1. Determine if the sequence if convergent. Explain your
conclusion. 2. Determine if the sequence if convergent. Explain your
conclusion.

Answer:

27 are blue  C.

Step-by-step explanation:

Deb would have 2754 pens

Answer:

False

Step-by-step explanation:

Every linear equation in two variables can be written as y=mx+c. 

Here, for each value of x there is a unique value of y. 

Also, x & y are in direct variation.

Hence, xy  will always remain constant.

Consequently, the graph will maintain a definite slope making it a straight line. 

∴ The given statement is false. 

Answer:

False

Step-by-step explanation:

=> y = 2x + 5

=> y - 2x = 5

=> - 2x + y = 5

=> (-2x + y) = 5

=> (-2/5)x + y/5 = 1

=> x/(-5/2) + y/5 = 1, it is in form of x/a + y/b = 1, a is intercept of x.

So, here, x intercept is -5/2.

Method 2;

=> y = 2x + 5

=> y = 2(x + 5/2)

=> y = 2{x - (-5/2)}, says, x intercept is - 5/2 & not - 2/5

Answer:

AB = 4.5 units

Step-by-step explanation:

Let the length of AB be x.

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Basic Proportionality Theorem :-

PROCEDURE :-

According to Basic Proportionality Theorem ,

\(\frac{CB}{AB} = \frac{CD}{ED}\)

\(=> \frac{3}{x} = \frac{4}{6}\)

\(=> x = \frac{3 \times 6}{4} = \frac{18}{4} = 4.5\)

∴ AB = 4.5 units

Answer:

y = 3x - 2

Step-by-step explanation:

Answer:

4+1/6

Step-by-step explanation:

5* 5/6 =25/6 = 4 1/6

The number of plants Ethan has are 5.

Two or more expressions with an Equal sign is called as Equation.

Let x be the number of plants Ethan has.

Ethan uses 3.5 ounces of water for each plant, so he will use a total of 3.5p ounces of water.

If he starts with 32 ounces of water and ends up with 14.5 ounces

Total of 32 - 14.5 = 17.5 ounces of water.

As given the amount of water used is equal to the amount of water per plant times the number of plants:

3.5x = 17.5

Divide both sides by 3.5

x=5

Hence, , Ethan has 5 plants.

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The frequency polygon has the warmer interval is  44.5 and 104.5

That 4-5 is the class period with the most frequency. As a result, this interval is modal.

The system's inherent frequencies, one of which corresponds to each degree of freedom. These also go by the name of modal frequencies; 2. the damping (also known as modal damping) at each natural frequency;

The first mode is where deformation occurs at the lowest frequency. A building's first mode frequently determines the highest loads or how the structure will  interact with the rest of the system around it when vibrating.

Starting,  will plot the class grades, such as 54.5, 64.5, 74.5, and so on up to 94.5. Be aware that we will also draw the start and finish points of the polygon—that is, 44.5 and 104.5—as well as the marks from the prior and subsequent classes.

That 4-5 is the class period with the most frequency. As a result, this interval is modal.

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Answer:

2 point something times

Answer:

2 times

I hope this helps!

Understanding a set’s nature or properties is made easier by its closure property

The set is closed if it has the closure property. This means that any operation performed on an element within a set will provide a result that belongs to that element’s set.

Why Closure Property is important?

Understanding a set’s nature or properties is made easier by its closure property. Mathematical applications of closure are numerous. Any operation that adheres to this condition is said to be “closed” or to have “fulfilled the operation’s closure property.”

Example – The set of even number is closed under subtraction

                   Even – Even = Even

                   6 – 4 = 2

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Answer:

Exact answer is 0.00076232

Step-by-step explanation:

i can give give u a website that does this, if u want

Answer:

B because when at B angels are the same qnd A and c are also same

The answer choice which represents a table which represents a linear and proportional relationship is; Choice B; whose y-intercept is 0.

With respect to relationships, two variables are said to be proportional if the y-intercept of the relation between them is 0.

Hence, y = kx represents a proportional relationship where k is the constant of proportionality.

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Answer:

I'm pretty sure the answer would be B

Answer:

Area of the figure = 200 cm²

Step-by-step explanation:

Area of rectangle A = Length × Width

                               = 5×9

                               = 45 cm²

Area of rectangle B = 5 × 11

                               = 55 cm²

Area of rectangle C = 5 × 9

                               = 45 cm²

Area of rectangle D = 5 × 7

                               = 35 cm²

Area of rectangle E = 10 × 2

                                = 20 cm²

Total area of the figure = 45 + 55 + 45 + 35 + 20

                                    = 200 cm²

The correct statement is:

C. that at least one of the events must occur.

Use the concept of probability defined as:

Le 'f' represents the number of favorable outcomes and 't' denotes the total number of outcomes then, the probability of an event is defined as f/t.

Given that,

The experiment has a set of events.

And these events are collectively exhaustive.

When an occurrence that occurs during an experiment that is collectively exhaustive:

It means that at least one of the events must occur.

It guarantees that all potential outcomes are addressed and that there won't be any gaps in the outcomes of the experiment.

Hence,

Option C is correct.

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The complete question is:

What does it mean when an experiment has a set of events that are collectively exhaustive? multiple choice questions.

