Answer:
Variable
Step-by-step explanation:
A pollster for an election believes that the age group and socio-economic class of a voter may be factors that affect the extent to which that voter will agree with a new range of policies of the current government. A two-way ANOVA test is conducted to test this. Three hypotheses are tested: Test 1 relates to whether age group is a significant factor, Test 2 relates to whether socio-economic class is a significant factor, and Test 3 relates to interaction between these two factors. The levels of age group tested are 18 to 39, 40 to 55, and over 55. The levels of socio-economic class being tested are lower class, middle class, and upper class.
In the ANOVA test, the pollster does not reject the null hypothesis in Test 1, rejects the null hypothesis in Test 2, and does not reject the null hypothesis in Test 3. The following table presents four statements relating to this ANOVA test and socio-economic class as a factor in voter agreement with the new government policies. For each statement, select whether it can be concluded from the ANOVA test or cannot be concluded from the ANOVA test. a) On average, people in the middle class agree with the new government policies to a different extent than people in the upper class. Can conclude ___ Cannot conclude____
b) All of the socio-economic classes are different in relation to the average extent of voter agreement with the new government policies. Can conclude ___ Cannot conclude____
c) All of the socio-economic classes are the same in relation to the average extent of voter agreement with the new government policies. Can conclude ___ Cannot conclude____
d) At least one of the socio-economic classes is different to the rest in relation to the average extent of voter agreement with the new government policies
Can conclude ___ Cannot conclude____
a) Yes given statment concluded from the ANOVA test
b) No given statment cannot concluded from the ANOVA test
c) No given statment cannot concluded from the ANOVA test
d) Yes given statment concluded from the ANOVA test
a) On average, people in the middle class agree with the new government policies to a different extent than people in the upper class.
Can conclude: Yes, this can be concluded from the ANOVA test, as the null hypothesis was rejected in Test 2, indicating that there is a significant difference between at least two levels of socio-economic class.
b) All of the socio-economic classes are different in relation to the average extent of voter agreement with the new government policies.
Cannot conclude: No, this cannot be concluded from the ANOVA test, as Test 3 did not reject the null hypothesis, indicating that there is no significant interaction effect between age group and socio-economic class.
c) All of the socio-economic classes are the same in relation to the average extent of voter agreement with the new government policies.
Cannot conclude: No, this cannot be concluded from the ANOVA test, as Test 2 rejected the null hypothesis, indicating that there is a significant difference between at least two levels of socio-economic class.
d) At least one of the socio-economic classes is different to the rest in relation to the average extent of voter agreement with the new government policies.
Can conclude: Yes, this can be concluded from the ANOVA test, as Test 2 rejected the null hypothesis, indicating that there is a significant difference between at least two levels of socio-economic class.
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Consider the following vectors in R3:u=(1,1,3) , v=(2,3,k) and w=(k,6,14)Based on the information above, determine, if it exists, the value or values of the parameter k such that the vectors u, v, and w are linearly independent.
Remember that
You can verify if a set of vectors is linearly independent by computing the determinant of a matrix whose columns are the vectors you want to check.
They are linearly independent if, and only if, this determinant is not equal to zero.
so
we have
\(\begin{bmatrix}{1} & {2} & {k} \\ {1} & {3} & {6} \\ {3} & {k} & {14}\end{bmatrix}\)The determinant of the given matrix is calculated as
\(Det=(1)*det\begin{bmatrix}{3} & {6} \\ {k} & {14}\end{bmatrix}-(2)*det\begin{bmatrix}{1} & {6} \\ {3} & {14}\end{bmatrix}+(k)*det\begin{bmatrix}{1} & {3} \\ {3} & {k}\end{bmatrix}\)\(Det=(1)*[14*3-6*k]-(2)*[14*1-6*3]+(k)*[k*1-3*3]\)\(\begin{gathered} Det=(1)*[42-6k]-(2)*[14-18]+(k)*[k-9] \\ Det=42-6k+8+k^2-9k \\ Det=k^2-15k+50 \end{gathered}\)Equate to zero the quadratic equation
\(k^2-15k+50=0\)Solving by the formula
a=1
b=-15
c=50
\(k=\frac{-(-15)\pm\sqrt{-15^2-4(1)(50)}}{2(1)}\)\(k=\frac{15\pm5}{2}\)The values of k are
k=10 and k=5
Therefore
The values of k are 5 and 10Given the diagram below, what is
cos(45*)?
