Dans chaque cas suivant, écris le symbole approprié ∈ ou ∉.

Answer:

113.04 is our answer

Step-by-step explanation:

When finding Area the formula to do so is

radius x radius x pi

Sense we arent given radius we have to find out whats the radius but we must remember radius is just half of the diameter so since we are given diameter we will just do diameter divided by 2 so 12 ÷ 2 = 6 now that we have are radius we square it thats just a fancy way of saying multiply by itself so 6 x 6 = 36 now we multiply 36 with 3.14 So

3.14 x 36 = 113.04 So c is our answer!

The overall percentage increase in price is 1.5, which means that the price of the solution has increased by 150%. This means that if the original price of the solution was $300, the new price after the increase would be $750.To find the overall percentage increase in price, we need to use the ratio of ingredients a and b, which is 2:1.

This means that for every 2 units of ingredient a used, 1 unit of ingredient b is used.

Let's assume that the original unit price of ingredient a was $100 and the original unit price of ingredient b was $200. After the increase, the unit price of ingredient a would be $110 (10% increase) and the unit price of ingredient b would be $250 (25% increase).

To find the overall percentage increase in price, we need to calculate the weighted average of the two ingredients based on their ratios. This can be done by multiplying the percentage increase in each ingredient by its weight in the ratio and adding them together.

The weighted average percentage increase in price can be calculated as follows:

[(2/3) x 10%] + [(1/3) x 25%] = (20/30) + (25/30) = 45/30 = 1.5

Therefore, the overall percentage increase in price is 1.5, which means that the price of the solution has increased by 150%. This means that if the original price of the solution was $300, the new price after the increase would be $750.

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Answer:

120π

Step-by-step explanation:

radius = 6

angle =120

because a circle is 360, so that's 1/3 of the full circle

full circle area = πr² =36π

so the arc area = 1/3 * 360π = 120π

Answer:

B

Step-by-step explanation:

OHXOKXSOIXSOIIZ OIZOKJOZLKZLKZLKZLKSALK

Answer:

A

Step-by-step explanation:

B isn't applicable, because it's below
C and D aren't because it's not negative

Answer:

First pic

\(ratio = \frac{62.8}{2 0} \\ = 3.14\)

Second pic

\( < c + 2x + (3x + 10) = 180 \\ < c = 180 - 3x - 10 - 2x \\ < c = 170 - 5x\)

Answer:

Step-by-step explanation:

Circumference equation:

Circumference to diameter ratio is:

Sum of angles of a triangle is 180°

A and C are equal angles as opposite sides are congruent.

Answer:

equilateral

Step-by-step explanation:

In an equilateral triangle, all sides and angles are equal.

(a) The Null And Alternate hypothesis are stated below,

(b) The value of test-statistic is 3,

(c) The "p-value" is 0.0013,

(d) The hypothesis is rejected because p-value is less than 0.025.

Part (a) : The appropriate null and alternative hypotheses are:

Null hypothesis (H₀): The average LSAT score at the University of Pennsylvania is equal to or less than the national average of 1,300.

Alternative hypothesis (Hₐ): The average LSAT score at the University of Pennsylvania is significantly higher than the national average of 1,300.

Part (b) : To calculate the test-statistic, we use formula : t = (x' - μ)/(s / √n),

where x' = sample mean, μ = hypothesized population mean, s = sample standard deviation, and n = sample size.

Substituting the given values,

We get,

t = (1375 - 1300)/(125 / √25) = 3;

So, the value of the test statistic is 3.

Part (c) : To calculate "p-value", we need to find the probability of getting a t-value as extreme or more extreme than 3, assuming that the null hypothesis is true.

We know that for a two-tailed test at a significance level of 0.03, the p-value is approximately 0.0013.

Part (d) : To test the hypotheses using the p-value, we compare it to the significance-level.

Since the p-value is less than 0.025 (half of the significance level for a two-tailed test), we reject the null hypothesis and conclude that there is sufficient evidence to support the claim.

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The given question is incomplete, the complete question is

The admissions officer for the graduate programs at the university of Pennsylvania believes that the average score on the LSAT exam at his university is significantly higher than the national average of 1,300. an accepted standard deviation for LSAT scores is 125. random sample of 25 scores had an average of 1,375.

(a) State the appropriate null and alternative hypotheses.

(b) Calculate the value of the test statistic

(c) Calculate the p-value.

(d) Use the p-value to test the hypotheses and conduct the test at the 0.025 level.

