identify the terms , constants , coefficients and variables in the equation 13x + 5y - 2 = 3

Using the probability formula the value for the largest piece is obtained as 3/4.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

Let X be the length of the largest piece when a unit stick is broken into three random pieces.

We want to find E(X), the expected value of X.

To solve for E(X), we can use the law of total probability and consider all possible lengths for the first cut.

Let Y be the length of the first piece, which can take any value between 0 and 1.

Then, we can write -

E(X) = ∫[0,1] E(X|Y=y) fY(y) dy,

where fY(y) is the probability density function of Y and E(X|Y=y) is the expected value of X given that the first piece has length y.

Now, let's consider the possible cases for the lengths of the other two pieces -

If the second cut is made in the interval [0,Y], then the largest piece has length Y.

If the second cut is made in the interval [Y,1-Y], then the largest piece has length 1-Y.

If the second cut is made in the interval [1-Y,1], then the largest piece has length Y.

Therefore, we can write -

E(X|Y = y)

= y × 1 + (1 - y) × 1/2 + (1 - y)×1  

= 1/2 + y/2.

Substituting this into the previous formula and using the fact that the density function for a uniform distribution on [0,1] is fY(y) = 1 for 0 ≤ y ≤ 1, we get -

E(X) = ∫[0,1] (1/2 + y/2) dy

= [y^2/4 + y/2] from 0 to 1

= 3/4.

Therefore, the expected length of the largest piece is 3/4.

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The given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants.

Mutually exclusive and exhaustive variables: A variable is mutually exclusive and exhaustive if it includes all possible outcomes and each outcome can only be assigned to one variable category.a. Days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday - Mutually exclusive and exhaustiveb. Days: Weekday and Weekend - Mutually exclusive and exhaustive c. Letters: Vowels and Consonants - Mutually exclusive and exhaustive. Letters: Alphabets and Consonants - Not mutually exclusive and exhaustiveThe given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants. Hence, the options a and c are correct.

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2 divided by 4 and 3 divided by 6 where these number can be any numbers that have the same ratio as 1:2 and under 0-6 and not repeating them.

A number is a fundamental building block of mathematics. For a range of tasks, including measuring, counting, and indexing, numbers are utilised. There are different types of numbers depending on their characteristics, such as natural numbers, whole numbers, rational and irrational numbers, integers, real numbers, complex numbers, even and odd numbers, etc. The basic integer arithmetic operations can be used to calculate the outcome number.

In the given question, we need to find two sets of three distinct numbers between 0 and 6 that have the same ratio.

One possible solution is:

2 divided by 4.

= 3 divided by 6

Here:

The ratio of the first set is 2:4 or 1:2. When we divide 2 by 4, we get 0.5.

The ratio of the second set is 3:6 or 1:2. When we divide 3 by 6, we also get 0.5.

Therefore, we have:

2 divided by 4.

= 0.5

3 divided by 6.

= 0.5

So, we can say:

2 divided by 4

= __ divided by __

where 3 and 6 can be any numbers that have the same ratio as 1:2.Similarly,

3 divided by 6

= __ divided by __

where 3 and 6 can be any numbers that have the same ratio as 1:2.

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In this case, since we want the sample mean to be within 0.01 of the population mean, the margin of error is 0.01.

To determine the number of grade-point averages needed to have a sample mean within 0.01 of the population mean, we can use the formula for the margin of error. The margin of error is calculated by dividing the standard deviation of the population by the square root of the sample size, multiplied by a constant value.

To find the required sample size, we need to know the standard deviation of the population. However, since it is not provided, we cannot calculate the exact number of grade-point averages needed.
If you have the standard deviation of the population, you can use the following formula to calculate the sample size:
Sample size = (Z * standard deviation) / margin of error

Where Z is the constant value that corresponds to the desired level of confidence. For example, if you want a 95% confidence level, Z would be approximately 1.96.

