Three consecutive even integers such that the sum of the smallest integer and twice the middle integer is 20 more than the largest integer. What is the largest integer?

The probability that she gets 1 purple marble, 1 pink marble, and 2 green marble are 0.03.

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

The probability of getting 1 purple marble = 6/12 = 1/2

Now the number of marbles in jar B = 12 - 1 = 11

The probability of getting 1 pink marble from jar B = 4/11

The probability of getting 1 green marble from jar A = 4/9

The number of remaining marbles = 9 - 1 = 8 and the remaining green marble = 3.

The probability of getting 2nd-time green marble = 3/8

The probability of getting 1 purple marble, 1 pink marble, and 2 green marble ⇒ 1/2 x 4/11 x 4/9 x 3/8 = 48/1584 = 0.03

Hence "There is a 0.03 percent chance that she will receive one purple marble, one pink marble, and two green marbles".

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f(x) from the given equation, we get: xv' = -2v + C²² (C₂²-1) 1 – Cx Cx - + D X

To show that the substitution u = y' leads to a Bernoulli equation, we need to substitute y' with u in the given equation:

xy" = y' + (y')³ C²² (C₂²-1) 1 – Cx Cx - + D X

Substituting y' with u, we get:

xu' = u + u³ C²² (C₂²-1) 1 – Cx Cx - + D X

Now, we have an equation in terms of x and u.

To solve this equation, we can rearrange it by dividing both sides by x:

u' = (u + u³ C²² (C₂²-1) 1 – Cx Cx - + D X) / x

Next, we can multiply both sides by x to eliminate the denominator:

xu' = u + u³ C²² (C₂²-1) 1 – Cx Cx - + D X

This is the same equation we obtained earlier after the substitution.

Now, we have a Bernoulli equation in the form of xu' = u + u^n f(x), where n = 3 and f(x) = C²² (C₂²-1) 1 – Cx Cx - + D X.

To solve the Bernoulli equation, we can use the substitution v = u^(1-n), where n = 3. This leads to the equation:

xv' = (1-n)v + f(x)

Substituting the value of n and f(x) from the given equation, we get:

xv' = -2v + C²² (C₂²-1) 1 – Cx Cx - + D X

This is now a first-order linear differential equation. We can solve it using standard techniques, such as integrating factors or separating variables, depending on the specific form of f(x).

Please note that the specific solution of this equation would depend on the exact form of f(x) and any initial conditions given. It is advisable to use appropriate techniques and methods to solve the equation accurately and obtain the solution in a desired form.

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The calculated value of x in the isosceles triangle is 52 degrees

From the question, we have the following parameters that can be used in our computation:

The triangle such that

The triangle is an isosceles triangle

The base angles in an isosceles triangle are equal

This means that

The measure of angle x and the angle 52 degrees are equal

Using the above as a guide, we have the following:

x = 52 degrees

Hence, the value of x is 52 degrees

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Answer:

lrarning only lang po yan

Step-by-step explanation:

basa lqng

Answer:

78

Step-by-step explanation:

because I know everything

Answer:

B

Step-by-step explanation:

The Government Soldiers didn't knew that they were Americans

Answer:

B) the government soldiers did not know the climbers were Americans when they started shooting at them.

Step-by-step explanation:

the other answers don't make sense.

There was no mention of A) a message C) not knowing how to communicate

D) trying to warn about the rebels.

By context clues, we can infer that when it was revealed that they were Americans, they realized they were on the same side and began to help them and stopped shooting at them.

By evaluating a linear equation, we will see that after two seconds there are 93 gallons of fuel.

We know that the tank initially has 103 galons of fuel, and we know that it releases 5 gallons per second at a constant rate.

So, after x seconds, the amount of fuel inside the container is:

F(x) = 103 - x*5

so we have a linear equation.

The amount of fuel in the tank after 2 seconds is given by:

F(2)=  103 - 2*5 = 103 - 10 = 93

After 2 seconds there are 93 gallons of fuel.

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Answer:

C

Step-by-step explanation:

Everything else doesn't really make sense

Answer:

C. headquarters

Step-by-step explanation:

is the correct answer. A headquarters is the main office or center of operations for a business, particularly a large multinational corporation. A subsidiary, on the other hand, is a company that is owned or controlled by another company, often referred to as the parent company or holding company. A home locale is not a commonly used term in business, but it could refer to the location where a company is based or originated.

The expression represents the amount of tip, that Nina will give, when she has a positive experience eating a meal that cost n dollars is \(0.18n\). Hence the option A is the correct option.

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The  algebraic expression are used represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic expression-

Given information-

The tip given by the the Nina is 18 percent.

The cost of food is \(n\) dollars.

Here the Nina gave the tip of 18 percent. This 18 percent is the percentage of total cost of the food.

