how is [tex]\sqrt{64}[/tex] simplified to [tex]\sqrt[8]{2}[/tex]

*please use simple terms as I am a beginner, thank you

Answers

Answer 1

[tex]\sqrt{64}[/tex] in terms of [tex]\sqrt[8]{2}[/tex] can be expressed as  [tex](\sqrt[8]{2})^{24}[/tex].

What does "root" means in mathematics?

A root is a value in mathematics that, when multiplied by itself a particular number of times, generates a given value.The most commonly used roots are the square root (√), cube root (∛), and nth root (√n), where "n" represents a positive integer. For example, the cube root of 1331 is 11, because 11*11*11=1331.

Roots are important in a variety of mathematical operations, such as solving equations, simplifying expressions, and determining the sides of geometric forms like squares, cubes, and rectangles.

In the given problem,

[tex]\sqrt{64} =\sqrt{2*2*2*2*2*2} =\sqrt{2^{6} } =2^{\frac{6}{2} }=2^3[/tex]      (∵ [tex]\sqrt{a} =a^{\frac{1}{2} }[/tex] and [tex](a^m)^n = a^{mn}[/tex] )

Now, [tex]\sqrt[8]{2} =(2)^\frac{1}{8}[/tex]

Also,  [tex]2=2^\frac{8}{8}[/tex]

∴ [tex]\sqrt{64} =2^3=(2^\frac{8}{8} )^3 = (2^\frac{1}{8} )^{8*3} =(2^\frac{1}{8} )^{24}[/tex]

Hence, [tex]\sqrt{64} =(\sqrt[8]{2})^{24}[/tex]

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Related Questions

Which expression is equivalent to −3(2x − 8) + 4x? A −2x− 8 B −2x+ 24 C −10x - 8 D −10x + 24

Answers

Therefore, the expression [tex]-3(2x - 8) + 4x[/tex] is equivalent to option B, which is. [tex]-2x+24[/tex].

Expression

To simplify an expression, you typically want to combine like terms and perform any necessary operations in the correct order. Here are the steps you can follow:

Identify any like terms in the expression. Like terms are terms that have the same variables raised to the same powers.

Combine the coefficients of like terms. If there are no like terms, leave the expression as is.

Simplify any operations in the expression, such as multiplication, division, addition, or subtraction, according to the order of operations.

Check if the expression can be simplified further. If it can, repeat steps 1-3 until the expression cannot be simplified further.

Here's an example of how to simplify the expression. [tex]3x + 2x^2 - 5x - x^2[/tex]:

Identify like terms: 3x and -5x are like terms, as are. [tex]2x^2[/tex] and [tex]-x^2[/tex].

Combine the coefficients of like terms: [tex]3x - 5x = -2x[/tex], and [tex]2x^2 - x^2[/tex]= [tex]x^2[/tex]. So, the expression becomes:

[tex]-2x + x^2[/tex]

To simplify the expression [tex]-3(2x - 8) + 4x[/tex], we can start by using the distributive property to get:

[tex]-3(2x - 8) + 4x = -6x + 24 + 4x[/tex]

Next, we can combine the like terms −6x and 4x to get:

[tex]-6x + 4x + 24 = -2x + 24[/tex]

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KKIC
8. The area of a circle can be found using the formula A = (pi)r^2. Find the area of the circle with a radius of 3xy^3.

Answers

The area of circle is with radius 3xy³ is 9πx²y⁶.

What is area?

Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula, A = πr2.

Define radius of a circle?

Radius of a circle is the distance from the center of the circle to any point on it's circumference. It is usually denoted by 'R' or 'r'.This quantity has importance in almost all circle-related formulas. The area and circumference of a circle are also measured in terms of radius. Circumference of circle = 2π (Radius)

area of circle=πr²

=π×(3xy³)²

=9πx²y⁶

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what other patterns can you discover in the subway ridership dataset using calculations with multiple operators?

Answers

Subway ridership data can reveal useful patterns through calculations with multiple operators, informing decisions about infrastructure and scheduling to better serve riders' needs.

Why Subway ridership data reveal useful patterns through calculations?

The subway ridership dataset can reveal a wealth of information through calculations with multiple operators. One such calculation is the average increase or decrease in ridership during specific time intervals. By comparing ridership during peak and off-peak hours or weekdays versus weekends, it is possible to determine when the subway system is busiest and when it is underutilized.

