Last week, Sarah bought a designer shirt at the sale price of $24. The original cost of the shirt was $40. What percent represents the discount that Sarah received when buying the sweater?

Answer: The value of c would be either the decimal 0.25 or the fraction 1/4.

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answering this so the other person can get brainliest :)

you did a / not . btw

Answer:

Maximum number of children among whom 32 red marbles, 144 blue marbles and 176 green marbles can be divided equally is 16.

Step-by-step explanation:

Finding HCF of 32, 144, 176

32 = 2 * 2 * 2 * 2 * 2

144 = 2 * 2 * 3 * 2 * 2 * 3

176 = 2 * 2 * 2 * 11 * 2

HCF = 2 * 2 * 2 * 2 = 16

Answer: the common number is 8 for 151 and 152

Step-by-step explanation: hope this helps

The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

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The y-intercept of the linear equation of best fit, considering the slope and the means, is of -60.428.

A linear function is modeled by:

y = mx + b

In which:

For a line of best-fit, the y-intercept is given by:

\(b = \overline{y} - m\overline{x}\)

The parameters in this problem are given as follows:

\(m = 4.915, \overline{x} = 14.347, \overline{y} = 10.088\)

Then:

\(b = 10.088 - 4.915(14.347) = -60.428\)

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Answer: To find the value of F(x) when x = 6, we can substitute x = 6 into the formula for F(x) and simplify:

F(x) = (1/3)x + 2

F(6) = (1/3)(6) + 2 [Substitute x = 6]

F(6) = 2 + 2 [Simplify]

F(6) = 4 [Simplify further]

Therefore, F(6) = 4 when F(x) = (1/3)x + 2.

Step-by-step explanation:

The derivative of the function y = x^2x using logarithmic differentiation is dy/dx = x^2x(2 + 2ln(x)).

To find the derivative of the function y = x^2x using logarithmic differentiation, we follow these steps:

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To find the derivative of the function y = x^(2x) using logarithmic differentiation, we take the natural logarithm of both sides, apply logarithmic properties, and then differentiate implicitly.

Start by taking the natural logarithm of both sides of the equation:

ln(y) = ln(x^(2x))

Apply the power rule of logarithms to simplify the expression:

ln(y) = 2x * ln(x)

Now, differentiate both sides of the equation implicitly with respect to x:

(1/y) * dy/dx = 2 * ln(x) + 2x * (1/x)

Simplify the expression:

(1/y) * dy/dx = 2 * ln(x) + 2

Multiply both sides by y to isolate dy/dx:

dy/dx = y * (2 * ln(x) + 2)

Substitute the original value of y = x^(2x) back into the equation:

dy/dx = x^(2x) * (2 * ln(x) + 2)

The derivative of the function y = x^(2x) using logarithmic differentiation is dy/dx = x^(2x) * (2 * ln(x) + 2). Logarithmic differentiation is a useful technique for differentiating functions that involve exponentials or complicated algebraic expressions, as it allows us to simplify the calculation by taking the logarithm of both sides and then differentiating implicitly.

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Answer:

15√19 mm²

Step-by-step explanation:

Area of parallelogram=base * height

base is 15mm and we have to find height using Pythagoras theorem

9²+h²=10²

h = √100-81

= √19

so area of parallelogram = 15* √19 =15√19 mm²

The likelihood that a shipment passes the test is 1

To determine the likelihood that a shipment passes the test, we can approach this problem using the concept of reliability in parallel systems.

In this case, the theater is testing a batch shipment of bulbs, and if two or more bulbs go out during the test, the shipment is returned. We can consider each bulb's reliability as an independent event.

The reliability of a single bulb is given as 95%, which means the probability that a bulb lasts at least 100 hours is 0.95. Therefore, the probability that a single bulb fails during the test (lasting less than 100 hours) is 1 - 0.95 = 0.05.

Since the theater tests 20 bulbs in parallel, we can consider it as a parallel system. In a parallel system, the overall system fails if and only if all the components fail. So, for the shipment to fail the test, all 20 bulbs must fail.

The probability that a single bulb fails during the test is 0.05. Since the bulbs are independent, we can multiply the probabilities:

Probability that all 20 bulbs fail = (0.05) * (0.05) * ... * (0.05) (20 times)

= 0.05^20

≈ 9.537 × 10^(-27)

Therefore, the likelihood that a shipment passes the test is the complement of the probability that all 20 bulbs fail:

Probability that a shipment passes the test = 1 - Probability that all 20 bulbs fail

= 1 - 9.537 × 10^(-27)

≈ 1

In practical terms, the likelihood that a shipment passes the test is essentially 1 (or 100%). This means that if the bulbs indeed have a 95% reliability, it is highly unlikely that two or more bulbs would go out during the test, and the shipment would almost always pass the test.

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Answer:

$26.65

Step-by-step explanation:

41 decrease 35% =

41 × (1 - 35%) = 41 × (1 - 0.35) = 26.65

Yes, this sample of the homework problems assigned likely to be representative.

A representative sample is a portion of a population that attempts to accurately reflect the characteristics of a larger group. For example, a classroom of 30 students with 15 boys and 15 girls might have a representative sample of 6 students.

3 boys and 3 girls. A sample contains a smaller, more manageable version of a larger cohort, which is useful for statistical analysis when the population size is large.

A representative sample is a technique that can be used to gain insight and observations about a particular population. A representative sample is a small group of subsets that seeks to proportionally reflect a particular trait exemplified in the target population.

A representative sample often gives the best results, but can be the type of sample that is most difficult to obtain.

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Answer:

c/  y=20x

Step-by-step explanation:

Answer:

angle 6

Step-by-step explanation:

Answer:

I do not know what you mean, but good luck. By the way, I think you are answering a question on brainly.

Step-by-step explanation:

Step-by-step explanation:

I assume the changes to the dimensions were made by using the same factor for each dimension, right ?

so, what do we need to do or calculate ? what is the desired result ?

the surface areas ? the new dimensions ? the volume ?

or only the factor of how much the dimensions changed, when the surface area was changed to 1/4 ?

????

I assume the last one, because there is so little information about what to do.

the surface area is calculated based on the areas of the various rectangles in the surface of the object.

each rectangle area is the result of multiplying 2 dimensions.

as the whole surface area shrinks by the factor 1/4, it means that every rectangle on the surface also shrinks by the factor 1/4.

and this factor 1/4 is the result of multiplying 2 dimensions. each dimension was changed by multiplying it with the same factor as every other dimension.

so, factor×factor = 1/4

factor² = 1/4

factor = sqrt(1/4) = 1/2

so, yes, in order to shrink the surface area to 1/4 of the original size, all the dimensions need to be cut in half (multiplied by 1/2).

Answer:

4 is correct answer.

Step-by-step explanation:

That because it contains property of communicative. That is a×b=b×a.

6 1/2

First you find a common denominator. 1/4 = 3/12 and 1/3 = 4/12.

3/12 + 4/12 + 11/12 = 18/12.

18/12 = 6 6/12 = 6 1/2

Answer:18/12 or 1 1/2

Step-by-step explanation:

First you have to make all of the denominators the same by finding a common denominator which is 12. Then you multiply the whatever number you need to get to twelve by the top and bottom. Once all of the denominators are the same then you add.

1/4=3/12(multiply top and bottom by three), 1/3=4/12(multiply by 4), 11/12 stays the same.

The thieves could take approximately 1555 bars of platinum.

Pt stands for platinum, an atomic number 78 chemical element. It is a thick, malleable, ductile, very inert, silvery-white-colored transition metal. Its name comes from the Spanish diminutive platina, meaning "silver"

One 1 lb bar of platinum has a volume of approximately 0.11 cubic feet. Assuming the density of platinum to be approximately 21 g/cm^3, the weight of 1 lb bar of platinum is approximately 0.45 kg. The maximum payload capacity of the small truck is approximately 317 kg. Hence, the thieves could take approximately 700 / 0.45 = 1555 bars of platinum.