8 √2
450
Triangle not drawn to scale
O A. 1/√2
O B. 2 √2
O C. 4 √2
O D. √2
The value of cos(45°) is √2/2. The correct answer choice is D. √2.
In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.
Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.
Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:
cos(45°) = x/(x√2) = 1/√2
Simplifying further, we rationalize the denominator:
cos(45°) = 1/√2 * √2/√2 = √2/2
Therefore, the value of cos(45°) is √2/2.
The correct answer choice is D. √2.
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VERB TENSE!!
PLEASE HELP
For each of the following sentences, identify whether the verb tenses are helping convey time, sequence, condition, or state.
1. We walk through the forest in search of tree kangaroos.
2. We flew to Papua New Guinea and will drive to the camp.
3. The men had to capture the animal before examining it.
5. I will be delighted to be done with this project.
Answer:
1 verb:walk present tence
2 verb:flew past tence
3 verb:had past tence I think
4 verb:will future tence
which number line shows the solution to x + 8 > 15
7 is not included and hence it is depicted on the number line using an open dot. Hence, solution to the inequality is option B.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
The given inequality is:
x + 8 > 15
Subtracting 8 on both sides of the equation:
x + 8 - 8 > 15 - 8
x > 7
Here, 7 is not included and hence it is depicted using an open dot.
Hence, option B is the correct answer.
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A higher education research Institute at UCLA collected data from 203,967 incoming first time full-time freshman students from 274 year colleges and universities in the US 71.3% of those students reply that yes they believe that same sex couples should have the right to legal marital status suppose you randomly pick six first time full-time freshman from the survey you are interested in the number that believe the same sex couple should have the right to legal marital status what is the probability that at least two of the freshman reply yes
Answer:
This is a binomial distribution problem with n = 6, p = 0.713, and q = 1 - p = 1 - 0.713 = 0.287. We want to find the probability that at least two of the six freshman reply "yes."
Using the binomial probability formula, we can calculate the probability of each possible outcome:
P(X = 0) = (6 choose 0) * 0.713^0 * 0.287^6 = 0.0022
P(X = 1) = (6 choose 1) * 0.713^1 * 0.287^5 = 0.0262
P(X = 2) = (6 choose 2) * 0.713^2 * 0.287^4 = 0.1283
P(X = 3) = (6 choose 3) * 0.713^3 * 0.287^3 = 0.2822
P(X = 4) = (6 choose 4) * 0.713^4 * 0.287^2 = 0.3076
P(X = 5) = (6 choose 5) * 0.713^5 * 0.287^1 = 0.1786
P(X = 6) = (6 choose 6) * 0.713^6 * 0.287^0 = 0.0458
To find the probability that at least two of the six freshman reply "yes," we need to add the probabilities of the outcomes where X is greater than or equal to 2:
P(X >= 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)
= 0.1283 + 0.2822 + 0.3076 + 0.1786 + 0.0458
= 0.9425
Therefore, the probability that at least two of the six freshman reply "yes" is approximately 0.9425, or 94.25%.
9 1/8 divided by 2/3
Answer:
219/16
Step-by-step explanation:
Lana and Jeff each randomly surveyed 15 students about their favorite types of movies. Are these samples representative of the school population? Explain.
No, the samples are not large enough to be representative.
Yes, both samples are random, so they are representative.
No, the samples might include some of the same people, so they are not representative.
Yes, the samples do not include the same people, so they are representative.
Answer:
D but see below.
Step-by-step explanation:
This question is badly thought out. 15 might be enough to be representative if the school only contains about 100 people.If B is true then it would be the answer.If D was true, it would be the answer. If C was true, it could be the same answer.So you have a question that has no clear answer. If Jeff took grade 11 and Lana took grade 12, that would make the answer much clearer. At least there would be no duplicates.
If you could refine the question a little more, you might get a clearer answer. I don't think this question should be asked and I sure don't think you should try and give an answer.
However that's not how schools work. So I would pick D, but by some bizarre method, the asker (like edge) might think of a way to make A B or C true.
What linear function has the same y-intercept as the one that is represented by the graph?
The 3rd answer, y = 2x + 3
The graph has a y-intercept of positive 3. The y-intercept is when x is equal to 0 on the line.
A basketball team has 12 players. For the last game of the season the coach will randomly select 5 players to start the game. The first player selected is the center, the second player selected is the power forward, the third player selected is the forward, the fourth player selected is the shooting guard, and the fifth player selected is the point guard. Determine the number of different ways the coach can pick up he line of the game
The number of different ways the coach can pick up the line of the game is 792 ways
Step-by-step explanation:
Let n- number of players, r-selection of players.