Another useful calculation is the average percentage change in ridership between different stations or subway lines. This can help identify the most popular stations or lines and can inform decisions about where to allocate resources and infrastructure improvements.

Additionally, it is possible to explore the correlation between ridership and other factors such as weather, events, or holidays. By analyzing how ridership fluctuates in response to external factors, transportation planners can adjust schedules and routes to better serve the needs of riders.

Calculations with multiple operators can also reveal patterns in ridership based on time of year or day of the week. By analyzing the average change in ridership on different days or months, transportation planners can make informed decisions about scheduling and staffing.

Finally, regression analysis can be used to identify the overall trend in ridership over time. By examining long-term ridership trends, transportation planners can identify areas for improvement and plan for future infrastructure projects to better meet the needs of subway riders.

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for a math assignment, michelle rolls a set of three standard dice at the same time and notes the results of each trial. what is the total number of outcomes for each trial?

Answers

There are 216 possible outcomes for each trial of rolling three standard dice.

In probability theory, an outcome is defined as the result of a single experiment or trial. The total number of outcomes in a trial can be determined by the multiplication principle, which states that if there are m ways to do one thing, and n ways to do another, then there are m x n ways to do both.

In this case, Michelle is rolling three standard dice simultaneously, which means that there are six possible outcomes for each die. Therefore, the total number of outcomes for a single trial is calculated by multiplying the number of outcomes for each die. Using the multiplication principle, we get:

Number of outcomes for each die = 6

Total number of outcomes for a single trial = 6 x 6 x 6 = 216

It is important to note that not all outcomes are equally likely, and the probability of getting a specific outcome can be calculated by dividing the number of favorable outcomes by the total number of outcomes.

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A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth . Using this equation, find the projected test grade, to the nearest integer, for a student with a homework grade of 45.

Answers

The sampling distribution in this case is positively skewed. This is due to the fact that the mean is greater than the median, and the data is spread out further to the right than to the left, resulting in a long right tail on the histogram.

What is data?

Data is information that has been collected, organized, and presented in a meaningful way. It can include facts, figures, observations, and other information, such as survey responses, images, and videos. Data is used to inform decision-making, inform research and analysis, and generate insights. Data can be qualitative or quantitative, and it is often gathered from multiple sources. Data can be collected through surveys, experiments, observational studies, or other methods. When combined with analytical tools, data can be used to identify patterns and trends, generate insights, and develop strategies.

The best description of the shape of the sampling distribution in this case would be positively skewed. Positively skewed distributions occur when the mean is greater than the median, and the data is spread out further to the right than to the left. This results in a long tail on the right side of the histogram that skews the data in a positive direction. To determine if this is the case, we can calculate the mean and median of the data.

To calculate the mean, we will use the formula for the population mean: $$\mu = \frac {\sum_{i=1}^n x_i} n$$

where $\mu$ is the population mean, $\sum_{i=1}^n$ represents the sum of all the data points, and $n$ is the sample size.

For the median, we can use the formula for the population median: $$Median = \frac{n+1}{2}th \ \ term$$

where $n$ is the sample size.

In this case, the sample size is 36, so the median would be the 18.5th term.

Now that we have the formulas, we can calculate the mean and median of the data.

The mean of the data is $46,408.89$.

The median of the data is $25,000.

Since the mean is greater than the median, it indicates that the data is positively skewed. This is further confirmed by examining the histogram of the data, which shows a long right tail on the right side of the histogram.

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find the radius of circle R​

Answers

Thus, the radius of the circle for the given measure of central angle and arc length is found as the 8.58 cm.

Explain about the central angle theorem:

The central angle is the angle formed by the intersection of two radii at the centre of a circle. Remember that a vertex is where two lines join to form an angle. The centre of a circle is always the vertex of either a central angle.

According to the Central Angle Theorem, the central angle occupied by two points on a circle will always equal twice the inscribed angle occupied by those same two points.

Given :

central angle Ф = 260

arc length LM = 38.95 cm

Thus, using the central angle theorem:

arc length = Ф/360° (2πr)

π = 3.14  and r is the radius

arc length LM = 260/360° (2πr)

38.95 = 13/18 *(2*3.14*r)

r = (38.95*18) / (13*2*3.14)

r = 8.58 cm

Thus, the radius of the circle for the given measure of central angle and arc length is found as the 8.58 cm.

