5 3/4 + 11\8 = ????​

Would produce market a quantity of 2 and make a profit of $1.

The graph shows the market supply and demand curves for a perfectly competitive firm. If the market price is $3, the firm would be operating at the intersection of the demand curve (D) and the marginal cost curve (MC). At that price, the firm would produce a quantity of 2 and incur a total cost of $2 (the area of the rectangle formed by the marginal cost and quantity). Since the market price is higher than the marginal cost, the firm would make a profit of $1 (the area of the triangle formed by the market price and quantity).

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To solve the given linear programming (LP) problem using the graphical LP approach, we will plot the feasible region, identify the corner points, and determine the optimal solution.

Here are the steps:

Step 1: Plot the constraints:

- Plot the line 5x + y = 32, which represents the constraint 5x + y ≤ 32. To do this, find two points that lie on this line by assigning values to x and solving for y. For example, when x = 0, y = 32, and when x = 6, y = 2. Connect these points to draw the line.

- Plot the line x + 3y = 12, representing the constraint x + 3y ≥ 12. Again, find two points on this line and connect them. For instance, when x = 0, y = 4, and when x = 12, y = 0.

- Draw the lines representing x = 20 and y = 20 as vertical and horizontal lines passing through x = 20 and y = 20, respectively.

Step 2: Identify the feasible region:

- Shade the area that satisfies all the constraints. The feasible region is the intersection of the shaded regions.

Step 3: Identify the corner points:

- Find the coordinates of the corner points of the feasible region. These points are the intersections of the lines representing the constraints.

Step 4: Evaluate the objective function:

- Calculate the objective function Z = 3x + 12y for each corner point.

Step 5: Determine the optimal solution:

- Identify the corner point that gives the minimum value of the objective function Z. This point corresponds to the optimal solution of the LP problem.

Once you have completed these steps, you will have the complete solution to the LP problem using the graphical LP approach.

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Answer:

14+16

Step-by-step explanation:

The range of the given graph is the option B that is [0,10].

We know that,

Time (in minutes) in the x-axis represents the domain of the graph and

Distance (in meters) in the y-axis represents the range of the graph.

We have to find the range of the given graph.

We know that,

Highest value of distance in the graph is 10 meters when the time is 7 seconds.

Also, the smallest value of distance in the graph is 0 meters when the time is 18 seconds.

Hence, the range of the given graph is [0,10] which is the option B.

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Alternative hypothesis may be one-sided or two-sided.

b) alternative hypothesis.

In statistical hypothesis testing, the alternative hypothesis is one of the suggested propositions in the hypothesis test. In general, the purpose of a hypothesis test is to demonstrate that, under the given conditions, there is sufficient evidence to support the believability of an alternate hypothesis rather than the test's exclusive statement (null hypothesis). Because it is based on a review of the literature and previous studies, it is usually congruent with the research hypothesis. However, the research hypothesis is sometimes congruent with the null hypothesis.

In statistics, alternative hypotheses are frequently denoted as Hₐ or H₁. In a statistical hypothesis test, hypotheses are developed to be compared.

In the field of inferential statistics, two competing hypotheses can be compared using explanatory and predictive power.

This is the two tailed test .

alternative hypothesis is ,

Hₐ :μ≠

For the left tail is

Hₐ : μ<

For the right tail is

Hₐ :  μ >

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The complete question is :

"In hypothesis testing, which hypothesis can be either one-sided or two sided?

Group of answer choices

a.) null hypothesis

b.) alternative hypothesis"

Answer:

22

Step-by-step explanation:

Use a proportion.

30/15 = 44/x

30x = 15 × 44

2x = 44

x = 22

Answer:

22

Step-by-step explanation:

30 miles/ 15 sessions of tract practice

Per practice Jack is running a total of 2 miles.

So 44 miles/2 miles

22 sessions of track practice

The winner got a total of 42 votes.

This can be defined as a number or ratio expressed as a fraction of 100. It is usually calculated by parts/whole × 100.