Given the values: N = 60, σ = 8, α = 1 - 0.1 = 0.9, Z_α/2 = Z_0.45 = 1.645 (rounded to the nearest hundredth), we can calculate the margin of error (E) using the formula:

E = Z_α/2 * (σ / √n)

Substituting the known values into the formula:

E = 1.645 * (8 / √60)

Calculating the value of E:

E ≈ 1.645 * (8 / √60) ≈ 1.645 * 1.0328 ≈ 1.6994 (rounded to the nearest hundredth)

Now, to find 3.3 + E, we can add the value of E to 3.3:

3.3 + E ≈ 3.3 + 1.6994 ≈ 4.9994 (rounded to the nearest hundredth)

And to find 3.3 - E, we can subtract the value of E from 3.3:

3.3 - E ≈ 3.3 - 1.6994 ≈ 1.6006 (rounded to the nearest hundredth)

Therefore, we have:

3.3 + E ≈ 4.9994

3.3 - E ≈ 1.6006

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The independent set in a graph is a set of vertices that contain no edges. So, no neighboring vertices are included. The max independent set problem is to get an independent set of maximum size in graph G.

The solution for this question is discussed below:

a) The integer linear program for the max independent set problem is as follows:

maximize ∑x_i Subject to: x_i+x_j ≤ 1 {i,j} ∈ E;x_i ∈ {0, 1} ∀i. The variable x_i can represent whether the ith vertex is in the independent set. It can take on two values, either 0 or 1.

b) The LP relaxation for the max independent set problem is as follows:

Maximize ∑x_iSubject to:

xi+xj ≤ 1 ∀ {i, j} ∈ E;xi ≥ 0 ∀i. The variable xi can take on fractional values in the LP relaxation.

c) The family of graphs is as follows:

Consider a family of graphs G = (V, E) defined as follows. The vertex set V has n = 2^k vertices, where k is a positive integer. The set of edges E is defined as {uv:u, v ∈ {0, 1}^k and u≠v and u, v differ in precisely one coordinate}. It can be shown that the size of the max independent set is n/2. Using LP, the value can be determined. LP provides a value of approximately n/4. Therefore, the ratio LP-OPT/OPT is at least c/4. Therefore, the ratio is in for a constant c>0.

d) The size of a max-independent set is equivalent to the number of vertices minus the minimum vertex cover size.

e) The 2-approximation algorithm for vertex cover implies a 2-approximation algorithm for the max independent set.

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The type of correlation relationship that exists between the number of fire stations in a city and the number of parks is: accidental correlation relationship.

Accidental relationship is a type of correlation relationship whereby there is a strong correlation between two variables without a logical explanation for such relationship. It is often regarded as coincidental.

Therefore, the type of correlation relationship that exists between the number of fire stations in a city and the number of parks is: accidental correlation relationship.

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Answer:

They averaged 2kg each week for 5 weeks which gave them 10kg. Averaging 2kg per week for two more weeks would give them a total of 14kg.

The system specifications may not be consistent if the router doesn't support the new address space. The reason is that the router must be compatible with the addressing scheme used by the system for proper communication.

If the router does not support the new address space, there might be issues with the system's performance or accessibility. The address space is the number of unique IP addresses that are available in a network. An IP address is required to identify each device on a network and to enable communication between devices.

With the increasing number of devices on a network, new address spaces are required to ensure that each device has a unique IP address. The compatibility of system specifications is a crucial aspect that must be considered when building a system. If the system specifications are not consistent, it might cause the system to malfunction, resulting in poor performance or accessibility issues. Thus, it is important to ensure that the router supports the new address space before integrating it into the system.

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The statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.

If the equation is given a unique and single value of variable after solving then the equation is said one solution equation. Such equation gives exactly one solution.

The three types of solution of an equation are-

The first equation given in the problem is,

\(-3|2x+ 1.2| = -1\)

This equation has one solution. This in not correct option.

The second equation given in the problem is,

\(3.5|6x - 2| = 3.5 \\|6x-2|=0\\6x=2\\x=\dfrac{2}{6}\\x=\dfrac{1}{3}\)

This equation has one solution. This in correct option.

Hence, the statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.

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Answer:

C

Step-by-step explanation:

the equation of a line in slope- intercept form is

f(x) = mx + c ( m is the slope and c the y- intercept )

here m = \(\frac{8}{9}\) and c = - 4 , then

f(x) = \(\frac{8}{9}\) x - 4 ← equation of line

The fraction of the circle that would represent food is given as 34.09

The data we have here is given as

Activities = 600

Food = 450

Souvenirs = 270

We would have to sum this up

600 + 450 + 270 = 1320

The proportion that represents food is given as 450

= 450 / 1320

= 0.3409

Then we would have to convert this to percentage

0.341 * 100

= 34.09

34.09 x 360 = 123 degrees

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Based on the randomly sampled data, we would expect approximately 126 customers to prefer ham sandwiches out of a sample of 300 customers.

Based on the circle graph, we can see that the ham sandwich is the most popular with 42% of customers choosing it as their favorite sandwich. We can use this information to estimate the number of customers who would prefer ham sandwiches in a sample of 300 customers.

