Please i need someone help.

The money raised by the student club in the first 3 months is $740.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given that the money raised was 37% of $2000. This is represented as:

x = 37/ 100 × 2000

x = 740

Hence the money raised by the student club in the first 3 months is $740.

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Answer:$740

Step-by-step explanation:

AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

What is congruent ?

Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.

Step 1: Statement: \($\angle DBE = \angle EBC$\)

Reason: Given that overline BE bisects \($\angle DBC$\)

Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)

Reason: Angle sum property of a straight line.

Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)

Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.

Step 4: Statement: \($\angle ABC = \angle DBC$\)

Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).

Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)

Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.

Step 6: Statement: \($AB = BC$\)

Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).

Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

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To calculate the perimeter and volume of the small rectangular mirror, we'll use the given dimensions in inches and convert the final answer to centimeters.

First, let's calculate the perimeter of the front of the mirror:

Perimeter = 2 * (length + width)

Perimeter = 2 * (2.2325 in + 1.116 in)

Perimeter = 2 * 3.3485 in

Perimeter = 6.697 in

Now, let's convert the perimeter from inches to centimeters:

Perimeter_cm = Perimeter * 2.54 cm/in

Perimeter_cm = 6.697 in * 2.54 cm/in

Perimeter_cm = 17.00138 cm (rounded to 5 significant figures)

Next, let's calculate the volume of the mirror:

Volume = length * width * thickness

Volume = 2.2325 in * 1.116 in * 0.041 in

Volume = 0.10137243 in^3

Now, let's convert the volume from cubic inches to cubic centimeters:

Volume_cm = Volume * (2.54 cm/in)^3

Volume_cm = 0.10137243 in^3 * (2.54 cm/in)^3

Volume_cm = 1.66487136112 cm^3 (rounded to 6 significant figures)

Therefore, the perimeter of the front of the mirror is approximately 17.001 cm and the volume of the mirror is approximately 1.66487 cm^3.

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Answer:

Step-by-step explanation: Let me ask a pro so you can get it accurate.

Answer:

The least common multiple 150 is a product of common & odd prime factors between the integers which is divisible by each one an integer of this same group.

Answer:

150

Step-by-step explanation:

25*6=150

10*15=150

30*5=150

a. Optimal solution: X1 = 140, X2 = 0, X3 = 80, Objective Function Value = 4700.000.

b. The first constraint (4X1 + 5X2 + 8X3 < 1200) is binding.

c. The dual price for the second constraint is 2.333, indicating that for each unit increase in its right-hand side value, the objective function value increases by 2.333.

d. The objective function coefficient of X2 can vary between 30 and 40 without changing the optimal solution

a. The complete optimal solution is:

X1 = 140

X2 = 0

X3 = 80

Objective Function Value = 4700.000

b. The first constraint (4X1 + 5X2 + 8X3 < 1200) is binding because it has a slack/surplus value of 0.

c. The dual price for the second constraint (9X1 + 15X2 + 3X3 < 1500) is 2.333. This means that for each unit increase in the right-hand side value of the second constraint, the objective function value will increase by 2.333 units, assuming all other variables and constraints remain constant.

d. The objective function coefficient of X2 can vary between 30 and 40 before a new solution point becomes optimal. This means that as long as the coefficient remains within this range, the current solution will still be optimal. However, if the coefficient of X2 goes below 30 or above 40, a new optimal solution may be obtained.

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Answer:

240 students

Step-by-step explanation:

If 84 represents 35% then 100%=(84/35)(100)

240 students

Answer: D

Step-by-step explanation:

The probability of being dealt 4​, ​5, 6​, 7​, and 8​, not necessarily in the same​ suit is  0.00039.

The cards 4,5,6,7, and 8 are given to us. We must figure out the probability of obtaining these cards in a deal. As we already know, probability equals the number of possible card selection methods divided by the total number of possible card selection methods. The amount of card selection options will therefore be determined initially.

We know that there are four cards of each number, 4, 5, 6, 7 and 8, in a deck of 52 cards. This means that there will be an equal number of possibilities to choose one card from the decks of 4, 5, 6, 7 and 8 when raised to the power of five.

