Write the following quadratic function in standard form that passes through
(-9, 0), (2, 0), and (1, 10)? (Use intercept form)
Answers
Answer:
To write the quadratic function in standard form, we first need to determine its intercept form.
If a quadratic function passes through the points (-9, 0), (2, 0), and (1, 10), then its intercept form can be written as:
f(x) = A(x + 9)(x - 2)
where A is a constant that we need to determine.
To find the value of A, we can substitute the coordinates of the third point into the equation:
10 = A(1 + 9)(1 - 2)
10 = -10A
Dividing by -10 on both sides, we get:
A = -1
Substituting this value of A back into the intercept form, we get:
f(x) = -(x + 9)(x - 2)
Expanding this equation, we get:
f(x) = -x^2 - 7x - 18
This is now in standard form, which is:
f(x) = ax^2 + bx + c
where a = -1, b = -7, and c = -18.
Related Questions
Did americans work less than 40 hours a week on average in 1977? in 1977, the gss included questions about the number of hours that the respondent worked per week. The average number of hours worked per week was 34. 61 hours with a standard deviation of 14. 77 hours. A sample of 32 respondents was questioned. Find the test statistic.
Answers
The test statistic is, -2.06.
What is test statistic?
A programme and any related documentation are examined during static testing, a type of software testing that does not call for the programme to be run. Software testing also includes dynamic testing, which involves interacting with the application as it is being used.
Given: Americans work less than 40 hours a week on average in 1977?
In 1977, the GSS included questions about the number of hours that the respondent worked per week.
The average number of hours worked per week was 34. 61 hours with a standard deviation of 14. 77 hours.
A sample of 32 respondents was questioned.
So, the test statistics is,
Z = (x bar - μ)/(σ /√n)
= (34.61 - 40)/(14.77/sqrt(32))
Z = -2.06
Hence, the test statistics is -2.06.
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a government study is undertaken with the aim of determining the benefits of a new driver training scheme and whether it has a different outcome on over-25 years old learner drivers than for under-25 years old learner drivers. the training program is undertaken for a group of 80 learner drivers, half of which are under 25 years old, half are over 25 years old. then within each group of 40, half are randomly selected to participate in the new training program. the results are recorded and compared. this scenario is best described as an example of:
Answers
This scenario is best described as an example of an experimental study or a randomized controlled trial. In this study, the researchers are investigating the benefits of a new driver training scheme and specifically examining whether the outcome differs between two groups: learners under 25 years old and learners over 25 years old.
The study follows an experimental design by randomly assigning participants to different groups: half of the participants are under 25 years old, and the other half are over 25 years old. Within each group, further randomization takes place where half of the participants are selected to participate in the new training program.
By comparing the results between the group that received the training program and the group that did not, the researchers can assess the effectiveness and potential differences in outcomes based on age. This experimental approach allows for controlled comparisons and helps draw conclusions about the impact of the training program on different age groups of learner drivers.
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complete question
This scenario is best described as an example of a randomized controlled trial (RCT) or an experimental study. In this study, the researchers aim to determine the benefits of a new driver training scheme and whether it has different outcomes for over-25 years old learner drivers compared to under-25 years old learner drivers. The study involves a group of 80 learner drivers, with half being under 25 years old and half being over 25 years old. Within each age group, half of the participants are randomly selected to participate in the new training program, while the other half serve as the control group. The results of the study are recorded and compared between the groups. By randomly assigning participants and having a control group, the researchers can assess the effectiveness of the training program and analyze any differences in outcomes based on age.
The markup at Total Jewelry is 70%. If the wholesale price of a necklace is $130, what will the store charge as the retail price for the necklace?
Answers
Answer:
$221
Step-by-step explanation:
The original percent is always 100%. Add the markup, 70% to 100% to find the total percent charged.
100% + 70% = 170%
Change 170% to a decimal by moving the decimal two places left. 170% = 1.70
Multiply the decimal and the wholesale price.
$130 x 1.70 = $221
Answer: I am assuming that you are using edge so it is C. 221. The other person who answered it has a great explanation so you can go off of theirs.