A. that all of the events will occur.

B. that only one of the events can occur as a result of the experiment.

C. that at least one of the events must occur.

Answer:

The answer is A

Step-by-step explanation:

In order for it to be a function every x value has to have a different y value or every input has to have a different output.

the value of x=1/2 or 2.

What is quadratic equation?

it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.

Solve the following equation using the zero-product property.

(4x+2) (x-2) = 0

here either 4x+2 = 0 or x-2 = 0

So for 4x+2=0

x = 1/2 or

x-2=0

x=2

Hence the value of x=1/2 or 2.

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P(54 < X1 + X2 + X3 < 72) is approximately 0.8972.

-The sum of independent normal random variables is also a normal random variable. Therefore, X1 + X2 + X3 is also a normal random variable with mean

E(X1 + X2 + X3) = E(X1) + E(X2) + E(X3) = 10 + 20 + 30 = 60 and variance Var(X1 + X2 + X3) = Var(X1) + Var(X2) + Var(X3) = 12.

So, X1 + X2 + X3 ~ N(60, 12).

-To find P(54 < X1 + X2 + X3 < 72), we standardize the random variable as follows:

\(Z = \frac{(X1 + X2 + X3 - 60)}{\sqrt{12} }\)

-Then, we need to find \(p(\frac{(54-60)}{\sqrt{120} } < Z < \frac{(72-60)}{\sqrt{12} }\).

Simplifying, we get P(-1.73 < Z < 1.73).

Using a standard normal table or calculator, we can find that this probability is approximately 0.8972.

Therefore, P(54 < X1 + X2 + X3 < 72) is approximately 0.8972.

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The example that involves paired data is not among the group of answer choices, as the given example involves two separate random samples, rather than pairs of measurements taken from the same individuals.

Based on your question, the example involving paired data is:
A study compared the average number of courses taken by a random sample of 100 freshmen at a university with the average number of courses taken by a separate random sample of 100 freshmen at a community college.

Paired data occurs when the observations in one dataset can be directly paired with observations in another dataset, usually because they are related in some way.

In this example, the paired data comes from comparing the average number of courses taken by freshmen at two different types of educational institutions (a university and a community college).

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Answer:

Look below :)

Step-by-step explanation:

1. coefficient

2. constant (it's referred to as a constant because the value never changes)

3. This polynomial has 4 terms. We know this by counting them. 5x^3 is one term, -x^2 is the second term, 5x is the third term, and -8 is the fourth term.

4. In descending order: 2, 1, 3, 4. The degree is the same value as the exponent. For the last term, x^2y^2, you add the values of the exponents together to get the degree.

5. -2 is the coefficient. The term with the third degree, or has 3 as the exponent, is -2x^3.

6. 1 is the coefficient. The term with the second degree is x^2. When the coefficient is 1, usually the 1 isn't written because any number multiplied by 1 equals that number (x * 1 = x)

7. 5 is the degree of the polynomial. To find the degree of a polynomial, find whichever term has the highest value for an exponent. In this case, 5 is the highest exponent.

8. 2 is the degree of this polynomial. Although none of the terms may look like they have a degree of 2, in order to find the actual degree of 4xy you have to add the values of the degree of x and y to find the actual degree. If x and y both have a degree of 1, you add those together to make 2.

9. 2\(x^{3}\) - 7\(x^{2}\) + 5x - 15. To order a polynomial from highest to lowest you have to order the terms in decreasing value of their exponents.

10. -4\(x^{3} y\) + 2xy + 5x + 7.

I hope this helps :)

In the given figure, m∠2 and m∠7 are "Alternate Exterior Angles" and they are always congruent (equal).

So we can equate them and solve for x.

So, m∠2 is

According to the straight-line angle property, the sum of m∠1 and m∠2 must be equal to 180°

Therefore, the measure of m∠1 is 147°

Answer:

true

Step-by-step explanation:

A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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The standard error of the sample proportion is approximately 0.0305 .

The standard error of a sample proportion, we can use the formula

SE = √((p × (1 - p)) / n),

where SE represents the standard error, p is the sample proportion, and n is the sample size.

In this case, the sample proportion is given as 25% or 0.25, and the sample size is 200.

Substituting these values into the formula, we get

SE = √((0.25 × (1 - 0.25)) / 200).

Calculating this expression

SE = √((0.25 × 0.75) / 200) = √(0.1875 / 200) ≈ 0.0305.

Therefore, the standard error of the sample proportion is approximately 0.0305.

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The given expression represents a polydomial of degree 4, the leading term is the one that has the variable with the greater exponent, the leading coefficient is the coefficient of the leading term, and the constant is the term without variable.

Hope this helpfully......

but if it's not,im so sorry

In goverment  , a geographic information system (gis) is used to make the best use of personnel and equipment while dealing with a tight budget and maintaining crime statistics.

A good example of geographic segmentation is a clothing retailer that offers different products based on the weather and season in which their online customers live. Customers in New York need very different clothing during the winter months than customers in Los Angeles.

Geographic Sentence Example.Geographic isolation somewhat encourages state-owned industry I've been Living in the same geographical area all her life, she is exposed to only a small part of the biosphere. They laid a solid foundation with the publication of Charles Tissot's Geographical Comparisons (1884).

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