Nancy is making accessories for the soccer team. She uses 866.18 inches of fabric on headbands for 43 players and 3 coaches. She also uses 378.83 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

The earnings after taxes, inflation, and administrative costs are B) the real return.

The real return represents the actual gain or profit earned on an investment after considering taxes, inflation, and administrative costs. To calculate the real return, we start with the nominal return, which is the return before considering these factors.

We subtract the taxes paid on the earnings, adjust for inflation to account for the decrease in purchasing power over time, and deduct any administrative costs incurred. The result is the real return, which reflects the true increase in the value of the investment. Mathematically, we can express the calculation as follows:

Real Return = Nominal Return - Taxes - Inflation - Administrative Costs

It is important to consider these factors to accurately assess the true profitability of an investment, as taxes, inflation, and administrative costs can significantly impact the overall earnings. So B is correct option.

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If the perimeter and area of the hexagon are $p$ and $a$, respectively, the value of $\frac{p^4}{a^2}$ is 192.

Regular hexagon has side length of 6

Perimeter of regular hexagon is given by 6*(side)

∴Perimeter = 6*(6) = 36

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter.

Area of Regular hexagon is composed of 6 equilateral triangles and is given by,

= 6* (1/2)*6² * √3/2

= 3√3/2 * 36

= 54√3

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

So fraction \(\frac{p^4}{a^2}\) = \(\frac{36^4}{(54\sqrt{3})^2 } = \frac{36*36*36*36}{54*54*3}\)  =192.

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Answer: Part to whole is 1:2

True. The cost feasibility of a systems development project is indeed dependent on the project's scope.

The cost feasibility of a systems development project refers to the evaluation of whether the project can be completed within the allocated budget. One of the key factors influencing cost feasibility is the scope of the project. The scope defines the boundaries and objectives of the project, including the features, functionalities, and deliverables that are expected to be developed.

When the scope of a project is well-defined and limited, it tends to be more cost-feasible. A smaller scope usually requires fewer resources, less development time, and ultimately, lower costs. On the other hand, projects with a broader or more complex scope often involve a larger number of requirements, greater integration challenges, and increased development efforts, which can drive up the costs.

Therefore, the scope of a systems development project plays a crucial role in determining its cost feasibility. Project managers and stakeholders need to carefully analyze and define the project's scope to ensure that it aligns with the available resources and budget, thereby increasing the chances of successful and cost-effective project completion.

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Answer:

11/12 ÷ 1/3 = 2 and three-fourths

11/12 ÷ 1/3 = 2 3/4

Step-by-step explanation:

What is StartFraction 11 Over 12 EndFraction divided by one-third? A fraction bar labeled 1. Under the 1 are 3 boxes labeled one-third. Under the 3 boxes are 4 boxes containing one-fourth. Under the 4 boxes are 12 boxes containing StartFraction 1 Over 12 EndFraction. 2 and one-fourth 2 and three-fourths 3 and one-third 3 and two-thirds

Given:

11/12 ÷ 1/3

= 11/12 × 3/1

= 33 / 12

= 2 9/12

= 2 3/4

= 2 and three-fourths

11/12 ÷ 1/3 = 2 3/4

Answer:

b. 2 3/4

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

You are subtracting 7x from each side

After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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We are asked to determine the coordinates of a point that is reflected over the line y = x. Let's remember that when we reflect a point (x,y) over y = x, we get the following result:

Therefore, when we reflect the point (2,-3) we get:

Considering the given figure, with circumcenter at N. The dimensions are solved to be

HN = 130

LJ = 126

GJ = 168

The unknown dimensions is calculated as follows

Solving for HN

Considering the problem, the hypotenuse of each of the right triangles are equal

HN = GN = JN = 130

Solving for LJ using Pythagoras theorem.

the formula of the theorem is

hypotenuse² = opposite² + adjacent²

JN² = LN² + LJ²

130² = 32² + LJ²

LJ² = 130² - 32²

LJ² = 15876

LJ = √15876

LJ = 126

solving for GJ

GK + KJ = GJ

GK = KJ - angle bisector theorem

GK + GK = GJ

2GK = GJ

GJ = 2 * 84

GJ = 168

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The value of B, representing the upper limit of study time for at least 75% of students at the liberal arts college, is approximately 12.696 hours per week. This means that between 2 and 12.696 hours per week is the range in which at least 75% of students study.