If 42% of customers prefer ham sandwiches, then we can estimate the number of customers who prefer ham sandwiches as follows:

Number of customers who prefer ham sandwiches = proportion who prefer ham sandwiches x total number of customers

= 0.42 x 300

= 126

Therefore, based on the randomly sampled data, we would expect approximately 126 customers to prefer ham sandwiches out of a sample of 300 customers.

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A sandwich shop took a randomly sampled survey of 300 customers that asked them to name their favorite sandwich. The results are presented in the circle graph.

Sandwiches

> T

> Er

> M

> Re

✓ Sc

salami 12%

roast beef 20%

ham 42%

chicken 26%

Based upon the randomly sampled data, if 80 customers preferred roast beef sandwiches, how many customers would you expect to prefer ham sandwiches?

Answer:

Exponential decay

Step-by-step explanation:

The general form of an exponential function is

\(P=P_{0}a^t\), where P0 is the initial value, a is the base, and t is the exponent.

In your example, P0 is 1 and a is 4/5.

A function is experiencing exponential growth when a > 1.

A function is experiencing exponential decay when 0 < a < 1.

4/5 lies between 0 and 1, so the function is experiencing exponential decay.

To parenthesize an arithmetic expression with n nonnegative numbers and n-1 addition and multiplication operators, determine the different ways to parenthesize the expression and evaluate each expression to find the different possible values.

To parenthesize an arithmetic expression with a given sequence of n nonnegative numbers separated by n-1 addition (+) and multiplication (x) operators, follow these steps:

1. Identify the sequence of numbers and operators: In the example provided, the sequence is 2x3x0+6+2x5+4.

2. Determine the possible parenthesizations: You can parenthesize the expression in different ways to get different results, such as:
  - ((2x3)x(0+6))+(2x(5+4)) = 54
  - (2x3)((0+(6+2))(5+4)) = 432
  - (2x(3x0))+(6+((2x5)+4)) = 20

3. Evaluate each parenthesized expression: Calculate the values of each expression by following the order of operations (PEMDAS) - Parentheses, Exponents, Multiplication, and Division (from left to right), and Addition and Subtraction (from left to right).

In summary, to parenthesize an arithmetic expression with n nonnegative numbers and n-1 addition and multiplication operators, determine the different ways to parenthesize the expression and evaluate each expression to find the different possible values.

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Answer:

nice nice nice nice nice nice nice nice nice nice nice

Step-by-step explanation:

nice nice nice esq no hablo ratata

Answer:

2. The company's profit from selling their product for $6 per unit is $120.

Step-by-step explanation:

If we graph this function on a 2-axis plane such that the horizontal axis (x) represents \(s\), or the product's price per unit and the vertical axis (y) represents \(p(s)\), or the profit made by selling the product at \(s\) dollars, we'll find that the \(p\)-coordinate of the point where \(s=6\) is 120. Hence, $120 profit will be made if the product is sold at $6 per unit.

See the attached image for a graph.

Answer:

1,500 calories

Step-by-step explanation:

2,400 ÷ 8 = 300

300 × 5 = 1,500

Answer:

C. 76.3%

Step-by-step explanation:

To find Korey's gross profit margin, we can use the formula:

Gross Profit Margin = (Gross Profit / Net Sales) x 100%

We are given that Korey's net sales were $4,350 and gross profit was $3,320. Plugging these values into the formula, we get:

Gross Profit Margin = ($3,320 / $4,350) x 100%

Gross Profit Margin = 0.763 x 100%

Gross Profit Margin = 76.3%

Therefore, Korey's gross profit margin is c. 76.3%

Answer:

c) 76.3%

\(\hrulefill\)

Step-by-step explanation:

Gross profit margin is a percentage that shows how much money a company keeps from its sales after taking away the costs of making the products they sell. It helps us understand how well the company is managing its expenses and making a profit.

To calculate Korey's gross profit margin, we can use the formula:

\(\boxed{\sf Gross \;Profit \;Margin =\dfrac{Gross\;profit}{Net\; Sales} \times 100}\)

Given information:

(Note: The net income of $1,850 is not related to the calculation of the gross profit margin).

Substitute the given values into the formula:

\(\begin{aligned}\sf Gross \;Profit \;Margin& =\sf \left (\dfrac{Gross\; Profit}{Net\; Sales}\right) \times 100}\\\\&=\sf \left (\dfrac{3320}{4350}\right) \times 100}\\\\&=\sf 0.76321839 \times 100}\\\\&=\sf 76.3\%\;(nearest\;tenth)\end{aligned}\)

Therefore, Korey's gross profit margin is approximately 76.3% (rounded to the nearest tenth).

Answer:

900

Step-by-step explanation:

4F + F =1125

5F = 1125

F=225

C=4F

C=4(225)=900

900 + 225=1125

Answer:2309.07in³

Step-by-step explanation: