Vincent is about to order a soft drink at a restaurant. the restaurant offers four drink sizes: small (s), medium (m), large (l), and extra large (xl) . each drink contains six ounces more than the next smaller drink. an extra large drink is 36 ounces. which equation can you use to find the number of ounces in a large drink?

The mean number is 8.7 and the outliers 1 and 2 reduce the mean value

The dataset is given as:

10, 12, 8, 11, 13, 9, 2, 1, 9, and 12​.

The mean number is calculated using:

Mean = Sum/Count

So, we have:

Mean = (10+ 12+ 8+ 11+ 13+ 9+ 2+ 1+ 9+12​)/10

Evaluate

Mean = 8.7

Hence, the mean number is 8.7

Outliers are relatively far from other data elements of the dataset

In the given dataset, 1 and 2 are far from other data element.

So, the outliers are 1 and 2

Because 1 and 2 smaller than other data elements, they affect the mean by reducing the mean value

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Answer:87/10 is the answer because there are no tens

Step-by-step explanation:

In the box plot, most of the data is clustered around 75 - 78 (option A).

A box plot is used to study the distribution and level of a set of numbers. The box plot has two whiskers and a box. The two whiskers represent the minimum value and the maximum value.

The first line on the box is the lower quartile. The next line on the box represents the median. The third line on the box represents the upper quartile. Majority of the data would lie between the first quartile and the third quartile.

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The carrying value represents the entry to record the retirement include loss on bond retirement of $2,000.

As given in the question,

Bond value = $300,000

Retired at = 98

Carrying value of bond = $296,000

Retirement value of the bond

= Bond Value × retired

= 300,000 × 98%

= ( 300,000 × 98 )/ 100

= $294,000

$296,000 > $294,000

⇒ Carrying value of bond > Retirement value

Loss on retirement = $ ( 296,000 - 294,000 )

                                = $2,000

Therefore, foe the given carrying value loss on bond retirement of $2,000.

The complete question is:

A $300,000 bond was retired at 98 when the carrying value of the bond was $296,000. the entry to record the retirement would include

a. loss on bond retirement of $2,000

b. gain on bond retirement of $2,000

c. gain on bond retirement of $4,000

d. loss on bond retirement of $4,000

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The function that models the averageTannual cost of owning a small dog for x years is f(x) = (180 + 400x) / x

The total cost of owning a small dog for x years can be expressed as the sum of the one-time cost and the continuing costs for x years, which is:

Total Cost = One-time Cost + Continuing Costs for x years

Total Cost = $180 + $400x

In this case, to find the average annual cost, we divide the total cost by the number of years:

Average Annual Cost = Total Cost / x

Average Annual Cost = ($180 + $400x) / x

Therefore, the function that models the average annual cost of owning a small dog for x years is: f(x) = ($180 + $400x) / x

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Answer:

If I'm correct I think its answer B

Step-by-step explanation:

I'm not sure but i hope this help

Answer:

second option

-∞ < x < 1

Step-by-step explanation:

Answer:

Perimeter: 14a+2b

Tickets:7x+6

Step-by-step explanation:

Perimeter: Add all the functions together

Tickets: Subtract 15x+1 by 8x-5.

Answer:

721 hours

Step-by-step explanation:

Skills needed: Multiplication, Logical Reasoning

1) First, we need to gather information:

--> November has 30 days

--> There are 24 hours in each day

2) This means that there are:

\(24 * 30\)  = 720 days in November without counting daylight savings.

3) With daylight savings:

--> We add one extra hour, since we go one hour back. So that day, 1:59 would go back to 1:00, with an extra hour.  So we add one to the total. \(720 + 1 = 721\) is your answer

Hope this helps and have a nice day! :) :}

Answer:

Jane payed $15.95 for the item.

Step-by-step explanation:

55% as a decimal is 0.55

You can multiply 0.55, or get 55%, of 29.

0.55x29 = 15.95

Now you have your answer!

Answer:

20/3

Step-by-step explanation:

By the property of equal intercepts made by transversals on parallel lines.

\( \frac{4x - 3}{x + 17} = \frac{1}{1} \\ \\ 4x - 3 = x + 17 \\ \\ 4x - x = 17 + 3 \\ \\ 3x = 20 \\ \\ x = \frac{20}{3} \\ \\ \)

The number line is plotted on the graph below

A line plot is a graph that shows data as points or check marks above a number line, indicating the frequency of each value.

If we need to compare two different groups , a line chart does have one advantage for visualizing frequency distributions

It displays information as a series of data points called 'markers' connected by straight line segments

Given data ,

Let the number line be represented by graph A

Now , the points on the graph are

A = { 4 , -3 , 1 }

The opposites of the number points A is given by

A' = { -4 , 3 , -1 }

The values of the sets A and A' are plotted on the line plot graph

Hence , the line plot is solved

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The expression that can be used to determine the total amount of Joe spent on gasoline and oil is 2.85g + 3.15c.