To find B, we need to calculate the z-score corresponding to the 75th percentile of the distribution. Given that the average study time is 10 hours per week with a standard deviation of 4 hours per week, we can use the z-score formula (z = (X - μ) / σ) to determine the z-score.

Using the formula, we have:

z = (B - 10) / 4

To find the z-score corresponding to the 75th percentile, we refer to the standard normal distribution table or use statistical software. The z-score that corresponds to the 75th percentile is approximately 0.674.

Now, we can solve for B:

0.674 = (B - 10) / 4

Simplifying the equation, we have:

B - 10 = 0.674 * 4

B - 10 = 2.696

B = 12.696

Therefore, the value of B is approximately 12.696 hours per week. This means that at least 75% of students study between 2 and 12.696 hours per week.

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Olivia purchases gifts for her mom and grandma for Mother's Day. The  linear equations in first is a pair of sunglasses for $16.35 and the second is a bracelet. Her total spend $39.75.

Given that

o find

So, according to the question

We have

So, we can say that

Now, putting the all given values,

So, we get

                                             = $(39.75 - 16.35)

    The amount of bracelet = $ 23.4        

She spend $ 23.4 on bracelet for Mother’s Day.

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Answer:

minimum: 3

q1: 9

q3: 16

median: 13

max: 20

Step-by-step explanation:

the image attached below will help you read a box and whisker plot

Answer:

$12.56

Step-by-step explanation:

$50.24 divided by the 4 friends = $12.56

I divided the total cost by the amount of friends who went to the museum and so I did $50.24 divided by the 4 friends = $12.56.

Each friend paid $12.56 for a ticket to the museum this was calculated by dividing the total cost of $50.24 by the number of friends, which is 4. So, they each paid an equal amount of $12.56.

To find out how much each friend paid for a ticket to the museum, we can divide the total amount they paid by the number of friends.

Given that there are 4 friends and the total cost is $50.24, we simply divide $50.24 by 4:

Amount each friend paid = Total cost / Number of friends

Amount each friend paid = $50.24 / 4

Calculating this division:

Amount each friend paid = $12.56

Therefore, each friend paid $12.56 for a ticket to the museum.

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Answer:

y=3/4x-2

Step-by-step explanation:

y

Answer:

\(y=\frac{3}{4} x-2\)

Step-by-step explanation:

Slope = \(\frac{3}{4}\)

Y-intercept = -2

The algebraic expression for Utako's weekly income in terms of her sales can be written as i = 320 + 0.06s where i is the weekly income and s is the sales.

The given algebraic expression i = 320 + 0.06s represents Utako's weekly income in terms of her sales. The expression consists of two parts - a fixed component of $320 per week and a variable component of 6% commission on her sales.

To evaluate Utako's weekly income for a particular value of sales, we simply substitute that value of s in the expression and calculate the corresponding value of i. For example, if her sales are $5000 in a week, then her weekly income would be:

i = 320 + 0.06(5000) = 320 + 300 = $620

Similarly, for any other value of sales, we can calculate her weekly income using this expression. This equation is useful for Utako to estimate her income based on her sales and to plan her finances accordingly.

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The value of R(x) term is 36.

We are given that;

The equation x³ + 2x² - 72x - 28

Now,

We divide the first term, 8x, by the first term of d(x), which is x. This gives us 8, which is the third term of Q(x). We write 8 above the division bar and multiply it by d(x), which gives us 8x - 64. We subtract this from the new dividend, which gives us 36.

Since we cannot divide 36 by x-8 any further, we stop here and write 36 as the remainder R(x).

   x² + 10x + 8

  _______________

x-8 | x³ + 2x² - 72x - 28

    - (x³ - 8x²)

    -------------

        10x² - 72x

      - (10x² -80x)

      -------------

             8x -28

           - (8x -64)

           ----------

                36

Q(x) = x² + 10x + 8 and R(x) = 36.

Therefore, by the equation the answer will be R(x) = 36.

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Answer: The one on the left.