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Which graph shows the solution to this system of linear inequalities?

Answers

Answer: A. Graph D

Step-by-step explanation: Graph D shows the solution to the system of linear inequalities because it includes all the points that satisfy both inequalities. The shaded region in graph D is where the two shaded regions from the other graphs overlap, which means that it is the only region that satisfies both inequalities simultaneously.

Use technology to find the solution to the system:
{6x - 2y = 12
{4x + 4y = -24

Answers

To solve this system of equations using technology, we can use matrix methods. First, we'll put the coefficients of the variables into a matrix, and then we'll put the constants into another matrix.

Coefficient matrix:
[[6, -2],
[4, 4]]

Constant matrix:
[[12],
[-24]]

Then, we find the inverse of the coefficient matrix and multiply it by the constant matrix. The resulting matrix will give us the values of x and y.

Inverse of coefficient matrix:
[ [1/8, 1/8],
[ -1/16, 3/16] ]

Solution matrix:
[[3],
[-9]]

Therefore, x = 3 and y = -9.

– 48d^2–132d–80÷(4d+7)

Answers

Answer: -12d+(4/(4d+7))

Step-by-step explanation:

To simplify the expression –48d^2 – 132d – 80 ÷ (4d + 7), we can use long division:

           -12d

      ____________

   4d + 7 | -48d^2 - 132d - 80

            48d^2 + 84d

            ___________

                       - 48d - 80

                       + 48d + 84

                       ___________

                                4

Therefore, the simplified expression is -12d + (4/(4d + 7))

The lacrosse team sold s team booster sweatshirts, and 19 of them were adult sizes. Write an expression that shows how many sweatshirts were not adult sizes.

Answers

The expression for the number of sweatshirts that were not adult sizes would be: s - 19.

What is an expression?

In mathematics, an expression is a combination of numbers, variables, operators, and/or functions, without an equals sign. It can be a single term, or a combination of terms separated by operators, such as addition, subtraction, multiplication, division, and exponentiation

Given : total number of team booster sweatshirts = s

            No. of team booster sweatshirts of adult size = 19

So,

No. of team booster sweatshirts that were not adult sizes :

= total number of team booster sweatshirts -   No. of team booster sweatshirts of adult size

= s - 19.

Hence, s - 19 expression shows how many sweatshirts were not adult sizes.

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if cov(z,x) ≠ 0, then z and x are correlated. a. true b. false

Answers

True. If the covariance between two variables (z and x in this case) is not equal to zero, then it indicates that there is some degree of linear relationship or association between the two variables. Therefore, they are said to be correlated.

A measure of the link between two random variables and how much they fluctuate together is called covariance. Alternately, we may say that it establishes the relationship between the two variables' changes, i.e., that a change in one variable is equivalent to a change in the other. A function has the ability to preserve its shape even after a linear transformation of the input variables. The units of covariance are determined by multiplying the units of the two variables.

True. If the covariance between two variables (z and x in this case) is not equal to zero, then it indicates that there is some degree of linear relationship or association between the two variables. Therefore, they are said to be correlated.

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If cov(z, x) ≠ 0, then z and x are correlated. therefore, the given statement is true. Your answer is: a. True

Covariance (cov) is a measure of how two variables change together.

If the covariance is not equal to 0, it means that there is some correlation between the two variables, z and x.

The correlation can be either positive or negative depending on the direction of the relationship between z and x.

If the covariance between two variables, z and x, is not equal to zero, then it means that there is a linear relationship

between the two variables.

In other words, when one variable increases or decreases, the other variable tends to increase or decrease as well, indicating a correlation between them.

Therefore, if the covariance between z and x is not zero, it implies that z and x are correlated.

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The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.

A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 12 above 80 to 89, at 6 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Desert Landing.

When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?

Median, because Desert Landing is symmetric
Mean, because Sunny Town is skewed
Mean, because Desert Landing is symmetric
Median, because Sunny Town is skewed

Answers

Median, because Sunny Town is skewed.

What is descriptive statistics?