The number of gallons of gasoline he bought is 3.0 gallons.

Joe bought g gallons of gasoline for 2.85 dollars per gallons and c cans of oil 3.15 dollars per can.

Therefore, the expression that can be used to determine the total amount of Joe spent on gasoline and oil is as follows:

total amount = 2.85g + 3.15c

where

Joe spent 15 dollars . He bought 2 cans of oil . The amount of gallons of gasoline he bought can be calculated as follows:

15 = 2.85g + 2(3.15)

15 = 2.85g + 6.3

15 - 6.3 = 2.85g

8.7 = 2.85g

g = 8.7 / 2.85

g = 3.05263157895

Therefore,

g = 3.0 gallons of gasoline

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As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.

Similarity theorem:

In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Given,

Here we need to find the t value of will make the triangles similar by the similarity theorem.

For example, we are told that the 2 triangles are similar by SSS theorem.

Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem

Therefore, in the triangles ,applying the SSS postulate gives;

=> x/35 = 44/20

Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;

=> x = (44 * 35)/20

When we simplify this one then we get,

=> x = 77

Therefore, the value of x is 77.

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The negative correlation coefficient of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer suggests that as vitamin A consumption increases, the cancer rate tends to decrease.

A correlation coefficient measures the strength and direction of the linear relationship between two variables.

In this case, a correlation coefficient of -0.73 indicates a negative correlation between consumption of vitamin A and the cancer rate.

Interpreting this correlation, it can be inferred that there is an inverse relationship between the two variables. As consumption of vitamin A increases, the cancer rate tends to decrease.

However, it is important to note that correlation does not imply causation.

It would be incorrect to conclude that consuming more vitamin A causes this type of cancer. Correlation does not provide information about the direction of causality.

Other factors and confounding variables may be involved in the relationship between vitamin A consumption and cancer rate.

To establish a causal relationship, further research, such as experimental studies or controlled trials, would be necessary. These types of studies can help determine whether there is a causal link between vitamin A consumption and the occurrence of this particular cancer.

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The \(3X3\) matrix of the metric tensor \([g_m_j]\) is:  \(\left[\begin{array}{ccc}2&1&2\\1&2&2\\2&2&3\end{array}\right]\), The matrix of the mixed components [\(A_j_i\)] is:​\(\left[\begin{array}{ccc}-3&-3&-48\\1&0&13\\4&-1&2\end{array}\right]\), The matrix of the mixed components \([A_i_j]\) is: \(\left[\begin{array}{ccc}4&-4&7\\5&-1&10\\7&-4&12\end{array}\right]\), and The matrix of the covariant components \([A_i_j]\) is: \(\left[\begin{array}{ccc}-3&-3&-48\\10&1&3\\4&-1&2\end{array}\right]\)

(a) To obtain the matrix of the metric tensor \([g_m_j]\), we need to calculate the dot products between the basis vectors \(\epsilon^m\)and \(\epsilon^j\). The metric tensor is defined as \(g_m_j = \epsilon^m.\epsilon^j\)

Calculating the dot products:

\(\epsilon^1.\epsilon^1\) = (0, 1, 1) ⋅ (0, 1, 1) = 00 + 11 + 11 = 2

\(\epsilon^1.\epsilon^2\) = (0, 1, 1) ⋅ (1, 0, 1) = 01 + 10 + 11 = 1

\(\epsilon^1.\epsilon^3\) = (0, 1, 1) ⋅ (1, 1, 1) = 01 + 11 + 11 = 2

\(\epsilon^2.\epsilon^1\) = (1, 0, 1) ⋅ (0, 1, 1) = 10 + 01 + 11 = 1

\(\epsilon^2.\epsilon^2\) = (1, 0, 1) ⋅ (1, 0, 1) = 11 + 00 + 11 = 2

\(\epsilon^2.\epsilon^3\) = (1, 0, 1) ⋅ (1, 1, 1) = 11 + 01 + 11 = 2

\(\epsilon^3.\epsilon^1\) = (1, 1, 1) ⋅ (0, 1, 1) = 10 + 11 + 11 = 2

\(\epsilon^3.\epsilon^2\) = (1, 1, 1) ⋅ (1, 0, 1) = 11 + 10 + 11 = 2

\(\epsilon^3.\epsilon^3\) = (1, 1, 1) ⋅ (1, 1, 1) = 11 + 11 + 1*1 = 3

The matrix of the metric tensor \([g_m_j]\) is:  \(\left[\begin{array}{ccc}2&1&2\\1&2&2\\2&2&3\end{array}\right]\)