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The value of the given function `limit as x approaches infinity is the square root of (x^2+1)` is √(x^2 + 1).

We have to find the value of the limit as x approaches infinity for the given function f(x) = sqrt(x^2 + 1).

Let's use the method of substitution.

Replace x with a very large value of positive integer 'n'.

Now, let's solve for f(n) and f(n+1) to check the behavior of the function.f(n) = sqrt(n^2 + 1)f(n+1) = sqrt((n+1)^2 + 1)f(n+1) - f(n) = sqrt((n+1)^2 + 1) - sqrt(n^2 + 1)

Let's multiply the numerator and denominator by the conjugate and simplify:

f(n+1) - f(n) = ((n+1)^2 + 1) - (n^2 + 1))/ [sqrt((n+1)^2 + 1) + sqrt(n^2 + 1)]f(n+1) - f(n) = (n^2 + 2n + 2 - n^2 - 1)/ [sqrt((n+1)^2 + 1) + sqrt(n^2 + 1)]f(n+1) - f(n) = (2n+1)/ [sqrt((n+1)^2 + 1) + sqrt(n^2 + 1)]

Thus, we can see that as n increases, f(n+1) - f(n) approaches to 0. Therefore, the limit of f(x) as x approaches infinity is √(x^2 + 1).

Therefore, the value of the given function `limit as x approaches infinity is the square root of (x^2+1)` is √(x^2 + 1).

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First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

It would take Arnob approximately 4.12 minutes to catch up to Kathleen.

We need to find out the time it would take Arnob to catch up to Kathleen, given their speeds. Since we know their speeds, we can set up a proportion with the distance they are apart and their speeds. The proportion would be as follows:Distance Arnob travels = Distance Kathleen travels - Distance Arnob travels Arnob's speed = Kathleen's speed. Distance Arnob travels = Distance Kathleen travels - Distance Arnob travels Arnob's speed = Kathleen's speedTherefore, using the distance formula:Distance = Rate x TimeD = RTWhere:D is the distanceR is the rateT is the timeIn this scenario, Arnob and Kathleen are moving towards each other, meaning the distance between them is getting shorter. We can add their speeds together to find the rate at which the distance between them is getting shorter. Rate = Arnob's speed + Kathleen's speed = 9 + 8 = 17Since we know the rate at which the distance between them is getting shorter, we can use the formula to find the time it would take for Arnob to catch up to Kathleen. Let's call this time "t".D = RTDistance = Distance between Arnob and Kathleen = 75 - 5 = 70R = Rate at which the distance is getting shorter = 17T = Time it would take for Arnob to catch up to KathleenTherefore,70 = 17tSolving for t:t = 70/17 ≈ 4.12 minutes

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To find the probability of the event "X is on KM," we need to determine the ratio of the favorable outcomes to the total number of possible outcomes.

Since point X is chosen at random on JM, we can consider the length of JM as our sample space.

Let's assume the length of JM is represented by L. The length of KM can be represented by a variable K.

The favorable outcomes in this case would be when point X falls on the segment KM.

To find the probability, we need to compare the length of KM to the length of JM.

Therefore, P(X is on KM) = K / L.

Answer:

B hope this helps

Step-by-step explanation:

Answer: it’s (A)

Step-by-step explanation:

Answer:

The formula for finding the area of a trapezoid is [(the top base + the bottom base)/2] * the height. Or in algebraic terms  \([(b1+b2)]/2*h\).    

Step-by-step explanation:

When a thesis test is being performed for a population mean, the probability of a type II error isn't dependent on the sample mean. Option B is the right answer.

A type II error occurs when a null thesis isn't rejected despite it being incorrect. It's worth noting that the threat of making a type II error is affected by several factors, including the sample size, the true population mean, the position of significance, and the variability of the data.

As a result, the larger the sample size, the lower the threat of making a type IIerror.The true population mean also has an impact on the liability of a type II error. As the difference between the true mean and the hypothecated mean grows, the threat of a type II error decreases.

The position of significance is also pivotal in determining the threat of a type II error. As the significance position increases, the threat of a type II error decreases.

So, the correct answer is B

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Answer:

7 - 2n

Step-by-step explanation:

"the product of 2 and a number": 2n

"the difference of 7 and the product of 2 and a number": 7 - 2n

Answer:

7 - (2+3) = 2

Step-by-step explanation:

please correct me if this is wrong.

True, a pie chart should be considered when you have just one data series to plot. A pie chart is a circular chart that is divided into slices to represent numerical proportions.

Each slice of the pie chart represents a category or percentage of a whole. Pie charts are useful when you want to display relative proportions or percentages of a single data series. They are easy to understand and provide a quick visual representation of data. However, pie charts are not recommended for complex data sets or when comparing multiple data series. In such cases, a bar chart or a line graph may be a better option. It is important to choose the right type of chart based on the nature of the data and the purpose of the visualization.

True, a pie chart should be considered when you have just one data series to plot. A pie chart is a circular graphical representation of data that displays the size of items in one data series as a proportion of the total sum of the items. The individual data points are shown as slices or segments of the pie, with each segment's size representing the proportion of the whole.

Pie charts are particularly useful for visualizing percentages and proportions of a whole, and they work best when there are a limited number of categories in the data series. They are simple and easy to understand, making them a popular choice for presenting information to a broad audience.

However, pie charts may not be the best choice for every situation. If there are too many categories, the segments may become too small to easily distinguish between them. Additionally, if you need to compare multiple data series or trends over time, other chart types, such as bar or line charts, might be more appropriate.

In summary, pie charts are an effective choice for visualizing a single data series with a limited number of categories, especially when the goal is to show proportions or percentages. If these conditions are met, a pie chart can be a useful and easily understood way to display your data.

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Answer:

7.01×10^14 is the answer

Answer:

C- 2

Step-by-step explanation:

f(-2)=4x+10

= 4*(-2)+10

=-8+10

f(-2)=2

Answer:

4

Step-by-step explanation:

Two times four equals eight so g equals 4

The correct option is B. The best number of people who will arrive by car is 90.

Bus: 185+175 = 359

Car: 38+43 = 81

Total: 359+81= 440

So, the proportion of arriving by car is \(\frac{81}{440 } = \frac{81}{440 }*500 = 90\)

Regard frequency as probability

Probability is a branch of mathematics that deals with the study of random events. It is the measure of the likelihood of an event occurring, expressed as a number between 0 and 1. An event with probability 0 means it will never occur, while an event with probability 1 means it will always occur.

The calculation of probability involves analyzing the possible outcomes of an event and assigning a probability to each outcome based on its likelihood of occurring. The probability of an event is determined by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in various fields, such as statistics, finance, engineering, and science, to make predictions and informed decisions.

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Complete Question:

The Greenville Park rangers want to know the number of visitors who arrive by bus and the number who arrive by car. Park officials record the method of transportation for a random selection of park visitors over two weeks.

Methods of Transportation:

Week         Bus         Car

1                 185           38

2                174            43

if 500 people visit the park in week 3, which is the best number of people who will arrive by car.

A). 40

B). 90

C). 130

D). 200

The differential equation is dy/dt + 20y = 68 - 20t^2. The particular solution can be found by solving the equation for y.

Rearranging the equation, we have y = (68 - 20t^2) / (20). Therefore, the particular solution for this differential equation is y(t) = 3.4 - t^2.

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Answer:

y=-4-* and y= 2 x-3

Step-by-step explanation:

Answer:

y = 4^ and y = 2 x - 3

The general solution to the differential equation y' - 2y + 3e^t = 0 is: y = Ce^(2t) - e^t.  As t approaches infinity, the solution approaches infinity because the dominant term in the solution is e^(2t).