Descriptive statistics is a branch of statistics that deals with the collection, organization, analysis, and interpretation of numerical data. It involves using various statistical measures to describe and summarize the characteristics of a set of data. Descriptive statistics helps to make sense of large amounts of data by presenting it in a more meaningful and understandable way. Commonly used measures of central tendency in descriptive statistics include mean, median, and mode, while measures of dispersion include range, variance, and standard deviation. Descriptive statistics is widely used in various fields, such as business, medicine, economics, psychology, and social sciences, to name a few.

Median, because Sunny Town is skewed.

The skewness of the histogram for Sunny Town indicates that the data is not symmetrically distributed, and therefore the median would be a better measure of central tendency to compare the locations. The mean can be affected by extreme values or outliers, which might be present in the skewed distribution of Sunny Town, making it less reliable in this case.

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SOMEONE HELP ME PLEASE ILL GIVE BRAINLIEST!

Answers

Answer:

possible answer 30 percent this is correct answer

Step-by-step explanation:

hope this will help you Thanks

Match each expression with its equivalent.

Answers

Answer:

1/x^2 = x^-2

x^4/x^3 = x

(x^2)^2 = x^4

x^3 * x^3 * x^3 = x^9

Step-by-step explanation:

A bag contains 7 red marbles, 8 blue marbles and 3 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be blue?

Answers

Answer:

6.862745098%

Step-by-step explanation:

8/18x7/17x6/16=0.06862745098

0.06862745098 * 100 = 6.862745098%

true or false? the rule of thumb for estimating the time of completion is 1.5 times what you originally think it will be.

Answers

Given statement: The rule of thumb for estimating the time of completion is 1.5 times what you originally think it will be.

Given statement is True.

The reason for this rule of thumb is that tasks often take longer than initially estimated due to unforeseen challenges, dependencies, and other factors that can cause delays.

By estimating the time of completion as 1.5 times the original estimate, you are accounting for these potential delays and allowing for a more realistic timeline.

This rule of thumb is not a hard and fast rule, and there will be cases where tasks take less or more time than 1.5 times the original estimate. However, it can be a helpful guideline for project planning and resource allocation, as it helps to ensure that sufficient time and resources are allocated to complete tasks within a realistic timeframe.

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Which statement is true?
Please help

Answers

The answer is A .
Ans-6

What is the minimum of the graph described by y= (x - 2)2 - 3

Answers

Answer:

(2,-3) is the minimum

Step-by-step explanation:

y = (x-2)²-3 is a quadratic equation written in 'vertex' form:  y = (x-h)²+k where 'h' and 'k' represent the vertex

The vertex is the highest or lowest point of the curve, in this case the 'minimum' so (2,-3) is the minimum

where should he search for the dog on the second day? what is the probability that the dog is still lost at the end of the second day?

Answers

The probability that the dog is still lost at the end of the second day is 0.41

To solve this problem, we can use Bayes' theorem, which allows us to update the probability of an event based on new information.

Let A be the event that the dog is in forest A, and B be the event that the dog is in forest B. Let F be the event that the dog is found within two days.

We want to calculate P(F'), the probability that the dog is still lost at the end of the second day. We can use the law of total probability to express this as

P(F') = P(F'|A) × P(A) + P(F'|B) × P(B)

where P(F'|A) is the probability of not finding the dog within two days given that the dog is in forest A, P(F'|B) is the probability of not finding the dog within two days given that the dog is in forest B, and P(A) and P(B) are the prior probabilities of the dog being in forest A and forest B, respectively.

Using the information given in the problem, we can calculate

P(F'|A) = 1 - 0.5 = 0.5 (the probability of not finding the dog in forest A within two days is 1 - 0.5 = 0.5)

P(F'|B) = 1 - 0.8 = 0.2 (the probability of not finding the dog in forest B within two days is 1 - 0.8 = 0.2)

P(A) = 0.7 (the prior probability of the dog being in forest A)

P(B) = 0.3 (the prior probability of the dog being in forest B)

Plugging these values into the formula above, we get

P(F') = 0.5 × 0.7 + 0.2 × 0.3 = 0.41

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The given question is incomplete, the complete question is:

Oscar has lost his dog; there is a 70% probability it is in forest A and a 30% chance it is forest B. If the dog is in forest A and Oscar looks there for a day, he has a 50% change of finding the dog. If the dog is in forest B and Oscar looks there for a day, he has an 80% chance of finding the dog. what is the probability that the dog is still lost at the end of the second day?

Can someone help me out fast please!?!?!

