write 8/4 as the sum of fractions three different ways. use the boxes below to enter the three different ways you can make your fractions with equations.

9514 1404 393

Answer:

  22

Step-by-step explanation:

The average of the 6 even integers is the odd integer halfway between the first three and the last three. That average value is 126/6 = 21, so the 4th integer is 21+1 = 22.

_____

All 6 are {16, 18, 20, 22, 24, 26}.

Answer:

its 8,9,13,23 or b

Step-by-step explanation:

toke the test

Answer:

8,9,13,23

Step-by-step explanation:

i took the test as well\

a. The entire collection of objects being studied is called the population.

b. A small subset from the set of all 2013 minivans is called a sample.

c. Consider the amount of sugar in breakfast cereals. This characteristic of breakfast cereal (objects) is called a variable.

a. Population: The population refers to the entire group or collection of objects, individuals, or units that are of interest in a study. It represents the complete set of items from which a sample is drawn. For example, if you are conducting a study on the heights of all adults in a particular country, the population would consist of every adult in that country.

b. Sample: A sample is a smaller subset or representative portion of the population. It is selected from the larger population with the intention of making inferences or generalizations about the population. Sampling is often done when studying an entire population is not feasible or practical. In the context of the example given, a sample of 2013 minivans could be randomly selected from the entire set of minivans produced in 2013.

c. Variable: A variable is a characteristic or attribute that can vary or take different values within a population or sample. In the given example of breakfast cereals, the amount of sugar is a variable. Variables can be quantitative, such as numerical measurements like weight or height, or qualitative, such as categories or labels like color or brand. In statistical analysis, variables are used to describe and analyze data, and they can be classified as independent variables (predictors) or dependent variables (outcomes).

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The statement "When graphing the equation y=2, the value of the abscissa is the same as the x-axis" is false.

In the given equation y=2, the y-coordinate is fixed at 2 for all points on the graph. The abscissa, also known as the x-coordinate, can take any value along the x-axis.

Each point on the graph will have a different x-coordinate, while the y-coordinate remains constant at 2.

When graphing the equation y=2, we would plot a horizontal line passing through the y-axis at the height of 2. The x-axis represents the values of the abscissa, which can be any real number. The x-axis and the abscissa are not the same; rather, the abscissa is a measurement along the x-axis.

Therefore, the statement "the value of the abscissa is the same as the x-axis" is false. The abscissa corresponds to the x-coordinate of a point on the graph, while the x-axis represents the horizontal axis of the coordinate system.

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Answer:

A

Step-by-step explanation:

The coordinates of point D in the parallelogram ABCD are (15, 10).

To find the coordinates of point D, we can use the properties of a parallelogram. In a parallelogram, opposite sides are parallel and congruent. Therefore, we can use this information to determine the coordinates of point D.

Let's consider the given points:

A(-3, 5)

B(7, 12)

C(5, 3)

Since opposite sides of a parallelogram are parallel, the vector connecting points A and B should be equal to the vector connecting points C and D. We can express this as:

AB = CD

To find the vector AB, we subtract the coordinates of point A from the coordinates of point B:

AB = (7 - (-3), 12 - 5)

= (10, 7)

Now, we can express the vector CD using the coordinates of point C and the vector AB:

CD = (5, 3) + (10, 7)

= (15, 10)

Therefore, the coordinates of point D are (15, 10).

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Answer:what

Step-by-step explanation:what does this mean

Lou and Mira can rescind the contract to sell an MP3 player to Mira for $50 if both parties agree to the terms of rescission and sign a written agreement.

Rescission of a contract refers to an equitable remedy granted by the courts or given as a contractual right to one party to terminate a contract. This remedy returns the parties to their former positions before the contract's execution, which requires that both parties to a contract return whatever benefits they had received during the transaction.

