The school will purchase 80 chairs and 10 tables.
What is a system of equations?A system having more than two equations is known as a system of equations.
Given that, the school can spend $5200 and the cost of one table is $200 and the cost of one chair is $40.
Let x represents the number of chairs purchased and y represents the number of tables purchased.
The total cost of purchasing x chairs and y tables is:
Total cost = 40x + 200y
Since the budget of the school is $5200 only, substitute "Total cost =5200" into the above equation,
5200 = 40x + 200y
Since each table requires 8 chairs, it follows:
x = 8y
Hence, the system of equations is:
5200 = 40x + 200y (1)
x = 8y (2)
To solve the system of equations, substitute x = 8y into equation (1):
5200 = 40(8y) + 200y
5200 = 320y + 200y
5200 = 520y
y = 10
Substitute y = 10 into equation (2):
x = 8(10)
x = 80
Hence, the school will purchase 80 chairs and 10 tables.
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question 1 an online gardening magazine wants to understand why its subscriber numbers have been increasing. what kind of reports can a data analyst provide to help answer that question? select all that apply.
Reports that describe how many customers shared positive comments about the gardening magazine on social media in the past year.
Reports that compare past weather patterns to the number of people asking gardening questions to their social media. Reports that examine how a recent 50%-off sale affected the number of subscription purchases. Reports that predict the success of sales leads to secure future subscribers.
What is data analyst?
In order to find relevant information, support inferences, and help decision-making, data analysis is the process of analyzing, cleaning, manipulating, and modeling data. A data analyst examines data to find significant consumer insights and potential uses for the information. They also advise the company's management and other stakeholders of this information. Although it is recommended that data analysts have a basic understanding of statistics and mathematics, many of their tasks may be completed without it. However, data analysts often need to be familiar with statistics, linear algebra, and calculus.
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A spinner with 7 equal parts labeled g, a, b, c, d, e, f. a point is chosen in the circle at random. determine which of the statements are true. check all that apply. it is unlikely the point is in region a. it is likely the point is in region c. it is likely the point is in region g. it is impossible for the point to be in region h. it is certain that the point will land in a lettered region.
Answer:
Step-by-step explanation:
What is the rule for multiplying by 6?.
Answer:
If you multiply 6 by an even number, it will end in the same digit. For example, 6 x 4 = 24, so 4 and the 4 in 24 are the same. The number in the tens place will be half the number in the ones place, so the 2 in 24 is half of 4
Baseball's World Series is a maximum of seven games, with the winner being the first team to win four games. Assume that the Atlanta Braves and the Minnesota Twins are playing in the World Series and that the first two games are to be played in Atlanta, the next three games at the Twins' ballpark, and the last two games, if necessary, back in Atlanta. Taking into account the projected starting pitchers for each game and the home field advantage, the probabilities of Atlanta winning each game are as follows:Game and Probability of Win Game 1 : 0.7 Game 2 : 0.45 Game 3 : 0.49 Game 4 : 0.55 Game 5 : 0.47 Game 6 : 0.45 Game 7 : 0.6Set up a spreadsheet simulation model for which whether Atlanta wins or loses each game is a random variable. What is the probability that the Atlanta Braves win the World Series? If required, round your answer to two decimal places.What is the average number of games played regardless of winner? If required, round your answer to one decimal place.
For each part of Baseball's World Series is a maximum of seven games, with the winner being the first team to win four games, a detailed description has been provided down.
What do we understand by the term Probability?Probability is a way to gauge how likely something is to happen. Usually, it is stated as a number between 0 and 1, with 0 denoting impossibility and 1 showing certainty. Probability, which is founded on the idea of randomness, is frequently used in statistics, gaming, and other disciplines to forecast and evaluate the possibility of particular occurrences. The number of successful outcomes is divided by the total number of possible outcomes to determine probability. A coin flip, for instance, has a 50% chance of landing on heads. Probability is a crucial decision-making tool because it allows us to recognise and measure uncertainty in our surroundings.
How to solve?