We can select them using Combination: nCr = 12C5
Combination formula nCr =\(\frac{n!r!}{ (n-r)!}\) = 12C5 = \(\frac{12!5!}{(12-5)! }\)
=\(\frac{12!5!}{ 7!}\)
= 792ways
The number of different ways the coach can pick up the line of the game is 792 ways.
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This table displays the height of a balloon as it floats away. A 2-column table with 6 rows. Column 1 is labeled Time (minutes) with entries 10, 11, 12, 13, 14, 15. Column 2 is labeled Height (feet) with entries 64, 73.5, 83, 92.5, 102, 111.5. What is the rate of change for the height as the time increases by 1 minute? Rate of change = Which table shows a constant rate of change of –3? A 2-column table with 4 rows. Column 1 is labeled x with entries 3, 4, 5, 6. Column 2 is labeled y with entries negative 8, negative 5, negative 2, 1. A 2-column table with 4 rows. Column 1 is labeled x with entries 15, 16, 17, 18. Column 2 is labeled y with entries 12, 9, 7, 4. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, negative 1, 0, 1. Column 2 is labeled y with entries negative 9, negative 12, negative 16, negative 20. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 22, negative 21, negative 20, negative 19. Column 2 is labeled y with entries 2, negative 1, negative 4, negative 7.
Using the average rate of change concept, we have that:
The rate of the height is of 9.5 feet per minute.The table with a rate of -3 is given by: A 2-column table with 4 rows. Column 1 is labeled x with entries negative 22, negative 21, negative 20, negative 19. Column 2 is labeled y with entries 2, negative 1, negative 4, negative 7.What is the average rate of change of a function?The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:
\(r = \frac{f(b) - f(a)}{b - a}\)
For item 1, when the time in minutes changes by 1, the height changes by 9.5 units, hence the rate is given by:
r = 9.5/1 = 9.5 feet per minute.
For item 2, we want a table with a rate of -3, hence, when the first column changes by 1, the second column should always change by -3, hence the table is:
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 22, negative 21, negative 20, negative 19. Column 2 is labeled y with entries 2, negative 1, negative 4, negative 7.
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The solution of the equation 3x + 4 =1 is a) 1 b) 0 c) -1 d) 2
Hello!
3x + 4 = 1
3x + 4 - 4 = 1 - 4
3x = -3
3x/3 = -3/3
x = -1
The solution of the equation 3x + 4 = 1 is -1.
The answer is:
C) x = -1
Work/explanation:
To solve this equation, I subtract 4 from each side:
\(\sf{3x+4=1}\)
Subtract :
\(\sf{3x=-3}\)
Divide each side by 3:
\(\sf{x=-1}\)
Hence, C is correct.
Employee Earnings per
month($)
1
1,200
2
2,600
3
1,800
4
1,450
5
3,500
6
2,800
7
12,500
8
3,200
Answer:
actually its depend on how is he working day by day
What is the distance between point T (-5,1) and point I (-1,1)
The distance between point T (-5, 1) and point I (-1, 1) is 4 units.
To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:
Distance = √((x2 - x1)² + (y2 - y1)²)
Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):
x1 = -5, y1 = 1 (coordinates of point T)
x2 = -1, y2 = 1 (coordinates of point I)
Plugging these values into the formula, we have:
Distance = √((-1 - (-5))² + (1 - 1)²)
= √(4² + 0²)
= √(16 + 0)
= √16
= 4
Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.
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Find the volume of the following figure
what is answer to this question please help
Answer:
5 > \(\sqrt{18\)
Step-by-step explanation:
The square root of 18 is approximately 4.24.
5 is greater than 4.24, so we can use the inequality sign >.
Determine the measure of angle b, and describe the relationship between the two angles shown.
1:None of these
2:40 degrees; supplementary
3:40 degrees; complementary
4:130 degrees; complementary
5:130 degrees; supplementary
Answer:
b=130°
Step-by-step explanation:
The relationship between these two angles is about the fact that they are supplementary
i.e their sum is 180°
Extrema interpreting functions
Answer:
In mathematics, the extrema of a function refer to the maximum and minimum values that the function can take on. These values can be local extrema, which occur within a certain range of the function, or global extrema, which are the maximum and minimum values over the entire domain of the function.
To find the extrema of a function, one can use a variety of techniques, such as taking the derivative of the function and setting it equal to zero to find the points of stationary values, or using the second derivative test to determine whether a stationary point is a local maximum or minimum.
