Classify the sequence as arithmetic or geometric and find a rule for the n'th term. 9,3,1,1/3

Answer:

The scale factor is 2/3

Step-by-step explanation:

The scale factor of 8, 10, 14 to 12, 15, 21 is 3/2.

Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.

Given that,

the numbers 8, 10, 14 is changed to 12, 15, 21.

Scale factor is the ratio of the change in the dimensions.

Scale factor will be the same for 12/8 or 15/10 or 21/14.

Scale factor = 12/8 = 3/2

Hence the scale factor is 3/2.

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Answer:

someone help

Step-by-step explanation:

The question is: how many boys are in the school

Every time the same instrument is used for a measurement, it produces consistent results, which denotes: -reliability.

The degree to which a measurement tool produces consistent, repeatable estimates of what is believed to be a true score at the core.

The same set of people receives the same instrument again. The correlation between the results on the two instruments is what defines dependability. The scores ought to be comparable if the outcomes remain constant over time. How long to wait between the two administrations is the key to test-retest reliability.

Reliability is defined as the probability that a given item will perform its intended function with no failures for a given period of time under a given set of conditions.

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Answer:

226.08 yd 3

Step-by-step explanation:

Answer:

226.08 yd 3

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In an F-test, the null hypothesis typically states that all specified coefficients are equal to zero. In this case, the null hypothesis is:

H0: β1 = 0, β2 = 0, βs = 0, and β4 = 0

To reject the null hypothesis, we need to find evidence that at least one of these restrictions is violated. This means that if we can show that any one of the coefficients (β1, β2, βs, or β4) is significantly different from zero, it would provide sufficient evidence to reject the null hypothesis.

Therefore, if any one of these restrictions is violated, meaning that its corresponding coefficient is not equal to zero, it would lead to rejecting the null hypothesis. In this case, only one violation among β1, β2, βs, or β4 is needed to reject the null hypothesis. Hence, the correct answer is:

(b) 1

It's important to note that the specific restriction that is violated can be different for each case, but as long as one restriction is violated, we have enough evidence to reject the null hypothesis in an F-test.

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Answer:

178 correct problems

Step-by-step explanation:

turn the percentage into a decimal (0.89) and multiply it by the number of questions

Answer: 178

Step-by-step explanation:

89% x 200. Change percent to decimal by moving the decimal to the left two places.

.89 x 200 = 178

If at the beginning of the year, a company estimates total overhead costs of $1,309,620. The amount of overhead should be applied to a job that uses 30 machine hours that year is: 13,140.

Overhead rate per machine hour = Total estimated overhead costs / Estimated number of machine hour

Overhead rate per machine hour = $1,309,620 / 2,990

Overhead rate per machine hour  = $438 per machine hour

Overhead applied to job = Overhead rate per machine hour x Number of machine hours used

Overhead applied to job = $438 x 30

Overhead applied to job = $13,140

Therefore, the amount of overhead is $13,140.

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If we determine if the series ∑(n=1 to ∞) n^2 - 6n / (n^3 + 3n + 1) converges or diverges, further analysis or tests, such as the comparison test or the ratio test, may be necessary.

To determine if the series ∑(n=1 to infinity) (n^2 - 6n)/(n^3 + 3n + 1) converges or diverges, we can use the limit comparison test.

First, we choose a series b_n that we know converges and has positive terms. Let's choose the series b_n = 1/n. Since b_n > 0 for all n, we can use it for the limit comparison test.

Next, we need to calculate the limit of the ratio of the two series as n approaches infinity: lim (n → ∞) [(n^2 - 6n)/(n^3 + 3n + 1)] / (1/n)

lim (n → ∞) [1/(1/n^2)]

= lim (n → ∞) n^2

= ∞

Since the harmonic series ∑(n=1 to infinity) 1/n diverges, we can conclude that the original series ∑(n=1 to infinity) (n^2 - 6n)/(n^3 + 3n + 1) also diverges by the limit comparison test.

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Answer:

Step-by-step explanation:

the product will be positive,

remeber, (-)*(-)=+

product =20

Answer:

False

Step-by-step explanation:

This statement is false. If you multiply two negative rational numbers together, say -8 and -7, you get 56. In fact, you cannot multiply any two negative rational numbers and get zero.