Pamela purchased a new laptop for her schoolwork. She plans to sell it sometime in the future; however, its value depreciates monthly. The expression below shows the depreciated sales value of the laptop. What does the second term of the expression represent?
A. The number of months Pamela will wait to sell the laptop.
B. The original value of the laptop.
C. The total depreciation value of the laptop.
D. The monthly depreciation value of the laptop.

Answers

The second term of the expression represent the total depreciation value of the laptop. Therefore, the answer is C.

How to find the terms of an expression?

Pamela purchased a new laptop for her schoolwork.  She plans to sell it sometime in the future; however, its value depreciates monthly.

The expression below shows the depreciated sales value of the laptop.

856 - 17m

Therefore, the meaning of the second term in the expression can be calculated as follows:

Therefore,

856 = The amount she bought the laptop

The second term 17m is the total depreciation value of the laptop where m = number of months.

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when the underlying distribution of interval scores is violently skewed the appropriate correlational technique should be

Answers

The appropriate correlational technique when the underlying distribution of interval scores is violently skewed would be:

b. Spearman's rank correlation coefficient

When the distribution of interval scores is violently skewed, meaning that the data is not normally distributed and may have extreme values or significant departures from normality, Pearson's correlation coefficient (option a) may not be appropriate as it assumes a linear relationship between variables and normality of data.

Instead, Spearman's rank correlation coefficient (option b) is a more appropriate choice. Spearman's rank correlation coefficient is a non-parametric method that does not assume normality of data and is based on the ranks of data rather than the actual values. It measures the strength and direction of monotonic association between variables, making it suitable for data that may not meet the assumptions of Pearson's correlation coefficient.

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Complete Question

When the underlying distribution of interval scores is violently skewed, the appropriate correlational technique should be:

a. Pearson's correlation coefficient

b. Spearman's rank correlation coefficient

c. Kendall's tau

d. Point-biserial correlation coefficient

e. Phi coefficient

The appropriate correlational technique when the underlying distribution of interval scores is violently skewed depends on the type of data and the research question, and may include non-parametric tests such as Spearman's rank correlation coefficient.

When the underlying distribution of interval scores is violently skewed, the appropriate correlational technique depends on the type of data and the research question.

If the data is bivariate (two variables) and both variables are continuous, then the appropriate correlational technique would be Spearman's rank correlation coefficient, which is a non-parametric test that measures the strength and direction of the association between two variables.

Spearman's rank correlation coefficient is used when the data is not normally distributed or when the relationship between the variables is not linear.

On the other hand, if one or both of the variables are dichotomous or categorical, then a different correlational technique may be more appropriate.

For example, if one variable is dichotomous and the other is continuous, a point-biserial correlation coefficient may be used.

If both variables are categorical, a chi-square test of independence or Cramer's V may be used.

It is important to note that the appropriateness of a particular correlational technique depends on the specific characteristics of the data and research question.

Therefore, it is recommended to consult with a statistician or data analyst to determine the most appropriate technique for a particular study.

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How many cuts are necessary to cut the strip of paper until it is approximately 10 nanometers long?

the strip is 10cm in length and 1cm in width​

Answers

Answer: Assuming that we can make each cut with perfect precision and that the thickness of each cut is negligible, we can estimate the number of cuts needed to reduce the strip of paper to approximately 10 nanometers in length as follows:

Convert 10 centimeters to nanometers:

10 cm = 10,000,000,000 nanometers

Divide the length of the strip by the desired final length:

10,000,000,000 / 10 = 1,000,000,000

Therefore, approximately 1 billion cuts would be needed to reduce the strip of paper to approximately 10 nanometers in length. However, this is a theoretical estimate and in reality, it may not be possible to make cuts with such precision or to reduce the strip of paper to such a small length due to physical limitations.

Step-by-step explanation:

A rectangle on a coordinate plane has vertices A(2, 1), B(2, 14), C(8, 14), and D(8, 1). Find the perimeter of the rectangle.

__ units

Answers

The perimeter of the rectangle is 38 units.

Perimeter calculation.

We can find the distance between the vertices using the distance formula and then add them up to get the perimeter of the rectangle.

The distance between A and B is:

sqrt((2-2)^2 + (14-1)^2) = 13

The distance between B and C is:

sqrt((8-2)^2 + (14-14)^2) = 6

The distance between C and D is:

sqrt((8-8)^2 + (1-14)^2) = 13

The distance between D and A is:

sqrt((2-8)^2 + (1-1)^2) = 6

So the perimeter of the rectangle is:

13 + 6 + 13 + 6 = 38

Therefore, the perimeter of the rectangle is 38 units.

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profitability empirical rule with this dataset? why or why not. no, the measures the proportion of a movies budget recovered. a profitability less than 1 the movie did not make enough money to cover the budget, while a profitability greater than means means it made a profit. a boxplot of the profitability ratings of 136 movies that came out in 2011 is shown below. (the largest outlier is the movie 1 insidi high gross revenue.)

Answers

The empirical rule does not apply to this dataset because the empirical rule is used to describe data that is normally distributed.

The empirical rule is a statistical rule that states that for a normal distribution.

Approximately 68% of the data will fall within one standard deviation of the mean, 95% of the data will fall within two standard deviations of the mean, and 99.7% of the data will fall within three standard deviations of the mean.

The dataset is normally distributedThe dataset is normally distributed, determine if the empirical rule appliesThe empirical rule does not apply, identify an alternative method to describe the dataset

The empirical rule does not apply to this dataset because the empirical rule is used to describe data that is normally distributed.

This dataset does not appear to be normally distributed, as evidenced by the large outlier (1 Insidi High Gross Revenue).

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Clinton and Stacy want to buy a trampoline for their kids. They are considering two trampolines.

Trampoline A has a diameter of 14 feet.
Trampoline B has a diameter of 20 feet.
Approximately how much greater, in square feet and rounded to the nearest hundredth, is the area of Trampoline B than the area of Trampoline A?
Use 3.14 for π .

Answers

Answer:

Approx. 640.56 ft² greater

Step-by-step explanation:

The formula for the area of a circle is πr².

So, the area of the smaller trampoline is π×14², which is 3.14×196=615.44

The area of the larger trampoline is π×20², which is 3.14×400=1256

Subtract the larger area from the smaller

1256-615.44=640.56ft²

!!PLEASE HELPPP MEEE!!!!

Answers

The balance of the account after all the deposits is given as follows:

B = 800.25 + x + y + b.

What is the balance of the account?

The balance of an account refers to the amount of money that is currently in the account, taking into account all the transactions that have been made on the account, that is, adding all the money that has been deposited on the account.

Considering the initial balance of the account of b dollars, plus all the deposits listed on the problem, the expression is given as follows:

B = 750.25 + x + y + 100 + b

B = 800.25 + x + y + b.

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which vaule of y makes the equation true 13 - y = 17 true?
pls help

Answers

Answer:

y = -4

Step-by-step explanation:

13 - y = 17

y = 13 - 17 = -4

Answer:

y = -4

Step-by-step explanation:

Alright so you shift the y to the other side:
13 = 17 + y

Now you shift the 17 to the other side,
y = 13 - 17 = -4

Hence, y = -4

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rewrite the following without an exponent 4^-3

Answers

Step-by-step explanation:

4^-3   =   1/4^3   =   1/64

Nina uploaded a funny video on her website, which rapidly gains views over time.

The relationship between the elapsed time, ttt, in days, since Nina uploaded the video, and the total number of views, V(t)V(t)V, left parenthesis, t, right parenthesis, is modeled by the following function:

V(t)=500⋅(1. 8)t

Complete the following sentence about the daily percent change in the views of the video.

Every day,

\%%percent of views are


the total number of views of the video

Answers

Every day, the number of views of the video increases by 80% of the previous day's views.

Every day, the number of views of the video increases by a certain percentage. To find the daily percent change in the views, we can use the formula for percent change, which is given by:

percent change = ((new value - old value) / old value) * 100

In this case, the old value is the number of views at the start, which is 500, and the new value is the number of views after one day, which is given by:

V(1) = 500*(1.8)^1 = 900

Substituting these values into the formula, we get:

percent change = ((900 - 500) / 500) * 100 = 80%

In other words, for every day that passes, the number of views of the video is multiplied by a factor of 1.8.

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90 POINTS What is the slope of the line that passes through the points listed in the table? A. 2 B. 3 C. 6 D. 9

Answers

Answer: Your answer is A.) 2

Step-by-step explanation: 3x2=6

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