(b) To find the mixed components \([A_j_i]\), we multiply [\(A_i_m\)] with \([g_m_j]\). We use the Einstein summation convention and sum over the repeated index m. \([A_j_i]=[A_i_m][A_m_j]\)

Calculating the components:

\([A_1_1]=A_1_m*g_m_1=A_1_1*g_1_1+A_1_2*g_2_!+A_1_3*g_31=(-1)*2+(-1)*1+0*2=-3\)

\([A_1_12]=A_1_m*g_m_2=A_1_1*g_1_2+A_1_2*g_2_2+A_1_3*g_32=(-1)*11+(-1)*2+0*2=-3\)

\([A_1_3]=A_1_m*g_m_3=A_1_1*g_1_3+A_1_2*g_2_3+A_1_3*g_33=(-1)*2+(-1)*2+0*3=-4\)

\([A_2_1]=A_2_m*g_m_1=A_2_1*g_1_1+A_2_2*g_2_1+A_2_3*g_31=0*2+2*1+3*2=8\)

\([A_2_2]=A_2_m*g_m_2=A_2_1*g_1_2+A_2_2*g_2_2+A_2_3*g_32=0*1+2*2+3*2=10\)

\([A_2_3]=A_2_m*g_m_3=A_2_1*g_1_3+A_2_2*g_2_3+A_2_3*g_33=0*2+2*2+3*3=13\)

\([A_3_1]=A_3_m*g_m_1=3*2+(-2)*1+0*2=4\)

\([A_3_2]=A_3_m*g_m_2=3*1+(-2)*2+0*2=-1\)

\([A_3_3]=A_3_m*g_m_3=3*2+(-2)*2+0*3\)

\(=2\)

The matrix of the mixed components [\(A_i_j\)] is:​\(\left[\begin{array}{ccc}-3&-3&-4\\8&10&13\\4&-1&2\end{array}\right]\)

(c) To find the mixed components \([A_i_j]\), we multiply \([g_i_m]\) with \([A_m_j]\).

\([A_i_j]=[[g_i_m][A_m_j]\)

Calculating the components:

\([A_1_1]=g_i_1*A_1_j=g_1_1*A_1_1+g_1_2*A_2_1+g_1_3*A_3_1\)

\(=2*-1+1*0+2*3=4\)

\([A_1_2]=g_i_1*A_2_j=g_1_1*A_1_2+g_1_2*A_2_2+g_1_3*A_3_2\)

\(=2*-1+1*2+2*-2=-4\)

\([A_1_3]=g_i_1*A_3_j=g_1_1*A_1_3+g_1_2*A_2_3+g_1_3*A_3_3\)

\(=2*0+1*3+2*2=7\)

\([A_2_1]=g_i_2*A_1_j=g_2_1*A_1_1+g_2_2*A_2_1+g_2_3*A_3_1\)

\(=1*-1+2*0+2*3=5\)

\([A_2_2]=g_i_2*A_2_j=g_2_1*A_1_2+g_2_2*A_2_2+g_2_3*A_3_2\)

= 1 * (-1) + 2 * 2 + 2 * (-2) = -1

\([A_2_3]=g_i_2*A_3_j=g_2_1*A_1_3+g_2_2*A_2_3+g_2_3*A_3_3\)

= \(1*0+2*3+2*2=10\)

\([A_3_1]=g_i_3*A_1_j\)\(2*-1+2*0+3*3=7\)

\([A_3_2]=g_i_3*A_2_j=2*-1+2*2+3*-2\) \(=-2+4-6=-4\)

The matrix of the mixed components \([A_i_j]\) is: \(\left[\begin{array}{ccc}4&-4&7\\5&-1&10\\7&-4&12\end{array}\right]\)

(d) To find the covariant components \([A_i_j]\), we multiply \([A_i_m]\) with \([g_m_j]\)

\([A_i_j]=[A_i_m][g_m_j]\)

Since \([A_i_m]\) is the same as the contravariant components given in the problem, we can directly use the previously calculated values.

The matrix of the covariant components \([A_i_j]\) is: \(\left[\begin{array}{ccc}-3&-3&-48\\10&1&3\\4&-1&2\end{array}\right]\)

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Answer:

15.75

Step-by-step explanation:

Answer:

mag try sa chrome

Step-by-step explanation:

thank you

hope it's help

Given the expression:

We start from the inner asociative symbols: the parenthesis. We have that 3-3=0, then:

Now, we, have that 10^2=100 and 2(12)=24, then:

therefore, the simplified result of the expression x^2-2[12-(3-3)] is 76

Answer:

\(X= 15\)

Step-by-step explanation:

Since the angles are equal the equation to solve would be:

\(3x + 20 = 5x - 50\)

you will subtract 3x from 5x and get 2x

\(20 = 2x -50\)

subtract 20 from 50 to get 30

\(2x= 30\)

divide each side by 2

\(\frac{2x}{2} = \frac{30}{2}\)

\(X= 15\)

Hope this helps

To decrease the margin of error by a factor of 1/7, the sample size needs to be increased by a factor of 49.

