suppose that a department contains 12 men and 15 women. how many ways are there to form a committee with six members if it must have more women than men?

Answer:

It is going to be G - 3,024 m²

Step-by-step explanation:

:)

Answer: 12

Step-by-step explanation:

6y - 3z

6(4) - 3(4)

24 - 12

12

So, the dimensions that give the largest printed area are 6.5 inches by 8 inches, with 1-inch margins at the bottom and sides, and a 2-inch margin at the top.

Let the dimensions of the printed area be x and y. Then we have:

The bottom margin is 1 inch, so the height of the poster is y + 2 + 1 = y + 3 inches.

The side margins are 1 inch each, so the width of the poster is x + 2 inches.

The top margin is 2 inches, so the height of the printed area is y.

Therefore, the total area of the poster is:

A = (y + 3) * (x + 2)

Expanding this expression, we get:

A = xy + 3x + 2y + 6

To maximize the printed area, we need to find the values of x and y that maximize A. To do this, we can use calculus. We differentiate A with respect to x and y, and set the derivatives equal to zero to find the critical points:

dA/dx = y + 3 = 0

dA/dy = x + 2 = 0

Solving these equations simultaneously, we get:

y = -3

x = -2

These values are not physically meaningful, since x and y represent dimensions of a poster and cannot be negative. However, they tell us that A has no local maxima or minima. Therefore, to maximize A, we need to consider the endpoints of the feasible region, which are determined by the margins.

The feasible region is a rectangle with height y = 11 - 2 - 1 = 8 inches and width x = 8.5 - 2 = 6.5 inches. Therefore, the maximum area is:

A = (8 * 6.5) - (3 * 2)

= 46 square inches

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Learning math can be a challenging task, but with persistence, hard work, and effective study strategies, it is definitely possible to improve your math skills.

Start with the basics: Make sure you have a good foundation in basic math concepts before moving on to more advanced topics. Practice basic arithmetic, fractions, decimals, and percentages until you feel comfortable with them.

Focus on understanding, not just memorizing: Math is not just about memorizing formulas and equations; it's about understanding how and why they work. Focus on understanding the underlying concepts and principles.

Practice regularly: The more you practice, the better you will get. Try to set aside some time each day to practice math problems. This will help you build your skills and improve your understanding.

Use multiple resources: Don't just rely on one textbook or resource. Use multiple resources such as online tutorials, videos, practice problems, and textbooks to get a well-rounded understanding of the topic.

Seek help when needed: Don't hesitate to ask for help if you are struggling with a particular topic. You can reach out to a teacher, tutor, or online community for help.

Stay motivated: Math can be challenging, but it's important to stay motivated and not give up. Keep a positive attitude, celebrate your successes, and remember that every mistake is an opportunity to learn and grow.

Remember that learning math takes time and effort, so don't get discouraged if you don't see immediate results. With persistence and hard work, you can become proficient in math.

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Answer:(1,7.5)

Step-by-step explanation:

Use Midpoint Formula

The Coase theorem is an economic theory that states that in the absence of transaction costs, the allocation of resources and the distribution of wealth will be efficient regardless of how property rights are assigned.

In this context, the theorem reminds us that efficiency is all about maximizing total welfare, rather than focusing solely on the allocation of resources or the distribution of wealth. When transaction costs are low or non-existent, parties can negotiate with each other to reach mutually beneficial agreements that maximize their combined welfare. This means that ownership of property or resources is less important than the ability of parties to freely negotiate with one another.

For example, imagine two neighboring farms: one produces apples and the other produces honey. If the apple farmer's use of pesticides harms the bee population and reduces the honey farmer's production, the honey farmer could demand compensation from the apple farmer. If transaction costs are low, the two farmers could negotiate a solution that is mutually beneficial, such as the apple farmer paying for the honey farmer to relocate their bees to a safer area. In this scenario, the assignment of property rights is not as important as the ability of the two parties to negotiate and reach an agreement that maximizes their total welfare.

Overall, the Coase theorem highlights the importance of considering the broader impacts of economic decisions and recognizing that efficiency depends on maximizing the overall benefits to all parties involved, rather than just focusing on individual outcomes.

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57°

Step-by-step explanation:

angle of RAD is the double of RBD

Answer: 1/2

Step-by-step explanation:

( see image ) ( Keep Change Flip )

Answer:

first you will need to break the shape into a semi circle and a triangle.

then solve the area of the semi circle. which is

\( \frac{(3.14) \times r ^{2} }{2} \\ \)

\( \frac{(3.14) \times 4.6^{2} }{2} \\ = 33.22\)

Then solve the area of the triangle.