Can someone help(explain how)
Answers
Answer:a,8
when you do this in the graph its quite clear that in won't turn into a square so I think you should imagine it as a triangle.
The following sample data refiect shipments recelved by a large firm from three different vendors and the quaily of those shipments (You moy find it useful to reference the appropriate table: chi-square table or Ftable) a. Select the competing hypotheses to detemine whether quality is associated with the source of the shipments. H0: Quality and source of shipment (vendof) are independent: H4: Quality and source of shipment (vendor) afe dependent H0 : Quality and source of stipment (vendoi) ate dependent: HA : Quality and source of shipment (vendor) are invependent. b-1. Calculate the value of the test statistic (Round intermediate colculations to of leost 4 decimal places and final answer to 3 decimal places.) b-2. Find the pialue: 0.05≤ pralue <0.10 0.025 s p-yalue <0.05 0.01≤p value <0.025
Answers
To determine whether quality is associated with the source of the shipments, we need to test the competing hypotheses.
The competing hypotheses are as follows:
H0: Quality and source of shipment (vendor) are independent.
HA: Quality and source of shipment (vendor) are dependent.
To test these hypotheses, we can use a chi-square test for independence. The test statistic is calculated by comparing the observed frequencies with the expected frequencies under the assumption of independence.
b-1. To calculate the test statistic, we first need to create a contingency table with the observed frequencies of quality and source of shipment. Each cell in the table represents the count of shipments from a specific vendor with a specific quality.
For example, the table could look like this:
| Vendor A | Vendor B | Vendor C
--------------------------------------------
Good Quality | 10 | 15 | 12
--------------------------------------------
Poor Quality | 20 | 25 | 18
Next, we calculate the expected frequencies assuming independence. The expected frequency for each cell is calculated by multiplying the row total by the column total and dividing by the total number of observations.
Finally, we calculate the chi-square test statistic by summing the squared differences between the observed and expected frequencies divided by the expected frequencies for each cell.
b-2. Once we have the test statistic, we can find the p-value associated with it. The p-value represents the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true.
To find the p-value, we need to consult the chi-square table or use a statistical software. The p-value will indicate the strength of evidence against the null hypothesis. The smaller the p-value, the stronger the evidence against the null hypothesis.
Based on the given options, the p-value falls within the range of 0.01 ≤ p-value < 0.025. Therefore, we reject the null hypothesis and conclude that there is evidence to suggest that quality and source of shipment are dependent.
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HEEEEEEEEEEEEEEELP ASAP
Answers
Answer:
X=11
Step-by-step explanation:
Vertical angles equal each other.
5x+10 = 7x -12
Then solve for x by placing all the X values on one side and the number values on the other side.
5x+10=7x-12
5x-7x=-12-10
-2x=-22
x=11
A football team consists of 20 each freshmen and sophomores, 15 juniors, and 10 seniors. Four players are selected at random to serve as captains. Find the probability that
Answers
On solving the provided question, we can say that Probability ( At least one of the students is a senior) = 0.4632 approx
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
P(All four players are senior) = 0.00033 approx
P(There is one each: freshman, sophomore, junior and senior) = 0.0944 approx.
P(There are 2 sophomores and 2 freshman) = 0.0568 approx
P( At least one of the students is a senior) = 0.4632 approx
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What is the third terms of the sequence defined by the re f(n) = f(n-1) + 4
Answers
Have a good day
Write each of the following sets of numbers in order of size, smallest first.
Use the symbol for'less than' in your answers.
0.7, 0.6, 0.8, 0.09, 1, 0.99. Please help.
Answers
Answer:0.09 < 0.6 < 0.7 < 0.8 < 0.99 < 1
Step-by-step explanation:
II. Computation \& Application - Budget Line (15pts) Tonyo is an employee who earns 30,000 php in 2021. He allots 15% of his salary to his grocery items. His grocery items are normally composed by 2 products, Meat and carbohydrates. In 2021, Pork is 20 php/ unit ; Carbohydrates is 30php/ unit and Fish is 15php/ unit. On year 2022, tonyo has still the same salary, however prices of groceries increased due to inflation by 10%. On year 2023, tonyo got a promoted and had a salary increased by 10%. Still due to inflation, prices of groceries increased by 10%. A) Graph Budget line on year 2021, considering pork and carbohydrates. Please show computations.5PTS B) Graph Budget line on year 2022, considering pork and carbohydrates. Please show computations.5PTS C) In year 2023, Tonyo decided to shift from pork to meat fish to save up for his marriage. Graph the budget line on year 2023 and show computations 5PTS
Answers
A) The coordinates (225, 0) and (0, 150) represent the combinations of pork and carbohydrates that Tonyo can purchase with his grocery budget.