Step-by-step explanation:

There is no file, but the panda on the left is bigger.

Answer:

around 82.45 cubic cm

Step-by-step explanation:

The formula for the volume of a sphere is (4/3) * pi * r^3.

Since the radius is 2.7, we can plug this into the formula to get (4/3) * pi * 19.683.

This simplifies to 26.244pi, which is around 82.45 cubic cm.

Answer:

14

Step-by-step explanation:

- the kite is equal in length

- 7+7

= 14

Answer:

the answer is (7)

Step-by-step explanation:

                                                  hope it helps :)

Answer:

1min = 0.25miles

5.25miles / 0.25miles = 25 = 25minutes

Step-by-step explanation:

Hope this is right I'm not the best at worded time/distance math questions.

9514 1404 393

Answer:

  0 ≤ t < 52.5 minutes

Step-by-step explanation:

Riko will be behind Yuto until her distance traveled matches his. That is, she will be behind for ...

  0.35t < 5.25 +0.25t

  0.10t < 5.25

  t < 52.5

Riko will be behind Yuto on the interval 0 ≤ t < 52.5 minutes.

_____

Additional comment

distance = speed × time

Here, time is measured from when Riko starts riding. In addition to the 5.25 miles that Yuto has already gone, his distance will be the product of his speed (0.25 mi/min) and the travel time (t min). Then Yuto's total distance is 5.25+0.25t miles. The speed×time product is also used to find Riko's distance traveled. In her case, it is 0.35t miles.

If the probability that a player makes a free throw is 0.4, the probability that they do not make a free throw is 1 – 0.4 = 0.6.

The probability that a player makes three consecutive free throws is 0.4 × 0.4 × 0.4 = 0.064. If a player attempts three free throws, there are three possible outcomes: make all three, miss one and make two, or miss two and make one.

The probability of making all three is 0.064, the probability of missing one and making two is 0.4 × 0.4 × 0.6 + 0.4 × 0.6 × 0.4 + 0.6 × 0.4 × 0.4 = 0.288, and the probability of missing two and making one is 0.6 × 0.6 × 0.4 + 0.6 × 0.4 × 0.6 + 0.4 × 0.6 × 0.6 = 0.432.

Therefore, the probability of leaving the court in three attempts is 0.064 + 0.288 + 0.432 = 0.784. If a player misses all three attempts, they will have to try three more times, and the probability of leaving the court in six attempts is 0.784 + 0.064 × 0.288 × 0.432 = 0.861.

If a player misses all six attempts, they will have to try three more times, and the probability of leaving the court in nine attempts is 0.861 + 0.064 × 0.288 × 0.432 × 0.064 × 0.288 × 0.432 × 0.064 × 0.288 × 0.432 = 0.926.

If a player misses all nine attempts, they will have to try three more times, and the probability of leaving the court in twelve attempts is 0.926 + 0.064 × 0.288 × 0.432 × 0.064 × 0.288 × 0.432 × 0.064 × 0.288 × 0.432 × 0.064 × 0.288 × 0.432 × 0.064 × 0.288 × 0.432 = 0.974.

Since the probability of leaving the court in twelve attempts is greater than 0.9, the probability of leaving the court in ten or fewer attempts is greater than 0.9. Therefore, the probability that a player can leave the court in 10 or fewer attempts is greater than 0.9.

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The graphs of "\(9 cos^4(x/2)\)" and "\(9 * ((1 + cos(x))/2)^2\)" should overlap and be identical, confirming that both forms are equivalent.

Trigonometry is a branch of mathematics that deals with the relationships and properties of angles and triangles, and the functions of angles.

The expression "\(9 cos^4(x/2)\)" can be rewritten in terms of the first power of cosine using the trigonometric identity:

\(cos^2(theta) = (1 + cos(2theta)) / 2\)

Let's apply this identity to the given expression:

\(9 cos^4(x/2) = 9 * (cos^2(x/2))^2\)

Now, using the trigonometric identity, we can replace \(cos^2(x/2)\) with (1 + cos(x))/2:

\(9 * (cos^2(x/2))^2 = 9 * ((1 + cos(x))/2)^2\)

This gives us the expression in terms of the first power of cosine.