Interpreting the extrema of a function can provide valuable information about the behavior of the function. For example, the global maximum of a function might represent the highest possible value that the function can attain, while the global minimum might represent the lowest possible value. Local extrema can also be important, as they can indicate changes in the slope or concavity of the function, which can have important implications for applications such as optimization or modeling real-world phenomena.
the Pythagorean theorem is true for
a. true for all triangles
b. true for all right triangle
c. true for some right triangles
d. never true
It’s true for all right triangles.
What is the project percentage decrease in the combined consumer goods import for both countries between Y and Y + 4? O 25% O 33% O 40% O 48% O 55%
The project percentage decrease in the combined consumer goods import for both countries between Y and Y+4 is option (b) 33%.
To calculate the percentage decrease in the combined consumer goods import between years Y and Y+4, we first need to calculate the difference between the imports in those years.
The difference in imports is
300 - 450 = -150
Since the difference is negative, this means that there was a decrease in imports between those years.
To calculate the percentage decrease, we need to divide the difference by the initial value (imports at Y) and multiply by 100
Percentage decrease = (difference / initial value) x 100
Percentage decrease = (-150 / 450) x 100
Percentage decrease = -33.33%
Therefore, the correct option is (b) 33%.
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The given question is incomplete, the complete question is:
What is the project percentage decrease in the combined consumer goods import for both countries between Y and Y + 4? at Y = 450 , at Y+4 = 300. a) 25% b) 33% c) 40% d) 48% e) 55%
Question 5 of 10
A sample of 50 11th graders were asked to select a favorite pattern out of 6
choices. The following display shows what their favorite color patterns were.
The counts have been recorded in the accompanying table according to
pattern and the number of students who selected that pattern.
35
23
B.
205
B
A. Graph A
B. Graph B
OC. Graph C
OD. Graph D
E. Graph E
PERSE
Color Pattern
Blue on gray
Green
D.
Pink polka dots
Purple
Red and orange
stripes
Yellow
These data can be graphically displayed as a bar graph. Which graph below
correctly displays the data from the list and the table?
Frequency
4
E
9
14
11
3
The bar graph that correctly displays the data from the list and the table is Graph D.
What is a bar graph?A bar chart, often known as a bar graph, is a diagram that displays categorical data as rectangular bars with heights or lengths proportional to the values they stand for.
You can plot the bars either vertically or horizontally.
Considering the data given:
Blue on gray - 3Green - 6Pink polka dots - 9Purple - 6Red and orange stripes - 4Yellow - 2The correct bar graph is D.
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Victoria took a test and got 80% of the questions right. She answered 20 questions correctly. How many questions were on the test?
Answer:
25 questions :D
Step-by-step explanation:
Michelle is selling notebooks to her classmates so they can be organized in Math class.
• Each box contains 20 notebooks
• Each box of notebooks cost $30
Michelle wants to make a profit of $20. How much does she need to sell her notebooks to make a profit of $20?
How much does she need to sell her notebooks to make a profit of $20?
Answer:
680
Step-by-step explanation:
NO LINKS!! URGENT HELP PLEASE!!
Please help me with #11. I plotted the points, the rest of the questions I need help with
Answer:
Not parallelogram
Step-by-step explanation:
points A(-4, 1), B(1,3), C(8, -1) and D(4, -3).
The slope of a line can be found using the following formula:
Slope \(m= = \frac{(y_2 - y_1) }{(x_2 - x_1)}\)
where (x1, y1) and (x2, y2) are the coordinates of two points on the line.
Using the formula above,
Side AB: Slope =\(\frac{3-1}{1-(-4)}=\frac{2}{5}\)
Side BC: Slope =\(\frac{-1-3}{8-1}=\frac{-4}{7}\)
Side CD: Slope =\(\frac{-3 - (-1)}{4 - 8}= \frac{1}{2}\)
Side DA: Slope =\(\frac{-3 - 1}{4 - (-4)}= \frac{-1}{4}\)
Since The slopes of opposite sides are equal,
Therefore ABCD is not Parallelogram:
Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.
-x - 5 = -2^(-r) + 2
Answer:
answer is 1
Step-by-step explanation:
Answer:
x ≈ -2.25
hope this helps :D
Find the orthocenter for the triangle described by each set of vertices.
K (3.-3), L (2,1), M (4,-3)
Plzz help ASAP!!!