B) Quantity of carbohydrates (Qc) = 136.36 units
A) Graph Budget line on year 2021, considering pork and carbohydrates:
To graph the budget line for year 2021, we need to calculate the quantity combinations of pork and carbohydrates that Tonyo can purchase with his allotted budget. Given that Tonyo allocates 15% of his salary to groceries and his salary is 30,000 PHP, his grocery budget for 2021 would be:
Grocery budget for 2021 = 0.15 * 30,000 PHP = 4,500 PHP
Let's assume that Tonyo spends all of his grocery budget on either pork or carbohydrates.
Assuming he spends all on pork:
Quantity of pork (Qp) = Grocery budget for 2021 / Price of pork = 4,500 PHP / 20 PHP = 225 units
Assuming he spends all on carbohydrates:
Quantity of carbohydrates (Qc) = Grocery budget for 2021 / Price of carbohydrates = 4,500 PHP / 30 PHP = 150 units
We can now graph the budget line with pork on the x-axis and carbohydrates on the y-axis. The coordinates (225, 0) and (0, 150) represent the combinations of pork and carbohydrates that Tonyo can purchase with his grocery budget.
B) Graph Budget line on year 2022, considering pork and carbohydrates:
In year 2022, prices of groceries increased by 10%. To calculate the new prices for pork and carbohydrates, we multiply the original prices by 1.10.
New price of pork = 20 PHP * 1.10 = 22 PHP
New price of carbohydrates = 30 PHP * 1.10 = 33 PHP
Using the same budget of 4,500 PHP, we can now calculate the new quantity combinations:
Quantity of pork (Qp) = Grocery budget for 2021 / New price of pork = 4,500 PHP / 22 PHP ≈ 204.55 units
Quantity of carbohydrates (Qc) = Grocery budget for 2021 / New price of carbohydrates = 4,500 PHP / 33 PHP ≈ 136.36 units
We can now graph the budget line for 2022, using the new quantity combinations.
C) Graph the budget line on year 2023, considering fish and carbohydrates:
In year 2023, Tonyo decided to shift from pork to fish. Let's assume that the price of fish remains the same as in 2022, while the price of carbohydrates increases by 10%.
Price of fish = 15 PHP
New price of carbohydrates = 33 PHP * 1.10 = 36.30 PHP
With a 10% increase in salary, Tonyo's new salary in 2023 would be:
New salary = 30,000 PHP * 1.10 = 33,000 PHP
Using the same grocery budget of 15% of his salary:
Grocery budget for 2023 = 0.15 * 33,000 PHP = 4,950 PHP
Let's calculate the new quantity combinations:
Quantity of fish (Qf) = Grocery budget for 2023 / Price of fish = 4,950 PHP / 15 PHP ≈ 330 units
Quantity of carbohydrates (Qc) = Grocery budget for 2023 / New price of carbohydrates = 4,950 PHP / 36.30 PHP ≈ 136.27 units
We can now graph the budget line for 2023, using the new quantity combinations.
Please note that the actual graphing of the budget lines would require plotting the points based on the calculated quantity combinations and connecting them to form the budget line. The computed quantities provided here are approximate and should be adjusted according to the specific graphing scale and precision desired.
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what are the mathematics behind how de's (differential equations) are used with real-world data? that is, how are the equations or mathematical concepts, themselves, utilized?
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Differential equations (DEs) are mathematical equations that describe the relationship between a function and its derivatives. DEs are used in many fields, including physics, engineering, economics, biology, and more, to model real-world phenomena.