Let \(f(n)\) is the required expression.

As the the cost of food is \(n\) dollars. Thus the 18 percent of \(n\) dollars is,

\(f(n)=\dfrac{18}{100} \times n\\f(n)=0.18n\)

Thus the expression represents the amount of tip, that Nina will give, when she has a positive experience eating a meal that cost n dollars is \(0.18n\). Hence the option A is the correct option.

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Answer:

The population can be divided into strata so that the individuals in each stratum are as much alike as possible.

Step-by-step explanation:

In short, if you can group the population into subgroups and are interested in their sub properties, then use stratified random sampling. If not, and interested only in the entire population as a whole, then use simple random sampling.

Simple random sampling, as the name suggests, is simply sampling randomly from the population. It doesn't make any assumptions of sub-classifications about the given population and is only interested in sampling the population as a whole representative.

Stratified random sampling, as the name suggests, does sampling on strata( parts or subgroups divided in the population). The sampling then is done from each group proportionate to the group's size versus the population size.

  One example is when you've got red, green and blue colored balls as the population and you want to sample the population based on colors, then the colored groups are strata and thus, the sampling will be done on subgroups and such type of sampling will be called as stratified random sampling.

Simple random sampling doesn't care about sub-properties in the population. It consider the population as whole and doesn't differentiate classes in the population, unlike stratified random sampling.

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Answer:

Step-by-step explanation:

If

τ

1

and

τ

2

are two typologies on non-empty set

X

, then ………………. is topological space.

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer: Dome Fuji, in Antarctica, is the coldest place in the world with a record low of –92 degrees.

Step-by-step explanation:

Mean is also known as an average value amoung a set of data points, results, and tests.

Mathematically, mean ( average ) is defined as a weighted sum of data points. This can be expressed in a symbolic form as follows:

Where,

We are given with the following set of data points:

And we have a total of:

We will go ahead and plug in the respective values given into the formula for determining the mean value as follows:

Plug in the respective data points as follows:

Evaluate as follows:

The mean ( average ) value for the given set of data points is:

In contrast, crisp logic is a boolean system that requires exact matches between input and output values.

In fuzzy logic, the membership of a particular element in a set is not binary (i.e., 0 or 1) but rather a degree of membership between 0 and 1.

It is frequently used to represent the ambiguous notion of "medium" or "average" in which there is no clear definition of what "medium" entails.

A fuzzy set is a class of objects with a continuum of grades of membership. Fuzzy sets contrast with crisp sets, which are binary and allow only for partial membership (or none at all) in contrast to fuzzy sets.

Three differences between fuzzy and crisp values with a suitable example are as follows:

1. Fuzzy values can be any value between 0 and 1, while crisp values can only be 0 or 1.

For example, in crisp logic, "is an apple red?" can only be true or false.

In fuzzy logic, "how red is the apple?" can be answered with a value between 0 and 1.

2. Fuzzy values can be used to model the degree of uncertainty, while crisp values cannot.

3. Fuzzy values can be used to represent vague or ambiguous concepts, while crisp values cannot.

For example, the concept of "young" is vague and can mean different things to different people.

A fuzzy value can be used to represent this ambiguity in a precise and logical way.Fuzzy logic allows you to use membership functions to map input values to output values.

In contrast, crisp logic is a boolean system that requires exact matches between input and output values.

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Answer:

$1555.91

Step-by-step explanation:

First Month:

You start out with $500.

You add $200 in the first month, and have 700.

Multiply 700 by 1.01, to add the interest and you get 707.

Second Month:

707 + 200 = 907

907 x 1.01 = 916.07

Third Month:

916.07 + 200 = 1116.07

1116.07 x 1.01 = 1127.2307

Fourth Month:
1127.2307 + 200 = 1327.2307

1327.2307 x 1.01 = 1340.503007 (round to .50)

Fifth Month:

1340.50 + 200 = 1540.50

1540.50 x 1.01 = 1555.905

Round to 1555.905 1555.91, and there's your answer. Hope this helps!

Answer:

$17.43

Step-by-step explanation:

30% of 24.9 is 7.47, subtract 7.47 from 24.9 and you get 17.43

We can see here that the solutions to the triangles are:

1. 62.2°.

2. 35.9°

3. 61.9°

4. 53.1°

We can see here that using trigonometric ratio formula, we find the values of x.

We see the following:

1. Cos x = 7/15 = 0.4666

x = \(cos^{-1}\) 0.4666 = 62.2°.

2. Sin x = 27/46 = 0.5869

x° = \(sin^{-1}\)  0.5869  = 35.9°

3. Sin x = 30/34 = 0.8823

x° = \(sin^{-1}\) 0.8823 = 61.9°

4. Tan x = 8/6 = 1.3333

x° = 1.3333 = 53.1°

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Answer:

D.