In this scenario, Jane was the winner as she got a higher percentage of votes. To calculate the exact number of vote we have to do the following:

70%/100% × 60 = 42 votes.

Therefore, the total number votes the winner got is 42.

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Answer:

her speed is answer in m/s A 4 m/a

Answer:

statement: segment HA is parallel to seg HD and seg HD is parallel to seg AN.

Reason: given

statement: angle 1 is congurent to angle 3.

reason: alternate interior angles are congruent.

statement: angles 2 and 4 are congruent

reason: alternate interior angles are congruent.

statement: Seg DA is congruent to seg DA

reason: reflexive property

statement: angle AHD is congruent to angle AND

reason: since angles 1 and 3 are congruent, and 2 and 4 are congruent, and HDA is a triangle, same with AND, the last angle must be congruent.

statement: seg HD is congruent to seg NA and HA is cong to ND.

reason: ASA angle side angle theorem states that if 2 angles and a side is congruent to the corresponding parts of another triangle, then it is congruent.

Step-by-step explanation:

According to the information, the lateral area of the room is 112m²; the area to be painted is 109.4m²; the volume is 185.76m³ and the floor area is 46.44m².

To calculate the area of the lateral surface of the room we must find the area of all the sides and then add it as shown below:

To find the area of the surface to be painted, excluding windows and doors, we must find the area of the doors and windows and subtract it from the total lateral area as shown below:

To find the volume of the room, we must multiply the height, by the length, by the width as shown below:

To find the surface area of the floor we must multiply the length of the width by the length of the length as shown below:

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A basis for Col A is (-2,2,0,0) and (4,-6,0,0). A basis for Nul A is (2,1,0,0), (-1,0,1,1/2), and (-2,0,0,1). These bases were found using the row reduced form of A.

Since A is row equivalent to B, they have the same row space, null space, and column space. Thus, we can find the bases for Nul A and Col A using the row reduced form of A, which is

\(\left[\begin{array}{cccc}1&-2&1&2\\0&1&1/2&-1\\0&0&0&0\\0&0&0&0\end{array}\right]\)

To find a basis for Col A, we can take the columns of A that correspond to the pivot columns in the row reduced form. In this case, the pivot columns are the first and second columns. Therefore, a basis for Col A is

(-2, 2, 0, 0), (4, -6, 0, 0)

To find a basis for Nul A, we need to solve the system of homogeneous linear equations Ax = 0, which is equivalent to solving the system of equations corresponding to the row reduced form. Letting the free variable be t, we have

x¹ - 2x² + x³ + 2x⁴ = 0

x² + (1/2)x³ - x⁴ = 0

Expressing x¹ and x⁴ in terms of x² and x³, we get

x¹ = 2x² - x³ - 2x⁴

x⁴ = (1/2)x³ - x²

Thus, any solution to Ax = 0 can be written as

x = (2x² - x³ - 2x⁴, x², x³, (1/2)x³ - x²) = x²(2, 1, 0, 0) + x³(-1, 0, 1, 1/2) + x⁴(-2, 0, 0, 1)

Therefore, a basis for Nul A is

(2, 1, 0, 0), (-1, 0, 1, 1/2), (-2, 0, 0, 1)

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The expression that has a value greater than 4,562 is A.4,562 times three-halves

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this case, 4,562 times three-halves will be:

= 4562 × 3/2

= 6843

4,562 x 1 is 4562

4,562 times one-half is:

= 4562 × 1/2

= 2281

4,562 times one-fourth is:

= 4562 × 1/4

= 1140.5

Therefore, the correct option is A.

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Answer:

\(\frac{5}{-2}\)

Step-by-step explanation:

Slope (m) formula = \(\frac{rise}{run}\) =\(\frac{y2-y1}{x2-x1}\)

Insert the points (-3,-1),(-5,4)

\(\frac{4--1}{-5--3}\)=\(\frac{5}{-2}\)

Answer:

The slope of the line is 5/-2.

Step-by-step explanation:

You may use the slope method for the method on getting the answer. One is attatched for you to see.

A graph is also shown for you.

Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

The domain of the function f(x) is:

11 ≥ x

Here we have the function:

\(f(x) = \sqrt{11 - x}\)

Now, remember that the argument of a square root can only be a number equal to or larger than zero, so the domain of our function is defined by:

11 - x ≥ 0

Then, solving this for x, we get:

11 ≥ x

Concluding, the domain of the function f(x) is:

11 ≥ x

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Answer: Both the metal casing and tip of the bulb are connected to the circuit, forming a closed circuit. Thus, electricity is able to flow through the wires in the circuit to the filament, allowing the bulb to light up.

As the sample size becomes larger, the sampling distribution of the sample mean approaches a normal distribution.

In the theory of probability, the central limit theorem states that the distribution of a sample mean approximates a normal distribution as the size of the sample increases. For the central limit theorem to hold, it is necessary that the sample size at least cross a margin of 30. Having a sufficiently larger sample size can predict the characteristics of the sample more accurately. The central limit theorem is applicable when we are analyzing large data sets.

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If there were only twenty-two students instead of fifty-two who contributed their moms' heights and we wanted to use a one-sample confidence interval procedure (whether it would be z or t), we would have had to assume that the population of mom-heights was normally distributed.

The one-sample confidence interval is used to estimate the true population mean based on a sample mean and standard deviation. The procedure assumes that the sample is a random sample from a normally distributed population. With a sample size of at least 30, the central limit theorem allows for the use of a z-test to construct the confidence interval. With a smaller sample size, a t-test would be more appropriate. However, the assumption of normality still needs to hold for the validity of the confidence interval.

If the sample size is smaller than 30, the assumption of normality can be replaced by the assumption of approximately normal data. This means that the data follows a distribution that is symmetric and bell-shaped, even if it is not exactly normal.

However, the validity of the confidence interval can be compromised if the data is highly skewed or contains outliers. In such cases, it may be necessary to use non-parametric methods to construct a confidence interval.

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The probability that Bob is the last customer to leave the post office comes out as (1 - e^(-λx))^2. The probability that Bob is the last customer to leave the post office can be calculated using the exponential distribution formula.

The exponential distribution is a continuous probability distribution used to model the time between events in a Poisson process. The formula for the exponential distribution is: P(X=x) = λe^(-λx)

Where X is the random variable representing the time between events, λ is the rate parameter, and e is the base of the natural logarithm.


P(Bob is the last customer to leave) = P(Bob's serving time > Alice's serving time) * P(Bob's serving time > Claire's serving time). Since the serving times follow an exponential distribution with parameter λ, we can use the formula to calculate the probabilities:

P(Bob's serving time > Alice's serving time) = ∫_0^∞ λe^(-λx) dx = 1 - e^(-λx)
P(Bob's serving time > Claire's serving time) = ∫_0^∞ λe^(-λx) dx = 1 - e^(-λx)

P(Bob is the last customer to leave) = (1 - e^(-λx))^2
Therefore, the probability that Bob is the last customer to leave the post office is (1 - e^(-λx))^2.

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Answer:

Step-by-step explanation:

The average cost per book when printing 100 books using the publish-on-demand service is $14.

The cost of printing x books using the publish-on-demand service is given by the function:

c(x) = 1,000 + 4x

The average cost per book is given by the function:

e(x) = c(x)/x = (1,000 + 4x)/x

To find the given quantities, we can evaluate the functions at a particular value of x. Let's choose x=100 as an example:

c(100) = 1,000 + 4(100) = 1,4000

This means that the cost of printing 100 books using the publish-on-demand service is $1,400.

e(100) = (1,000 + 4(100))/100 = 14

This means that the average cost per book when printing 100 books using the publish-on-demand service is $14.

Interpretation:

The function c(x) represents the total cost of printing x books using the publish-on-demand service. The constant term 1,000 represents the fixed cost of using the service, and the coefficient of x, 4, represents the variable cost per book.

The function e(x) represents the average cost per book when printing x books using the publish-on-demand service. It is obtained by dividing the total cost by the number of books printed.