The use of DEs in modeling real-world data involves several steps. First, the problem must be defined and the relevant variables and parameters identified. Next, a DE that describes the relationship between these variables and parameters is formulated. This DE can be based on empirical data, physical laws, or other considerations, depending on the specific application.
Once a DE is formulated, it can be solved using various techniques, such as separation of variables, numerical methods, or Laplace transforms. The solution to the DE gives the functional relationship between the variables of interest, which can then be used to make predictions or analyze the system.
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The data give the number of runs scored by opponents of the Boston Red Sox opponents in June 2010.
4, 4, 9, 0, 2, 4, 1, 2, 11, 8, 2, 2, 5, 3, 2, 5, 6, 4, 0
Make a dot plot for the data.
What is the mean?
Answers
In June 2010, the Boston Red Sox's opponents scored an normal of3.26 runs.
What's mean?The mean, generally appertained to as the computation mean or average, is a statistical measure of central tendency that's calculated by dividing the sum of a collection of figures by the total number of the figures in the set.
Mean = ( Sum of all the compliances Total number of compliances)
What Is the Median?The middle number in a sorted list of figures is appertained to as the standard. By arranging the figures, the middle number can be discovered. thrusting order is used to arrange the figures. The middle number in the ordered set of figures is appertained to as the data set's standard.
The fleck plot for the handed data is shown then
0 • •
1 •
2 • • • • • • •
3 • •
4 • • • •
5 • •
6 •
8 •
9 •
11 •
We add up all the values and peak by the total number of values to determine the mean
4 4 9 0 2 4 1 2 11 8 2 2 5 3 2 5 6 4 0 = 62
We divide the total by 19 because there are 19 values
62/ 19 ≈3.26
Hence, the Boston Red Sox's opponents scored an normal of3.26 runs in June 2010 against them.
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Find the determinant of the elementary matrix. (Assume k # 0.) 1 0 0 4k 1 0 0 0 1 I Find 141. Begin by finding 4, and then evaluate its determinant. Verify your result by finding (A) and then applying the formula 14-11- A [21] 14-¹1- Need Help? Readi
Answers
The given matrix is an elementary matrix that represents an elementary row operation of multiplying the second row by 4k. The determinant of this matrix is determinant of the original matrix, which is 4k.
Therefore, the determinant of the given elementary matrix is 4k.
To verify this result, we can also compute the determinant using the formula for a 3x3 matrix. The matrix obtained by applying the elementary row operation to the identity matrix is:
\(\left[\begin{array}{ccc}1&0&0\\0&4k&0\\0&0&1\end{array}\right]\)
The determinant of this matrix is calculated as: det(A) = 1 * (4k) * 1 - 0 * 0 * 0 - 0 * (4k) * 0 = 4k. So, the determinant of the given elementary matrix is indeed 4k, which matches our previous result.
In summary, the determinant of the elementary matrix is 4k, and this can be verified by calculating the determinant using the formula for a 3x3 matrix.
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For a group of high school students, the correlation between math sat score and total sat score is about r = 0.9935. what can be said about r2? note: r2 = 0.987.
Answers
Math SAT scores explain about 98.7% of the variation in the total SAT scores.
What is a correlation?In statistics, correlation or dependence exists as any statistical relationship, whether causal or not, between two random variables or bivariate data.
A correlation exists as a statistical measure (expressed as a number) that defines the size and direction of a relationship between two or more variables. A correlation between variables, however, does not automatically mean that the change in one variable exists as the cause of the change in the values of the other variable.
Since r² exists = (0.9935)² = 0.9870, we interpret r² as 98.7% of the variation in the y variable exists explained by the x variable.
In context, math SAT score explains about 98.7% of the variation in total SAT score.
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To get the total magnification take the power of the objective (4X, 10X, 40x) and multiply by the power of the eyepiece, usually 10X.
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It is TRUE that If you want to calculate the total magnification, take the power of the objective (4X, 10X, 40x) and multiply by the power of the eyepiece, usually 10X.
If you want to get the total magnification of a microscope, you need to multiply the magnification of the objective lens by the magnification of the eyepiece lens. The objective lens typically has a magnification of 4X, 10X, or 40X, and the eyepiece lens usually has a magnification of 10X. So, for example, if you are using a 10X objective lens and a 10X eyepiece lens, the total magnification would be 10 × 10 = 100X.
