if we wish to determine whether there is evidence that the proportion of items of interest is the same in group 1 as in group 2, the appropriate test to use is

For the given cost function, the maximum profit is $250.

What is profit maximization?

According to the firm theory, a company is founded with the intention of maximizing profits.

A company must run at the lowest possible cost while maximizing revenues in order to accomplish this.

When marginal costs and marginal revenue are identical, profits are maximized.

1. Determine the profit maximizing output.

For a firm in a competitive market, the marginal revenue is equal to the price (MR = P)

Get the MC by differentiating the total cost with respect to the quantity (Q)

C = 50 + 3Q^2

dC / dQ =6Q

MC = 6Q

Profit will be maximized when: MR = MC

MR = MC

60 = 6Q

Q =10

This is the profit maximizing output.

2. To get the maximum profits substitute this value into the equation:

Profit = Total revenue - Total cost

Profit = (P*Q) - (50 + 3Q^2)

Profit = (60*10) - (50 + 3*10^2)

Profit = 600 - 350

Profit = 250

Hence, for the given cost function, the maximum profit is $250.

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Answer:

D. -1,1, -1/7,1/7

Step-by-step explanation:

Use all the factors of the leading coefficient, 7. And also, all the factors of the constant, 1.

Put the factors of the constant on top (numerator). Put the factors of the leading coefficient on the bottom (denominator).

+- 1/1 and +- 1/7

Simplifying:

-1, 1, -1/7, 1/7

That's it. Just list of possibilities of the rational zeroes.

Answer: The answer is -1.525 which you don't have as an answer choice.

Step-by-step explanation:

−6.475+4.95

=−6.475+4.95

=−1.525

Hope this helps!!! :)

Yes. The societal trend in which members of the majority group are exempt from having to change while minority are forced to give up their cultural practices.

Given,

Social pattern;-

A social pattern is made up of social behavior types that are repeated and have a chance of happening again. These forms are also influenced by social behaviors in turn. Social behaviors are those that have significance attached to them and are focused on other people or a larger system (Weber)

Here,

The statement is true;

That is, The societal trend in which members of the majority group are exempt from having to change while minority are forced to give up their cultural practices.

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The correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9 is through multiplicative distributive property

We will calculate the value of x while showing the first step in solving the inequality, to provide better idea on complete solution. The correct first step is by using multiplicative distributive property as shown -

Rewriting the inequality -

–4(3 – 5x)≥ –6x + 9

Multiplying the values in each side of inequality

-12 + 20x ≥ -6x + 9

Rewriting the inequality according to terms

20x + 6x ≥ 9 + 12

Performing addition on each side of the equation

26x ≥ 21

So, x ≥ 21/26

Hence, the correct step is multiplicative distributive property.

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The complete question is -

What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

The required confidence interval for the population mean is  (6.296 , 7.104).

A confidence interval for a populace mean gives potential qualities the genuine populace mean will accompany a specific degree of certainty.

Standard deviation(S) = 1.9, Mean(x) = 6.7,  CL = 0.95 , n = 85

Then, α = 0.05

[tex]Z_{\alpha /2}\\[/tex] = [tex]Z_{0.25}[/tex]  = -1.96

Margin of error (E) = [tex]Z_{0.25}\\[/tex] ×S/√85

E = -1.96×1.9/9.21 = 0.404

Then lower level = x-E = 6.7-0.404 = 6.296

Upper level = 6.7+0.404 = 7.104

Thus, required interval is (6.296 , 7.104)

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Solution to the system of linear inequalities 2x - 3y <12, graph plotted below.

What is inequality ?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.

In this case, the inequality 2x - 3y <12

Related formula: 2x - 3y = 12.

Having x-intercept means

y = - intercept

Also, 2(0) - 3(0) < 12.

Hence the inequality 2x - 3y <12 holds good and the graph is plotted below.

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When a 100-n box is suspended by a rope from an overhead support and a horizontal force of 58 n is applied to the box, the angle with the vertical is 30.11°.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles. When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint.

Here,

If the object is held stationary, then all the forces must balance. This is called static equilibrium.

ΣFx=0

Tsinθ−58=0  ——- equation 1

ΣFy=0

Tcosθ−100=0  ——- equation 2

We now have two equation with two unknowns which allows us to solve for the cord tension  T  and the angle  θ .

Using equation 2:

T=100/cosθ

substitute this into equation 1:

(100/cosθ)sinθ=58

or

tanθ=58/100

θ=30.11°

The angle with the vertical is 30.11° as 100-n box is suspended by a rope from an overhead support and if a horizontal force of 58 n is applied to the box.

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There will be 90 games for 10 teams to play each other twice

There are ten teams in total.

Team 1 will play the match with rest of the 9 teams.

There will be 9 matches in total.

Similarly, team 2 will play rest of 8 teams as team 1 had already played with.

There will be 8 matches.

This will go like:

9 + 8+ 7 + 6 + 5 + 4 + 3 + 2 + 1

This series is a arthimetic progression with common difference is 1

The sum of a  a(a + 1)/2

9(9 + 1)/2

= 45

45.

Since each match will happen twice, there will be 90 matches.

Therefore, The 10 teams to play each other twice so there will be 90 matches in total.

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Answer:

y = -5/3x

Step-by-step explanation:

→ Rearrange to get y as the subject

3x + 4 = 5y

→ Divide both sides by 5

[tex]\frac{3x+4}{5} =y[/tex]   ⇔    [tex]y = \frac{3}{5}x +\frac{4}{5}[/tex]

→ Negatively reciprocate gradient

y = -5/3x

The vertex angle of an isosceles triangle is not equal to the base angles of the isosceles triangle.

Given, an isosceles triangle

and we are asked that is vertex angle congruent to the base angles,

Let suppose ABC is an isosceles triangle with AB = AC

as we know that the angles opposite to the equal sides are also equal.

so, ∠ABC = ∠ACB

now, if ∠ABC = ∠ACB = x

then, on using angle sum property, we get

∠ABC + ∠ACB + ∠BAC = 180°

x + x + ∠BAC = 180°

∠BAC = 180° - 2x

as, x ≠ 180° - 2x

therefore, ∠BAC ≠ ∠ABC

So, the vertex angle of an isosceles triangle is not equal to the base angles of the isosceles triangle.

Hence, the vertex angle of an isosceles triangle is not equal to the base angles of the isosceles triangle.

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Perpendicular lines (or segments) really structure four right points, regardless of whether only one of the right points is set apart with a case.

Let m and n be lines that converge line a. Let m be perpendicular to a. This implies that every one 4 of the points framed by the convergence of m and an are 90°.

Allow n to be opposite to a. This implies that every one 4 of the points framed by the convergence of n and an are likewise 90°.

Since the points are all consistent, this implies that the equivalent side inside points (between lines m and n) are harmonious. In the event that two same-side inside points are harmonious, the lines are equal. In a direction plane, two particular nonvertical lines are equal if and provided that they have a similar slant. Any two vertical lines are equal.

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jamie can make more biscuits than lit.

What do you mean by ordering of numbers ?

When you put a list of numbers in order, you rank them from least to greatest or greatest to least.

An effective tool for comparing and sorting numbers is a number line. From left to right, we read a number line, with the numbers nearer to the left having lower values.

Positive numbers are greater than all negative numbers.

According to the question:

lit has ingredients as

150 butter

75 cater sugar

180 plain flour

50 chocolate chip

and Jamie has ingredients as

800 butter

700 cater sugar

1000 plain flour

200 chocolate chip

As 150< 800 , so Jamie has more butter than lit

As 75 < 700 , so jamie has more cater sugar than lit.

As 180< 1000 , so jamie has more plain flour than lit.

As 50< 200 , so jamie has more chocolate chip than lit.

Therefore, jamie has all ingredients more than lit whoch means jamie can make more number of biscuits than lit.

Hence , jamie can make more biscuits than lit.

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Option E is correct. People who are not registered to vote may bias the sample results is not a legitimate concern about the procedure being used.

People who are not registered to vote may bias the sample results is not a legitimate concern about the procedure being used because the polling firm is specifically interested in surveying a representative sample of registered voters in the United States.

The procedure targets registered voters by calling random phone numbers within the United States.

Since the focus is on registered voters, people who are not registered to vote are not part of the target population for this survey.

Therefore, their presence or absence in the sample does not affect the representativeness of the sample for registered voters. Option E is correct.

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Complete question:

A polling firm is interested in surveying a representative sample of registered voters in the United States. The firm has automated its sampling so that random phone numbers within the United States are called. Each time a number is called, the procedure below is followed. - If there is no response or if an answering machine is reached, another number is automatically called. - If a person answers, a survey worker verifies that the person is at least 18 years of age. - If the person is not at least 18 years of age, no response is recorded, and another number is called. - If the person is at least 18 years of age, that person is surveyed. Some people claim the procedure being used does not permit the results to be extended to all registered voters. Which of the following is NOT a legitimate concern about the procedure being used? (A) Registered voters with children under the age of 18 years may be underrepresented in the sample. (B) Registered voters with unlisted telephone numbers may be underrepresented in the sample. (C) Registered voters who have more than one telephone number may be overrepresented in the sample. (D) Registered voters who live in households consisting of more than one voter may be underrepresented. (E) People who are not registered to vote may bias the sample results.

Answer: neither

What we know:

Process:

Slope of line 1

Set up equation                                                                    y2-y1/x2-x1

Substitute                                                                              9-(-3)/3-(-1)

Simplify                                                                                  12/4

Solve                                                                                      slope = 3

Slope of line 2

Set up equation                                                                   y2-y1/x2-x1

Substitute                                                                             11-1/5-0

Simplify                                                                                 10/5

Solve                                                                                     slope = 2

Relationship

3 is not equal to 2, so they are not parallel

The opposite reciprocal of 3 is -1/3, which is not equal to 2, so they are not perpendicular

The resulting polynomials include,

y = 2x³ + 4x² - x + 5

y = -3x² + 4x + 9

Given function,

2x³ + 4x² - x + 5 = -3x² + 4x + 9

A function with zeroes that are equal to the roots of a polynomial equation which system of equations can you use to find the roots,

For the polynomial function the roots are equal to the zeroes;

The obtained polynomials are,

y = 2x³ + 4x² - x + 5

y = -3x² + 4x + 9

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All the Options (1, 2, 3) are correct i.e., A is always similar to A. and  If A is most similar to B, then we can say B is similar to A. and at last If A is most similar to B and B is also similar to C, then A must be similar to C matrix.

Properties of Similar square Matrices : Similar matrices percentage many residences and it's miles those theorems that justify the selection of the word ``similar.'' First we can display that similarity is an equivalence relation. Equivalence members of the family are essential withinside the have a look at of diverse algebras and might continually be seemed as a sort of susceptible model of equality.

Sort of alike, however now no longer pretty equal. The perception of matrices being row-equal is an instance of an equivalence relation we were operating with on account. Row-equal matrices aren't equal, however they may be lots alike. For instance, row-equal matrices have the identical rank. Formally, an equivalence relation calls for 3 situations hold: reflexive, symmetric and transitive. We will illustrate those as we show that similarity is an equivalence relation.

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Standard deviation is used to measure the depth of a dataset relative to its mean and is taken by the square root of its variance.

The correct option is c.

The mean of X is 7 and the variance is 35.

                           2                                 12

Let Y be a random variable.

X and Y are binomials.

E(X-Y) = E (X) - E(Y)

Write the formula for the variance of X and Y.

Var(X-Y) = Var (X) - Var (Y)

where x and y are independent covers (x,y) is 0.

now,

Var(X-Y) = 35 + 35

                12    12

Because the standard deviation is the square root of the variance.

S.D = √((35/12) +(35/12))

So the correct option is c.

your question is incomplete but most probably the full question is

Let X be a random variable whose values are the number of dots that appear on the uppermost face when a fair die is rolled. The possible values of X are 1, 2, 3, 4, 5, and 6. The mean of X is 7/2 and the variance of X is 35/12. Let Y be the random variable whose value is the difference (first minus second) between the number of dots that appear on the uppermost face for the first and second rolls of a fair die that is rolled twice. What is the standard deviation of Y

a. √(35/12)

b. √(35/12) + √(35/12)

c. √{(35/12) + (35/12)}

d. √(35/12) - √(35/12)

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Total weight the bowl including the water and fih is 9.22 pound

What does math add mean?

To add is to integrate or bring two things together. The ability to add more than two numbers is then taught to students by building on this understanding. The foundational concept for understanding more complex operations like multiplication and division in higher grades is addition.

Given that :

An empty bowl weighted = 3.4 pound

A water that weighted = 5.12 pound

A fih that weighted = 0.7 pound

Total weight = A bowl + water + fih = 3.4 + 5.12 + 0.7 = 9.22 pound

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The equivalent resistance of the circuit is d)11.5 ohms. So, correct option is d.

We know very well that net resistance when resistors are connected in parallel and net resistance when resistors are connected in series is different.

So, we can see that three 4.7kΩ are connected in parallel.

So, using formula of net resistance in parallel

=>1/Rₙ=(1/R₁)+(1/R₂)+(1/R₃)

Therefore,1/Rₙ=1/4.7+(1/4.7)+(1/4.7)

=>1/Rₙ=3/4.7kΩ

=>Rₙ=4.7/3kΩ

=>Rₙ=1.5kΩ

Now, we have net resistance of three resistors.

Now, remaining three resistors are now connected in series

So, using formula of net resistance when resistors are connected in series=Rₙ=R₁+R₂+R₃

So, three resistors have resistance 4.7kΩ,1.5kΩ,5.2kΩ respectively

Therefore, Rₙ=4.7+1.5+5.2=11.5kΩ.

Hence, equivalent resistance is d)11.5kΩ.

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(Complete question) is:

Calculate the equivalent resistance in ohms of the following circuit : a)18100kΩ

b)11470kΩ

c)18.1kΩ

d)11.5kΩ

Answer Desisonw 2

Step-by-step explanation:

The solution set to the given inequality is

(-∞, -4) U (2,∞)

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

5(x – 2)(x + 4) > 0

First we solve for x, we replace the inequality sign by = sign

5(x – 2)(x + 4) = 0

Divide both sides by 5

(x – 2)(x + 4) = 0

Now we set each factor =0  and solve for x

x-2 =0 , so x= 2

x+4 =0, so x= -4

Now we use number line and make three intervals

First interval -infinity to -4

second interval -4 to 2

third interval 2 to infinity

Now we check each interval with our inequality

First interval -infinity to -4, pick a number in this interval and check with our inequality. lets pick -5

5(-5 – 2)(-5 + 4) > 0

35>0 is true

second interval -4 to 2, pick a number in this interval and check with our inequality. lets pick 0

5(0– 2)(0 + 4) > 0

-40>0 is false

Third interval 2 to infinity, pick a number in this interval and check with our inequality. lets pick 3

5(3 – 2)(3 + 4) > 0

35>0 is true

solution set are the intervals that make the inequalities true

(-∞, -4) U (2,∞)

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Question:

What is the solution set to the inequality 5(x – 2)(x + 4) > 0?

By using probability, it can be calculated that

a)  P(B U D) = [tex]\frac{13}{18}[/tex]

b) P([tex]A^{c} \cap C^{c}[/tex])  = [tex]\frac{1}{6}[/tex]

c)  P(B U D) is the probability that the person chosen is either under age 21 or a woman.