To set up a spreadsheet simulation model for the World Series, we can create a table with columns for each game and the probability of Atlanta winning each game. We can then use the RAND function in Excel to generate random numbers between 0 and 1 for each game. If the random number generated is less than the probability of Atlanta winning the game, we can assume that Atlanta wins that game. We can then repeat this process for a large number of iterations to obtain the probability of Atlanta winning the World Series.
To calculate the probability that the Atlanta Braves win the World Series, we can sum the number of iterations in which Atlanta wins the World Series and divide it by the total number of iterations. For example, if we run the simulation 1000 times and Atlanta wins the World Series in 550 iterations, the probability that the Atlanta Braves win the World Series is 0.55.
To calculate the average number of games played regardless of the winner, we can sum the number of games played in each iteration and divide it by the total number of iterations. For example, if the simulation is run 1000 times and the number of games played in each iteration is as follows: 4, 5, 4, 6, 5, 4, 4, 6, 5, 4, the average number of games played is 4.7 (i.e. 47/10).
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Apply the Gram-Schmidt orthonormalization process to transform the given basis for Rn into an orthonormal basis. Use the Euclidean inner product for Rn and use the vectors in the order in which they are given. B = {(0, 0, 7), (0, 1, 1), (1, 1, 1)}
To apply the Gram-Schmidt orthonormalization process, we first need to calculate the projection of the first vector onto the other two vectors.
What are vectors?Mathematics' version of a vector is an entity with both magnitude and direction. On a graph, they can be seen as arrows, with the length of the arrow denoting magnitude and the direction denoting direction. The movement or velocity of an item, as well as its acceleration or force, are frequently described by vectors in physics. They may also be used in geometry to represent how far an item has moved from one point to another. Vectors can be added and subtracted, as well as their magnitude multiplied or divided by a scalar. They are a crucial resource for comprehending and examining the motion of things in space.
How to solve?
p = (u * v) / (v * v) * v
For the first vector (0, 0, 7)
p1 = (0, 0, 7) * (0, 1, 1) / (0, 1, 1) * (0, 1, 1) * (0, 1, 1) = 0 * (0, 1, 1) = (0, 0, 0)
p2 = (0, 0, 7) * (1, 1, 1) / (1, 1, 1) * (1, 1, 1) * (1, 1, 1) = 0 * (1, 1, 1) = (0, 0, 0)
Therefore, the orthogonal component of the first vector is (0, 0, 7) - (0, 0, 0) - (0, 0, 0) = (0, 0, 7).
Next, p = (u * v) / (v * v) * v
For the second vector (0, 1, 1), we have:
p = (0, 1, 1) * (1, 1, 1) / (1, 1, 1) * (1, 1, 1) * (1, 1, 1) = 1 * (1, 1, 1) = (1, 1, 1)
Therefore, the orthogonal component of the second vector is (0, 1, 1) - (1, 1, 1) = (-1, 0, 0).
Finally, |u| = sqrt(u * u)
For the first vector (0, 0, 7), we have:
|(0, 0, 7)| = sqrt((0, 0, 7) * (0, 0, 7)) = sqrt(0 + 0 + 49) = 7
Therefore, the normalized vector is (0, 0, 1).
For the second vector (-1, 0, 0), we have:
|(-1, 0, 0)| = sqrt((-1, 0, 0) * (-1, 0, 0)) = sqrt(1 + 0 + 0) = 1
Therefore, the normalized vector is (-1, 0, 0).
Therefore, the orthonormal basis for R3 is {(0, 0, 1), (-1, 0, 0), (1, 1, 1)}.
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If the margin of error decreases and the sample size remains the same, the level of confidence.
Level of confidence decreases if the margin of error decreases(when the sample size is kept the same) Goes Down
What is level of confidence?A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95% confidence level is the most popular, but other levels, like 90% or 99%, are occasionally used when computing confidence intervals.
We are given asked when the sample size is kept the same,
What will happen to the level of confidence if the margin of error decreases?we know that the margin of error is nothing but a statistic which tells us how many percentage points our results will differ from the real population value.we know that when a greater error is allowed, the more will be the confidence(fundamental concept of confidence intervals)
Let Margin of Error be represented by E and the confidence level by C hence the relationship goes like this,
E↑⇔C↑and E↓⇔C↓
Here we are asked when the sample size is kept the same, what will happen to the level of confidence if the margin of error decreases .