On the other hand, these numbers may be the total magnification for a lower powered stereomicroscope. 10X and 40X are achievable with 10X eyepieces and 1X or 4X objective lenses. Or it can be a zoom stereomicroscope with zoom set to 1X and 4X and 10X eyepieces. To get a total of 4X, you can use the 0.8X zoom setting (which is common) plus the 5X eyepiece. Or you can use the 0.5x auxiliary lens, 0.8x zoom and 10x eyepieces.
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Complete Question:
True, or False
To get the total magnification take the power of the objective (4X, 10X, 40x) and multiply by the power of the eyepiece, usually 10X.
Use the screen shot- that has the question on it :)
Answers
Answer:
C
Step-by-step explanation:
This looks like a case of multiplying the number of X's by the respective number below it.
For example: the 1/2 has 3 X's, so we multiple (1/2)(3), making it (3/2) or 1.5
Next is the 1 having 2 X's, so (2)(1) is 2
Continuing that trend we get the following
1.5, 4, 2.5, and 3.
So all of our totals are 1.5, 2, 1.5, 4, 2.5, and 3.
Our last step will be adding all these answers together.
1.5 + 2 = 3.5
+ 1.5 = 6
+ 4 = 10
+ 2.5 = 12.5
and finally +3 = a grand total of 15.5 or 15 1/2
A 12 foot ladder is leaning up against the side of a building. The bottom of the ladder is 4 feet away from the bottom of the building Approximately how high up the side of the building does the ladder reach? 8 ft 10 ft 11 ft 12 ft
Answers
You can use the Pythagoras theorem for this since a right triangle is formed.
\(c^2 = a^2 + b^2\)
C = 12
A = 4
B = x
Input values:
\(12^2 = 4^2 + x^2\)
\(144 = 16 + x^2\)
\(128 = x^2\)
\(x = \sqrt{128}\)
\(x = 11.3137...\)
So, about 11ft.
how many different 2-person conversations would happen at a party of 30 people
Answers
please help! due in less than 20 mins. please !! thank you so much
what is x?
A. 28
B. 44
C. 136
D. 224
(and pls get y also)
Answers
Answer:
it is B i am so sorry i calculated wrong but i got it now sorry again
Step-by-step explanation:
and i cant answer y because you didnt give a seperate question. please make one for y so i can answer it :)
Answer:
x=44
Step-by-step explanation:
add 82 and 54 which is 136
then 180 minus 136 because triangles always equal 180°
Reflect the triangle over the y-axis and find the coordinate of the image of point K.
K’(2, 1)
K’(–2, 1)
K’(–2, –1)
K’(2, –1)
Answers
K'(-2, 1) is the coordinate of the image of point K, found by multiplying the original x-coordinate of the point K (2) by -1. To reflect the triangle over the y-axis, the x-coordinate of each point is multiplied by -1.
What is triangle?Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.
The coordinate of the image of point K is K’(-2, 1). This means that the x-coordinate of the point is -2 and the y-coordinate of the point is 1. This can be found by multiplying the original x-coordinate of the point K (2) by -1. The y-coordinate of point K remains the same, so the y-coordinate of the image of point K is 1.
Therefore, the coordinate of the image of point K is K’(-2, 1).
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I have exam tomorrow solve this please
Answers
Answer:
Hey Hun
since,the sum of all the angles of a triangle=180°
so ...X=180°-(45+55)
X=180-100=80°
Step-by-step explanation:
45+55 +x=180
x=180-100
x=80
plz make me brainliest
given your answer to (i), if jim chooses to buy 4 pints of beer and 9 cups of coffee, what must be the ratio of the price of pints of beer to the price of cups of coffee?
Answers
The ratio of the price of pints of beer to the price of cups of coffee if Jim chooses to buy 4 pints of beer and 9 cups of coffee is: b/c = 4b/9c , b/c = 1.125
Jim bought 3 pints of beer and 7 cups of coffee for $14, and the ratio of the price of pints of beer to the price of cups of coffee is 2:3,
To determine the cost of one pint of beer and one cup of coffee, let's solve the system of equations.
