Write down a rule for the sequence 810,270,90,30
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Answer:

$1.50 per song

Step-by-step explanation:

You divide $22.50 by 15 to get the cost per song.

Answer:

What are you tring to figure out? How many gigabytes?

Step-by-step explanation:

Answer:

Step-by-step explanation:

becasue  you can square a negative number

The R-squared value indicates the proportion of variability in the travel time that can be explained by the distance traveled. The coefficient estimates provide insights into the direction and strength of the relationship.

To draw a conclusion from the fitted regression, it is important to consider the coefficient of determination (R-squared) and the coefficient estimates.

A local trucking company fitted a regression model to analyze the relationship between travel time (in days) and distance traveled (in miles) for its shipments.

The regression model allows the company to estimate the travel time based on the distance traveled.

In the context of regression analysis, the term "fitted regression" refers to the statistical model that has been created using the available data.

It represents the relationship between the dependent variable (travel time) and the independent variable (distance traveled).

Please note that without the specific coefficient values and more information about the data and analysis, it is not possible to provide a more detailed conclusion.

However, with the fitted regression, the trucking company can make predictions or estimates of travel time based on the distance traveled.

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Answer:

3/5

Step-by-step explanation:

0.6 = 6/10 = 3/5

Answer:

390 degrees

Step-by-step explanation:

The conversion factor is 180/pi

13 pi /6 * 180/pi

13/6 *180

390

Thus, the p-value is greater than 0.10 (the significance level α), indicating that there is not enough evidence to support the alternative hypothesis.

To find the p-value, we need to calculate the test statistic and compare it to the critical value.

Given:

Sample 1: sample size (n1) = 22, variance (\(s_{1}^2\))

= 8, mean (x1(bar))

= 51

Sample 2: sample size (n2) = 20, variance (\(s_{2}^2)\)

= 11, mean (x2(bar))

= 50.5

To calculate the test statistic, we can use the formula for the difference in means:

t = (x1(bar) - x2(bar)) / √((\(s_{1}^2\)/n1) + (\(s_{2}^2\)/n2))

Substituting the given values:

t = (51 - 50.5) / √((8/22) + (11/20))

  = 0.5 / √(0.3636 + 0.55)

  = 0.5 / √0.9136

  ≈ 0.53

Now we need to find the degrees of freedom. For independent samples with equal variance, the degrees of freedom (df) can be calculated using the formula:

df = n1 + n2 - 2

Substituting the given values:

df = 22 + 20 - 2

  = 40

With α = 0.10, the critical value for a one-tailed test (upper tail) with 40 degrees of freedom is 1.684.

Now, we can determine the p-value. Since the alternative hypothesis is μ1 - μ2 > 0, we are conducting an upper-tailed test.

The p-value is the probability of obtaining a test statistic as extreme as the one observed (t = 0.53) under the null hypothesis.

By comparing the test statistic to the critical value, we can determine the conclusion:

Since the test statistic (0.53) is less than the critical value (1.684), we fail to reject the null hypothesis.

Therefore, the conclusion is: "We don't have enough evidence to conclude that the difference in means is > 0; therefore, H0 is not rejected."

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Answer:

\(\frac{x-1}{x+2}\)

Step-by-step explanation:

simplifying the equation:  \(x^2-3x+2/x^2-1\)

1) Rewrite the equation so it's easier to understand:

\(\frac{x^2-3x+2}{x^2-4}\)

2) factor \(x^2-3x+2\):

\(x^2-3x+2\) \(=> (x-1)(x-2)\)

3) factor \(x^2-4\):

\(x^2-4 => (x+2)(x-2)\)

Meaning: \(\frac{(x-1)(x-2)}{(x+2)(x-2)}\)

4) Cancel the common factor: \((x-2)\) from the numerator and the denominator:

\(=\frac{x-1}{x+2}\)

Answer:

Multiply both sides of the equation by n/-2.25

Step-by-step explanation:

We want to multiply both sides by -2.25 so we can make n 1.

If, we invested $2,800 at a 6% annual interest rate. We will have $2972.70 in 1 year and $3063 in 1.5 year of time.