The answer is that Level of confidence decreases if the margin of error decreases(when the sample size is kept the same) Goes Down.
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The data for the number of hand-held gaming devices sold for the past 5 weeks are 15 units, 20 units, 25 units, 30 units, and 17 units respectively. The time series appears to be relatively stable, without trend, seasonal, or cyclical effects; thus, a moving average model would be appropriate. Setting k = 3 the three-period moving average forecast for week 6 is ________.a. 24 unitsb. 17 unitsc. 20 unitsd. 30 units
Setting k = 3, the three-period moving average forecast for week 6 is 24 (option A)
A moving average method is a time series average that moves through the series by replacing the last term of the previous averaged group and adding the next term in each consecutive average.
A moving average of an order n, k = n, is calculated as:
(x₁ + x₂ + ... + xₙ) / n
The given data is:
Week Number of units sold
1 15
2 20
3 25
4 30
5 17
Using k = 3 means the order of the moving average is 3, hence
forecast for week 6 = (25 + 30 + 17) / 3 = 24 (option A)
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slider owns a hamburger restaurant. slider's minimum average variable cost is $10 at a quantity of 100 hamburgers, and his minimum average total cost is $15 at a quantity of 200 hamburgers. his total fixed cost is $300 . use this information to answer the questions.
When he sells 200 hamburgers, the AVC is $13.5.
The average cost curve starts to rise when there are 250 hamburgers produced.
Given info,
Slider is the proprietor of a burger joint. For a quantity of 100 hamburgers, the slider's minimal average variable cost is $10, and for a quantity of 200 hamburgers, his minimum average total cost is $15. He has a $300 total fixed cost. Use his knowledge to respond to the questions.
Let,
Minimum average variable cost (AVC) = $10, when Q = 1 in00 hamburgers Minimum average cost (AC) = $15, when Q = 200 hamburgers
Fixed cost = $300
To compute the AVC when Q = 200 hamburgers, first compute Total cost (TC) as follows,
TC = AC * Q
= 15 * 200
= 3,000
Now, subtract fixed cost from TC that results variable cost (VC) as follows;
VC = TC - fixed cost
= 3,000 - 300
= 2,700
Now, compute the AVC when Q = 200 hamburgers as follows,
AVC = VC / Q
= 2,700 / 200
= 13.5
Hence, the AVC when he sells 200 hamburgers is $13.5
At a quantity of 250 hamburgers, the average cost curve is increasing.
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it shows also that the barn will be used as part of the fencing on one side. find the largest area that can be enclosed if 88 feet of fencing material is available
The largest area that can be enclosed if 88 feet of fencing material is available is 484 feet².
Given, a barn has a perimeter of 88 feet.
Now, the perimeter of the rectangle i.e. Barn is 88 feet.
Perimeter = 2(l + b)
88 = 2(l + b)
l + b = 44
b = 44 - l
Now, area = l × b
Area = l × (44 - l)
Area = 44l - l²
On differentiating both the sides, we get
A' = 44 - 2l
On putting A' = 0
44 - 2l = 0
l = 22
Now, for l = 22 the area will be the largest.
if l = 22
then, 22 + b = 44
b = 22
So, the largest area will be 22×22 = 484
Hence, the largest area that can be enclosed if 88 feet of fencing material is available is 484 feet².
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two long parallel wires are a center-to-center distance of 4.80 cm apart and carry equal anti-parallel currents of 4.10 a. find the magnitude of the magnetic field at the point p which is equidistant from the wires.
the magnitude of the magnetic field at the point p which is equidistant from the wire is 170.833*10^-7
Given ,
Current = 4.10 I
Resistance = 4.80cm = 0.048m
Constant = 4π*10^-7 h/m
To determine magnetic field
B=μ*I / 2πR
= 4π*10^-7 * 4.10 / 2π * 0.048
=8.20*10^-7 / 0.048
= 170.833*10^-7
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Which represents the explicit formula for the arithmetic sequence an = 15 5(n - 1) in function form?
