Katrin estimated that she sold 40 sandwiches at her food truck during lunch. Later, a count showed that she actually sold 44. Find Katrin's percent error to the nearest tenth.

-21 is the 17th term.

It is a sequence where there is the same pattern of difference between the consecutive terms in the sequence.

We have,

a = 27 and d = -3 _____(1)

The nth term.

Term = a + (n - 1)d _____(2)

Now,

Term = -21

Substituting (1) in (2).

Term = a + (n - 1)d

-21 = 27 + (n - 1) (-3)

-21 = 27 - 3n + 3

3n = 27 + 21 + 3

3n = 51

n = 17

Thus,

-21 is the 17th term.

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The constant of proportionality for the paints portraits is estimated as 5.

For, the given question;

The relation between the portraits and the time for their drawing made by Drew is-

In 5 hours ----> 1 portrait

Thus, 5/1 = 5

In 10 hours ------> 2 portrait

Thus, 10/2 = 5

In 15 hours -----> 3 portrait

Thus, 15/3 = 5 .....and so on.

Therefore, the constant of proportionality is found as 5.

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The line integral of xy dx + x^2 dy around the given rectangle is 0.

To evaluate the line integral ∮C (xy dx + x^2 dy) along the given rectangle C with vertices (0, 0), (5, 0), (5, 1), and (0, 1), we can break it down into four line integrals along each side of the rectangle and sum them up.

Along the bottom side:

Parametrize the line segment from (0, 0) to (5, 0) as r(t) = (t, 0), where t ranges from 0 to 5. The differential element along this line segment is dr = (dt, 0). Substituting these values into the line integral, we get:

∫[0,5] (t*0) dt = 0.

Along the right side:

Parametrize the line segment from (5, 0) to (5, 1) as r(t) = (5, t), where t ranges from 0 to 1. The differential element along this line segment is dr = (0, dt). Substituting these values into the line integral, we get:

∫[0,1] (5t0 + 25dt) = ∫[0,1] 25*dt = 25.

Along the top side:

Parametrize the line segment from (5, 1) to (0, 1) as r(t) = (5-t, 1), where t ranges from 0 to 5. The differential element along this line segment is dr = (-dt, 0). Substituting these values into the line integral, we get:

∫[0,5] ((5-t)*0 + (5-t)^2 * 0) dt = 0.

Along the left side:

Parametrize the line segment from (0, 1) to (0, 0) as r(t) = (0, 1-t), where t ranges from 0 to 1. The differential element along this line segment is dr = (0, -dt). Substituting these values into the line integral, we get:

∫[0,1] (0*(1-t) + 0) dt = 0.

Summing up all the line integrals, we have:

0 + 25 + 0 + 0 = 25.

Therefore, the line integral of xy dx + x^2 dy around the given rectangle is 25.

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Answer:

c

Step-by-step explanation:

Based on the survey results from Maryland households, approximately 62 percent (641/1,035) of households in Maryland purchase at least one prepared meal per week from the grocery store.

To determine if the national grocery chain should expand their selection of prepared meals, we need to compare the nationwide percentage of households that purchase at least one prepared meal per week (67%) with the percentage of Maryland households that do the same.

Here's a step-by-step explanation:

1. Calculate the percentage of Maryland households that purchase at least one prepared meal per week by dividing the number of households that do (641) by the total number of households surveyed (1,035).

Percentage of Maryland households = (641 / 1,035) * 100= 62%

2. Compare the percentage of Maryland households with the nationwide percentage (67%).

Based on the survey results from Maryland households, approximately 62 percent (641/1,035) of households in Maryland purchase at least one prepared meal per week from the grocery store.

This is slightly lower than the national estimate of 67 percent. However, it is still a significant portion of households and suggests that expanding the selection of prepared meals could be a viable option for the national grocery chain in Maryland.

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Answer:

X=3.5

Step-by-step explanation:

9=x2+2

9-2=x2

(9-2)÷2=x

Answer: It has a variety of answers.

Step-by-step explanation: The question could be answered with a variety of data.

Comment: RMS value is equal to the average value. This means that the signal does not have any high-frequency content. It can be inferred that the function y(t) does not oscillate. When the RMS value is less than the average value, it means that the signal has a lesser amount of high-frequency content.