To verify that both forms of the expression are the same, we can use a graphing utility, such as a graphing calculator or software, to plot the graphs of both expressions and compare them.

Hence, The graphs of "\(9 cos^4(x/2)\)" and "\(9 * ((1 + cos(x))/2)^2\)" should overlap and be identical, confirming that both forms are equivalent.

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The appropriate p-value for a t-value of 2.73 with 5 degrees of freedom is approximately 0.05. This indicates that there is a 5% chance of observing a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true.

In statistics, the p-value measures the strength of evidence against the null hypothesis. The null hypothesis states that there is no significant difference or effect in the population being studied. The p-value is calculated by determining the probability of obtaining a test statistic (in this case, the t-value) as extreme as or more extreme than the observed value, assuming the null hypothesis is true.

To determine the appropriate p-value for a t-value, we typically consult a t-distribution table or use statistical software. In this case, with 5 degrees of freedom and a t-value of 2.73, we look up the critical value or use software to find the corresponding p-value. The p-value associated with a t-value of 2.73 and 5 degrees of freedom is approximately 0.05.

The p-value of 0.05 indicates that there is a 5% chance of obtaining a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true. Generally, a p-value of 0.05 or lower is considered statistically significant, implying that the observed result is unlikely to have occurred by chance alone. If the p-value is below a predetermined significance level (often denoted as α, commonly set at 0.05), we reject the null hypothesis in favor of an alternative hypothesis. If the p-value is above the significance level, we fail to reject the null hypothesis.

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The equation of the function is −3<x<1. See the explanation below.

Given the graph of function f is a parabola,

Thus, equation of parabola  is y=(x+3)(x+1)

⇒y=x² +4x+3

⇒y−3+2²

= x²+2× x ×2+2²

⇒y+1=(x+2)²

We can rewrite this as

 (x+2)² =4× (1/4) ×(y+1)

Comparing the above equation to the equation of a parabola, (x−h)² =4a(y−k), where (h,k) is the coordinates of vertex of parabola, we have,

(h,k)≡(−2,−1)

Hence, the x coordinate of the vertex is −2 which lies in the interval −3<x<1

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Answer:

alternate interior,x=2

Step-by-step explanation:

they are alternate interior angles

so 36x+3=-1+38x

   -36x         -36x

3=-1+2x

+1|+1

4/2=2x/2

x=2

Answer:

(x - 5, y - 7)

Step-by-step explanation:

A translation is a type of transformation that moves a figure up, down, left or right but does not change its appearance in any other way.

The pre-image is the original figure prior to transformation, so in this case the pre-image is the green arrow PQRSTUV.

The image is the result of a transformation, so in this case the image is the red arrow P'Q'R'S'T'U'V'.

To determine the series of translations that takes the pre-image to the image, choose one point on the pre-image and compare with its corresponding point on the image:

Subtract the x and y values of the pre-image from the x and y values of the image:

Therefore, the translation that moves the pre-image to the image is:

⇒ 5 units to the left, 7 units down.

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The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.

We are given the two equations are:

10x + 7y + z = 4---------(1)

\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)

equation(1) is written as

z = 4 - 10x - 7y-----------(3)

The surface area is given by the equation:

A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)

compare equation(4) with equation(3) we get the values of ∂f/∂x and

∂f/∂y

∂f/∂x = -10

∂f/∂y = -7

substitute these values in equation(4)

A(S) = ∫∫√[(-10)² + (-7)² + 1]dA

A(S) = ∫∫√[100 + 49 + 1]dA

A(S) = ∫∫√[150]dA

A(S) = √150 ∫∫dA

Where ∫∫dA is the elliptical cylinder

From the general form of an area enclosed by an ellipse with the formula;

comparing x²/a² + y²/b² = 1  with x²/25 + y²/9 = 1, from that we get the values of a and b

a = 5 and b = 3

So, the area of the elliptical cylinder = πab

Thus;

A(S) = √150 × π(5 × 3)

A(S) = 15π√150

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Answer:

13.625

Step-by-step explanation:

The answer is 13.625 dollars. He works 40 hours a week and a month has 4 weeks so by multiplying 40 by 4 we get 160 hours in a month. Then just divide the amount needed by 160 hours to get 13.625.

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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