First work out the height of the triangle, which is

\(13.4 - 4.6 = 8.8\)

then the area. which is

\( \frac{1}{2} 4.6 \times 8.8 \\ = 20.24\)

now calc. the two figures. which is

\(20.24 + 33.22 \\ = 53.46\)

StartFraction 36 + 9 StartRoot 7 EndRoot + 4 StartRoot 2 EndRoot + StartRoot 14 EndRoot Over 9 EndFraction is the Square root.

What in mathematics is a square root?

It is possible to multiply an integer by its square root in order to obtain the original value.

                         Square root is represented by the symbol sqrt, which stands for square root of, end square root. The opposite of squaring an integer is finding its square root.

(9 + sqrt(2))/(4 - sqrt(7))

Multiply and divide by 4 + sqrt(7)

[(9 + sqrt(2))(4 + sqrt(7))]/(4² - 7)

[36 + 4sqrt(2) + 9sqrt(7) + sqrt(14)]/9

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On solving the provided question we can say that As a result, the credit equation limit of a client who has paid on time every year for the past ten years is $7,000.

A mathematical equation is a formula that links two statements and uses the equals sign (=) to indicate equality. In algebra, an equation is a statement that demonstrates the equality of two mathematical expressions. The equal sign divides the variables 3x + 5 and 14 in the equation 3x + 5 = 14, for instance.

The relationship between the two sentences that are located on opposite sides of a letter is explained by a mathematical formula. Frequently, the symbol and the single variable are identical. like in 2x - 4 = 2, for example.

The following equation determines the credit limit, Ln, of customers who have made on-time payments each year and are in the nth year of card ownership:

Ln = $2,000 + $500n

where Ln stands for the credit limit in the nth year and n is the number of years the cardholder has had it.

In the equation above, we substitute n=10 to get a customer's credit limit after ten years of card use:

L10 = $2,000 + $500(10)

L10 = $2,000 + $5,000

L10 = $7,000

As a result, a client with a ten-year history of on-time payments has a credit limit of $7,000.

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Answer:

Add 8x to both sides of the inequality.

Step-by-step explanation:

Using the sample space, the probability of rolling an even number with a six-sided dice is 3/6 or 1/2.

In the given question we have to find the probability of rolling an even number with a six-sided dice.

The sample space of dice through the experiment is

{1,2,3,4,5,6}

The even numbers is {2,4,6}.

The probability of rolling an even number with a six-sided dice is

P(E)=Total number of even outcome/Total number of outcome

P(E)=3/6

P(E)=1/2

Hence, the probability of rolling an even number with a six-sided dice is 3/6 or 1/2.

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The time taken until they are 45 miles apart is 30 minutes

The speed of first train = 55 mph

The speed of second train = 35 mph

The first train is travelling north and second train in travelling south.

Therefore both of the trains are travelling opposite directions.

The relative speed of the trains = The speed of the first train + The speed of the second train

Substitute the values in the equation

= 55+35

= 90 mph

Speed = Distance / Time

Time = Distance / Speed

Time taken until they are 45 miles apart = 45/90

= 1/2 hours

= 30 minutes

Hence, the time taken until they are 45 miles apart is 30 minutes

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Answer:

$122.28

Step-by-step explanation:

Give the following :

Insurance worth = $240,000

Price sold = $225

P(survival) = 0.999572

P(death) = 1 - 0.999572 = 0.000428

If she survives, insurance firm makes $225

If she dies, insurance firm pays $240,000, hence the company losses :

$(225 - 240,000) = $−239775

Expected value (E(x)) = sum of P(i) * X(i)

E(x) = (P(survival) * profit made) + (P(death) * loss incurred)

E(x) = (225 * 0.999572) + (0.000428 * −239775)

= 224.9037 - 102.6237

=$ 122.28

Answer:

$773.3587

Step-by-step explanation:

The probability that the female survives = 0.999572

therefore, probability that female dies = 1-0.999572 = 0.000428

if the female survives the insurance company makes = $225

x=$250

If the female dies the insurance company pays $240,000.

So, the amount with the company = 240000-225 = $ 2390775

Therefore Expected value = 250(0.999572)-2390775(0.000428)= $773.3587

Answer:

5x² - 2x - 7

Step-by-step explanation:

(3x² + +x – 14) + (2x² – 3x + 7)

Remove parenthesis

3x² + x - 14 + 2x² - 3x + 7

Combine like terms ( like terms are those that have the same variable and degree, ex. 2x² and 3x² are like terms as they both have x as a variable and a degree of 2 )

3x² + 2x² = 5x²

x - 3x = -2x

-14 + 7 = -7

We then add everything back up

5x² - 2x - 7 should be the answer

Answer: 120m2

Step-by-step explanation:8x11=88

19-11=8- length of triangle base. 1/2 base x height= 4x8=32

32+88=120m2

The value of the expression (f(g(4)) is 1.

To find the value of f(g(4)), we need to first find g(4), which is 2 (since g(4) = 2). Then, we need to find f(2), which is also 1 (since f(2) = 1). Therefore, f(g(4)) = 1.

Here's a step-by-step process for finding this:

Find g(4), Look for the row where x = 4 in the table for g(x). This is the fourth row, and the value in the g(x) column for this row is 2. So g(4) = 2.

Find f(g(4)), Now that we know g(4) = 2, we can look for the row where x = 2 in the table for f(x). This is the second row, and the value in the f(x) column for this row is 1. So f(2) = 1.

Write the final answer, Since f(g(4)) = f(2) = 1, we can say that the value of the expression is 1.

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Answer:

3 = 2/3X + 3

Step-by-step explanation:

To determine which point maximizes the objective function, we need to evaluate the objective function at each of the given points and then compare the results. The point that produces the highest value for z will be the solution.

a. (1, 1)

z = 3(1) + 5(1) = 8

b. (2, 7)

z = 3(2) + 5(7) = 41

c. (5, 10)

z = 3(5) + 5(10) = 55

d. (6, 3)

z = 3(6) + 5(3) = 33

Therefore, the point that maximizes the objective function is (5, 10) with a value of z = 55.

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Answer:

10-x

Step-by-step explanation:

The difference of 10 and x is subtracting x from 10

The period T of a pendulum is given by:

Where T is the period (s)

L the length (ft)

π is 3.14

A value of T=12.56 seconds is given. Let's find the length then:

Thus, the length of a pendulum with a period of T=12.56s is equal to 128ft

A histogram with a symmetric distribution looks like this:

Leaving aside the quality of the drawing, the left and the right side of the histogram are identical if we split it by the red line. Is like having a reflexion axis.

Now, we have to discuss what of the 2 data sets may have such an histogram. This means that we must think which of them may have the same number of ocurrences for very short and very long durations, for regular to short and regular to long durations, and so on and so furth.

Pop album tracks:

In the same album we may have arround 12 tracks (small number), all of them with a duration of arround 3 minutes. We could imagine a histogram like the following:

All the songs last between 170 and 190 seconds, and one or two last a little bit more.

Phone talks:

In this case, we can think that there are some calls to say something like "mom, I'm on my way home" and other like "let me tell you the hole movie I saw yesterday night", so very short and very long calls, but they are no so common. There are a lot of "regular" calls that might last for 60 seconds.

Also, in this case, we are taking into account all the calls from people in the school in one day (yesterday), so, may be 1.000 calls? The actual number really doesn't matter, but the fact that the number is very big. Because of the big number, we can expect a symmetric distribution.

The variables of turnover and profit in the given dataset are significantly correlated at the 1 percent level. The regression line for predicting expected profit from turnover can be calculated.

The correlation between turnover and profit levels of the ten companies in the given dataset was tested, and it was found to be significant at the 1 percent level. This indicates that there is a strong relationship between the two variables. The regression line can be used to predict the expected profit based on the turnover of a company.

The regression equation for predicting expected profit from turnover can be expressed as follows:

Expected Profit = Intercept + Slope * Turnover

In this equation, the intercept represents the starting point of the regression line, indicating the expected profit when turnover is zero. The slope represents the change in profit for every unit change in turnover. By plugging in the turnover value of a company into this equation, we can estimate the expected profit for that company.

It's important to note that the coefficients of the regression equation will vary depending on the specific dataset and industry. In this case, the specific values for the intercept and slope can be calculated using statistical techniques such as ordinary least squares regression.

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The incremental selling and administrative cost per unit incurred to sell these extra units is (C / 29,750) × 380.

To calculate the incremental selling and administrative cost per unit incurred to sell the 380 extra units, we need to know the total selling and administrative cost associated with producing and selling the entire batch of units.

Let's assume the total selling and administrative cost for producing and selling 29,750 units is C dollars. This cost includes all the expenses related to selling and administration, such as marketing, sales team salaries, administrative overhead, etc.

To calculate the incremental cost per unit, we can divide the total selling and administrative cost by the total number of units:

Incremental Cost per Unit = C / 29,750

Now, since we have an additional 380 units that would otherwise remain unsold, we need to calculate the cost for selling these additional units. We can do this by multiplying the incremental cost per unit by the number of extra units:

Incremental Selling and Administrative Cost = Incremental Cost per Unit × 380

The incremental selling and administrative cost per unit incurred to sell these extra units is (C / 29,750) × 380.

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Answer:

225.08, which would just be 225.

Step-by-step explanation:

First, you multiply the percent, 17, times the total number of points, 1,324, which you should get 22,508. Then, divide that by 100, and you will get your answer 225.08. The reason you put it into the whole number, is because you can't score part of a point, so you always round down even if the number is in favor to round up. I hope this helps :)

Answer:

P(basketball and baseball)= 3/28

It helps if you make a two way table, but I cant do that on here