Average and rms values for the function y(t)=25+10sin6πt over the time periods (a) 0 to 0.1 s, (b) 0.4 to 0.5 s, (c) 0 to 1/3 s, and (d) 0 to 20 s are as follows:

a) For t=0 to t=0.1s:

Average value, y_avg = 25

RMS value, y_RMS = 25.1987

Comment: RMS value is greater than the average value. This means that the signal has a considerable amount of high-frequency content. It can be inferred that the function y(t) oscillates rapidly.

b) For t=0.4 to t=0.5s:

Average value, y_avg = 25

RMS value, y_RMS = 28.2843

Comment: RMS value is greater than the average value. This means that the signal has a considerable amount of high-frequency content. It can be inferred that the function y(t) oscillates rapidly.

c) For t=0 to t=1/3 s:

Average value, y_avg = 25

RMS value, y_RMS = 23.7176

Comment: RMS value is less than the average value. This means that the signal has a lesser amount of high-frequency content. It can be inferred that the function y(t) oscillates slowly.

d) For t=0 to t=20 s:

Average value, y_avg = 25

RMS value, y_RMS = 25

Comment: RMS value is equal to the average value. This means that the signal does not have any high-frequency content. It can be inferred that the function y(t) does not oscillate. Comment on the nature and meaning of the results in terms of analysis of dynamic signals.The results indicate that the function y(t) oscillates rapidly at the start and end of the time period and slowly in the middle. When the RMS value is greater than the average value, it means that the signal has a considerable amount of high-frequency content.

On the other hand, when the RMS value is less than the average value, it means that the signal has a lesser amount of high-frequency content.

Furthermore, if the RMS value is equal to the average value, it means that the signal does not have any high-frequency content.

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The total amount of soup mix is 50 cups. We arrived at this answer by simplifying the sum using the regrouping in step 3.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

The commutative property of addition can be used to change the order of the addends.

The associative property of addition can be used to change the grouping of the addends.

We can regroup the addends in a way that makes the addition easier. For example, we can group the like terms together as follows:

(7 + 1) + (4 + 2 + 3 + 4 + 2 + 2) + (3 + 3 + 1 + 1) + (4 + 2 + 2 + 1) + (7 + 1)

This regrouping makes it easier to add the like terms together, since we can add the terms within each parentheses first, and then add the resulting sums together. For example, we have:

8 + 17 + 8 + 9 + 8

This simplifies to:

50

Therefore, The total amount of soup mix is 50 cups. We arrived at this answer by simplifying the sum using the regrouping in step 3.

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There are 160 possibilities for area codes

We are required to find all the combinations for different area codes

It is given to us that the conditions for the tree digit area code are:

first digit could be any number from 4 through​ 8,

the second digit was either 4 5 6 or 7, and the third digit could be any number except 2 or 7

Using the conditions above, the digits which can be first digit of code = 4 through 8 =4,5,6,7,8

the digits which can be second digit of code= 4,5,6,7

the digits which can be third digit of code = 0,1,3,4,5,6,8,9

number of possibilities for first digit= 5

number of possibilities for second digit=4

number of possibilities for third digit= 8

Therefore, total number of possibilities of code   = number of possibilities of first digit x number of possibilities of second digit x number of possibilities of third digit = 5 x 4 x 8=160

Therefore, there are 160 possibilities for area codes

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Using it's concept, it is found that there is a 0.64 = 64% probability that the sum of two randomly chosen numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} is no greater than 10.

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem:

For a sum no greater than 10, we have that:

Hence, the number of desired outcomes is:

\(D = 10(2) + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 = 64\)

The probability is:

\(p = \frac{D}{T} = \frac{64}{100} = 0.64\)

0.64 = 64% probability that the sum of two randomly chosen numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} is no greater than 10.

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Answer: x+y=

Step-by-step explanation:

you would just write it out step by step explaining wht u need to do to solve the question

Answer: 55 Gallons.

Step-by-step explanation: you can trust me on this, and I promise it will be correct.

By using simple multiplication, Dominic sold 52 boxes of greeting cards during the fundraiser.

What is multiplication?

Multiplication is an arithmetic operation that combines two or more numbers to find their product or the total number of objects in equal-sized groups. In multiplication, the numbers being multiplied are called factors, and the result is called the product.

The equation that could be used to find the number of boxes n Dominic sold is:

7n = 364

Where n represents the number of boxes Dominic sold and 7 is the price of each box.

To solve for n, we can divide both sides of the equation by 7:

n = 52

Therefore, Dominic sold 52 boxes of greeting cards during the fundraiser.

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Answer: n x 7=364

Step-by-step explanation: 7n = 364

Good luck with the Go Math Comulative Assessment Chapters 7-10 Room 240 ;)

Answer:

217

Step-by-step explanation:

we split the shape into 2 different rectangles and find the sum of their area.

small rectangle: 7 × 11 = 77

large rectangle 7 × 20 = 140

140 + 77 = 217

Answer:

\(A_{total} = 217\ cm^2\)

Step-by-step explanation:

Step 1:  Determine the area of the bottom rectangle

\(A = l * w\)

\(A = 14\ cm * 11\ cm\)

\(A = 154\ cm^2\)

Step 2:  Determine the area of the top rectangle

\(A = l * w\)

\(A = 7\ cm * (20\ cm - 11\ cm)\)

\(A = 7\ cm * 9\ cm\)

\(A = 63\ cm^2\)

Step 3:  Determine the total area

\(A_{total} = 154\ cm^2 + 63\ cm^2\)

\(A_{total} = 217\ cm^2\)

Answer:  \(A_{total} = 217\ cm^2\)

Answer:

y = 3x + 30

Step-by-step explanation:

This is what the table should look like.

Number of Bars Sold (x)           Total Earnings (dollars) (y)

0                                                 30

1                                                  33

2                                                 36

3                                                 39

When x = 0, y = 30. The point (0, 30) is the y-intercept.

As x goes up by 1, from 0 to 1, from 1 to 2, from 2 to 3, y goes up by 3, from 30 to 33, from 33 to 36, from 36 to 39.

A change of 1 in x results in a change of 3 in y.

That is a slope of 3 since

slope = (change in y)/(change in x)

The equation of a line in slope-intercept form is

y = mx + b

We have m = 3 and b = 30, so the equation is

y = 3x + 30

Answer: 3x + 30

The correct Python line to return subset data for the variables "survived" and "age" from a dataframe called "titanic" is subset = titanic[['survived', 'age']].

To extract a subset of data containing only the variables "survived" and "age" from the dataframe "titanic" in Python, you can use double brackets to specify the columns of interest. The line subset = titanic[['survived', 'age']] achieves this.

Here's a breakdown of the line:  

titanic[['survived', 'age']] is used to select the columns 'survived' and 'age' from the dataframe 'titanic'. The double brackets create a new dataframe with only the specified columns.

The resulting subset dataframe is then assigned to the variable 'subset' using the assignment operator '='.

You can use 'subset' to perform further operations or analyze the data containing only the 'survived' and 'age' variables.

By executing this line of code, you will obtain a new dataframe named 'subset' that contains only the columns 'survived' and 'age' from the original 'titanic' dataframe.

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The statement "the data point 5 lies outside the range of the data" is not true about the data shown by the box-and-whisker plot below.

To understand why the statement is not true, we need to interpret the box-and-whisker plot. The box represents the middle 50% of the data, with the bottom and top of the box indicating the 25th and 75th percentiles, respectively. The line inside the box represents the median. The whiskers represent the range of the data, with the endpoints of the whiskers indicating the minimum and maximum values, unless there are outliers.

Looking at the plot, we can see that the minimum value is 5, which is within the whisker range. Therefore, the statement "the data point 5 lies outside the range of the data" is not true. The statement "half the data lies between 37 and 51" is true, as the bottom and top of the box represent the 25th and 75th percentiles, respectively. The statement "the range is 57" is true, as the distance between the minimum and maximum values is 57. The statement "one fourth of the data is greater than 51" is also true, as the top of the box represents the 75th percentile.

Therefore, the correct statement is "the data point 5 lies within the range of the data."

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Step-by-step explanation:

To convert a value from meters/seconds to kilometers/hour you multiply by 3,6.

example:

1,2 m/s => 1,2x3,6 = > 4,32 km/h

78 km/h => 78/3,6 => 21,67 m/s

Answer:

36 km/hr

Step-by-step explanation:

To convert meters/second to kilometers/hour, we need to multiply the value in meters/second by 3.6 (which is 3,600 seconds per hour) and divide it by 1,000 (which is the number of meters in a kilometer). So the formula is:

kilometers/hour = (meters/second) x 3.6 / 1,000

For example, if we want to convert a speed of 10 meters/second to kilometers/hour, we can use the formula as follows:

kilometers/hour = (10 meters/second) x 3.6 / 1,000 = 36 kilometers/hour

Therefore, a speed of 10 meters/second is equivalent to 36 kilometers/hour.

Answer:

f(x)= -2|x-3|-1

(Hi Simran! I just wanted to help you with this question though it might be wrong)

Step-by-step explanation:

f(x) = a|x-h|+k

f(x)= a|x-3|-1

-7 = a |0-3| -1

-7 = a |-3| -1 <-- add to -7

-6 = a |-3|

-6 = 3a

-6/3 = a

-2 = a

-------------------------------------------------------------------------------------

The equation of the absolute value is f(x)= -2|x-3|-1

Answer:

C

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

The graph of g(x) is the graph of f(x) shifted 6 units left , then

g(x) = f(x + 6) → C

Answer:

B

Step-by-step explanation:

Probability distribution B

Using Gaussian elimination, the complete solution to the system of equations is (w, x, y, z) = (-8/19, 54/95, 39/19, 0).