2b + 3c = 7 (dividing both sides of the equation by 7)
2b/7 + 3c/7 = 1b/3.5 + c/2.333
= 1b + 1.5c
= 4.666... (dividing both sides of the equation by 3.5)
b/3.5 × 4 + c/2.333 × 9
= 14b/0.875 + c/0.259
= 14.666...
Therefore, the ratio of the price of pints of beer to the price of cups of coffee if Jim chooses to buy 4 pints of beer and 9 cups of coffee is:
b/c = 4b/9c (multiplying both sides by 9c)
b/c = 1.125
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Consider a DFA over ∑={a,b} accepting all strings which have number of
a’s divisible by 6 and number of b’s divisible by 8. What is the number
of states that the DFA will have? [ ]
A) 8 B) 14 C) 15 D) 48
18. What is the minimum number of states in the NFA accepting the
language {a, ab} ? [ ]
A) 3 B) 2 C)1 D) 4
19. What is the number of states in NFA which accepts set of all strings in
which the third last symbol is ‘a’ over alphabet {a, b}? [ ]
A) three B) four C) six D) five
Answers
The minimum number of states in the NFA accepting the language {a, ab} is 3. The NFA that accepts strings where the third-last symbol is 'a' over the alphabet {a, b} has five states.
For the DFA accepting strings with a number of 'a's divisible by 6 and 'b's divisible by 8, we can use the principle of the product construction. Since we need to consider both divisibility by 6 and divisibility by 8, the DFA will have states corresponding to all possible remainders when dividing the count of 'a's by 6 and the count of 'b's by 8. The remainders can range from 0 to 5 for 'a' and 0 to 7 for 'b', resulting in a total of 6 * 8 = 48 states. However, some states may be equivalent, so we can apply minimization techniques such as the Hopcroft's algorithm or table-filling algorithm to reduce the number of states. After minimization, the DFA will have 15 states (option C).
For the NFA accepting the language {a, ab}, we need to consider all possible transitions for each symbol in the alphabet. In this case, we have two symbols, 'a' and 'b'. The NFA should have states corresponding to different combinations of these symbols, including the empty string. We can start with an initial state and create transitions for 'a' and 'ab' accordingly. Since we have three possible transitions for 'a' (i.e., to a state accepting 'a', to a state accepting 'ab', or to a dead state), and one transition for 'ab' (to a state accepting 'ab'), the minimum number of states in this NFA is 3 (option A).
For the NFA accepting strings where the third-last symbol is 'a', we can again use the principle of the product construction. We need to consider the position of the third-last symbol in the string, which can be either 'a' or 'b'. The NFA will have states representing the different possibilities for the third-last symbol, including 'a' or 'b' as the third-last symbol. Since we have two possible transitions for each symbol in the alphabet ('a' or 'b') and three possible positions for the third-last symbol, the NFA will have a total of 2 * 3 = 6 states. However, we also need to consider the possibility of an empty string, which adds one more state. Hence, the NFA will have a total of 6 + 1 = 7 states (option D).
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what values are specified by the null hypothesis for the chi-square test for goodness of fit? a. proportions for the entire population. b. proportions for the sample. c. frequencies for the entire population. d. frequencies for the sample.
Answers
The null hypothesis in a chi-square test for goodness of fit involves frequencies for the entire population, not just proportions or frequencies for the sample. c.
In a chi-square test for goodness of fit, the null hypothesis specifies the expected frequencies or counts for different categories in the entire population being studied.
The test compares the observed frequencies in the sample to the expected frequencies under the null hypothesis to determine if there is a significant difference between the observed and expected distributions.
The chi-square test for goodness of fit assesses whether the observed frequencies in the sample deviate significantly from the expected frequencies specified by the null hypothesis for the entire population. The test evaluates if the observed data supports or contradicts the null hypothesis, which assumes that the observed frequencies follow a specific distribution or proportions.
The null hypothesis in a chi-square test for goodness of fit defines the predicted frequencies or counts for various categories in the total population under investigation.
The test determines if there is a significant discrepancy between the observed and predicted distributions by comparing the observed frequencies in the sample to the anticipated frequencies under the null hypothesis.
The chi-square test for goodness of fit determines if the sample's observed frequencies differ noticeably from the null hypotheses' predicted frequencies for the overall population.
The null hypothesis, which holds that the observed frequencies follow a particular distribution or proportions, is assumed in the test, and it is determined if the observed data supports or refutes it.
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the coordinates of a quadrilateral composed in the first coordinate plane are (0,0), (0,b), (a,b) and (a,0). if a does not equal b, what is the most accurate classification of the quadrilateral
Answers
The quadrilateral described by the coordinates (0,0), (0,b), (a,b), and (a,0) in the first coordinate plane, where a is not equal to b, is a rectangle due to its right angles and equal opposite sides.
The quadrilateral described by the coordinates (0,0), (0,b), (a,b), and (a,0) in the first coordinate plane, where a is not equal to b, is actually a rectangle.
A rectangle is a quadrilateral with four right angles (90-degree angles). In this case, the sides connecting (0,0) to (0,b) and connecting (a,0) to (a,b) are vertical and have the same length of b, while the sides connecting (0,0) to (a,0) and connecting (0,b) to (a,b) are horizontal and have the same length of a. Thus, all four angles of the quadrilateral are right angles.
Since the opposite sides of the quadrilateral are parallel and equal in length, and all angles are right angles, the most accurate classification for this quadrilateral is indeed a rectangle.
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There are 2144 chickens and ducks in a farm. The total number or chickens and cows are 1456. The are 5 times as many ducks as cows. The farmer sells each chicken for 12 dollars. How much will he earn by selling all his chickens?
Answers
Answer should be 21
=
189
9
=
21
What is the value of x in the equation 2x + 3 = 11?
Answers
Answer:
2x4=8+3=11
Step-by-step explanation:
first multiply 2 times 4 equals 8 and add 3 which equals 11.
you can infer causality from a correlational result, but only when the r value is greater than
a.0
b.0.5
c.1
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A correlational result can be used to infer causality, but only if the value of r is greater than 0.
What is infer causality?In statistics, a correlation coefficient is a measure of the strength and direction of the linear relationship between two variables. A positive correlation coefficient implies that two variables are related (as one variable increases, so does the other), whereas a negative correlation value shows that two variables are inversely related (as one variable increases, the other decreases).A correlation value of zero shows that no relationship exists between two variables. However, a correlation coefficient greater than 0 does not imply causality, meaning that it cannot be concluded that one variable causes changes in the other variable. Establishing causality requires additional evidence and methods such as experimental designs or causal inference techniques.To learn more about infer causality refers to:
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Help I don't know how to do this
Answers
Answer:
Step-by-step explanation:
a(n) = a(1) + (n-1)d
a(n) = -9 + (n-1) x (-6-(-9)
a(n) = -9 + (n-1) x (-6 +9)
a(n)= -9 + (n-1) x 3
a(n) = -9 + 3n - 3
a(n) = 3n - 12
a(30) = 3 x 30 - 12
a(30) = 90 - 12
a(30) = 78
every month, noah takes home around $2,000. he uses $1,000 to cover his share of rent, utilities, transportation, and groceries. he uses around $650 on entertainment, eating out with friends, and other incidentals. the other $350, he divides between saving for emergencies and paying his student loans. what money management strategy is noah using?
Answers
Noah is using the 50/30/20 budgeting money management strategy
What is money management?
Money management in mathematics is the application of mathematical principles and techniques to the management of personal or corporate money. It entails the use of mathematical tools like equations, graphs, and statistics to analyse financial data and make educated decisions about budgeting, saving, investing, and spending. Mathematicians also use probability and risk analysis to manage money by estimating the likelihood of different financial events and making decisions based on the benefits and dangers of various financial options. Overall, mathematicians' understanding of money management enables people and organisations to better manage their financial resources and reach their financial objectives.
Noah is using the 50/30/20 budgeting money management strategy because he is using 50% of his income for his basic needs, 30% for entertainment, and 20% for savings and debt repayment.
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