Step-by-step explanation:

So, Lana gave away 26.32% of he Pokemon cards  to her little brother.

To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.

In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:

(125 / 475) * 100 = 0.2632 * 100 = 26.32%.

Lana gave away 26.32% of her Pokemon cards to her little brother.

Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:

Percentage given away

= (Cards given away / Total cards) * 100

= (125 / 475) * 100

= 26.32%.

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The z-score is -0.933 and the interpretation is that Andy's score is -0.933 standard deviations away from the mean.

From the question, the given parameters about the distribution are

Mean value of the set of data = 100

Standard deviation value of the set of data = 15

The actual data value = 86

The z-score of the data value is calculated using the following formula

z = (Actual data - mean value)/standard deviation

Substitute the given parameters in the above equation

z = (86 - 100)/15

Evaluate the difference

z = -14/15

Evaluate the quotient

z = -0.933

This means that the score is -0.933 standard deviations away from the mean.

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Complete question

The Wechsler IQ test is normally distributed with mean 100 points and standard deviation 15 points.

Andy Warhol was found to have an IQ of 86 on the Wechsler IQ test. What was his z-score and what does that mean in context?

The system of equations is -x + y = 4 and -2x + y = 0

To do this, we make use of the following ordered pairs

(4, 8)

The above point represents April 2008.

Let the system of equations be

mx + ny = 4

2mx + ny = 0

Substitute (4, 8) for x and y in the above equations.

4m + 8n = 4

8m + 8n = 0

Subtract both equations

4m - 8m = 4

This gives

-4m = 4

Divide by 4

m = -1

Substitute m = -1 in 8m + 8n = 0

-8 + 8n = 0

This gives

8n = 8

Divide by 8

n = 1

So, the system of equations is -x + y = 4 and -2x + y = 0

The system of equations is -x + y = 4 and -2x + y = 0

See attachment for the graph of the system

The above is represented in the (a) part of this solution

We have:

-x + y = 4 and -2x + y = 0

Substitute (4, 8) for x and y in the above equations.

-4 + 8 = 4 --- true

-2*4 + 8 = 0 --- true

Both equations are true

Hence, the system of equations have been verified

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Answer:

To find the number of courts with doubles matches, we need to determine the total number of players playing doubles. If each court with a doubles match has 4 players, then the total number of players playing doubles would be 4 times the number of courts playing doubles.

Since there are 28 players in total, and each court with a singles match has 2 players, the number of players playing singles would be 28 - 4x, where x is the number of courts playing doubles.

Since each court with a singles match has 2 players, the number of courts playing singles would be 28/2 = 14.

So, 28 - 4x = 14, and solving for x, we get x = 7.

Therefore, there are 7 courts with doubles matches and 14 courts with singles matches.

The dot represents the vertex, and the x represents the point where the parabola touches the x-axis. The parabola is symmetric about the vertical line x = h and does not cross the x-axis anywhere else.

A parabola is a type of curve that is defined by a specific mathematical equation, namely, the quadratic equation. It is a symmetrical curve that can be described as the shape of the graph of a quadratic function.

by the question.

If (h, k) is a zero of the function, then. \(f(h) = 0\). Substituting this into the equation for f(x), we get:

\(0 = a(h - h)^2\)

\(0 = 0\)

This is a true statement, which tells us that (h, k) is indeed a zero of the function.

Now, let's consider the graph of this function. Since the coefficient a is non-zero, the parabola will be facing either upwards or downwards. If a > 0, then the parabola will be facing upwards, and if a < 0, then the parabola will be facing downwards.

Since the vertex of the parabola is at (h, k), the axis of symmetry is the vertical line x = h. Therefore, the parabola is symmetric about this line.

Finally, since (h, k) is also a zero of the function, the parabola must cross the x-axis at x = h with a single point of tangency. This means that the parabola just touches the x-axis at this point and does not cross it.

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The probability that a child is not allergic to nuts is 0.986, or 98.6%.

The probability that a child is not allergic to nuts can be calculated by subtracting the probability of being allergic to nuts from 1.

Given the probabilities of a child being allergic to nuts, dairy, and gluten, we are interested in finding the probability that a child is not allergic to nuts.

The probability of being allergic to nuts is given as 0.014.

To find the probability that a child is not allergic to nuts, we subtract this value from 1.

P(Not allergic to nuts) = 1 - P(Allergic to nuts) = 1 - 0.014 = 0.986

Therefore, the probability that a child is not allergic to nuts is 0.986, or 98.6%.

This calculation is based on the assumption that being allergic to nuts and being allergic to other foods are independent events.

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Answer: n=64

Step-by-step explanation:

Answer:

-12/15

Step-by-step explanation:

Answer:

-4/5

Step-by-step explanation: