statistically significant association between the variables. However, if the p-value is greater than the significance level, we fail to reject the null hypothesis and conclude that there is not enough evidence to support a significant association.
In this scenario, the p-value is 0.12, which is greater than the significance level of 0.05. Therefore, we fail to reject the null hypothesis and conclude that the chi-square test based on the 2 x 2 table is not statistically significant.
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What’s the area
Of this triangle……..
Answer:
Step-by-step explanation:
Answer:72
Answer:
72 feet square
Step-by-step explanation:
18 x 8 ÷ 2 = 72
7. The parabola shown has the form y = ax2 + bx + c.
a. What is the axis of symmetry? x=
b. Look at the width of the parabola to find a.
c. Use the formula x = to find b.
2a
d. What is the equation of the parabola?
Answer:
a
Step-by-step explanation:
a
Which of the following represents the linear form of v?
The equation that represents the linear form of vector v is given as follows:
v = -9i - 6j.
How to obtain the linear form of vector v?The general format for the linear form of a vector is given as follows:
v = ai + bj.
In which:
a is the horizontal component of the vector.b is the vertical component of the vector.The points of the vector are given as follows:
Starting point: (10, 8).Endpoint: (1,2).Hence the horizontal component of the vector is given as follows:
a = 1 - 10
a = -9.
The vertical component of the vector is given as follows:
b = 2 - 8
b = -6.
Hence the linear form of the vector is:
v = -9i - 6j.
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Eric owns and operates the Hot Ham food truck. The expression
3.25
�
+
2
ℎ
3.25b+2h3, point, 25, b, plus, 2, h gives the cost of
�
bb burgers and
ℎ
hh hot dogs.
What is the cost of
4
44 burgers and
6
66 hot dogs?
The cost of 4 burgers and 6 hot dogs is $25.
We are given that;
Expression= 3.25+2ℎ
Number of burgers=444
Number of hot dogs= 666
Now,
To find the cost of 4 burgers and 6 hot dogs, we need to substitute b = 4 and h = 6 in the expression 3.25b+2h. We get:
3.25(4)+2(6)
Using the order of operations, we first multiply 3.25 by 4 and 2 by 6. We get:
13+12
Then we add 13 and 12. We get:
25
Therefore, by the given expression the answer will be $25.
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(2 points) Important: With this multiple choice question, you only get one attempt (not the usual three)! To test whether there is a significant difference in mean household debt between Regina and Sasaktoon households, samples of 100 households in each city are collected. A test statistic z-score of 1.51 is calculated based on the collected sample data. We wish to perform the test at the 5% level of significance. What final conclusion could be drawn from this information? Select the best answer. At this level of significance, ? ? we cannot conclude that there is a significant difference between the two populations. we can conclude that household debt is the same in the two cities. Preview My Answers we can conclude that household debt is different in the two cities. You have attempted this probl we cannot make any conclusions, since the sample sizes are the same. You have 1 attempt remaining we can conclude that there is a significant difference between the two populations. we can conclude that household spending in Regina is higher.
Based on the information given, we can conclude that there is a significant difference between the two populations.
The calculated z-score of 1.51 is greater than the critical value of 1.96 (at the 5% level of significance), which indicates that the sample mean differences are unlikely to have occurred by chance. Therefore, we reject the null hypothesis and conclude that household debt is different in the two cities.
At this level of significance, we cannot conclude that there is a significant difference between the two populations.
Explanation:
To determine if there is a significant difference between the mean household debt of Regina and Saskatoon households at the 5% level of significance, we need to compare the calculated z-score of 1.51 to the critical z-score for a two-tailed test. For a 5% level of significance, the critical z-scores are -1.96 and 1.96. Since 1.51 is between -1.96 and 1.96, we cannot reject the null hypothesis, which means we cannot conclude that there is a significant difference between the two populations at the 5% level of significance.