The given differential equation is:

y' - 2y + 3e^t = 0

We can first find the homogeneous solution by setting the right-hand side equal to zero:

y' - 2y = 0

This is a separable differential equation that can be solved by separating variables:

dy/y = 2dt

Integrating both sides, we get:

ln|y| = 2t + C

where C is an arbitrary constant. Solving for y, we get:

y = Ce^(2t)

This is the general solution to the homogeneous equation.

Now, we need to find a particular solution to the non-homogeneous equation. Since the non-homogeneous term is a constant times e^t, we can guess a particular solution of the form:

y_p = Ae^t

where A is a constant. Substituting this into the original equation, we get:

Ae^t - 2Ae^t + 3e^t = 0

Simplifying, we get:

A = -1

Therefore, the particular solution is:

y_p = -e^t

The general solution to the non-homogeneous equation is the sum of the homogeneous solution and the particular solution:

y = Ce^(2t) - e^t

To determine how solutions behave as t approaches infinity, we can analyze the behavior of the exponential terms. Since e^(2t) grows much faster than e^t, the dominant term as t approaches infinity is e^(2t). Therefore, the solution approaches infinity as t approaches infinity.

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Answer:

See the attached image.

Answer:

12.  & 2.5mins

Step-by-step explanation:

2 hours = 120 mins for 48 baguettes.  so 120/48 = 2.5 mins per baguette

30 mins is 1/4 of 2 hours. so 12  baguettes

Answer:

the answer is on the computer

Step-by-step explanation:

Answer: many be 5-10 feet

Answer:

1st answer choice

Step-by-step explanation:

The two ways are

Decimals are a set of numbers lying between integers on a number line. They are just another way to represent fractions in mathematics. With the help of decimals, we can write more precise values of measurable quantities like length, weight, distance, money, etc. The numbers to the left of the decimal point are the integers or whole numbers and the numbers to the right of the decimal point are decimal fractions. If we go right from ones place, the next place will be (1/10) times smaller, which will be (1/10)th or tenth place value.

Given number:

19.601

On expanding the number with respect to their place value

1*10+9*1+ 6*1/10+ 0*1/100 + 1*1/1000

and, another way is

10 + 9 + 0.6 + 0.001

i.e., 19 and 6 tenth 1 thousandth

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The fraction 1 3/20 is equivalent to 115% when expressed as a percent.

To convert the fraction 1 3/20 to a percent, we need to follow a few steps.

First, let's rewrite the mixed number as an improper fraction. We can do this by multiplying the denominator of the fractional part (20) by the whole number (1) and adding the numerator of the fractional part (3):

1 3/20 = (1 * 20 + 3)/20 = 23/20

Now, we have the fraction 23/20. To convert this fraction to a decimal, we divide the numerator (23) by the denominator (20):

23/20 ≈ 1.15

The decimal equivalent of 23/20 is approximately 1.15.

To convert the decimal to a percent, we multiply it by 100:

1.15 * 100 = 115%

Therefore, the fraction 1 3/20 is equivalent to 115% when expressed as a percent.

In summary, the process involves converting the mixed number to an improper fraction, finding the decimal equivalent of the fraction, and then multiplying the decimal by 100 to obtain the percentage. Applying this process to 1 3/20, we determined that it is equal to 115%.

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Answer:

Step-by-step explanation:

Prime numbers has only two factor 1 and the number itself

Here, 2 , 3  prime factors

36 = 2 * 2 * 3 * 3

Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees

Based on the linear angles theorem, we have the following equation which we will use to find the value of y:

3y + 11 + 10y = 180

Add like terms

13y + 11 = 180

Subtract 11 from both sides

13y + 11 - 11 = 180 - 11

13y = 169

13y/13 = 169/13

y = 13

Plug in the value of y

3y + 11 = 3(13) + 11 = 50 degrees

10y = 10(13) = 130 degrees.

Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees.

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