Suppose that a, b, c, d are positive real numbers such that a/b < c/d . What can you say about the fraction (a+c)/(b+d) ? Is it always, sometimes, or never between the fractions a/b and c/d ? Provide evidence of your claim. (If always or never, give an algebraic proof, otherwise, give two quadruples values of a, b, c, d in which one quadruple has (a+c)/(b+d) between a/b and c/d and the other does not.)

To find the number of ways to choose 5 dozen croissants with at least two of each kind from the six available types (plain, cherry, chocolate, almond, apple, and broccoli), we can use combinations and permutations.

Since we need to have at least two of each kind, let's first subtract these fixed quantities from the total:

2 plain croissants

2 cherry croissants

2 chocolate croissants

2 almond croissants

2 apple croissants

2 broccoli croissants

Now we are left with 5 dozen - 2 each = 5 dozen - 12 croissants.

We have 6 types of croissants remaining, and we need to distribute the remaining 5 dozen - 12 croissants among these types.

Using stars and bars method, we can calculate the number of ways to distribute the remaining croissants. The formula for stars and bars is (n + r - 1) C (r - 1), where n is the number of items to be distributed and r is the number of bins (types of croissants).

In this case, n = 5 dozen - 12 = 5 × 12 - 12 = 48, and r = 6.

So, the number of ways to distribute the remaining croissants is (48 + 6 - 1) C (6 - 1) = 53 C 5.

Using the formula for combinations, 53 C 5 = 53! / (5! × (53-5)!) = 53! / (5! × 48!).

Calculating this value, we get:

53 C 5 ≈ 2,869,034.

Therefore, there are approximately 2,869,034 ways to choose 5 dozen croissants with at least two of each kind from the available options.

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Answer: No, they are not.

Step-by-step explanation:

The value without Exponent are  n x n x n x n x n x n x n.

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as \(3^4\), where 4 is the exponent and 3 is the base.

Given:

\(n^5\) x n²

Using the Property of Exponents and power

\(a^m\) x \(a^n = a^{m+n\)

So, \(n^5\) x n²

= \(n^{5+2}\)

= \(n^7\)

= n x n x n x n x n x n x n

Hence, the exponents is n x n x n x n x n x n x n.

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Answer:

288

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

To find a percent you just need to divide

48 ÷ 600 is 0.08

Next you move the decimal over by too places to get 8%

so let's check how much is each interior angle in the pentagon first.

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)

Check the picture below.

Therefore, the change in profit is approximately 0.60 and the percent change in profit is approximately 0.81%.

The given function is P = 100xe–x/400, where is sales.

The change in profit as sales increase from x = 115 to x = 120 units is to be determined.

To find the change in profit, we need to calculate the profit at x = 115 and x = 120 and then find the difference between them.

P(115) = 100 * 115e^(–115/400) ≈ 73.99

P(120) = 100 * 120e^(–120/400) ≈ 73.39

The change in profit = P(120) - P(115) ≈ 0.60

Approximate percent change in profit as sales increase from

x = 115 to x = 120 units = (change in profit / initial profit) × 100%≈ (0.60/73.99) × 100%≈ 0.81%.

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The chosen dream product is a solar-powered smart home automation system. The Vision & Mission statement is to create an environmentally sustainable and technologically advanced solution that enhances comfort, convenience, and energy efficiency in households. The production and successful implementation of this product require thorough research to assess its feasibility and viability, considering factors such as technological capabilities, market demand, and economic sustainability.

The Vision of the solar-powered smart home automation system is to revolutionize the way households interact with their living spaces by providing an environmentally sustainable solution. The Mission is to develop a state-of-the-art system that seamlessly integrates solar power generation, smart devices, and automation technologies to enhance comfort, convenience, and energy efficiency. This product aims to empower homeowners to reduce their carbon footprint while enjoying the benefits of a modern and connected lifestyle.
To undertake research work on the dream product, a comprehensive assessment is required. This involves evaluating the feasibility of integrating solar power generation with home automation technologies. Factors such as the availability of solar resources, technological advancements in energy storage, and the compatibility of smart devices with automation systems need to be investigated. Additionally, a market analysis is crucial to understand the demand for such a product, potential competition, and pricing considerations.
The research work also involves assessing the viability of the product from an economic perspective. This includes analyzing production costs, potential revenue streams, return on investment, and long-term sustainability. Careful consideration must be given to manufacturing processes, supply chain management, and scalability to ensure successful production and distribution of the product.
Overall, the development and successful implementation of a solar-powered smart home automation system require extensive research to assess its technical feasibility, market demand, and economic viability. By conducting a thorough assessment, the dream product can be evaluated effectively, paving the way for its production and subsequent success in the market.

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The probability of getting a head when a coin is flipped and the probability of getting an even number when a dice s rolled is 1/2.

So, the probability formula:

P(E) = Favourable events/Total events

Probability of getting heads:

P(E) = Favourable events/Total events

P(E) = 1/2

Probability of getting an even number:

P(E) = Favourable events/Total events

P(E) = 3/6

P(E) = 1/2

Therefore, the probability of getting a head when a coin is flipped and the probability of getting an even number when a dice s rolled is 1/2.

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Answer:

Step-by-step explanation:

1. 2x>-6

2.  x-4<7

3. -x-5<=-2

4. 6+x<=3

hope this helps!

