A jar contains 22 red marble number 1 to 2252 blue marbles numbered 1252 a marble is drawn at random from the door find the probability of the given event round solution a 3 decimal places

Paul pays 1/10 of the holiday cost, while Billy pays 1/2 and Joe pays 2/5.

To determine the fraction of the holiday cost that Paul pays, we need to find the remaining portion after Billy and Joe have paid their shares.

Let's start by calculating the sum of the fractions Billy and Joe have paid:

Billy's share = 1/2

Joe's share = 2/5

To find the combined share of Billy and Joe, we add their fractions:

1/2 + 2/5

To add these fractions, we need a common denominator. The least common multiple of 2 and 5 is 10. So, we can convert the fractions to have a common denominator of 10:

1/2 = 5/10

2/5 = 4/10

Now, we can add the fractions:

5/10 + 4/10 = 9/10

Billy and Joe have paid a combined fraction of 9/10 of the holiday cost. To find the fraction that Paul pays, we need to determine the remaining portion, which can be calculated by subtracting the combined fraction from 1 (since 1 represents the whole).

Remaining fraction = 1 - 9/10

= 10/10 - 9/10

= 1/10

Therefore, Paul pays 1/10 of the holiday cost.

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The state space for the Markov chain {Xn} is {0, 1, 2}. At any time, Xn can only be 0, 1, or 2, depending on how many red balls are in the urn.

The transition probabilities for the Markov chain are as follows:

If Xn = 0, the next state Xn+1 can only be 1, with a probability of 1.0.

If Xn = 1, the next state Xn+1 can either be 0 or 2, with a probability of 0.5 each.

If Xn = 2, the next state Xn+1 can only be 1, with a probability of 1.0.

So, the transition probabilities can be represented in a transition matrix as follows:

P = [  [0, 1, 0],

 [0.5, 0, 0.5],

 [0, 1, 0]

]

This transition matrix represents the probabilities that the Markov chain will transition from one state to another in one step.

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No, what they said is not fact.

The statement "producing great engineers who benefit science and technology in India is the most important function of IITs" and "IITs are greatly improving the image of India in the West" are both important functions of IITs, and the priority of these functions may depend on individual perspectives and goals.

Some people might argue that producing engineers is more crucial for the development of India's technology and economy, while others might argue that improving the image of India in the West is equally important for increasing its global recognition and competitiveness. Both functions play important roles and it is a matter of perspective which one is considered more important.

Correct Question :

Jai: IITs are producing great engineers, who ultimately end up benefiting science and technology in India, but more important is the fact that they are greatly improving the image of India in the west

Vijay: No, you're mistaken. Producing great engineers who benefit science and technology in India is the most important function of IITs. Without IITs, most of our software industry wouldn't have existed.

What they said is fact or not? Explain.

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The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)

To explain further, we need to understand the properties of rational and irrational numbers.

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.

In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.

Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.

Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.

Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.

In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)

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Answer:

a^2+b^2=c^2 A and b need to add upp to c^2

Step-by-step explanation:

3^2+4^2=5^2

9+16=25

25=25

8^2+15^2=17^2

64+225=289

289=289

Answer:

24 square inches

Step-by-step explanation:

Based on the diagram or figure given, The  area of the figure is known to be 24 square inches.

The area of a figure is known to be the rate or the number of unit squares that is said to have cover the surface of a closed figure.

Note that the area is often measured in square units such as (cm²) and in the case above, the Based on the diagram or figure given, The  area of the figure is known to be 24 square inches.

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Answer:

0.0625

Step-by-step explanation:

hope this helps :)

Function graph that has y- intercept of 3 is g(x) = 3\((\frac{1}{4}) ^{x}\).

y- intercept will be 3 when we will put value of x = 0 and y will be 3 that graph will have y intercept 3

A) h(x) = 5\((2)^{x}\)

when x = 0

Any number with zero power is always 1

h(x) = 5

B) h(x) = 5\((0.5)^{x}\) + 0.5

when x = 0

h(x) = 5 + 0.5

h(x) = 5.5

C) g(x) = 3\((\frac{1}{4}) ^{x}\)

when x = 0

g(x) = 3

Here we get y intercept as 3.

