Answer:
\(\left\begin{array}{ccccc}&6&7&5&0\\-&3&8&9&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right\)
Step-by-step explanation:
\(\left\begin{array}{ccccc}&6&*&5&*\\-&*&8&*&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right\)
10-4=6Therefore the last digit of 6*5* is 0.
[(5-1)+10]-5=98+8+1=176-(1+2)=3Therefore:
\(\left\begin{array}{ccccc}&6&7&5&0\\-&3&8&9&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right\)
For a model of a building, a sculptor uses the scale of 3 inches represents 15 feet. The sculptor creates a model of an airplane that is 5 inches long. How long was the original airplane?
A 25 feet
B 30 feet
C 50 feet
D 75 feet
Answer:
A) 25 feet
Step-by-step explanation:
A sculptor uses the scale of 3 inches to represent 15 feet. Find the amount of feet represented by 1 inch by simply dividing 15 with 3:
15/3 = 5
1 inch represents 5 feet.
Next, it is given that the model of the airplane is 5 inches long. Multiply 5 inches with 5 feet to get the total measurement of the original airplane:
5 x 5 = 25 feet.
5 inches represent 25 feet.
A) 25 feet is our answer.
~
A loan of R12000 was secured at 20% p.a. effective. It was agreed to repay the loan via regular equal monthly payments of R310 per month and a final payment (F < 310) to be made one month after the last payment of R310. Payment started one month after the loan was granted. The client missed the 12th, 13th, 14th and 15th payments. The equal amounts, rounded to the nearest cent, that must be added to all the remaining payments, from the sixteenth month onwards, for the loan to be repaid in the same time period, are equal to R
The equal amounts that must be added to all the remaining payments, from the sixteenth month onwards, are R62.33.
To calculate the equal amounts that must be added to the remaining payments, we first need to determine the total amount of the loan, including interest. The loan amount is R12,000,
and the interest rate is 20% per annum effective. Since the loan is repaid through regular monthly payments, we can use the formula for the future value of an annuity to find the total amount:
Future Value = Payment x [(1 + r)^n - 1] / r,
where Payment is the monthly payment amount, r is the monthly interest rate, and n is the number of payments.
In this case, the monthly payment is R310, the monthly interest rate is 20%/12 = 1.67%, and the number of payments is 15 (including the final payment). Plugging in these values, we can find the future value of the loan:
Future Value = R310 x [(1 + 0.0167)^15 - 1] / 0.0167 ≈ R7,473.33.
The remaining balance after the 15th payment should be the future value minus the sum of the payments made so far. Subtracting the total payments (15 x R310) from the future value, we get:
Remaining Balance = R7,473.33 - (15 x R310) = R2,223.33.
Since the client missed the 12th, 13th, 14th, and 15th payments, the remaining balance of R2,223.33 needs to be spread over the remaining months to ensure that the loan is repaid in the same time period.
Starting from the sixteenth month, there are 45 months remaining (60 months in total - 15 months already paid). Dividing the remaining balance by the number of remaining months, we find:
R2,223.33 / 45 ≈ R49.41.
Rounding this amount to the nearest cent, we get R49.40. However, since equal amounts need to be added to all the remaining payments, the closest equal amount would be R49.33.
Therefore, the equal amounts that must be added to all the remaining payments, from the sixteenth month onwards, for the loan to be repaid in the same time period, are approximately R49.33.
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which term below is a number that describes how the data is dispersed across the entire range of data? a.) shape b.) outlier c.) spread d.) center
the spread data is dispersed across the entire range of data.
What is range of data?
In statistics, we must put the given values, set of data, or set of observations in ascending order in order to determine the range. That indicates that you should start by writing the observations from lowest to highest value. The formula must now be used to determine the range of observations. As a result, the range may alternatively be thought of as the distance between the highest and lowest observation. The range of observation is the name given to the outcome. Statistics' range reflects the variety of observations.
When we plot data, we are considering the shape of the data. We plot the data based on the histogram, for example. The data's shape is Shape.
Outliers are different observations from the majority of the observations and are clustered in the center. Spread is the dispersion of the data throughout the entire range.
Hence, the spread data is dispersed across the entire range of data.
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find the value of x
2x(12) =15(x+3)
Answer:
X=5
Step-by-step explanation:
2 and x times 12=24x
15x3 and x = 15x +45
24x-15x= 9x
45/9=5
X=5
How many terms are in this expression?
4n + 6m
Answer:
2
Step-by-step explanation: this is because the plus sign splits the terms so simply 2 terms
what is
6
+0.2
————-
Answer:
Your correct answer will be 6.2
Step-by-step explanation:
First, we line up the decimal points, 0.2 plus 6.0, always add 0 to the number without the decimal.
Last, you just add them, and you will get 6.2
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consider the quadratic function y equals short dash x squared plus 6 x minus 5. what do we know about the graph of this quadratic equation, based on its formula?
Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.
Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.
First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.
Next, we can find the vertex using the formula:
Vertex = (-b/2a, f(-b/2a))
where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:
Vertex = (-b/2a, f(-b/2a))
= (-6/(2*-1), f(6/(2*-1)))
= (3, -14)
So the vertex of the parabola is at the point (3,-14).
Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.
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4.A trapezoid with a perimeter of 30 units is
graphed on a coordinate grid. The trapezoid is
dilated by a scale factor of 0.3 with the origin as the
center of dilation. If (x,y) represents the location of
any point on the original trapezoid, which ordered
pair represents the coordinates of the corresponding
point on the resulting trapezoid?
A. (30x, 30y)
B. (X - 0.3, y +0.3)
C. (0.3x, 0.3y)
D. (x + 0.3, y +0.3)
Answer:
It would be (x0.3,y0.3). C is the answer
Step-by-step explanation:
Because if you actually read it, it already gave you the answer which is the scale factor of 0.3
so that would lead to (x0.3,y0.3)
The length of the rectangle is 5 more than twice the width. If the length is 13 feet, What is the width of the rectangle?
Answer: The width is 4
Step-by-step explanation:
length= 2x+5
13=2x+5
8=2x
4=x
A spring attached to the ceiling is pulled 8 centimeters down from equilibrium and then released. The damping factor of the spring is 0.5, resulting in the spring oscillating 15 times per second. Write a function to model the distance, D, the end of the spring is from equilibrium in terms of seconds, t, since the spring was released.
The equation to model the distance, D, the end of the spring is from equilibrium in terms of seconds, t, since the spring was released for oscillation can be represented by the following: $$\mathbf{D(t) = e^{-0.5t}\cos{(2\pi 15 t)}- 8}$$\(D(t) = e^{-0.5t}\cos{(2\pi 15 t)}- 8\)
The damping factor of a spring is used to model the resistance of the spring to oscillate. The spring is considered to be in an equilibrium position if it is neither stretched nor compressed. Therefore, the displacement from the equilibrium position is given by D.The distance D of the end of the spring from the equilibrium position can be modeled by the equation: $$\mathbf{D(t) = Ae^{-\gamma t} \cos(\omega_d t + \phi) + D_0}$$ Where: D(t) is the distance of the spring from the equilibrium position t is the time that has elapsed since the spring was released.
A is the amplitude of the oscillationγ is the damping factorωd is the angular frequency ϕ is the phase angleD0 is the initial displacement from the equilibrium position. Substituting the given values into the above equation, we have: $${A} = {8} \; \text{ cm}$$ $$\gamma = {0.5}$$ $${\omega_d} = {2 \pi \times 15} \; \text{radians/s}$$ $$\phi = {0}$$ $${D_0} = {0}$$.
Substituting these values into the above equation, we get:$$\mathbf{D(t) = 8 e^{-0.5t} \cos{(2\pi 15 t)}- 0}$$Therefore, the equation to model the distance, D, the end of the spring is from equilibrium in terms of seconds, t, since the spring was released can be represented by the following:$$\mathbf{D(t) = e^{-0.5t}\cos{(2\pi 15 t)}- 8}$$
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For Exercises 1 and 2, find the unknown angle measures in each triangle
Answer:
Number 1 is also 125 because it corresponds.
Step-by-step explanation:you see other line in the triangle right!if u see both are giving that line anywhere then you will know they corresponds! hope it hels!good night!
A football team has an away game, and the bus breaks down. The coaches decide to drive the players to the game in cars and vans. Four players can ride in each car. Six players can ride in each van. There are 48 players on the team. The equation $4x+6y=48$ models this situation, where $x$ is the number of cars and $y$ is the number of vans
The 4 possible solutions in the context of the problem are (0, 8), (3, 6), (6, 3), and (9, 2)
Given the equation that models the situation expressed as:
4x + 6y = 48
We are to find 4 possible solutions for x and y. Note that the values of x and y must be integers.
If there are no cars i.e. at when x = 0
4(0) + 6y = 48
0 + 6y = 48
6y = 48
y = 48/6
y = 8
One of the solution is (0, 8)
If there are 3 cars, i.e. at when x = 0
4(3) + 6y = 48
12 + 6y = 48
6y = 48 - 12
y = 36/6
y = 6
The second solution will be (3, 6)
If there are 6 cars, i.e. at when x = 6
4(6) + 6y = 48
24 + 6y = 48
6y = 48 - 24
y = 24/6
y = 4
The third solution will be (6, 3)
If there are 9 cars, i.e. at when x = 9
4(9) + 6y = 48
36 + 6y = 48
6y = 48 - 36
y = 12/6
y = 2
The fourth solution will be (9, 2)
Hence the 4 possible solutions in the context of the problem are (0, 8), (3, 6), (6, 3), and (9, 2)
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Simplify and write an exponential form (2^3) (2^5•2^0x^5/ 3^2x^3y^4)
Answer:
8 · (32 · x^5 / 9 x^3 y^4)
What is the solution to the equation above
Answer:
A = 3/4
Step-by-step explanation:
alternately could equal 0.75
I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!A 120-inch pipe is cut into two pieces, One piece is three times the length of the other. Find the
length of the shorter piece.
Answer:
the shorter piece is 30 inches.
Step-by-step explanation:
3x + x = 120
4x =120
x =30
Wanja bought fruits which were being sold at 3 fruits for sh 2.00. She then sold them at 3 fruits for sh 3.50. What profit did she make after selling 450 fruits? [1990 No. 25) sh 300.
Answer:
The answer is sh50......
An airplane is at 28,500 and begins to descend at 2,100 feet per minute. What will the plane's altitude be after 6 minutes?
The altitude of the airplane after 6 minutes is 15900 feet
The altitude of the airplane at the beginning = 28500 feet
The distance that they descend per minutes = 2100 feet
The distance that airplane descend after 6 minutes = The distance that they descend per minutes × 6
Substitute the values in the equation
The distance that airplane descend after 6 minutes = 2100 × 6
= 12600 feet
The airplane's altitude after 6 minutes = The height of the airplane at the beginning - The distance that airplane descend after 6 minutes
= 28500 - 12600
= 15900 feet
Hence, the altitude of the airplane after 6 minutes is 15900 feet
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Can yall please put the formula as well x
Answer:
x = 10°
Step-by-step explanation:
(3x + 88) + (x + 36) + (2x -4) = 180°
6x + 120 = 180°
6x = 60°
x = 10°
Paid to quit In an effort to reduce health care costs, General Motors
sponsored a study to help employees stop smoking. In the study, 439
volunteer subjects were randomly assigned to receive up to $750 for
quitting for a year, while the other 439 volunteer subjects were simply
encouraged to use traditional methods to stop smoking. After one year,
people who had the financial incentive were 3 times more likely to have
quit smoking.
(a) What is the statistical question that the researchers were trying to
answer?
(b) Identify the population and sample.
(c) Is this an observational study or an experiment? Explain.
We have strong evidence that employees have a greater quitting smoking rate.
What is population?The entire group about whom you want to make conclusions is referred to as a population.
What is sample?The particular group from which you will gather data is known as a sample. The sample size is always determined by
a. Statistical question is \(p_{f}-p_{t} > 0\)
where \(p_{f}=\) rate of employees who get a financial incentive to quit smoking.
\(p_{t}=\) rate of employees who use traditional method to quit smoking.
b. Population= volunteers
Sample= rate of employees to quit smoking
c. It is an experimental study as they have selected random people.
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We have strong evidence that employees have a greater quitting smoking rate.
What is population?
The entire group about whom you want to make conclusions is referred to as a population.
What is sample?