The function the represents the explicit formula for the arithmetic sequence an = 15 + 5(n - 1) is f(n) = 10 + 5n
Nth term of the arithmetic sequence is given that
an = 15 + 5(n - 1)
Where 15 is the first term
5 is the common difference
Here we have to expand the given equation
f(n) = 15 + 5(n - 1)
Apply the distributive property in the equation
f(n) = 15 + 5n - 5
Add the like term of the equation
f(n) = 15 - 5 + 5n
f(n) = 10 + 5n
Hence, the function the represents the explicit formula for the arithmetic sequence an = 15 + 5(n - 1) is f(n) = 10 + 5n
The complete question is
Which represents the explicit formula for the arithmetic sequence an=15+5(n−1) in function form?
a) f(n)=5n+15
b) f(n)=n+20
c) f(n)=5n+10
d) f(n)=n+10
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f(x) = 3x² + 6x - 5
g(x) = 4x³ - 5x² +6
Find (f + g)(x).
O A. (f+g)(x) = -4x³ + 8x² + 6x − 11
B. (f+g)(x) = 4x³ + 3x² + 11x + 1
O c. (f+g)(x) = 7x³ + x² + 1
O D. (f+g)(x) = 4x³ - 2x² + 6x +1
Let x be a random variable with probability density function what is the value of c.
The value of c is 1/2, where x is a random variable with a probability density function.
A number or item that depends on random occurrences is formalized mathematically as a random variable, also known as a random quantity, aleatory variable, or stochastic variable. It is a function or mapping from potential outcomes, such as the potential upper sides of a coin flip, such as heads (H) and tails (T), in a sample space to a measured space, frequently the real numbers.
Statistics has historically only used the phrase "random variable" in the context of real-valued cases. In this situation, it is easy to describe things like a random variable's expected value and variance, its cumulative distribution function, and the moments of its distribution thanks to the structure of the real numbers.
A probability density function, also known as the density of a continuous random variable, is a function used in probability theory whose value at any given sample in the sample space can be interpreted as giving a relative likelihood that the random variable's value would be close to that sample.
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Eight measurements were made on y = glucose concentration and x = fermentation of brand of malt liquor. Minitab was used to analyze the data. A scatter plot of y is given below and a Scatterplot of y: vs » 75 70 65 60 55 50 1 2 4 6 7 8 We fit two models the first is a linear regression model of y on r and the second is a quadratic regression model of y on r below and . Partial output from Minitab is given LINEAR MODEL Analysis of Variance Adj SS Adj MS F-Value Source DF P-Value Regression 1 0.054 0.0536 0.00 0.982 586.821 97.8036 Error 6 Total 7 586.875 Coefficients Term Coef SE Coef T-Value P-Value VIF 7.71 Constant 57.96 7.52 0.000 0.04 1.53 0.02 0.982 1.00 X: QUADRATIC MODEL Analysis of Variance Source DF Adj SS Adj MS 525.11 F-Value P-Value 262.55 21.25 Regression 2 0.004 Error 5 61.77 12.35 Total 7 586.88 Coefficients Term Coef SE Coef T-Value P-Value VIF 84.48 4.90 Constant 17.23 0.000 15.87 2.50 -6.35 0.001 21.25 X: 6.52 1.768 0.271 0.001 21.25 X:*x (a) Choose the model you feel is appropriate for the data. Justify (b) Using your chosen model, what is the change in y for one unit change in x? (c) What is the proportion of variation explained by the model?
The quadratic model is appropriate, because it based on the scatter plot and p-value of the regression, the change in y for one unit change in x is 70.378 and Proportion of variation explain by the model is 0.8947.
In the given question we have given a scatter plot of y is given below and a Scatter plot of y, linear model and quadratice model.
(a) We have to choose the model that we feel is appropriate for the data.
The quadratic model is appropriate, because it based on the scatter plot and p-value of the regression that is less than quadratic model in the analysis of variance.
(b) Using our chosen model, we have to find the change in y for one unit change in x.
As there is change in one unit in x.
The change in y
y=84.48 -15.87*1+1.768*1*1
y=70.378
(c) We have to find the proportion of variation explained by the model.
Proportion of variation explain by the model=(Regression SS)/(Total SS)
Proportion of variation explain by the model=525.11/586.88
Proportion of variation explain by the model=0.8947
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The write question is given below:
what does a researcher do with the mixed significance results he or she may have found in a multiple regression analysis?
The researcher will Eliminate the nonsignificant independence variable and rerun the regression.
Meaning of multiple regression analysis: Multiple regression is a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables. The objective of multiple regression analysis is to use the independent variables whose values are known to predict the value of the single dependent value.
When modeling the relationship between a single response variable and multiple regressor variables, multiple regression analysis is used.
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from a point along a straight road, the angle of elevation to the top of a hill is . from farther down the road, the angle of elevation to the top of the hill is . how high is the hill? round to the nearest foot.
From a point along a straight road, the angle of elevation to the top of a hill is 33°. A distance of 200 ft farther down the road, the angle of elevation to the top of the hill is 20°. The hill is 165.87 ft high.
Check the file attached below for a pictorial understanding of the question
[tex]tan[/tex]θ[tex]= \frac{opposite}{adjacent}[/tex]
From ΔABC..........(1)
[tex]tan33 = \frac{y}{x}[/tex]
From ΔABD............(2)
[tex]tan20 = \frac{y}{x+200}[/tex]
[tex]y = (x+200)tan20 ........(2)[/tex]
[tex]Equating (1) and (2)[/tex]
[tex]xtan33[/tex] [tex]= (x+200)tan20[/tex]
[tex]xtan33 = xtan20 + 200tan20[/tex]
[tex]0.649x = 0.364x + 72.794[/tex]
[tex]0.649x-0.364x = 72.794\\0.285x = 72.794\\x = \frac{72.794}{0.285} \\x = 255.42ft[/tex]
Substitute the value of x into equation (1)
[tex]y = 255.42tan33[/tex]
[tex]y = 165.87 ft[/tex]
The angle of elevation is an angle this is formed between the horizontal line and the road of sight. If the line of sight is upward from the horizontal line, then the angle fashioned is a perspective of elevation. A smooth-to-recollect equation for finding change in elevation as a decimal is “rise over run,” which means the upward push (the trade-in vertical distance) divided via the run (the change in horizontal distance).
Elevations are probably organized for some of the motives, consisting of: As part of a survey of current buildings. To create a document of a construction. To discover and communicate indoor and outdoor design options. The elevation of an object is at its top above sea level. Altitude refers to the peak of an object above a given factor. Elevation refers to the peak of a place above the mean sea degree.
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Complete Question:
From a point along a straight road, the angle of elevation to the top of a hill is 33°. A distance of 200 ft farther down the road, the angle of elevation to the top of the hill is 20°. How high is the hill?
What type of number is the square root of 40?
Answer:
Irrational
Step-by-step explanation:
40 is not a perfect square.
Answer:
irrational
Step-by-step explanation:
40 isnt a perfect square where if you want to know weather it is or not you put the square root of any number on the calculator and if it's the same answer or in the answer there is a square root then it is an irrational number
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The total cheese production in 2006 is 7.7 billion pounds and the total cheese production in 2014 is 9.7 billion pounds
The total cheese production in 2006From the question, we have the following function that can be used in our computation:
y = 7(1.03)ˣ
Such that
x = Number of years after 2003
In the year 2006, the value of x is calculated as
x = Current year - 2003
So, we have
x = 2006 - 2003
Evaluate
x = 3
Substitute x = 3 in the equation y = 7(1.03)ˣ
y = 7(1.03)³
Evaluate
y = 7.7
The total cheese production in 2014In the year 2014, the value of x is calculated as
x = Current year - 2003
So, we have
x = 2014 - 2003
Evaluate
x = 11
Substitute x = 11 in the equation y = 7(1.03)ˣ
y = 7(1.03)¹¹
Evaluate
y = 9.7
Hence, the amount of cheese is 9.7 billion pounds
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The Cooking Club made some pies to sell during lunch to raise money for a field trip. The cafeteria helped by donating three pies to the club. Each pie was then cut into six pieces and sold. There were a total of 72 pieces to sell. Which equation represents this situation?72 = 3x + 6 (6)
72 = 3x + 6
72 = 6x + 3
72 = 6x + 3 (6)
72 = 3x + 6 equation represents if each pie was then cut into six pieces and sold. There were a total of 72 pieces to sell.