In Lou and Mira's scenario, the rescission of their contract to sell an MP3 player to Mira for $50 can be possible if the parties reach an agreement to rescind the contract in writing. The following steps should be taken to rescind the contract:

1. The parties should agree to rescind the contract: For a rescission to be effective, both parties must consent to rescind the contract. This is possible if both parties agree to the terms of rescission and sign a written agreement. The agreement must state the date of rescission, the reason for the rescission, and the terms of the agreement.

2. Restitution: Restitution refers to the return of the subject matter of the contract. Since it is an MP3 player, Lou must return the MP3 player to Mira. In turn, Mira must also return the $50 to Lou. This will effectively end the contract, and the parties can go their separate ways.

3. Cancellation of any obligations: The parties must agree to cancel any obligation that arose from the contract. In this case, no obligations may arise from the rescission of the contract, so no further action is required.

4. Record keeping: It is crucial to keep a record of the rescission agreement. This record will serve as evidence of the rescission if any legal issues arise. It should include the date of rescission, the reasons for rescission, and the terms of the agreement. The parties must keep a copy of the document for their records.

In conclusion, Lou and Mira can rescind the contract to sell an MP3 player to Mira for $50 if both parties agree to the terms of rescission and sign a written agreement. The agreement must include the date of rescission, the reason for rescission, and the terms of the agreement.

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The system has a unique solution because the values of X1, X2 and X3 are known and unique on each pivot.

Let's assume that we have a matrix of order 3x3 and in each column, there is a pivot variable.

A pivot is a leading coefficient in a  row of a matrix.  In reduced row-echelon form, a pivot is positioned to where the (1) value is located in a reduced matrix.

If the system or the three equations have a pivot in each column of the matrix, then we conclude that there are unique values of X1, X2 and X3 and they are known and unique.

Also note that there is a unique intersection point from these equations on a cartesian plane, and therefore the variables are unique.

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Step-by-step explanation:

All is explained in the photo

Interpreting the confidence interval, we can say with 96% confidence that the true difference in proportions of customers who would complete the survey when receiving a receipt with the contest offer versus those who receive a receipt without the contest offer lies between approximately -0.01675 and 0.05675.

To construct a confidence interval for the difference in proportions, we can use the formula:

CI = (p1 - p2) ± Z * √[(p1 * (1 - p1))/n1 + (p2 * (1 - p2))/n2]

Where:

- CI is the confidence interval

- p1 is the proportion of volunteers who completed the survey with the contest offer

- p2 is the proportion of volunteers who completed the survey without the contest offer

- Z is the critical value corresponding to the desired confidence level

- n1 is the sample size of volunteers who received the survey with the contest offer

- n2 is the sample size of volunteers who received the survey without the contest offer

In this case, we have p1 = 15/250 = 0.06, p2 = 10/250 = 0.04, n1 = n2 = 250, and a desired confidence level of 96%, which corresponds to a critical value of Z = 1.75 (approximately).

Substituting the values into the formula, we get:

CI = (0.06 - 0.04) ± 1.75 * √[(0.06 * (1 - 0.06))/250 + (0.04 * (1 - 0.04))/250]

Simplifying the calculation, we find:

CI = 0.02 ± 1.75 * √[(0.06 * 0.94)/250 + (0.04 * 0.96)/250]

CI ≈ 0.02 ± 1.75 * 0.021

CI ≈ 0.02 ± 0.03675

CI ≈ (-0.01675, 0.05675)

Interpreting the confidence interval, we can say with 96% confidence that the true difference in proportions of customers who would complete the survey when receiving a receipt with the contest offer versus those who receive a receipt without the contest offer lies between approximately -0.01675 and 0.05675.

This suggests that there may or may not be a significant difference in completion rates between the two groups, as the interval contains both positive and negative values. Further analysis or additional data may be needed to draw a more definitive conclusion.