To understand why this is the case, recall that the margin of error is a function of the sample size, the standard deviation of the population, and the confidence level. The margin of error is proportional to the inverse square root of the sample size, which means that if we want to decrease the margin of error by a factor of 1/7, we need to increase the sample size by a factor of 7.

However, increasing the sample size by a factor of 7 only decreases the margin of error by a factor of the square root of 7 (approximately 2.65). To decrease the margin of error by a factor of 1/7, we need to increase the sample size by a factor of 7 times the square of 2.65, which is approximately 49.

In other words, to decrease the margin of error by a factor of 1/7, we need to increase the sample size by a factor of 49. This means that we need to collect almost 50 times more data than we currently have in order to achieve the desired level of precision.

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When an algorithm necessitates extensive sharing of instantaneous results, parallelism slows it down. Because there are multiple independent parallel processes and the right number of threads, parallelism will speed up an algorithm.

The ones with data dependencies are the most challenging. It will be exceedingly challenging, for instance, if you are dealing with a vector and the input for the computation at point n depends on the output at position n-1.

When this occurs, you must comprehend what the original algorithm is doing and take an alternative approach. For the aforementioned case, it might be a difficulty with digital signal processing including a feedback-containing digital filter. These are challenging to parallelize, but that is not the sole solution. Instead, you might use the filter and signal's fast Fourier transforms, multiply them, and then perform the inverse transform. All of these operations can be partially parallelized.

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The number of solutions to x₀ + x₁ + ... + \(x_{k}\) = n with each value of x to be a non-negative integer xₐ is (n +  k).

Solved using the technique of stars and bars, also known as balls and urns.

Imagine you have n identical balls and k+1 distinct urns.

Distribute the balls among the urns such that each urn has at least one ball.

First distribute one ball to each urn, leaving you with n - (k+1) balls to distribute.

Then use k bars to separate the balls into k+1 groups, with the number of balls in each group corresponding to the value of xₐ.

For example, if the first k bars separate x₀ balls from x₁ balls, the second k bars separate x₁ balls from x₂ balls, and so on, with the last k bars separating \(x_{k-1}\) balls from \(x_{k}\) balls.

The number of ways to arrange n balls and k bars is (n + k) choose k, or (n +k) choose n.

This is the number of solutions to x₀ + x₁ + ... + \(x_{k}\) = n, where each xₐ is a non-negative integer.

Therefore, the number of solutions to x₀ + x₁ + ... + \(x_{k}\) = n with non-negative integer xₐ is (n +  k).

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The expression \([\sum_{i=2}^{9}(i-3)]\)means that we add up the values of the expression (i-3) for each integer value of "i" between 2 and 9 inclusive.

The symbol "i" represents the index of summation, which is a dummy variable that takes on all integer values between the lower and upper bounds of the summation. In this case, "i" ranges from 2 to 9, inclusive.

The lower bound of the summation is the smallest value that the index of summation can take. In this case, the lower bound is 2.

The upper bound of the summation is the largest value that the index of summation can take. In this case, the upper bound is 9.

The term being summed, which is (i-3) in this case, is the expression that is evaluated for each value of the index of summation. The summation symbol, which is a capital Greek letter sigma, indicates that the expression should be evaluated for every integer value of the index of summation, starting at the lower bound and ending at the upper bound, and all the values should be added together.

So, the expression\([\sum_{i=2}^{9}(i-3)]\)means that we add up the values of the expression (i-3) for each integer value of "i" between 2 and 9 inclusive.

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Answer:

Glass c

Step-by-step explanation:yw :)

A correlational result can be used to infer causality, but only if the value of r is greater than 0.

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Answer:

0.1345

Step-by-step explanation:

The bolded numbers are what is barred

345 is constantly repeated so that is what would be barred as that repeats for ever

Answer:

3/1345

Step-by-step explanation:

Answer:

for every foot they charge $2.50 time that by four you get $10

same with the last times $2.50 by 10 you get $25

and for the last you keep adding until you get $48.00 and that's 18 ft

Answer:

the answer would be 45.86

Step-by-step explanation:

look at the first digit after the decimal point if rounding to one decimal place or the second digit for two decimal places.

draw a vertical line to the right of the place value digit that is required.

look at the next digit.

if it's 5 or more, increase the previous digit by one.