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Answer:

- more people need extra large sweatshirts than large sweatshirts

Answer: C

Step-by-step explanation:

More people need extra large sweatshirts than large sweatshirts.

Answer:

i think 80m

Step-by-step explanation:

because if it is in 30° it is 40m and 60° means double of it

The height of the tower from the given parameters is; 20√3 m

I have attached a drawing showing the triangle formed by the tower and the shadow.

We can use trigonometric ratios on Triangle ABC of the attached image to get; AB = BC * tan 60°

AB = BC√3

Where AB is the height of tower

For Triangle ABD, using trigonometric ratios again, we will have;

tan 30° = AB/(BC + 40)

1/√3 = (BC√3)/(BC + 40)

Cross multiply to get;

BC + 40 = 3BC

3BC - BC = 40

2BC = 40

BC = 40/2

BC = 20 m

Thus;

Height of tower; AB = 20√3 m

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The MP curve initially rises to its maximum value because of the specialized nature of the fixed capital, where each additional worker's productivity rises due to the marginal product of the fixed capital.

Production Function: q = f(L,K) = 20L + 25K + 5KL - 0.03L² - 0.02K²

Given, K = 5, i.e., capital is fixed. Therefore, the total product of labor, average product of labor, and marginal product of labor are:

TPL = f(L, K = 5) = 20L + 25 × 5 + 5L × 5 - 0.03L² - 0.02(5)²

= 20L + 125 + 25L - 0.03L² - 5

= -0.03L² + 45L + 120

APL = TPL / L, or APL = 20 + 125/L + 5K - 0.03L - 0.02K² / L

= 20 + 25 + 5 × 5 - 0.03L - 0.02(5)² / L

= 50 - 0.03L - 0.5 / L

= 49.5 - 0.03L / L

MP = ∂TPL / ∂L

= 20 + 25 - 0.06L - 0.02K²

= 45 - 0.06L

The following diagram illustrates the TP, MP, and AP curves:

Figure: Total Product (TP), Marginal Product (MP), and Average Product (AP) curves

The production function demonstrates increasing marginal returns due to specialization when L is low enough, i.e., when L ≤ 750. The marginal product curve initially increases and reaches a maximum value of 45 units of output when L = 416.67 units. When L > 416.67, MP decreases, and when L = 750 units, MP becomes zero.

The MP curve's initial increase demonstrates that the production function displays increasing marginal returns due to specialization when L is low enough. This is because when the capital is fixed, an additional unit of labor will benefit from the fixed capital and will increase production more than the previous one.

In other words, Because of the specialised nature of the fixed capital, the MP curve first climbs to its maximum value, where each additional worker's productivity rises due to the marginal product of the fixed capital.

The APL curve initially rises due to the MP curve's increase and then decreases when MP falls because of the diminishing marginal returns.

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Step-by-step explanation:

I hope this helps........

Answer:

27 :)

Step-by-step explanation:

$27 it D

Step-by-step explanation:

Answer:

\( y = 6 \sqrt{3} \: units\)

Step-by-step explanation:

In order to find the value of y, first we need to find the length of the perpendicular dropped from one of the vertices of the triangle to its opposite side.

By geometric mean theorem:

Length of the perpendicular

\( =\sqrt{9\times 3}\)

\( =\sqrt{27}\: units \)

Next, by Pythagoras theorem:

\( {y}^{2} = {9}^{2} + {( \sqrt{27} )}^{2} \\ \\ {y}^{2} = 81 + 27 \\ \\ {y}^{2} = 108 \\ \\ y = \sqrt{108} \\ \\ y = \sqrt{36 \times 3} \\ \\ y = \sqrt{ {6}^{2} \times 3} \\ \\ y = 6 \sqrt{3} \: units\)

Answer:

Formula for area of a parallelogram;

a = bh

where b is the base, and h is the height

Our height is 64.3

Our base is 4.3

Now we multiply them:-

a = bh

a = 4.3 x 64.3

a = 276.49^2 meters

The percentage of Hospital A patients that died is 3% and the percentage of Hospital B patients that died is 2%. Hospital B is potentially safer based on the provided data.

To find the percentage of Hospital A patients who died, we need to divide the number of patients who died by the total number of patients in Hospital A and multiply by 100 to get a percentage. The same process applies for Hospital B.

For Hospital A:
- Number of patients who died = 63
- Total number of patients = 2100
- Percent of patients who died = (63/2100) x 100 = 3%

For Hospital B:
- Number of patients who died = 16
- Total number of patients = 800
- Percent of patients who died = (16/800) x 100 = 2%

Therefore, 3% of Hospital A patients died and 2% of Hospital B patients died.

Based on this data, Hospital B has a lower percentage of patients who died after surgery, making it potentially safer in terms of patient outcomes. However, it is important to consider other factors as well, such as the types of surgeries performed and the overall health of the patients before making a final decision about which hospital is safer.

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a) The proportion of the students scored at least 26 points on this test is 0.02275.

b) The 71 percentile of the distribution of test scores is 24.073

A low standard deviation suggests that values are often close to the mean of the collection, whereas a large standard deviation suggests that values are dispersed over a wider range.

Standard deviation, often known as SD, is most frequently represented in mathematical texts and equations by the lower case Greek letter (sigma), for the population standard deviation, or the Latin letter s, for the sample standard deviation.

Let the scores be X and X is normally distributed with a mean of 22 and standard deviation of 2.

μ=22

σ=2

X≈N(22,2)

a) P(X≥26)=P(((X-μ)/σ)≥(26-μ)/σ)

=1-P(Z≥2)

=1-P(Z<2)

=1-0.97725

=0.02275

b) Let a is the 71th percentile of X,

P(X≤a)=0.71

P((X-μ)/σ)≤(a-μ)/σ)=0.71

P(Z≤z)=0.71

From the standard normal table by calculating with z value, we get

a=24.073

Therefore,

a) The proportion of the students scored at least 26 points on this test is 0.02275.

b) The 71 percentile of the distribution of test scores is 24.073.

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To test a trading rule for statistically and economically significant alpha, follow these steps: gather data, formulate a hypothesis, measure performance, conduct statistical tests, assess economic significance, and perform robustness testing.


To determine if a trading rule generates a statistically and economically significant alpha, several steps can be followed. Alpha refers to the excess return generated by a trading strategy beyond what would be expected from market movements. Here's a summary of the testing process:

To test a trading rule's alpha, you can follow these steps:

1. Data Preparation: Gather historical price data for the assets being traded and any relevant market indices. Ensure the data is clean, consistent, and properly adjusted for dividends and corporate actions.

2. Hypothesis Formulation: Clearly define the trading rule being tested, specifying the entry and exit criteria. Formulate a null hypothesis assuming no alpha exists and an alternative hypothesis suggesting the presence of statistically and economically significant alpha.

3. Performance Measurement: Apply the trading rule to the historical price data and calculate the strategy's performance metrics, including returns, volatility, and risk-adjusted measures like the Sharpe ratio or information ratio.

4. Statistical Significance: Conduct hypothesis testing using appropriate statistical methods such as t-tests or regression analysis to determine if the strategy's excess returns are statistically significant. This helps assess whether the alpha is due to skill or randomness.

5. Economic Significance: Evaluate the economic significance of the alpha by considering transaction costs, liquidity constraints, and realistic trading scenarios. Adjust the returns for these factors to assess if the strategy generates meaningful profits after accounting for expenses.

6. Robustness Testing: Perform sensitivity analysis by varying key parameters of the trading rule and assessing the stability and consistency of the alpha. This helps determine if the strategy's performance is robust across different market conditions and time periods.

By following these steps, you can systematically evaluate a trading rule's alpha generation potential. Remember, it's important to consider statistical significance, economic significance, and robustness to draw meaningful conclusions about a trading strategy's effectiveness.

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