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The required amount of potassium-42 left after 62.0 hours is 26.5 grams.

Given that,
Potassium-42 has a half-life of 12.4 hours. How much of an 848-gram sample of potassium-42 will be left after 62.0 hours is to be determined.

The half-life of the element is defined as the time span in which the element grows or decays half of its whole composition of growth and decay.

Here,
Amount left of the potassium after 62 hours is given as,
A = 848 [1 / 2 ] ⁶²/¹²°⁴
A = 26.5 gram

Thus, the required amount of potassium-42 left after 62.0 hours is 26.5 grams.

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Answer:

12.4m

Step-by-step explanation:

In order to solve this equation, we can use the length of a carriage as our unknown value (using the engine is a bit more difficult). The questions says that the whole train: 4 carriages and an engine = 86.8m

If we represent carriage length as 'x', we can write the following equation:

4x (length of 4 carriages) + (2/3)x (length of engine as it is 2/3 of a carriage) = 86.8m

4x+(2/3)x = 86.8

From here we can combine into one fraction:

\(4x+\frac{2}{3} x=\frac{14}{3}x\)

So now our equation looks like this:

\(\frac{14x}{3}=86.8\)

Now all we need to do is multiply both sides by 3 and then divide both sides by 14 to isolate and solve x:

\(\frac{14x}{3}*3=86.8*3\\ 14x=260.4\\\frac{14x}{14}=260.4/14\\ x=18.6\\\)

Now that we know the carriage length, we can use it to find the engine length:

Engine length = 2/3 Carriage length

\(E=\frac{2}{3}x\\ E=\frac{2}{3} (18.6)\\E = 12.4m\)

Hope this helped!

Length of a carriage = x

Length of four carriages = 86.8 m

Length of each carriage =

\(86.8 \div 4 \: m \\ = \: 21.7 \: m\)

Length of one carriage = 21.7 m

Length of the engine =

\( = \frac{2}{3} x\)

\( = \frac{2}{3} \times 21.7\)

\( = 43.4 \: m\)

\(43.4 \div 3 \: m \\ = 14.4666666667 \: m\)

∴ The length of the engine is 14.4666666667 m .

The range is the best measure of variability for this data, and its value is 4.

The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).

The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:

Range = Maximum value - Minimum value = 4 - 0 = 4

Therefore, the range is the best measure of variability for this data, and its value is 4.

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Answer:

$100.75

Step-by-step explanation:

422.05 - 106.30 - 310.00 + 95.00 = 100.75

The equation you used is correct, but the differential equation does not include the growth rate. The growth rate is proportional to the current population, so the differential equation should look like this:  dp/dt = kP - 20,000t

dp/dt = kP - 20,000t  , Where k is the growth rate. To solve this equation, we can use the separation of variables: dp/P = kdt - 20,000tdt

Integrating both sides, we get:

ln|P| = kt - 20,000t^2/2 + C, Where C is the integration constant. To find C, we can use the initial population of 200,000:

ln|200,000| = -0.099t - 20,000t^2/2 + C

=>C = ln|200,000| + 0.099t + 20,000t^2/2  .Therefore, the population of mosquitoes at any given time t is:

P = 200,000e^(-0.099t - 20,000t^2/2 + ln|200,000| + 0.099t + 20,000t^2/2)  = 200,000e^(ln|200,000|)  = 200,000

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Answer:

---------------------------

There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.

Find the sum of areas of all five faces:

Cost of necklace is $939 and cost of bracelet is 645

Given that;

Number of necklace = 1

Number of bracelets = 4

Cost of necklace = Cost of bracelets + 294

Find:

Cost of necklace

Computation:

Assume;

Cost of bracelets = a

Cost of necklace = a + 294

So,

4a + a + 294 = 3519

5a + 294 = 3519

5a = 3225

a = 645

Cost of necklace = 645 + 294

Cost of necklace = $939

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Answer:

The odds of you grabing a 5 dollar bill are 75% and the odds of grabing a 1 dollar bill are 25% or 1/4.

Step-by-step explanation:

The odds against grabbing a $5 bill are 6:8, which can be simplified to 3:4.

To determine the odds against grabbing a $5 bill from your wallet, we need to calculate the ratio of unfavorable outcomes (grabbing a $5 bill) to favorable outcomes (grabbing any bill).

In your wallet, there are a total of 6 $5 bills + 2 $1 bills = 8 bills.

The number of unfavorable outcomes (grabbing a $5 bill) is 6, and the number of favorable outcomes (grabbing any bill) is 8.

Therefore, the odds against grabbing a $5 bill are 6:8, which can be simplified to 3:4.

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Answer:

48

Step-by-step explanation:

Here we will show you how to calculate 8 divided by 1/6. We will give you the answer in fraction form and in decimal form.

Here is 8 divided by 1/6 displayed mathematically in colors:

8

 ÷    

1

6

The numbers in 8 divided by 1/6 are labeled below:

8 = whole number

1 = numerator

6 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

8 x 6

1

 =  

48

1

Thus, the answer to 8 divided by 1/6 in fraction form is:

48

1

To make the answer to 8 divided by 1/6 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

48 / 1 = 48

The answer is rounded to the nearest two decimal points if necessary.

48/1 is an improper fraction and should be written as 48.

Answer:

Step-by-step explanation:

In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."

The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:

Introduction to Variables and Expressions:

Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.

Solving One-Step Equations:

Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.

Solving Two-Step Equations:

Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.

Writing and Graphing Linear Equations:

Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.

Systems of Linear Equations:

Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.

Word Problems and Applications:

Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.

The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.

By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Answer:

y = 19

Step-by-step explanation:

19-9=10

y = 19

No, it cannot equal one because if it did the answer would be -8. If you add 10 and 9 it is equal to 19, which means that y=19.

Answer:

0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Suppose the mean income of firms in the same industry as Arc for a year is 45 million dollars with a standard deviation of 7 million dollars

This means that \(\mu = 45, \sigma = 7\)

What is the probability that a randomly selected firm will earn more than Arc did last year?

Arc earned 59 million, so this is 1 subtracted by the pvalue of Z when X = 59.

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{59 - 45}{7}\)

\(Z = 2\)

\(Z = 2\) has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year

Answer:

The rate of change is $21.5 per hour

Step-by-step explanation:

The rate of change can be found using the formula: (y^2 - y^1)/(x^2 - x^1).

(the exponents refer to which number. Y^2 refers to the y-axis number of the second number given)

So fill in the blanks:

(430 - 215)/(20– 10)

Now do the math:

430 - 215 = 215, 20 - 10 = 10

(215)/10

Divide:

215/10 = 21.5

Therefore, 21.5 is the rate of change!

Answer:

alam ko sagot pero mataas

Answer:

the sex diary ep 2 episode of the anime

In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

To determine the percentage change within the number of wolves each year, we ought to look at the development rate of the work w(x) = 14 * 1.08^x.

The development rate in this case is given by the example of 1.08, which speaks to the figure by which the number of wolves increments each year. In this work, the coefficient 1.08 speaks to a development rate of 8% per year.

To calculate the percentage change, we subtract 1 from the growth rate and increase by 100 to change over it to a rate:

Percentage change = (1.08 - 1) * 100 = 0.08 * 100 = 8%.

In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

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A metro station, often referred to as a subway station, is a railway stop for a rapid transit system, also known as a "metro" or "subway" in its whole.

Several different types of transfer stations can be found in the New York City Subway:

The Complete Question is Subway transfer stations.

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Answer:

-------------------------

Apply the Triangle Inequality Theorem.

It states that:

We'll take the sum of two shortest sides and compare with the longest:

It confirms the theorem, without testing the other two sides (which is obvious) so the answer is yes.

The matching answer choice is e).