Answer:

1 2x>-6

2 x-4<-7

4 6+x _<_

3-x-5 _<_-2

Step-by-step explanation:

Answer: 3800 + 15% =.....DUN DUN DUNNNN 3.800.15

Step-by-step explanation:

56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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10

Step-by-step explanation:

I think it's 10 my bad if I'm wrong

Answer:

a. 100

b. 15

c. Convenience sampling

d. (i) The poll will be biased because

(ii) The manner of bias of the poll is that the sample chosen from the population are those that are more likely to have the same positive response to the survey question

(iii) Selection bias,

(iv) The reason why the poll has the selection bias is because a subjective sampling method was used

Step-by-step explanation:

The given parameters are;

The number of high schoolers at the school = 2,000

The number of high schoolers at the pizzeria Mary intends to ask = 100

The number of high schoolers she ask = 15

Therefore;

a. The population is the number high schoolers at her school = 100

b. The sample = The number of high schoolers that surveyed = 15

c. The kind of sampling Mary is using is convenience sampling

d. (i) The poll is biased because, the sample chosen from the population are those who already are at the pizzeria where pizza is sold and they are more likely to have the same positive response to the survey question

(ii) The type of sampling bias is Selection bias,

(iii) The reason why the poll has the selection bias is because the sampling was made subjectively by selecting to sample only the high schoolers at the pizzeria, which is the same as the high schoolers that are more certain to like pizza.

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▹ Answer

(-1, -5)

▹ Step-by-Step Explanation

y = 3x - 2

x - y =4

x - (3x - 2) = 4

x = -1

y = 3(-1) - 2

y = -5

(x, y) = (-1, -5)

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

y = 8/5

Step-by-step explanation:

Formula we use,

→ y = kx

Then the value of y will be,

→ y = kx

→ y = (-2/5) × (-4)

→ y = (-2 × -4)/5

→ [ y = 8/5 ]

Hence, the value of y is 8/5.

Answer:

So he could use 3 pounds for apples, and two for bananas.

Step-by-step explanation:

To ensure the best test results, Anita should be provided with the following information before her spirometry:

1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.

2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.

3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.

4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.

The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.

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The area of the four corners left over would be equal to the area of the square minus the area of the circle, which is the square's area minus πr2. Therefore, the area of the four corners would be A - πr2.

Square is a two-dimensional geometric shape with four sides of equal length and four right angles. It is a regular quadrilateral and is one of the most basic shapes in geometry. Squares are widely used in carpentry, engineering, architecture and other areas. Squares can be drawn on a flat surface with a ruler and a pencil, and can also be created using a compass and a straightedge. Squares are often used as a symbol of strength, stability and order.

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Answer:

(a) <AED=50°

(b) <DAB=65°

(c) <BCD=45°

(d) Reflex <ABC=225°

Step-by-step explanation:

(a) 180-65-65=50

(b) 180-115=65 (ADC is 115)

(c) 180-135-45

(d) Reflex <ABC 360-135=225

Hey there! I'm happy to help!

We want to get m all by itself on one side of the equation. To do this, we use inverse operations on both sides of the equation to cancel out variables on one side to isolate m.

am/c=n

We multiply both sides by c.

am=nc

We divide both sides by a.

m=(nc)/a

I hope that this helps! Have a wonderful day! :D

Answer: 4th one?

Step-by-step explanation:

Among the three options provided, the cross-sectional data set is the demographic data. Correct option is B).

Cross-sectional data refers to a type of data that captures information about different individuals, entities, or units at a specific point in time. It provides a snapshot of a population or sample at a particular moment, allowing for comparisons and analysis of various characteristics or variables. In the case of demographic data, it typically includes information about individuals' age, gender, education level, income, and other demographic attributes. This data set does not capture changes or trends over time but rather provides a snapshot of the population's characteristics at a specific time.

On the other hand, the BCAD data and links could refer to data related to building codes, regulations, and their corresponding references, while code cases may refer to specific instances or examples of code violations or compliance. These data sets may be specific to certain incidents or cases and do not necessarily capture information about a population or sample at a particular point in time, making them less likely to be considered cross-sectional data.

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In a multiple regression framework, the R-squared (R^2) increases whenever a regressor is added unless the coefficient on the added regressor is exactly zero.

If the added regressor has a non-zero coefficient, even if it is small, it will contribute to explaining additional variance in the dependent variable and increase the overall fit of the regression model.

However, it is important to note that the R-squared value does not directly indicate the significance or meaningfulness of the added regressor. It only measures the proportion of variance in the dependent variable that is explained by the entire set of regressors in the model. Therefore, an increase in R-squared does not necessarily imply that the added regressor is statistically significant or has a substantial impact on the dependent variable.

The other answer choices provided, "greater than 1.96 in absolute value" and "added unless there is heteroskedasticity," do not accurately describe the conditions for R-squared to increase when a regressor is added in a multiple regression framework.

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The number of feet in 1 inch is 15 feet.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, in the scale drawing, the length of the cafeteria is 8 inches. the length of the actual cafeteria is 96 feet.

Here, 8 inches = 96 feet

1 inches = 96/8 feet

1 inches = 15 feet

Therefore, the number of feet in 1 inch is 15 feet.

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Answer:

$44

Step-by-step explanation:

She has 79 AFTER her grandfather gave her 35. So you would subtract 35 from the 75 and get $44

Answer:

you're correct it's 44 you do 79 - 35 and you get 44