The particular group from which you will gather data is known as a sample. The sample size is always determined by
a. Statistical question is
where rate of employees who get a financial incentive to quit smoking. rate of employees who use traditional method to quit smoking.
b. Population= volunteers
Sample= rate of employees to quit smoking
c. It is an experimental study as they have selected random people.
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Homework: Section 11.1 Question 7. Complete the square to find the x-intercepts of the function given by the equation listed. f(x)=x² +34x+104 What are the x-intercepts? **** (Simplify your answer. T
Answer:
x² + 34x + 104 = 0
x² + 34x = -104
x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²
x² + 34x + 17² = -104 + 17²
x² + 34x + 289 = 185
(x + 17)² = 185
x + 17 = +√185
x = -17 + √185
What are a couple of examples of a situation where you feel that statistical guidance should perform well. Further, please tell me why you believe the statistical guidance should do well in this situation
Statistical guidance should perform well in situations such as clinical trials and market research where rigorous data analysis and inference are necessary. Statistical methods provide a systematic approach to control biases, handle variability, and draw reliable conclusions, ensuring accurate decision-making and predictions based on the data.
Statistical methods are crucial in determining sample sizes, designing the study, and analyzing the data to draw valid conclusions about the effectiveness and safety of the treatment.
In this situation, statistical guidance should do well because it provides a systematic framework to control for biases, random variability, and confounding factors, ensuring robust and reliable results that can be generalized to a larger population.
One example where statistical guidance should perform well is in clinical trials for new drugs or treatments.
Another example is in market research and opinion polling. Statistical techniques can be used to collect and analyze data from a representative sample of the target population, allowing for accurate estimation and prediction of consumer preferences, market trends, or election outcomes.
Statistical guidance should do well in this situation because it provides methods for random sampling, hypothesis testing, and confidence interval estimation, which help minimize sampling errors and increase the reliability of the findings.
Additionally, statistical models can capture complex relationships and make accurate predictions based on the observed data.
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b) Given figure is a parallelogram ABCD of area 96-12 sq. cm.
If AD = 12 cm and DC = 16 cm, find the measurement of
2 ABC
B
S
Answer:
104 but not sure
Step-by-step explanation:
An individual's per kg expenditure on coffee is distributed with mean $2.32 and variance 0.09 If each individual in the population drinks 3 kg of tea and 2 kg of coffee, the mean total expenditure an beverages is $ with a variance of □, If T and C have a bivariate normal distribution with covariance zero, the mean total expenditure an beverages is $□ with a variance of □. If X and Y have a bivariate distribution with covariance zero, this implies that the variables show
The mean total expenditure on beverages is $736 with a variance of $8.1912.
If X and Y have a bivariate distribution with covariance zero, this implies that the variables show no linear relationship.
Given that an individual's per kg expenditure on coffee is distributed with mean $2.32 and variance 0.09.
Each individual in the population drinks 3 kg of tea and 2 kg of coffee.
Let T and C be the amount spent on tea and coffee respectively by an individual.
Then,
Total expenditure on coffee = 2 × 2.32 × 100 = $232
and,
Total expenditure on tea = 3 × 1.68 × 100 = $504
We know that the covariance of T and C is zero.
Thus, Mean of the total expenditure on beverages = 232 + 504 = $736,
The variance of the total expenditure on beverages = 4 × variance of expenditure on coffee + 9 × variance of expenditure on tea
= 4 × 0.09 × (2.32)² + 9 × 0.04 × (1.68)²
= $8.1912
Hence, the mean total expenditure on beverages is $736 with a variance of $8.1912.
If X and Y have a bivariate distribution with covariance zero, this implies that the variables show no linear relationship.
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helpp only for angle A and B thx !
We collect these data from 50 male students. Which variable is categorical? a. number of cigarettes smoked daily b. head circumference
c. hours of homework last week d. eye color e. number of TV sets at home
For quantitative variables X and Y, which one of the following statements about r, the correlation coefficient, is FALSE?
• r does not have a unit of measure.
• Changing the unit of measure for X does not change the value of r.
• The correlation coefficient between X and Y is equal to the correlation coefficient between Y and X.
• When X and Y have a strong positive linear association then r is close to 1.
• r is a useful measure of strength for any form of relationship between X and Y.
The statement that is FALSE is: "r is a useful measure of strength for any form of relationship between X and Y."