P([tex]A^{c} \cap C^{c}[/tex]) is the probability that the person chosen is either not aged above 21 or not a man

What is Probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

By

Number of men aged 21 and over = 5

Number of men aged under 21 = 4

Number of women aged 21 and over = 6

Number of women under 21 = 3

A = {The person is aged 21 and over}

B = {The person is under 21}

C = {The person is a male}

D= {The person is a female}
Total number of people = 5 + 4 + 6 + 3 = 18

a) P(B U D) = P(B)  + P(D) - P(B [tex]\cap[/tex] D) = [tex]\frac{7}{18} + \frac{9}{18} - \frac{3}{18} = \frac{13}{18}[/tex]

b) P([tex]A^{c} \cap C^{c}[/tex]) = [tex]P((A \cup C)^c)[/tex] = [tex]1 - ( \frac{11}{18} + \frac{9}{18} - \frac{5}{18}) = \frac{3}{18} = \frac{1}{6}[/tex]

c) P(B U D) is the probability that the person chosen is either under age 21 or a woman.

P([tex]A^{c} \cap C^{c}[/tex]) is the probability that the person chosen is either not aged above 21 or not a man

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Last month, ed spent $50 in all. He spent 40% of the money at the movies. So $20 Ed spend at the movies.

In the given question we have to find how much money ed spend at the movie.

Last month Ed spend total $50.

He spent 40% of the money at the movie.

Total money spent by Ed last month = $ 50.

Percentage of the money spent at the movies = 40%

Money spend by Ed at the movies=Percentage of the money spent at the movies * Total money spent by Ed last month

Money spend by Ed at the movies= 40% * $50

Money spend by Ed at the movies= 40/100 * $50

Money spend by Ed at the movies= 0.4* $50

Money spend by Ed at the movies= $20

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The cost of purchase of celery for the soup is $0.37

1 pound = 16 ounce

Each cup of celery weigh 4½ ounce = 9/2 ounce

16 ounce = 1 pound

9/2 ounce = (9/2)1/16 = 0.281

The yield percent for celery is 72%.

72% of x = 0.281

(72/100) x = 0.281

x = 0.281/(72/100)

x = 0.39 pound

each bunch weigh 1. 75 pound

Amount of bunch needed = 0.39/1.75 = 0.22

the celery for the soup cot if you purchae celery for $1. 66 a bunch

The cost of purchase = 0.22 x 1.66 = 0.37

Therefore, the cost of purchase of celery for the soup is $0.37

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Answer:

0

Step-by-step explanation:

(6-6)/(6-10)

0/-4

0

By evaluating the exponential equation, we will see that the amount that Erica owes after 6 years is $8551.56

Here we just need to use the exponential equation:

A = P*(1 + r/n)^(n*t)

Where A represents the amount owed t years after, and the other letters represent:

Replacing all that in the given quadratic equation we will get:

A = $5,300*(1 + 0.08/12)^(12*6) = $8551.56

Then the amount that Erica owes is $8551.56

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A solution to a system of equations is a value that, when substituted for unknown variables, causes the equations to be true.

A system of linear equations is made up of two or more linear equations made up of two or more variables, and all equations in the system are considered at the same time.

The set of all values that, when substituted for unknowns, make the equations true is referred to as the solution of a system of equations.

To find the unique solution to a system of linear equations, we must find a numerical value for each variable in the system that simultaneously solves all of the equations in the system.

Some linear systems have no solution, while others have an infinite number of solutions.

There are three types of two-variable linear equation systems and three types of solutions.

As a result, a solution to a system of equations is a value that, when substituted for unknown variables, causes the equations to be true.

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The polynomials are in standard form is x2 + 3x + 2, 3t3 + 3t2 + 2t 14

The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on. The standard form of polynomial is given by, f(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + aₙ₋₂xⁿ⁻² .....a₁x + a0, where x is the variable and ai are coefficients.

In the given options, when we analyse

x2 + 3x + 2 is given in standard form that is x2 + 3x + 2

15q 12q2 is not present in standard form

3t3 + 3t2 + 2t 14  is given in standard form

Therefore, the polynomials are in standard form is x2 + 3x + 2, 3t3 + 3t2 + 2t 14

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