Define equation.In mathematics, an equation is an expression or a statement that consists of two algebraic expressions that have the same value and are separated from one another by the equal symbol. It is an otherwise stated proposition that has been mathematically quantified. There are numerous possible equation types. To equate two expressions, we employ equations.
Given,
The Cooking Club made some pies to sell during lunch to raise money for a field trip. The cafeteria helped by donating three pies to the club.
Each pie was then cut into six pieces and sold.
There were a total of 72 pieces to sell.
Equation representing this equation is:
72 = 3x + 6
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Raymond work in an electronic tore and get a 12 percent employee dicount. The original cot of a video game ytem i $175. What i the dicounted price of the game ytem?
If the original cost of a video game item is $175 with a 12% discount then the discounted price of the game item would be $154.
What is a discount?
A fixed amount off a price means subtracting the fixed amount from the original price. For example, if a service normally costs $95, and you have a $20 off coupon, you would deduct $20 from $95 to get the final price: $95 - $20 = $75.
The price of the video game item is $175.
The applied discount = 12%
Then the total saving = 175*12%
= 175 * 0.12
= 21
Discounted price = total price - total saving
= 175 - 21
= $154.
Hence, if the original cost of a video game item is $175 with a 12% discount then the discounted price of the game item would be $154.
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Positive
Negative
No Correlation
Answer:
No Correlation
Step-by-step explanation:
The points are scattered randomly and there is no pattern so there is no correlation.
a $4\times 4\times 4$ open cubical box contains $64$ identical small cubes that exactly fill the box. how many of these small cubes touch the bottom or one of the four lateral sides of the box?
Total number of identical cubes that touch he bottom or one of the four lateral sides of the box is 52
4 x 4 x 4 open cubical box contains 64 identical small cubes that exactly fill the box
The 2 ends = 16 each small identical cubes touch the end sides
2*16 = 32
The 2 sides=8 each small identical cubes touch the lateral sides
2*8=16
On The bottom there are four small identical cubes
Total number of identical cubes that touch he bottom or one of the four lateral sides of the box will be
32 + 16 + 4 = 52
Thwerefore, Total number of identical cubes that touch he bottom or one of the four lateral sides of the box is 52
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$0–$10,275
10%
$10,276–$41,175
12%
$41,176–$89,075
22%
$89,076–$170,050
24%
$170,051–$215,950
32%
$215,951–$539,900
35%
> $539,901
37%
Determine the effective tax rate for a taxable income of $23,470. Round the final answer to the nearest hundredth.
11.12%
12.00%
13.49%
15.63%
The effective tax rate for a taxable income of $23,470 is given by:
12%.
How to obtain the tax rate?The tax rates are given from the table, depending on the taxable incomes, which are the inputs of the table.
The rates for each taxable income range are given as follows:
Between $0 and $10,275: Tax rate of 10%.Between $10,276 and $41,175: Tax rate of 12%.Between $41,176 and $89,075: Tax rate of 22%.Between $89,076 and $170,050: Tax rate of 24%.Between $170,051 and $215,950: Tax rate of 32%.Between $215,951 and $539,900: Tax rate of 35%.Above $539,901: Tax rate of 37%.A taxable income of $23,470 is on the second range, hence the tax rate is of 12% and the second option is correct.
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Answer:
11.12%
Step-by-step explanation:
10275 × 10% = 1027.5
23470 - 10276 = 13194
13194 × 12% = 1583.28
Then we add it all up
1027.5 + 1583.28 = 2610.78
Then we would determine the effective tax rate for a taxable income of 23470.
[tex]\frac{2610.78}{23470}[/tex] × 100 = 11.12%
Therefore, the effective tax rate for the income of 23470 is 11.12%.
How many units are in a square?.
A unit square is a square with sides measuring 1 unit, while a square unit is a unit of measurement.
What are Square Units?
In geometry, a square unit can be defined as the metric unit used to measure area for example the area of this rectangle is measured in square units using unit squares.
Also, the square is an Imperial unit of area that is used in the construction industry, 1 square is equal to 100 square feet.