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Name 4 points that would form a square with the origin at its center
The points that would form a square are (2, 2), (2, -2), (-2, 2), (-2, -2)
Naming the points that would form a squareFrom the question, we have the following parameters that can be used in our computation:
Forming a square
As a general rule
A square has equal sides and the angles at the vertices are 90 degrees
Since it must make a point with origin at its center, then the center must be (0, 0)
So, we have the following points (2, 2), (2, -2), (-2, 2), (-2, -2)
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B
Problem Solving
HABITS
measure of
Be Precise Describe the rays of an angle that has a measure of 1/2 turn
The rays of the angle from the measure 1/2 turn is 180 degrees
Describing the rays of the angle from the measureFrom the question, we have the following parameters that can be used in our computation:
Angle measure = 1/2 turn
By definition, rays have two endpoints where they extend indefinitely on one of the endpoints
As a general rule, we have
a full turn = a full circle = 360°half a turn = 180°Substitute the known values in the above equation, so, we have the following representation
Angle measure = 1/2 * 360
Evaluate
Angle measure = 180
Hence, the angle measure is 180 degrees
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The p-value is _____ or less if the chi-square statistic is 2.71 or more.
Without the degrees of freedom, we cannot provide a specific p-value. If the chi-square statistic is 2.71 or more, the p-value will be equal to or less than the value corresponding to 2.71 in the chi-square distribution table for the given degrees of freedom.
1. The chi-square statistic is a measure of the difference between observed and expected frequencies in a contingency table. When the observed frequencies are similar to the expected frequencies, the chi-square statistic is low. When they are different, the chi-square statistic is high.
2. The p-value is a probability that indicates how likely it is to observe a chi-square statistic as extreme as the one obtained, assuming the null hypothesis (i.e., no association between the variables) is true. A lower p-value means there is stronger evidence against the null hypothesis, suggesting an association between the variables.
3. To determine the p-value corresponding to a chi-square statistic of 2.71, you would look up the value in a chi-square distribution table or use statistical software. The p-value depends on the degrees of freedom, which is determined by the size of the contingency table.
Without the degrees of freedom, we cannot provide a specific p-value. However, if the chi-square statistic is 2.71 or more, the p-value will be equal to or less than the value corresponding to 2.71 in the chi-square distribution table for the given degrees of freedom.
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How do you find the answer to this
(3+-/7)2
In radical
The solutions in radical form is
16 + 6√7 16 - 6√7How to solve in radical formThis is of the form
(3 ± √7)²
Then we have to write this in two cases such that
Case 1: (3 + √7)²
Case 2: (3 - √7)²
Solve the first case
(3 + √7)²
(3 + √7)(3 + √7)
= 3² + 2(3)(√7) + (√7)² =
9 + 6√7 + 7
= 16 + 6√7
Next we have to solve for case 2
(3 - √7)²
(3 - √7)(3 - √7)
= 3² - 2(3)(√7) + (√7)²
= 9 - 6√7 + 7
= 16 - 6√7
The values and solutions would be:
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Cos (90°-0) / sin (180°- 0) - sin^2 (-0)
The answer to the mathematical expression of Cos (90°-0) / sin (180°- 0) - sin^2 (-0) is:
= -1
How to calculate the expressionTo calculate the expression, we can begin by determining the values and subtracting or dividing as is the case. First, we begin by determining the values as follows:
Cos 90° = 0
Cos 0 = 1
Sin 180° = 0
Sin -0 = 0
Now we express the values as follows:
Cos (90°-0) / sin (180°- 0) - sin^2 (-0)
0 - 1/0 - 0
= -1
So, the answer obtained from resolving this expression is -1.
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expinential function alg 1 help
The missing part of the table is completed as shown below
x y
-1 1 / 6
0 1
3 216
What is an exponential function?Exponential function is a function of the form f(x) = a(b)^x
Considering the given problem,
the starting = a
the base = b
the exponents = x
Using the formula, y = 6^x the table is completed by substitution
for x = -1
y = 6^(-1) = 1/ 6
for x = 0
y = 6^(0) = 1
for x = 3
y = 6^(3) = 216
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