Answer:

the greatest common factor is 4a

Answer:

Step-by-step explanation:

The strength of a linear relationship between two variables is typically measured by the correlation coefficient (r) or the coefficient of determination (r^2). A value of r or r^2 closer to 1 indicates a stronger positive linear relationship, whereas a value closer to -1 indicates a stronger negative linear relationship. A value of r or r^2 closer to 0 indicates a weaker or no linear relationship.

Looking at the given regression equations and their correlation coefficients, the regression with the weakest linear relationship between x and y is Regression 3:

Regression 1: y = -5.8x - 6.5, r = -0.7621

Regression 2: y = 2.4x - 14.7, r = 0.809

Regression 3: y = -7.4x - 17.4, r = -0.233

Regression 4: y = -3.4x - 8.5, r = -0.6121

Regression 3 has the lowest absolute value of r (0.233), indicating the weakest or no linear relationship between x and y. Therefore, Regression 3 represents the weakest linear relationship between x and y among the given options.

Answer:

150

Step-by-step explanation:

Angle FBA is 60 and angle ABC is 90, a line is 180 degrees so 180-30 = 150

Answer:

yes the triangle are similar

Answer:

80

Step-by-step explanation:

Freddie is one meter shorter than his father

His father is 180 centimeters tall

So freddie is 80 centimetres

Freddie is mother÷2

So 80=M÷2

Mother is 190 centimeters

The number of centimeters when Freddie’s mother should be tall is considered to be 90.

Since

Freddie is half as tall as his mother.

Freddie is one metre shorter than his father.

Freddie’s father is 180 centimetres tall.

So

the Freddie is mother is

= 180 / 2

= 90

hence, The number of centimeters when Freddie’s mother should be tall is considered to be 90.

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The margin of error of the random selection is 0.29

The given parameters are:

\(n = 320\) --- the sample size

\(\sigma = 2.9\) --- the standard deviation

\(\bar x = 24\) --- the mean

\(\alpha = 90\%\) --- the confidence level.

The margin of error (E) is calculated as follows:

\(E = z \times \sqrt{\frac{\sigma^2}{n}}\)

So, we have:

\(E = z \times \sqrt{\frac{3.2^2}{320}}\)

\(E = z \times \sqrt{\frac{10.24}{320}}\)

The z-value for 90% confidence level is 1.645.

Substitute 1.645 for z

\(E = 1.645 \times \sqrt{\frac{10.24}{320}}\)

\(E = 1.645 \times \sqrt{0.032}\)

Take square roots

\(E = 1.645 \times 0.1789\)

Multiply

\(E = 0.2943\)

Approximate

\(E = 0.29\)

Hence, the margin of error is 0.29

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Answer:

umm there is no answer u have to make a diagram of the rational and irratinal or the area of numbers its not a letter u have to make a diagram

Step-by-step explanation:

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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Answer:

(7, - 1 )

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , then

(- 1, 7 ) → (7, - 1 )

A mean of a normal distribution's upper bound of a 95% confidence interval is 58.11.

For the given question,

The confidence bound's upper limit (UCB) is determined as follows:

UCB =  μ + z(α/2)×σ/√n

Now, α/2 = (1 - 0.95)/2

α/2 = 0.025

z(α/2) = 1.96  (obtain from t-distribution table for degree of freedom)

Put the values in the formula,

UCB =  μ + z(α/2)×σ/√n

UCB = 36.96 + 1.96×41.8/√15

UCB = 58.11

As a result, 58.11 is the upper bound of a 95% confidence interval for the mean of a normal distribution.

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Given:

The logarithmic equation is:

\(\log_618=x\)

To find:

The exponential equation of this logarithmic equation.

Solution:

According to the properties of logarithm:

\(\log_bm=x\Leftrightarrow m=b^x\)

We have,

\(\log_618=x\)

Here, \(b=6, m=18\). Using the above property of logarithm, we get

\(18=6^x\)

Therefore, the required exponential equation is \(18=6^x\).

Answer:

the awnser is acctully 6^x =18

Step-by-step explanation:

Answer:

-3x + 7

Step-by-step explanation:

she used the y-intercept as the slope and the slope as the y- intercept.