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Answer:

3 3/4

Step-by-step explanation:

(4x+3)(x-8)+(x-1)(4x+3)=0

Factor out 4x+3

(4x+3)( x-8+x-1) =0

Combine terms

(4x+3) ( 2x-9) =0

Using the zero product property

4x+3 = 0    2x-9 =0

4x=-3         2x = 9

x = -3/4       x = 9/2

Sum the solutions

-3/4 + 9/2

-3/4 + 18/4

15/4

3 3/4

Using the binomial distribution, it is found that:

3.1 There is a 0.5033 = 50.33% probability that he makes at most one sale.

3.2 There is a 0.8322 = 83.22% probability that he makes at least one sale.

3.3. There is a 0.4404 = 44.04% probability that he makes two or three sales.

3.4. There is a 0.0011 = 0.11% probability that he makes six sales.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

Item 1:

The probability that he makes at most one sale is:

\(P(X \leq 1) = P(X = 0) + P(X = 1)\)

Then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{8,0}.(0.2)^{0}.(0.8)^{8} = 0.1678\)

\(P(X = 1) = C_{8,1}.(0.2)^{1}.(0.8)^{7} = 0.3355\)

Then:

\(P(X \leq 1) = P(X = 0) + P(X = 1) = 0.1678 + 0.3355 = 0.5033\)

There is a 0.5033 = 50.33% probability that he makes at most one sale.

Item 2:

The probability that he makes at least one sale is:

P(X > 1) = 1 - P(X = 0) = 1 - 0.1678 = 0.8322.

There is a 0.8322 = 83.22% probability that he makes at least one sale.

Item 3:

The probability that he makes two or three sales is given by:

\(P(2 \leq X \leq 3) = P(X = 2) + P(X = 3)\)

In which:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{8,2}.(0.2)^{2}.(0.8)^{6} = 0.2936\)

\(P(X = 3) = C_{8,1}.(0.2)^{3}.(0.8)^{5} = 0.1468\)

Then:

\(P(2 \leq X \leq 3) = P(X = 2) + P(X = 3) = 0.2936 + 0.1468 = 0.4404\)

There is a 0.4404 = 44.04% probability that he makes two or three sales.

Item 4:

The probability that he makes six sales is P(X = 6), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 6) = C_{8,6}.(0.2)^{6}.(0.8)^{2} = 0.0011\)

There is a 0.0011 = 0.11% probability that he makes six sales.

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This gives us a total of 1,583,616 ft-lbs of work required to pump the water out of the pool.

Amount is a numerical value that refers to the total sum of money or other type of payment due. It is used to quantify the size of a transaction, the cost of goods or services, or any other type of financial transaction. Amounts can be expressed in a variety of different currencies, and they can be negative (owing) or positive (owed).

To calculate the amount of work required to pump all the water from the rectangular swimming pool into a drain at the top edge, we must first calculate the volume of the water in the pool. Volume is calculated by multiplying the length, width, and depth of the pool, which in this case is 20 ft x 20 ft x 8 ft = 3,200 cubic ft. Since the pool is filled to 1 ft below the top, the volume of water is 3,200 ft3 - 20 ft3 = 3,180 ft3.

Next, we must calculate the weight of the water, which is the volume multiplied by the weight density of water (62.4 lb/ft3). The weight of the water in the pool is 3,180 ft3 x 62.4 lb/ft3 = 197,952 lbs.

Finally, to calculate the amount of work required to pump the water from the pool into a drain at the top edge, we must multiply the weight of the water (197,952 lbs) by the height of the drain (8 ft). This gives us a total of 1,583,616 ft-lbs of work required to pump the water out of the pool.

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To find the exponential function showing the relationship between y and t given that a petri dish had 1700 bacteria cells and the number of cells has increased by 2.2% each hour,

The following steps should be followed:

Step 1: Determine the exponential function of the form y = a * b(t).

Step 2: Determine the value of b

Step 3: Determine the value of a given the value of b and y.

Step 1: Determine the exponential function of the form y = a * b(t).

Since the function represents an exponential growth of bacteria cells, the function will take the form:

y = a * b(t), where: y = number of bacteria cells, a = initial amount of bacteria cells, b = rate of growth of bacteria cells t = number of hours since the start of the study

To find the value of a, use the fact that there were 1700 bacteria cells at the start of the study.