In the fields of finance and economics, interest is defined as the payment of a sum over and above the principal amount (the amount borrowed) at a set rate by a borrower or deposit-taking financial institution to a lender or depositor. It is different from a fee that the borrower may pay to the lender or another entity. It also differs from a dividend, which is money given to shareholders (owners) by a company from its profit or reserve, but not at a set rate predetermined beforehand, but rather on a pro rata basis as a portion of the rewards received by risk-taking businesspeople when revenue is earned that exceeds all costs.

Calculations:

The Future value= fv= Pv x \((1+r/m)^{mt}\)

R= Rate per period

mt= years x compounding

The Future value in 1 year= 2800x\((1+0.06/12)^{1x12}\)

                                   = $2972.70

The Future value in 1.5 years=2800x\((1+0.06/12)^{1.5x12}\)

                                       = $3063.00

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Answer:

-8n + 26

Step-by-step explanation:

Distribute the 5 and 2:

5(-2n + 4) + 2(n + 3)

-10n + 20 + 2n + 6

Add together the variable terms and numbers:

-8n + 26 is the final expression

Answer:

  506

Step-by-step explanation:

The count is multiplying by 1.5 each day, so after 4 days, it will have multiplied by 1.5^4 = 5.0625

Then the count is predicted to be ...

  100·5.0625 ≈ 506.25

The count will be 506 after 4 days.

Answer:

100=(1+0.50)^4 = 506

Step-by-step explanation:

The equivalent annual devaluation rate of this stock (rounded to the nearest tenth of a percent) is 27.6% and its worth (rounded to the nearest ten dollars) after 1 year is $138,000.

Devaluation rate:

Basically, the devaluation rate refers the deliberate downward adjustment of the value of a country's money relative to another currency, group of currencies, or currency standard.

Given,

In a recent stock market downturn, the value of a $5,000 stock is decreasing at 2. 3% per month. This situation can be modeled by the equation A(t) = 5,000(0. 977)^12t, where A(t) is the final amount and t is time in years.

Here we need to find the equivalent annual devaluation rate of this stock (rounded to the nearest tenth of a percent) and what is it worth (rounded to the nearest ten dollars) after 1 year.

While we looking into the given question,

We have identified that, the decreasing percent per month is 2.3%.

So, for 1 year, the decreasing percent is,

=> 12 x 2.3 = 27.6%

Similarly, devaluation rate after one is year calculated by applying the value of t as 1, in the given equation, then we get,

=> A(1) = 5,000(0.977)¹²ˣ¹

=> A(1) = 5,000(0.977)¹²

=> A(1) = 5000 x 276

=> A(1) = 138000

Therefore, the annual devaluation rate is 138,000.

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Answer:

4/5

Step-by-step explanation:

Judging by the graph, it looks like there are 2 points at (0, 2) and (5, 6).

We can find the slope by 'subtracting' these points:

(6-2)/(5-0) =4/5

If you ever need to remember this trick, you can remember "rise over run".

I hope this solution helped you. Happy mathing!

The correct statement regarding whether female and blue are independent events is given as follows:

D) Yes, P(Female ∩ Blue) = P(Female) ⋅ P(Blue)

Two events, A and B are independent, if, and only if, the probability of both events is equals to the multiplication of the probabilities of each event.

\(P(A \cap B) = P(A)P(B)\)

From the table, the probabilities are given as follows:

The multiplication of these probabilities is of:

0.7 x 0.7 = 0.49 = P(Female and Blue).

Hence the events are independent.

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The hypergeometric probability function is based on the counting rule for combinations.

This rule states that if you have two sets of items, with one set containing n1 items and the other containing n2 items, the number of possible combination of r items that can be taken from the two sets is equal to n1+n2 choose n1. This means that you have to select n1 items from the first set, then n2 items from the second set. This function is used in probability calculations to determine the probability of selecting a certain number of items from one set, given a certain number of items from the other set. It is also used to calculate the probability of a certain event occurring when items are randomly selected from two sets.

The hypergeometric probability function can be used to calculate the probability of drawing a certain number of items from a given set. It can also be used to calculate the probability of a certain event occurring. For example, if you are playing a game where you draw 5 balls out of a bag of 20, you can use the hypergeometric probability function to calculate the probability of drawing a certain number of balls from the bag.

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A statistical technique that would allow a researcher to cluster such traits as being talkative, social, and adventurous with extroversion is called factor analysis.