I'll give brainliest if ur correct
Answer:
(2, - 3.5)
Step-by-step explanation:
K(3, - 3)
L(2, 1)
\(m_{KL}\) = \(\frac{-3-1}{3-2}\) = - 4
Slope of perpendicular line is \(\frac{1}{4}\)
y - 1 = - 4(x - 2) ⇔ y = - 4x + 9
Equation of the perpendicular to KL from point M(4, - 3) is
y - (- 3) = \(\frac{1}{4}\) (x - 4) ⇔ y = \(\frac{1}{4}\) x - 4 ....... (1)
L(2, 1)
M(4, - 3)
\(m_{LM}\) = \(\frac{-3-1}{4-2}\) = - 2
Slope of perpendicular line is \(\frac{1}{2}\)
y - 1 = - 2(x - 2) ⇔ y = - 2x + 5
Equation of the perpendicular to LM from point K(3, - 3) is
y + 3 = \(\frac{1}{2}\) (x - 3) ⇔ y = \(\frac{1}{2}\) x - 4.5 ....... (2)
The coordinates of the intersect of lines (1) and (2)
\(\frac{1}{2}\) x - 4.5 = \(\frac{1}{4}\) x - 4 ⇒ \(\frac{1}{4}\) x = 0.5 ⇒ x = 2
y = \(\frac{1}{2}\) (2) - 4.5 ⇒ y = - 3.5
(2, - 3.5)
A negative number on the x-axis (-a, b) would move in what direction?
A positive number on the x-axis (+a, b) would move in what direction?
A negative number on the y-axis (a, -b) would move in what direction?
A positive number on the y-axis (a, +b) would move in what direction?
Please answer for points and brainliest!
a) A negative number on the x-axis (-a, b) would move in the left direction by one unit.
To find out why, check point (0, b) on the y-axis and point (-a, b) on the x-axis.
The distance between these two points is a unit, meaning that the point (-a, b) is one unit to the left of the point (0, b).
b) A positive number on the x-axis (+a, b) would move in the right direction by a unit.
Again, let's look at the point (0, b) on the y-axis and the point (+a, b) on the x-axis.
The distance between the two points is also one unit, which means the point (+a, b) is one unit to the right of the point (0, b).
c) A negative number on the y-axis (a, -b) would move in the downward direction by b units.
Assume that point (a, 0) is on the x-axis and point (a, -b) is on the y-axis. The distance between them is b units, which means that the point (a, -b) is b units below the point (a, 0).
d) A positive number on the y-axis (a, +b) would move in the upward direction by b units.
Also, check the point (a, 0) on the x-axis and point (a, +b) on the y-axis. The distance between these two points is b units, which means that the point (a, +b) is b units above the point (a, 0).
What is a number?A number is a mathematical term used to show the quantity or value of a thing. It can be depicted using numerals, symbols, or words.
Examples include 30, hundred, -8, 6x, "5", 0.67, etc.
Numbers can be Positive - numbers greater than zero, or negative - numbers less than zero.
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Find the value of x and y in simplified radical form.
x and y have the values 7 and 7√2, respectively.
The sides of a right triangle with 45-degree acute angles have a unique ratio of 1:1:2.
We can use this information to determine the values of x and y because the base is specified as being 7.
Let's give the perpendicular side the value of x, and the hypotenuse the value of y.
The perpendicular side (x) and the base (7) have the same length because the acute angles are both 45 degrees.
Consequently, x = 7.
We can determine that x:y:2x using the ratio of 1:1:2.
When we enter the value of x, we may calculate y:
7:y:√2(7)
Simplifying even more
7:y:7√2
Given that the hypotenuse (y) equals 72, we can write:
y = 7√2
Thus, x and y have the values 7 and 7√2, respectively.
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A test is worth 125 points . How many points (rounded to nearest whole number ) are needed to obtain a score of 85%?
Step-by-step explanation:
You need to find 85% of 125 points :
85% * 125 = .85 * 125 = ~ 106 points
Must show work-Solve the conjunction and describe the solution set. −5 < 2x + 3 < 9
The solution set of the inequality −5 < 2x + 3 < 9 is (-4,3)
How to solve the inequality?The compound inequality is given as:
−5 < 2x + 3 < 9
Expand the inequality
−5 < 2x + 3 or 2x + 3 < 9
Rewrite as:
2x + 3 > -5 or 2x + 3 < 9
Subtract 3 from both sides
2x > -8 or 2x < 6
Divide both sides by 2
x > -4 or x < 3
Rewrite as:
(-4,3)
Hence, the solution set of the inequality is (-4,3)
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