In the system of measurement, some commonly used square units can be square centimeter (cm²), square meter (m²), and square kilometer (km²).
Thus, a square unit is a unit of measurement where as a unit square is a square with sides measuring 1 unit.
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In estimating √60, the two perfect squares that provide the best two benchmarks to estimate
the answer can be represented by the numbers _____ and_______.
Write the smallest
perfect square in the first two boxes and the largest perfect square in the last two boxes.
Answer:
60 falls between two perfect squares: 49 (72), and 64 (82).
Step-by-step explanation:
need help with this Drag the points to create graphs of linear relationships that have different y-intercepts and slopes of 1/5, 3/5, and 6/5.
Linear relationships that have different y-intercept and slope of 1/5 is y=1/5 x+25/6.
Given that, the slopes are 1/5, 3/5 and 6/5.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The coordinate points from the given figure are (6, 5), (5, 1) and (4, 3).
Substitute m=1/5 and (x, y)=(6, 5) in y=mx+c, we get
5=1/5 ×6+c
⇒ c=5- 5/6
⇒ c=25/6
Put m=1/5 and c=25/6 in y=mx+c, we get
y=1/5 x+25/6
Substitute m=3/5 and (x, y)=(5, 1) in y=mx+c, we get
1=3/5 ×5+c
⇒ c=-2
Put m=3/5 and c=-2 in y=mx+c, we get
y=3/5 x-2
Substitute m=6/5 and (x, y)=(4, 3) in y=mx+c, we get
3=6/5 ×4+c
⇒ c=3-24/5
⇒ c= -9/5
Put m=6/5 and c= -9/5 in y=mx+c, we get
y=6/5 x-9/5
Therefore, linear relationships that have different y-intercept and slope of 1/5 is y=1/5 x+25/6.
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The average manufacturing work week in metropolitan Chattanooga was 40.1 hours last year. It is believed that
the recession has led to a reduction in the average work week. To test the validity of this belief, the hypotheses
are
a. H0: u < 40.1 Ha: u >= 40.1
b. H0: u => 40.1 Ha: u < 40.1
c. H0: u > 40.1 Ha: u <= 40.1
d. H0: u = 40.1 Ha: u =/= 40.1
b. H0: u => 40.1 Ha: u < 40.1
The null and alternative hypothesis are:
H₀ : µ = 40.1
Hₐ : µ < 40.1
If we want to test the claim that there is a reduction in the average work week, the null hypothesis should state:
- The alternative hypothesis should state the claim: there is a reduction in the average work week. This can be written as the true mean is less than 40.1
- The null hypothesis should state the oposite of the alternative hypothesis: that there is no significant reduction in the average work week. This can be written as the true mean is equal to 40.1.
Then, the null and alternative hypothesis are:
H₀ : µ = 40.1
Hₐ : µ < 40.1
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a quarter-circle with radius 4 centered at o is drawn, as shown. in addition, semi-circles centered at the midpoints of oa and ob are drawn. find the area of the shaded region.
If the area of quarter-circle is 4pi and semi-circles is 2pi then the area of the given shaded region is 0.
What is the area formula to a circle?A = π r²
A circle's area is equal to pi times the radius squared (A = r2). Discover how to apply this formula to determine a circle's area given its diameter.
What is a semi-circle?A semicircle is a half circle created by splitting a circle into two equal parts. It is created when a line pierces the circle's center and touches its two ends. The diameter of the circle is the name given to this line.
if we have quarter-circle of
R=4 then;
Area= 4^2*pi/4
A = 4pi
so, for semi-circles having center at midpoints of oa and ob;
Area= 2^2*pi/2
= 2pi
The shaded region is the quarter-circle of radius 4 at o and subtracts the two semi-circles which are centered at the midpoints of oa and ob. So the required area of given shaded regions;
A=4pi - 2pi - 2pi
= 0
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what is the probability p that a 3 will occur any given time the die is rolled? (enter your probability as a fraction.)
Can 5cm 9cm 3cm be sides of a triangle?.
Answer: It is not possible
Step-by-step explanation:
to have a triangle with sides 5 cm, 3 cm and 2 cm. Sum of any two sides of a triangle must be greater than the third side.
3 cm + 2 cm = 5 cm