While the correlation coefficient r can measure the strength of a linear relationship between two quantitative variables X and Y, it cannot measure the strength of a non-linear relationship. For example, if the relationship between X and Y is curved, r may not accurately capture the strength of the relationship. In such cases, other measures such as the coefficient of determination (R-squared) may be more appropriate.
A numerical measure of some kind of correlation, or statistical relationship, between two variables is known as a correlation coefficient. The factors might be two sections of a given informational index of perceptions, frequently called an example, or two parts of a multivariate irregular variable with a known dispersion.
The connection coefficient is the particular measure that evaluates the strength of the direct connection between two factors in a relationship examination. The coefficient is what we represent with the r in a connection report.
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Identify the word form of this number: 316,758
Answer:
it is Three hundred and sixteen thousand,seven hundred and fifty eight.
Hey there!
316,758
3 is in the HUNDRED THOUSANDS place
1 is in the TEN THOUSANDS place
6 is in the THOUSANDS place
7 is in the HUNDREDS place
5 is in the TENS place
8 is in the ONES place
Expanded form
300,000 + 10,000 + 6,000 + 700 + 50 + 8
Answer:
Three hundred sixteen thousand seven hundred fifty-eight
Good luck on your assignment and enjoy your day!
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Describe a normally distributed phenomena using standard nomenclature.
In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).
A normally distributed phenomenon using standard nomenclature can be described as follows:
A dataset is said to be normally distributed if it follows a bell-shaped curve, which is symmetrical around the mean (µ) and characterized by its standard deviation (σ). In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).
For example, if we consider the heights of adult males in a large population, we may observe that the distribution is normally distributed with a mean height (µ) of 175 cm and a standard deviation (σ) of 10 cm. In this case, the nomenclature for this normally distributed phenomenon would be N(175, 100), as the variance is \(10^2 = 100\).
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a restaurant manager collected data to predict monthly sales for the restaurant from monthly advertising expenses. the model created from the data showed that 36 percent of the variation in monthly sales could be explained by monthly advertising expenses. what was the value of the correlation coefficient? responses 0.64 0.64 0.60 0.60 0.40 0.40 0.36 0.36 0.13
The value of the correlation coefficient is 0.60.
There is a 0.6 correlation coefficient between two variables, which measures the strength of the relationship.
R² is the coefficient of determination, which measures how much variation can be explained by the regression line.
This means that, the R² value of the data is 36%
R² = 36% = 0.36
Correlation coefficients measure the strength of relationships between variables in the form of square roots.
That is ; R = √R²
R = √0.36
Hence, the correlation Coefficient, R is 0.60
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suchin gururangan, swabha swayamdipta, omer levy, roy schwartz, samuel r bowman, and noah a smith. 2018. annotation artifacts in natural language inference data. arxiv preprint arxiv:1803.02324.
The provided information appears to be a citation for a research paper titled "Annotation Artifacts in Natural Language Inference Data" by Suchin Gururangan, Swabha Swayamdipta, Omer Levy, Roy Schwartz, Samuel R. Bowman, and Noah A. Smith. The paper was published as an arXiv preprint with the identifier arXiv:1803.02324.
The given citation refers to a research paper titled "Annotation Artifacts in Natural Language Inference Data" published in 2018.
The research paper, authored by Suchin Gururangan, Swabha Swayamdipta, Omer Levy, Roy Schwartz, Samuel R. Bowman, and Noah A. Smith, addresses the issue of annotation artifacts in natural language inference data. Natural language inference (NLI) is a task in natural language processing that involves determining the logical relationship between pairs of sentences, such as whether one sentence contradicts or entails the other.
Annotation artifacts refer to systematic biases or inconsistencies in the process of annotating NLI data, which can impact the performance of NLI models. The authors of the paper investigate and analyze these artifacts, aiming to understand their prevalence and impact on NLI performance.
In the paper, the authors propose a new methodology called "stress test evaluation" to identify and quantify annotation artifacts. They conduct experiments on large-scale NLI datasets and observe that the presence of these artifacts significantly affects the behavior of state-of-the-art NLI models.
The research paper contributes to the field of natural language processing by shedding light on the challenges posed by annotation artifacts in NLI data and providing insights for improving NLI models and datasets. The citation provided allows others to access and refer to this research paper for further study and exploration of the topic.
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