Statistical techniques are methods and procedures used in the collection, analysis, interpretation, and presentation of data. These techniques involve the use of mathematical and statistical models to draw meaningful insights and conclusions from data.

Some common statistical techniques include:

Descriptive statistics: These techniques are used to summarize and describe the key features of a dataset, such as central tendency, variability, and distribution.

Inferential statistics: These techniques are used to make inferences about a larger population based on a sample of data. This involves using probability theory to estimate population parameters and test hypotheses.

Regression analysis: This technique is used to model the relationship between one or more independent variables and a dependent variable.

Hypothesis testing: This technique is used to test the validity of a hypothesis or claim about a population using sample data.

Time series analysis: This technique is used to analyze data that varies over time, such as stock prices or weather patterns.

Cluster analysis: This technique is used to group similar observations together based on their characteristics.

Data mining: This technique involves the use of automated methods to discover patterns and relationships in large datasets.

Statistical techniques are widely used in many fields, including business, economics, social sciences, medicine, and engineering. They are used to make informed decisions, identify trends and patterns, and to understand complex systems.

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9514 1404 393

Answer:

  (x, y, z) = (x, x+2, 3x+1)

Step-by-step explanation:

We can add twice the second equation to the first to get ...

  [eq4] -3x +0y +z = 1

Adding the first and second equations gives ...

  [eq5] -x +y +0z = 2

Solving [eq4] for z gives ...

  z = 3x +1

Solving [eq5] for y gives ...

  y = x +2

Then the solution triple is (x, y, z) = (x, x+2, 3x+1).

We will determine how to evaluate a function with respect to an input value.

A function is defined as a mathematical relationship between the input and output. Where the function gives the output but depends on the input value. The relationship of a function is defined in terms of the input variable as follows:

The above function g ( n ) depends on the input variable ( n ). The relationship is mathematically expressed in terms of the input variable ( n ).

We are to evaluate the above function g ( n ) for the input value of n = -3. We will simply substitute the value of ( n )-input variable in the expressed relationship as follows:

The output value corresponding to the input of the function g ( -3 ) is :

If rxy = 0.83, we can conclude that x and y have a relatively strong positive linear relationship or correlation.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, in this case, x and y. The value of r ranges between -1 and 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other variable tends to increase as well.

In this case, with rxy = 0.83, the correlation coefficient is close to 1, suggesting a strong positive linear relationship. This means that when x increases, y also tends to increase, and vice versa. The closer the value of r is to 1, the stronger the linear relationship between x and y.

It is important to note that correlation does not imply causation. While a high correlation coefficient indicates a strong linear relationship, it does not provide information about the underlying cause or direction of the relationship between the variables. Other factors and variables may influence the relationship, and further analysis may be required to understand the nature of the relationship between x and y.

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To prove angle abd and angle cbd are congruent using a proof by contradiction, the assumption statement that starts the proof is Angle abd and angle cbd are not congruent.

Proof by contradiction is a technique used in logic and mathematics to verify the truth or validity of a claim by demonstrating how presuming the proposition to be incorrect results in a contradiction.

A proof by contradiction first starts with the negation, or opposite of the hypothesis.

In context of the problem, the proof by contradiction will start by the opposite . Since we are to prove that angle abd and angle cbd are congruent, the opposite is Angle abd and angle cbd are not congruent.

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Answer:

90%

Step-by-step explanation:

Answer:

(50/12) + (2x) = L

Step-by-step explanation:

Let's assume the length of the wall is represented by "L" feet. Since we're given that the distance between the pictures and the distances from each picture to the end of the wall are the same, we can represent that distance as "x" feet.

To form the equation, we can consider the total length of the wall and the space occupied by the two pictures and the gaps between them.

The total length of the wall is "L" feet, and each picture is 25 inches across, which is equivalent to (25/12) feet. So, the combined width of the two pictures is (2 * 25/12) feet.

We have two gaps, one between the first picture and the end of the wall, and another between the second picture and the other end of the wall. Each gap has a length of "x" feet.

To set up the equation, we can add up the widths of the pictures and the gaps, and it should equal the total length of the wall:

(2 * 25/12) + (2 * x) = L

Step-by-step explanation:

The answer is (50/12)+(2x)=L

Answer:

Step-by-step explanation:

Tell him to not forget jill.

To find the total daily cost of producing x golf clubs, we use the linear equation y = 150x + 6297. The slope represents the additional cost per club, which is $150, and the y-intercept represents the fixed cost of $6297.

The given problem is to find the total daily cost of producing x golf clubs. To answer this problem, we have to use the formula for linear equations: y = mx + b where y is the dependent variable, m is the slope, x is the independent variable, and b is the y-intercept

(a) We can use the two given data points: (80, 7647) and (100, 9147) to find the slope(m) and y-intercept(b). Let's first find the slope(m) using the formula:m = (y2 - y1) / (x2 - x1), where x1 = 80, y1 = 7647, x2 = 100, y2 = 9147Substitute the given values:m = (9147 - 7647) / (100 - 80) = 150

b) To graph the total daily cost for 0 ≤ x ≤ 200, we have to find the total cost for different values of x. We can use the linear equation to do that, y = 150x + b where m = 150 and b = 6297. We can now substitute different values of x in this equation to get the total cost. For example, when x = 80,y = 150(80) + 6297 = 12497. Similarly, when x = 100,y = 150(100) + 6297 = 14997. We can use these two points to plot the graph for the given range of x.

(c) The slope(m) represents the rate of change of the dependent variable per unit change in the independent variable. In this case, it represents the additional cost of producing one extra golf club.  The y-intercept(b) represents the fixed cost involved in producing golf clubs. In this case, it represents the cost involved in producing 0 golf clubs. Thus, the slope of this cost equation is 150, and the y-intercept is 6297.

So, for each golf club manufactured, the cost would increase by $150, and the fixed cost involved in producing golf clubs would be $6297.

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Answer:

See below.

Step-by-step explanation:

(A)

The cost per golf club is the slope of the linear relation.

m = (9147 - 7647)/(100 - 80) = 1500/20 = 75

It costs 75x to produce x clubs.

(B)

Create a graph by plotting the points (80, 7647) and (100, 9147).

Use a domain of 0 to 200.

(C)

y = mx + b

7647 = 75(80) + b

b = 1647

The equation of the linear relation is

y = 75x + 1647

The slope, 75, is the cost of producing each additional club once the production is in place.

The y-intercept, $1647, is the initial cost.

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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Answer:

53

Step-by-step explanation:

Neither student is correct and Venus is closer to the correct answer.

What is the proper fraction?

A proper fraction is a fraction where the numerator is smaller than the denominator. In other words, it represents a value that is less than one. Proper fractions are usually expressed in the form of a/b, where a is the numerator and b is the denominator.

Neither student is correct. The fraction 7/8 is a proper fraction, which means that it represents a value that is less than 1. It cannot be equivalent to a percentage that is greater than 100.

To convert a fraction to a percentage, we multiply the fraction by 100. So, to find the equivalent percentage for 7/8, we can calculate:

7/8 x 100 = 87.5%

Therefore, Venus is closer to the correct answer with her estimate of about 88%. Keyshawn may have made the mistake of multiplying 7/8 by 100 and getting 114% instead of dividing 7 by 8 to get the decimal equivalent of 0.875, and then multiplying by 100 to get the percentage equivalent of 87.5%.

Hence, neither student is correct and Venus is closer to the correct answer.

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\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)

➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]

➝ -4 × (-2) [2 × (-6) + 3 × (4) ]

➝ -4 × (-2) [2 × (-6) + 12 ]

➝ -4 × (-2) [(-12) + 12 ]

➝ -4 × (-2) [0]

➝ -4 × 0

➝ 0

Answer:

-4*-2

Step-by-step explanation:

the multiple of both side is 4*2*,26+*32*--=6 44

If function g(x)= \(3(4)^{x}\), then the value of g(2) is 48

The function g(x) = \(3(4)^{x}\)

Function is the expression the defines the relationship between between a set of inputs having one output each. The set of all possible input of the function is called domain and set of all possible output of the function is called range

Here the function is  g(x)= \(3(4)^{x}\)

The values of x = 2

Substitute the value of x in the function

g(x)= \(3(4)^{2}\)

First find the value of \(4^{2}\)

g(x)= 3×16

Multiply it

g(x)= 3×16

g(x)=48

The value of g(2) is 48

Hence, If function g(x)= \(3(4)^{x}\), then the value of g(2) is 48

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