Possible ways= 4^5= 1024

Total selection= C(52,5)= 2598960

Probability of being dealt with  4​, ​5, 6​, 7​, and 8​ is 1024/2598960 which is equal to 0.00039.

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The system of equations has X(t) = [cos 2t + sin 2t, sin 2t] as a solution.

To find a planar linear system such that X(t) = [cos 2t + sin 2t, sin 2t] is a solution, we can set up a system of differential equations.

Let's define two variables x(t) and y(t) as the components of X(t):

x(t) = cos 2t + sin 2t

y(t) = sin 2t

Now, let's differentiate both equations with respect to t:

x'(t) = -2sin 2t + 2cos 2t

y'(t) = 2cos 2t

We can rewrite these equations in the form of a planar linear system:

x'(t) = -2y(t) + 2x(t)

y'(t) = 2x(t)

Therefore, the planar linear system is:

dx/dt = -2y + 2x

dy/dt = 2x

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In Herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to behaviour.

THE MATCHING LAW

Herrnstein's Experiment Herrnstein (1961) conducted an experiment with pigeons in a room with two response buttons, red and white. Each key was assigned its own VI gain schedule. For example, under one condition, the left button pick was boosted on a VI 135 second schedule, and the right button pick was boosted on a VI 270 second schedule.

After the birds have learned as much as possible about this electoral situation, how do they distribute their responses? We trained them for days and then measured their reactions. As is often the case with VI schedules, birds returned many responses for each reinforcer received. Most interesting, however, is that in this condition, where two-thirds of the reinforcers came from the left button, the birds performed about two-thirds of the responses with the left button. That is, the proportion of left button responses equaled or matched the proportion of reinforcers delivered by the left button. In another condition, two birds received only about 15% of reinforcers from the left key and responded about 15% to that key.

Based on these results, Herrnstein proposed the following general principle for individual behavior when presented with alternative sequences. So, what you think makes sense rather than other options available at that particular moment.

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Answer:

70 could represent the total number of points nolan can earn on the test

Step-by-step explanation:

Answer:

A 1/3

Step-by-step explanation:

i think it is.

Also make sure to eat if you have not and have a great day while you can you don't know when your gonna perish...

The Reagan doctrine of American activism in the Third World was most particularly exercised in Nicaragua and Grenada. These countries became focal points of U.S. involvement and intervention.

The Reagan doctrine, implemented during the presidency of Ronald Reagan in the 1980s, aimed to counter Soviet influence and promote American interests in the Third World. This doctrine was characterized by a strong anti-communist stance and support for anti-communist governments and movements. Among the various countries where the Reagan doctrine was applied, Nicaragua and Grenada stand out as prime examples.

In Nicaragua, the Reagan administration actively supported the Contras, a rebel group fighting against the Sandinista government. The Contras were seen as a counterforce to the left-wing Sandinistas, who were aligned with the Soviet Union and Cuba. The United States provided financial and military assistance to the Contras, including covert operations, in an effort to undermine the Sandinista regime.

Grenada, a small island nation in the Caribbean, also witnessed American intervention under the Reagan doctrine. The United States launched Operation Urgent Fury, invading Grenada and overthrowing the government, with the stated objective of protecting American citizens and restoring democracy.

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The elements of the complement of set K (K') are {1, 4, 6, 8, 9}.

The elements of the complement of set K (K'), we need to determine all the elements in the universal set that are not in set K.

The universal set, denoted as U, is defined as the set of positive integers less than 10.

The elements in the universal set U are {1, 2, 3, 4, 5, 6, 7, 8, 9}.

Set K is defined as the set of prime numbers.

The prime numbers less than 10 are {2, 3, 5, 7}.

To find the complement of set K (K'), we need to identify all the elements in the universal set U that are not in set K.

K' = U - K

Substituting the values, we have:

K' = {1, 2, 3, 4, 5, 6, 7, 8, 9} - {2, 3, 5, 7}

Performing the set difference operation, we remove the elements in set K from the universal set U:

K' = {1, 4, 6, 8, 9}

These are the positive integers less than 10 that are not prime numbers.

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When dealing with replacement, there is always a certain degree of uncertainty as to what the next outcome will be. This is the reason theoretical probability predict on exact numbers of outcomes.

Theoretical probability is a branch of mathematics that deals with the study of the probability of events occurring based on the assumptions of certain conditions.

It involves the use of formulas and mathematical models to predict the likelihood of certain outcomes. However, it cannot predict the exact numbers of outcomes of a replacement because of the randomness involved in such events.

This is because the replacement process involves randomness, and the outcome of each trial is independent of the previous trials. Therefore, even though the theoretical probability may provide a reasonable estimate of the likelihood of certain outcomes, it cannot predict the exact numbers of outcomes with certainty.

For instance, consider a situation where you have a bag containing ten balls numbered from 1 to 10. You draw a ball, record its number, and then replace it before drawing again.

The theoretical probability of drawing any of the ten balls is 1/10, but it cannot predict the exact number of times a particular ball will be drawn. The outcome of each draw is independent of the others, and the replacement process involves randomness, making it impossible to predict the exact numbers of outcomes.

In conclusion, theoretical probability is a useful tool for predicting the likelihood of certain outcomes in various scenarios. However, when it comes to predicting the exact numbers of outcomes of a replacement, the randomness involved in the process makes it impossible to provide an exact prediction.

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Answer:

Step-by-step explanation:

Q. 2

- 4x + 2y = 16

y = 2x + 8

( - 3, 2 )

Q. 3

y = 2x + 3

Not proportional

It should be noted that the volume of the cuboid will be 32cm³.

It should be noted that the volume of a cuboid is simply calculated by multiplying the length by the width and the height.

It should be noted that the following can be deduced based on the information illustrated:

Length of the cuboid = 4 cm

Width of the cuboid = 2 cm

Height of the cuboid = 4 cm

Therefore, the volume of the cuboid will be:

= Length × Width × Height

= 4cm × 2cm × 4cm

= 32cm³.

The dimensions were based one the faces of the number cubes that wee illustrated.

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The surface area of this locker is 432 square centimeters .

The right rectangular prism shown in the figure has dimensions 8 cm (length) x 6 cm (width) x 12 cm (height).

1. The top and bottom faces are both rectangles with dimensions 8 cm (length) x 6 cm (width). The area of each face is:

A = length x width = 8 x 6 = 48 cm²

Since there are two of these faces, the total area is:

2 x 48 = 96 cm²

2. The front and back faces are also rectangles with dimensions 8 cm (length) x 12 cm (height). The area of each face is:

A = length x height = 8 x 12 = 96 cm²

the total area is:

2 x 96 = 192 cm²

3. The left and right faces are rectangles with dimensions 6 cm (width) x 12 cm (height). The area of each face is:

A = width x height = 6 x 12 = 72 cm²

the total area is:

2 x 72 = 144 cm²

4. Therefore, the total surface area of the locker is the sum of all the faces:

Total surface area = 96 + 192 + 144 = 432 cm²

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If the radius of the cylinder is 47 feet. Then the volume of the cylinder will be 277,450.4 cubic feet.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

Jerry, Skyler, and kyle were measuring the tank (cylinder) for storing the water tower on the hill.

Working together jerry and Skyler determine the circumference was approximately 295.3 feet.

Kyle measured the height to be about 40 feet.

Then the volume of the cylinder will be

Volume = πr²h

Then the value of r will be

We know the circumference. Then the radius will be

295.3 = 2πr

       r = 47 ft

Then we have

Volume = π x 47² x 40

Volume = 277,450.4 cubic ft

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The correct interpretation for a 99% confidence interval estimate is (a) "we are 99% confident that the true population mean is covered by the calculated confidence interval."

This means that if we were to repeat the sampling procedure many times and calculate a confidence interval each time, about 99% of these intervals would contain the true population mean. It does not mean that there is a 99% probability that the population mean lies within the calculated interval, and it does not guarantee that the calculated interval contains the true population mean. The correct interpretation for a 99% confidence interval estimate is (a) "we are 99% confident that the true population mean is covered by the calculated confidence interval."

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Part A) Solve for x because it has a coefficient of 1 in both equations.