When x=100, the cost of printing 100 books using the publish-on-demand service is $1,400, which means that the average cost per book is $14. This interpretation can be useful for a publisher who wants to estimate the cost and profitability of printing a certain number of books using the publish-on-demand service.

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Hi there, here's your answer:

Given, a basketball team averaged 68 points per game in the last season and averaged 77 points per game in the present season.

To find:

The approximate percentage of increase.
Solution:

If 68 points was the average last season, and 77 points was the increase this season, then the number of increase in points is 9.

Also we have that % increase = \(\frac{Difference}{Original}\) × 100

Which is \(\frac{9}{68}\) × 100 = 0.1323 × 100 = 13.23%

Therefore, the approximate percent increase is 13%.

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The ice cream costs $0.10 and the pie costs $2.10.

Let's call the cost of the ice cream "x".

According to the problem,

The pie costs $2 more than the ice cream, so the pie costs x + $2.

And, together, the pie and ice cream cost $2.20, so:

x + (x + $2) = $2.20

Expanding and solving for x:

2x + $2 = $2.20

2x = $0.20

x = $0.10

A linear equation is an algebraic equation with simply a constant and a first-order (linear) component of the form y=mx+b, where m is the slope and b is the y-intercept.

The above is sometimes referred to as a "linear equation with two variables," where y and x are the variables.

Ax+By=C is the typical form for linear equations in two variables.

2x+3y=5, for example, is a simple linear equation.

It is rather simple to get both intercepts when an equation is stated in this way (x and y).

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The 4-period weighted moving average forecast in period 6 is 125.

Given the following data and 4-period weighted moving average.

The weights of the four periods are, 0.13, 0.18, 0.27, and X, for the OLDEST to NEWEST periods, respectively.

The summation of all four weights is equal to 1. Compute the 4-period weighted moving average forecast in period 6.

Entering the given data and X, the summation of all the weights should equal to 1.

0.13 + 0.18 + 0.27 + X = 1

⇒ 0.58 + X = 1

⇒ X = 1 − 0.58

⇒ X = 0.42

We can use the formula below to calculate the 4-period weighted moving average in period 6:

WMA_6$= (X6 × w1) + (X5 × w2) + (X4 × w3) + (X3 × w4)

WMA_6$= (149 × 0.13) + (120 × 0.18) + (111 × 0.27) + (131 × 0.42)

WMA_6$ = 19.37 + 21.60 + 29.97 + 55.02

WMA_6$ = 125

Therefore, the 4-period weighted moving average forecast in period 6 is 125.

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The method of periodization that an athlete performs is  traditional periodization method.

Given,

An athlete perform five sets of five repetitions at 90% of 1rm on the first day of the week, five sets of fourteen repetitions at 85% of 1rm on the next training day, and five sets of two repetitions at 62.5%of 1rm on the last training day of the week;

Here,

The example above, where the percentage of one-repetition maximum (1RM) decreases as the training day progresses, is essentially a traditional periodization method.

As a result, during the course of the training cycle, the athletes' completed work gradually grows. As a result, as the load increases over time, there is a corresponding decrease in volume.

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Non of the above Statement is true.

Standard deviation is a mathematical measure of how spread out a dataset is. It is a measure of the variation or dispersion of a set of values from the mean. It is calculated by taking the square root of the variance. Standard deviation can be used to measure the risk associated with an investment, to compare data sets, or to measure the accuracy of a data set.

The standard deviation is a measure of the dispersion of a set of data from its mean, and it is always a non-negative number. It can sometimes be zero, and it can also be larger than the variance.

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Answer:

90°

Step-by-step explanation:

It looks slightly obvious, but here's the complicated explanation.

Converse of the Consecutive Interior Angles Theorem. Solve.

x+96+x+96=180

Simplify.

2x+192=180

Subtraction Property of Equality (subtract 192 from both sides to isolate 2x).

2x=-12

Division Property of Equality (divide both sides by 2 to isolate x).

x=-6

Now that you have your x value, plug it in into your bolded equation.

x+96

-6+96

Simplify.

90°