Thus, a = 1700, Therefore: y = 1700 * b(t)

Step 2: Determine the value of b. The number of cells has increased by 2.2% each hour.

Thus, the rate of growth, b = 1 + r, where r = 2.2% = 0.022.

Therefore, b = 1 + 0.022b = 1.022 therefore: y = 1700 * 1.022(t)

Step 3: Determine the value of a given the value of b and y. The value of y is not given, so we cannot determine the value of a. Therefore, the final exponential function showing the relationship between y and t is: y = 1700 * 1.022(t). The exponential function showing the relationship between y and t is: y = 1700 * 1.022(t)

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The equation in point slope form is y -6 = 3(x + 3)

(x₁, y₁) = (-3, 6)

(x₂, y₂) = (-2, 9)

Slope of the line,

m = (y₂ - y₁)/(x₂ - x₁)

m = (9 - 6)/(-2 - -3)

m = 3

Therefore, the equation in point slope form is given as,

(y - y₁) = m(x - x₁)

y - 6 = 3(x - -3)

y -6 = 3(x + 3)

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Answer:

25 cups

Step-by-step explanation:

Cause I’m right lol

Answer:

25 cups

Step-by-step explanation:

Your answer would be 230,000

Answer:

x = 7, -1

Step-by-step explanation:

The Measure of ∠BOC is 50 degrees.

The Angle Addition Postulate states that if point B lies in the interior of angle AOC, then the measure of angle AOB plus the measure of angle BOC is equal to the measure of angle AOC. Mathematically, it can be expressed as:

m∠AOB + m∠BOC = m∠AOC

Here are a few examples to illustrate how to use the Angle Addition Postulate:

Example 1:

Given that m∠AOB = 60 degrees and m∠BOC = 30 degrees, find the measure of ∠AOC.

Using the Angle Addition Postulate:

m∠AOB + m∠BOC = m∠AOC

60 + 30 = m∠AOC

90 = m∠AOC

Therefore, the measure of ∠AOC is 90 degrees.

Example 2:

If m∠AOB = 100 degrees and m∠AOC = 150 degrees, find the measure of ∠BOC.

Using the Angle Addition Postulate:

m∠AOB + m∠BOC = m∠AOC

100 + m∠BOC = 150

m∠BOC = 150 - 100

m∠BOC = 50 degrees

Therefore, the measure of ∠BOC is 50 degrees.

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a) To sketch the graph of the density function, we can use the exponential distribution formula: f(x) = λ * e^(-λx). Given λ = 0.04, the formula becomes f(x) = 0.04 * e^(-0.04x). On the x-axis, plot the time to failure (x), and on the y-axis, plot the density function (f(x)). As x increases, f(x) decreases exponentially.

b) To find the proportion of fans that will last at least 200 hours, we need to calculate the cumulative distribution function (CDF). The CDF is given by F(x) = 1 - e^(-λx). Substituting λ = 0.04 and x = 200, we get F(200) = 1 - e^(-0.04 * 200). This will give us the proportion of fans that last at least 200 hours.

c) To determine the lifetime of a fan to place it among the best 5% of all fans, we need to find the value of x such that the cumulative distribution function (CDF) is equal to 0.95. We can rearrange the CDF formula as follows: 0.95 = 1 - e^(-λx). Solve for x by taking the natural logarithm on both sides and rearranging the equation to get x = ln(0.05) / (-λ). Substituting λ = 0.04 into the equation will give us the lifetime of a fan to be among the best 5% of all fans.

In conclusion, a) sketch the graph of the density function, b) calculate the proportion of fans that will last at least 200 hours using the CDF formula, and c) determine the lifetime of a fan to place it among the best 5% of all fans using the CDF formula and the given λ value.

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The mass of Stewart's favorite frying pan in grams is 520 grams.

To convert the mass of Stewart's favorite frying pan from kilograms to grams, you simply need to multiply the mass in kilograms by 1000, since there are 1000 grams in 1 kilogram. In this case, the mass of the frying pan is 0.52 kilograms. To find the mass in grams, you can perform the following calculation:
0.52 kg × 1000 g/kg = 520 g
So, the mass of Stewart's favorite frying pan in grams is 520 grams.

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Answer:

\(x = 3.072 * 10^{-5}\)

Step-by-step explanation:

\(x = 12*0.2^8\)

\(x = 12 * 2.56E-6 = 0.00000256\)

\(x = 3.072E-5 = 0.00003072\)

The shortest length of fence that the rancher can use is 6000 ft.

What is meant by length?

The measuring of one thing from finish to finish or on its longest aspect, or a measuring of a selected a part of one thing is known as length.

Main Body:

x = width of rectangle

y = length of rectangle

A = area of rectangle = xy = 1500000 ft^2

L = length of fencing needed = 2(x + y) + x = 3x + 2y

L = 3x + 2(1500000/x) = 3x + 3(10^6)x^(-1)

As x –> 0+, L –> +inf.

As x –> +inf, L –> (3x)+.

Sketch and see that there will be a minimum in Quadrant I.

dL/dx = 3 - 3(10^6)x^(-2)

Extrema occur when dL/dx = 0:

3 - 3(10^6)x^(-2) = 0

(10^6)x^(-2) = 1

x^2 = 10^6

x > 0, so x = 1000 feet for shortest length.

Hence,Shortest L = 3000 + 3(10^6)(10^3)^(-1) = 6000 feet.

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The equations (x,y) | x + y > 1 and y (1/2)x + 2 have these solutions as their solutions.

To solve the system of inequalities without using graphs, we can use algebraic methods. First, we can rearrange the second inequality to slope-intercept form y < (1/2)x + 2.

This inequality represents a line with slope 1/2 and y-intercept 2. Next, we can identify the region of the coordinate plane that satisfies the first inequality, x + y > 1. This region is above the line x + y = 1. To check which side of the line satisfies the inequality, we can test a point, such as (0,1),

0 + 1 > 1

This is true, so the region above the line x + y = 1 satisfies the inequality.

Finally, we can combine the regions from the two inequalities to find the solution set. The solution set is the region above the line x + y = 1 and below the line y = (1/2)x + 2.

Therefore, the solution set can be expressed as,

{(x,y) | x + y > 1 and y < (1/2)x + 2}.

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Complete question - solve the given system of inequalities in two variables.

x + y > 1

y < 1/2x + 2

Answer:

\(a = l \times w \\a=(9.6x + 7) \times 2.5 \\ a = ( \frac{48}{5} x + 7) \times \frac{5}{2} \\ a = \frac{121}{10} x + \frac{35}{2} \\ a = 12.1x + 17.5 \: \: units ^{2} \)

Step-by-step explanation:

hopefully this makes sense

:)

T = 464.

8 times 58 = 464, so we do inverse operations

Answer: Use inverse operations to isolate the t; (multiplication.)

t/8 * 8 = t

58 * 8 = 464

The equation now looks like this:

t = 464

There is nothing left to simplify, so this is your answer.

Hope this helps!

The First Derivative Test is used to determine whether a given function is increasing or decreasing. The Second Derivative Test is used to determine the concavity of the function.The First Derivative Test is used when there is a need to find local maxima and minima of a function. This method involves the computation of the first derivative of the function to find the critical points.

If the value of the derivative is negative at a critical point, then that point is a local maximum. On the other hand, if the value of the derivative is positive at a critical point, then that point is a local minimum. If the derivative is zero at a critical point, then it could be a local maximum, minimum or an inflection point. If the sign of the derivative changes from negative to positive at a critical point, then it is an inflection point.

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we can calculate the slope with 2 points one more to the right than the other

i will use this points

and the equation of the slope

where the point (x2,y2) is the point to the right on this case (4,140) and (x1,y1)=(2,70)

the slope is 35, so you multiply the hours by 35 to find the Miles

Miles at 10 hours

we just multiply the hours by 35