Answer:

its y= -3x+7

Step-by-step explanation:

she used the x intercept for the y - intercept and the y- intercept for the c-intercept

The probability P(n < 10 | n is prime) is 4/6, which simplifies to 2/3 or approximately 0.67 (rounded to the nearest hundredth).

To find the probability P(n < 10 | n is prime), we need to determine the number of prime integers less than 10 and divide it by the total number of integers from 1 to 15 that are prime.

The prime numbers less than 10 are 2, 3, 5, and 7. So, there are 4 prime numbers less than 10.

The total number of integers from 1 to 15 that are prime is 6 (2, 3, 5, 7, 11, and 13).

As a result, the chance P(n 10 | n is prime) is 4/6, which can be expressed as 2/3 or, rounded to the nearest hundredth, as around 0.67.

Thus, 0.67 is the answer.

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In order to subtract mixed numbers, you need to make sure the fractions have the same denominator, subtract the numerators, subtract the whole numbers, and then combine the results.

When you subtract mixed numbers, you need to remember to subtract both the whole numbers and the fractions separately. The first step is to make sure that the fractions have the same denominator. Once the fractions have the same denominator, you can subtract the numerators and keep the denominator the same. After that, you can subtract the whole numbers.

Step 1: Make sure the fractions have the same denominator.

Step 2: Subtract the fractions.

Now that the fractions have the same denominator, we can subtract the numerators and keep the denominator the same:

Step 3: Subtract the whole numbers.

Now we can subtract the whole numbers:

Step 4: Combine the result.

Finally, we'll combine the result of the fraction and whole number:

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Answer:

$3.45

Step-by-step explanation:

15% of 23 is 3.45

The number of ways of seating k people in a row of n chairs with at least four empty chairs between any two people and one empty chair at the end is given by (n-5)Ck * k! * (n-k-1)!.

To find the number of ways of seating k people in a row of n chairs with the given conditions, we can use a combinatorial argument.

First, we choose the positions for the k people to sit. Since there must be at least four empty chairs between any two people, we can select k positions from the (n-5) available chairs. This can be done in (n-5) choose k ways, which can be expressed as (n-5)Ck.

Next, we arrange the k people in the chosen positions. This can be done in k! ways.

Finally, we arrange the remaining empty chairs. Since there must be precisely one empty chair at the end of the row, we have (n-k-1) chairs remaining. These chairs can be arranged in (n-k-1)! ways.

Therefore, the total number of ways of seating k people in a row of n chairs with the given conditions is

(n-5)Ck * k! * (n-k-1)!

Leave this expression in terms of factorials.

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A drill-down report is a type of report that displays a greater level of detail as the user navigates through it.

A drill-down report is a type of report that allows the user to access a greater level of detail as they navigate through it. It is an interactive report that presents a summary of data initially and then allows the user to drill down to more detailed information.

The report provides a visual representation of data that can be explored at different levels of granularity, providing a deeper understanding of the underlying information. Drill-down reports are useful for decision-making because they provide insights into the root causes of issues or trends.

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The number of plants in the first row is 8, which corresponds to option "b. 8 plants".

The concept used in this problem is arithmetic sequence or arithmetic progression. An arithmetic sequence is a sequence of numbers in which each term is the previous term plus a constant. In this problem, the constant is 3, and the number of plants in each row increases by 3. By using the formula for the sum of an arithmetic series, the total number of plants in all the rows can be calculated.

Let's assume that the first row has x number of plants.

The total number of plants in all rows is 70, so we can write an equation using x to represent the number of plants in each row:

x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 70

5x + 30 = 70

5x = 40

x = 8

So, the number of plants in the first row is 8, which corresponds to option "b. 8 plants".

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The number of plants in the first row is 8, which corresponds to the option "b. 8 plants".

The concept used in this problem is an arithmetic sequence or arithmetic progression. An arithmetic sequence is a sequence of numbers in which each term is the previous term plus a constant. In this problem, the constant is 3, and the number of plants in each row increases by 3. By using the formula for the sum of an arithmetic series, the total number of plants in all the rows can be calculated.

Let's assume that the first row has x number of plants.

The total number of plants in all rows is 70, so we can write an equation using x to represent the number of plants in each row:

x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 70

5x + 30 = 70

5x = 40

x = 8

So, the number of plants in the first row is 8, which corresponds to the option "b. 8 plants".

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