To solve the system of equations using Gaussian elimination, we first write the augmented matrix:

\(\begin{bmatrix}1 & -4 & -1 & | & -5 \\0 & 5 & -2 & | & 5 \\0 & 9 & 1 & | & 6 \\0 & 1 & -2 & | & 1 \\\end{bmatrix}$$\)

Next, we perform row operations to reduce the matrix to row echelon form:

R2 = R2 - R1:

\(\begin{bmatrix} 1 & -4 & -1 & -5 & \big| & -21 \\ 0 & 5 & -2 & 5 & \big| & 6 \\ 1 & 5 & 0 & 1 & \big| & 23 \\ 0 & 1 & -2 & 1 & \big| & 6 \end{bmatrix}\)

R3 = R3 - R1:

\(\begin{bmatrix}1 & -4 & -1 & -5 & | & -21 \\0 & 5 & -2 & 5 & | & 6 \\0 & 9 & 1 & 6 & | & 44 \\0 & 1 & -2 & 1 & | & 6 \\\end{bmatrix}\)

R3 = R3 - 9R2:

\(\begin{bmatrix}1 & -4 & -1 & -5 & | & -21 \\0 & 5 & -2 & 5 & | & 6 \\0 & 0 & 19 & -39 & | & -14 \\0 & 1 & -2 & 1 & | & 6\end{bmatrix}\)

R4 = R4 - R2:

\(\begin{bmatrix}1 & -4 & -1 & -5 \\0 & 5 & -2 & 5 \\0 & 0 & 19 & -39 \\0 & 0 & 0 & -4\end{bmatrix}\)

Now we have the row echelon form of the augmented matrix, and we can solve for the variables using back substitution. From the last row, we have -4z = 0, so z = 0.

Substituting this into the third row, we get 19y = 39, or y = 39/19. Substituting these values into the second row, we get 5x - 10(39/19) = 6, or x = 54/95. Finally, substituting all three values into the first row, we get w = -8/19.

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Answer:

No

Step-by-step explanation:

It largely depends on required margin of error but I would say that the tested population size is going to be too small.

(-5, 3), (-1, 0), (0, 4) intervals does the intermediate value theorem guarantee that f(x) has a zero.

What is intermediate value theorem?

The Intermediate Value Theorem states that if a function is continuous on a closed interval and takes on two different values at the endpoints of the interval, then it must take on every value between those two values at some point within the interval.

To apply the intermediate value theorem to this problem, we need to find intervals where the function f(x) changes sign. That is, we need to find intervals where f(x) is positive on one end and negative on the other end, or vice versa. The intermediate value theorem guarantees that there is at least one zero of f(x) within each such interval.

For the function \(f(x) = 3x^2 - 1\), we can find the zeros by setting f(x) = 0 and solving for x:

\(3x^2 - 1 = 0\)

\(x^2 = 1/3\)

x = ±√(1/3)

Using these zeros, we can identify intervals where f(x) changes sign:

Therefore, the intermediate value theorem guarantees that f(x) has a zero on the following intervals:

So, the correct answers are:

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When a buh wa firt planted in a garden,it wa 12 inche tall. After two week, it wa 120% a tall a when it wa firt planted. Tall wa the buh after the two week is   \(\\26 \frac{2}{5}\).

What is improper fractions?

An improper fraction is a fraction whose numerator is equal to or greater than its denominator. 3/4, 2/11, and 7/19 are proper fractions, while 5/2, 8/5, and 12/11 are improper fractions.

12 times 120% + 12

12*120%+12

\($$\begin{aligned}& 120 \% \text { in fractions: } \frac{6}{5} \\& =12 \times \frac{6}{5}+12\end{aligned}$$\)

Follow the PEMDAS order of operations

Multiply and divide (left to right) \($12 \times \frac{6}{5}: \frac{72}{5}$\)

\(=\frac{72}{5}+12$$\)

Add and subtract (left to right) \($\frac{72}{5}+12: \frac{132}{5}$\)

\(=\frac{132}{5}$$\)

Convert improper fractions to mixed numbers: \($\frac{132}{5}=26 \frac{2}{5}$\)

\(=26 \frac{2}{5}$$\)

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The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

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Answer: He has 4 apples left.

Step-by-step explanation:

5-1=4

(hope this helps)

Answer:4

Step-by-step explanation: James had 5 apples which later he gave one to aliya so 5-1 is 4

Grouping symbols, Exponents, Multiply & Divide, Add & Subtract (GEMDAS). It is called by GEMS.

An effective acronym for teaching pupils the hierarchy of operations is PEMDAS.

The PEMDAS rule explains to pupils how to solve multi-step arithmetic problems and in what sequence to complete the operations to arrive at the right solution.

Groupings, Exponents, Multiplication or Division, Subtraction or Addition is referred to as GEMS. All grouping symbols, including parentheses, brackets, and braces, are referred to as groupings. The acronym GEMS has been adopted to take the role of PEMDAS. These can be used in place of one another.

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