Part B)  The solution is,

⇒ (x, y) = (57/8, 16/3)

Part C) The slope is,

⇒ m = 128/171

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equation are,

⇒ x + y = 10

⇒ 2y = x + 6

Now, We can solve the equation as,

⇒ x + y = 10

⇒ 2y - x = 6

Add both equation,

⇒ 3y = 16

⇒ y = 16/3

⇒ x + y = 10

⇒ x + 16/13 = 10

⇒ x = 10 - 16/13

⇒ x = 57/8

Hence, The solution is,

⇒ (x, y) = (57/8, 16/3)

Thus, The slope is,

⇒ m = (16/3) / (57/8)

       = 16×8 / 3×57

       = 128/171

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Answer:

6(2z^2-z+7)

Step-by-step explanation:

If the p-value is .11 and the significance level is .05, we conclude that there is not enough evidence to reject the null hypothesis at the 5% significance level.

If your p-value is 0.11 and the significance level is 0.05, you conclude that there is insufficient evidence to reject the null hypothesis. Since the p-value is greater than the significance level, you cannot determine a statistically significant difference or relationship.

In other words, we cannot conclude that there is a significant difference between the groups being compared.

However, it is possible that there is a small effect or difference that we are unable to detect with our sample size and statistical test.

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The limit can be expressed as the definite integral ∫2⁸ [3(x*)³ - 8x*] dx on the interval [2,8].

To express the limit as a definite integral on the given interval [2,8], we need to use the definition of the definite integral.

First, we can rewrite the expression inside the limit using the definition of xi* (the sample point):

3(xi*)³ - 8xi* = 3[(2 + iΔx)*]³ - 8(2 + iΔx)*

Next, we can rewrite the limit as the definite integral of this expression:

lim n→[infinity] n i = 1 [3(xi*)³ - 8xi*]Δx = ∫2⁸ [3(x*)³ - 8x*] dx

where x* is the sample point in each subinterval.

Therefore, the limit can be expressed as the definite integral ∫2⁸ [3(x*)³ - 8x*] dx on the interval [2,8].

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Answer:

oh no i dunno how to do this

Step-by-step explanation:

Answer:

36, 6, (1/)36

1/6 ^ -2 = 6^2 = 36

1/6 ^ -1 = 6^1 = 6

1/6 ^2 = 1/36

Hamid is going to take one of his T-shirts at random.

The probability of selecting a light blue T-shirt is \(\frac{1}{4}\) or \(0.25\).

a) To find the probability that the T-shirt will be grey, we need to determine the ratio of grey T-shirts to the total number of T-shirts.

From the given information, we know that Hamid has 2 grey T-shirts out of a total of 20 T-shirts.

Therefore, the probability of selecting a grey T-shirt at random is \(\frac{2}{20}\), which simplifies to \(\frac{1}{10}\) or \(0.1\).

b) To find the probability that the T-shirt will not be red, we need to determine the ratio of non-red T-shirts to the total number of T-shirts.

Hamid has 4 red T-shirts, so the number of non-red T-shirts is

\(20 - 4 = 16\).

Therefore, the probability of selecting a T-shirt that is not red is \(\frac{16}{20}\), which simplifies to \(\frac{4}{5}\) or \(0.8\).

c) If Hamid takes one of his blue T-shirts at random, we need to consider the ratio of blue T-shirts to the total number of T-shirts.

From the information provided, we know that Hamid has a total of 4 blue T-shirts.

Therefore, the probability of selecting a blue T-shirt at random is \(\frac{4}{20}\), which simplifies to \(\frac{1}{5}\) or \(0.2\).

d) If Hamid takes one of his blue T-shirts at random, the probability that the T-shirt is light blue depends on the ratio of light blue T-shirts to the total number of blue T-shirts.

From the information provided, there is only 1 light blue T-shirt and a total of 4 blue T-shirts.

Hence, the probability of selecting a light blue T-shirt is \(\frac{1}{4}\) or \(0.25\).

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Answer:

Explanation:

180 - 98 = 82°

The angle R corresponds to the angle E.

This comes from the fact that they are alternate interior angles.