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Answer:

6 divided by 1/4 = b

Step-by-step explanation:

Answer:

b = 6 ÷ 1/4

i did it before lol

If the mean is greater than the median, the data is likely Right-skewed.

In mathematics, the mean is the average of a set of data, which is calculated by adding all the numbers together and then dividing the result by the total number of numbers. Right-skewed distributions have long right tails and are characterized by having a mean that is greater than the median. There are two different sorts of means that may be calculated: the arithmetic mean and the geometric mean. The arithmetic mean is calculated by adding all of the numbers in a set and dividing by the total number of integers in the set.

Therefore, the answer is right-skewed. A data set that is skewed to the right is one where the tail to the right of the data clusters is longer than the tail to the left of the data clusters. This means that the data set will have a mean value that is greater than the median.

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The correct answer is h(t) = 14.25 + 0.25 * sin((π/26) * t)

To model the hours of daylight in a year using a sinusoidal equation, we can consider the average length of daylight, the amplitude of the variation, and the period of the function.

Given:

Summer solstice (longest day) is 14.5 hours

Winter solstice (longest night) is 14 hours

Let's analyze the information:

Average daylight: The average daylight throughout the year would be the average of the summer and winter solstices. It can be calculated as:

Average daylight = (14.5 + 14) / 2 = 14.25 hours

Amplitude: The difference between the average daylight and the longest day or night is the amplitude. In this case, the amplitude is half the difference between the summer and winter solstices. It can be calculated as:

Amplitude = (14.5 - 14) / 2 = 0.25 hours

Period: We are modeling the function over a year, which we'll consider as 52 weeks. Since we want to measure time in weeks (t), the period of the function is 52 weeks.

Putting all the information together, we can write the sinusoidal equation:

h(t) = Average daylight + Amplitude * sin((2π / Period) * t)

Substituting the values we calculated:

h(t) = 14.25 + 0.25 * sin((2π / 52) * t)

Simplifying further, the sinusoidal equation modeling the hours of daylight in a year is:

h(t) = 14.25 + 0.25 * sin(π/26 * t)

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Answer:

100

Step-by-step explanation:

let 's' = score on 6th test

[88(5) + s] ÷ 6 = 90

\(\frac{(440+s)}{6}\) = 90

cross-multiply to get:

440 + s = 540

s = 100

The solution to the given system of equations by graphing is approximately (x, y) = (-1, 1).

To solve the system of equations by graphing, we need to plot the lines represented by each equation on a coordinate plane and determine their point of intersection, which represents the solution.

1. Start with the first equation: -2x + 2y = 2.

  Rearrange it to solve for y: 2y = 2x + 2 => y = x + 1.

  This equation is in slope-intercept form (y = mx + b), where the slope (m) is 1, and the y-intercept (b) is 1.

2. Plot the first equation on the coordinate plane:

  Start by plotting the y-intercept at (0, 1), and then use the slope to find another point.

  Since the slope is 1 (meaning the line rises by 1 unit for every 1 unit it moves to the right), from the y-intercept, move one unit to the right and one unit up to reach the point (1, 2).

  Connect the two points to draw a straight line.

3. Move on to the second equation: -3x + 6y = 5.

  Rearrange it to solve for y: 6y = 3x + 5 => y = (1/2)x + 5/6.

  Again, this equation is in slope-intercept form, with a slope of 1/2 and a y-intercept of 5/6.

4. Plot the second equation on the same coordinate plane:

  Start by plotting the y-intercept at (0, 5/6), and then use the slope to find another point.

  Since the slope is 1/2 (the line rises by 1 unit for every 2 units it moves to the right), move two units to the right and one unit up from the y-intercept to reach the point (2, 7/6).

  Connect the two points to draw a straight line.

5. Analyze the graph:

  The lines representing the two equations intersect at a single point, which is the solution to the system. By observing the graph, the point of intersection appears to be approximately (-1, 1).

6. Verify the solution:

  To confirm the solution, substitute the x and y values into both equations.

  For (-1, 1), let's check the first equation: -2(-1) + 2(1) = 2 + 2 = 4.

  Similarly, for the second equation: -3(-1) + 6(1) = 3 + 6 = 9.

  Since these values do not satisfy either equation, it seems there was an error in the approximation made based on the graph.

Therefore, the solution to the given system of equations by graphing is approximately (x, y) = (-1, 1). However, it's important to note that this solution may not be completely accurate, and it is advisable to use other methods, such as substitution or elimination, for more precise results.

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In the given regression equation, the slope of the line is - 1.23.

Regression equation:

in statistics, regression equation means the mathematical expression of the relationship between a dependent variable and one or more independent variables that results from conducting a regression analysis.

Given,

The average August temperatures (y) and geographic latitudes (x) of 12 cities in the United States were studied. The regression equation for these data is Temperature 90.4 -1.23*(latitude)

Here we need to the slope of the line.

While we looking into the given regression equation,

Temperature = 90.4 - 1.23x(latitude)

While we compare this one with the general slope of the line equation,

y = mx + c

where m refers the slope of the line.

Then we get the value of slope as -1.23.

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The description corresponds to an observational study, which involves gathering data and information to draw conclusions without intervening in the process. Correct answer: letter D.

An experiment would involve manipulating the variables to see the effect of the manipulation. In this case, it would involve changing the caffeine consumption and observing the effect on heart arrhythmias.

In order to better understand the relationship between heart arrhythmias and caffeine consumption, researchers need to consider a variety of factors, including the amount of caffeine consumed, the timing of consumption, and any potential underlying medical conditions that could be influencing the results.

Furthermore, researchers need to ensure that the study population is large enough and diverse enough to accurately reflect the general population. Additionally, researchers need to consider potential confounding variables, such as lifestyle factors, medications, and other dietary components that could be influencing the results.

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The accounting equation is a fundamental principle in accounting that states that assets equal liabilities plus equity. Using this equation, missing amounts can be determined in various situations.

The accounting equation is expressed as Assets = Liabilities + Equity. It serves as the foundation for double-entry bookkeeping and ensures that the financial statements are balanced. By rearranging the equation, missing amounts can be determined.

For example, if the assets and equity are given, the missing amount of liabilities can be calculated by subtracting equity from assets. Conversely, if the liabilities and equity are known, the missing amount of assets can be calculated by adding liabilities to equity.

Similarly, if the assets and liabilities are provided, the missing amount of equity can be calculated by subtracting liabilities from assets. Alternatively, if the assets and equity are known, the missing amount of liabilities can be calculated by subtracting equity from assets.

In each situation, the missing amount can be determined by applying the accounting equation and rearranging it to solve for the missing variable. This equation provides a framework for ensuring that all financial transactions are properly recorded and that the financial statements accurately reflect the financial position of a business.

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Answer: 20.1 m

Step-by-step explanation:

using  the formula circumference = 2pi r:

\(126=2\pi r\)

divide 2 pi on both sides

\(r=\frac{126}{2\pi }\)

r = 20.05

r = 20.1 m

The scientist used 0.786 liters of the liquid for the experiment.

Unit conversion is the process of converting a quantity expressed in one unit of measurement to an equivalent quantity expressed in a different unit of measurement.

To convert between different units of measurement, we need to use conversion factors, which relate to the two units.

In this case, the conversion factor is 1 liter = 1000 milliliters, which allows us to convert from milliliters to liters by dividing by 1000.

Here we have

A scientist used 786 millimeters  

To convert milliliters to liters, we need to divide by 1000 since there are 1000 milliliters in one liter.

So, to convert 786 milliliters to liters, we divide by 1000:

786 milliliters ÷ 1000 = 0.786 liters

Therefore,

The scientist used 0.786 liters of the liquid for the experiment.

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Complete Question:

A scientist used 786 milliliters of a liquid for an experiment. How many liters of the liquid did the scientist use for this experiment?

In a sample of 10,000 observations from a normal population, about 27 would be expected to lie beyond three standard deviations of the mean, therefore, the correct option is b.

For a normal distribution, about 99.7% of the data is expected to lie within three standard deviations of the mean. This is known as the empirical rule or the 68-95-99.7 rule.

Using this rule, we can estimate the number of observations beyond three standard deviations of the mean for a sample of 10,000. Since the distribution is normal, we know that the mean and standard deviation completely describe the distribution.

Assuming the sample is representative of the population, we can use the empirical rule to estimate the number of observations beyond three standard deviations of the mean. Since three standard deviations from the mean cover 99.7% of the data, the remaining 0.3% of the data would be expected to lie beyond three standard deviations.

Therefore, the correct answer is c. about 27, since 0.3% of 10,000 is approximately 27.

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Based on the analysis, point D at (-7, 1) is the only solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2. Therefore, the correct answer is option d) D.

To determine which point is a solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2, we can test each point to see if it satisfies both inequalities.

a) Point E at (4, -2):

Substituting the coordinates into the inequalities:

-2 > -2(4) + 10 -> -2 > -8 + 10 -> -2 > 2 (False)

-2 > (1/2)(4) - 2 -> -2 > 2 - 2 -> -2 > 0 (False)

b) Point K at (2, 3):

Substituting the coordinates into the inequalities:

3 > -2(2) + 10 -> 3 > -4 + 10 -> 3 > 6 (False)

3 > (1/2)(2) - 2 -> 3 > 1 - 2 -> 3 > -1 (True)

c) Point B at (4, 7):

Substituting the coordinates into the inequalities:

7 > -2(4) + 10 -> 7 > -8 + 10 -> 7 > 2 (True)

7 > (1/2)(4) - 2 -> 7 > 2 - 2 -> 7 > 0 (True)

d) Point D at (-7, 1):

Substituting the coordinates into the inequalities:

1 > -2(-7) + 10 -> 1 > 14 + 10 -> 1 > 24 (False)

1 > (1/2)(-7) - 2 -> 1 > -3.5 - 2 -> 1 > -5.5 (True)

Based on the analysis, point D at (-7, 1) is the only solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2. Therefore, the correct answer is option d) D.

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13-5x/4

13-5 dividendo 4

13-5/4

47-5/4

1/4

The expression represents the difference quotient of the function f(x) = 13-5x/4 for all nonzero values of h is ( 1 / 4). The correct option is A.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given function is f(x) = 13-5x/4. The value of the expression will be calculated as below:-

E = 13-5x/4

Put the value of x equal to 1.

E = 13-5/4

E = 47-5/4

E = 1/4

Therefore, the value of the expression is (1/4).

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Answer:

A

Step-by-step explanation:

Given that:

James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3.

Step-by-step explanation:

Let the Zach's age be Z years.

6 times older than Zach = 6Z

Zach added 8 to his age and multiplied this sum by 3 = 3(Z+8)

Now,

\(6Z=3(Z+8)\)

\(6Z=3Z+24\)

\(6Z-3Z=24\)

\(3Z=24\)

Divide both sides by 3.

\(Z=\dfrac{24}{3}\)

\(Z=8\)

Therefore, the required equation is \(6Z=3(Z+8)\) and Zach's age is 8 years.

Answer: 1,176 miles

Step-by-step explanation:

490 / 5 = 98 miles

98 mph X 12 hours is 1,176

The present age of Chaudhary is 21 years and Mrs Pandey is 14 years.

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

For example, x + 4y = 13 and -21x + 5y = 2 are linear equations in two variables.

Let the present age of Chaudhary is 'X' years and Mrs Pandey is 'Y' years.

So, according to the question:

sum of their present age is 35 years.

X + Y = 35                ----------- ( i )

also, Chaudhary age was thrice when Chaudhary were old as the Mrs Pandey.

Now,

X = 3 ( Y - (X - Y) )

X = 3 ( Y - X + Y )

X = 3 ( 2Y - X )

X = 6Y - 3X

4X = 6Y

2X = 3Y                  

X = 3Y / 2               ------------- ( ii )

Put value of X from equation ( ii ) in equation ( i ):

3Y/ 2 + Y = 35

5Y = 70

Y = 14 years

Put value of Y in equation ( ii )

X = ( 3 x 14 ) / 2

X = 21 years

Hence, The present age of Chaudhary is 21 years and Mrs Pandey is 14 years.

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Answer:

\(2 \sqrt[]{7} , and -2\sqrt[]{7}\)

Step-by-step explanation:

or:

x=5.29150262…,−5.29150262

Answer:

1

Step-by-step explanation:

18-4x=7x+7

18-7=7x+4x

11=11x

x=1

Answer:

1.25

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

The answer is 1/10

This is simple division

The equation is (1/5÷2)

I did my work on a sheet of paper so i know i did this correctly

My explanation of my work:

Keep change flip is the operation used here

So you keep 1/5 ,change the division sign to multiplication and flip the 2/1 into 1/2 so the new equation is (1/5x1/2) the answer to that is 1/10  

Have an amazing day :)

-yO mAmA

Answer:

Fraction: -9/56

Decimal: -0.16071428 (-0.16)

Step-by-step explanation:

Multiply, then use a fraction-to-decimal calculator.

Brainliest Please!

Inverse distance weighting is a useful tool for estimating values at unsampled locations in geostatistics. Another advantage of inverse distance weighting is that it allows for the incorporation of multiple variables into the estimation process.

Inverse distance weighting is a method used in geostatistics to estimate values at unsampled locations based on values at surrounding sample locations. It works by assigning weights to the sample points based on their proximity to the unsampled point. The closer a sample point is to the unsampled point, the higher its weight. The weights are then used to calculate a weighted average of the sample values, which is used as the estimate for the unsampled location.
The benefit of inverse distance weighting over a simple average is that it takes into account the spatial variability of the data. A simple average treats all sample points equally, regardless of their distance from the unsampled point. This can lead to inaccurate estimates if there is a high degree of spatial variability in the data. In contrast, inverse distance weighting gives more weight to sample points that are closer to the unsampled point, which is likely to provide a more accurate estimate.
Another advantage of inverse distance weighting is that it allows for the incorporation of multiple variables into the estimation process. For example, if there are two variables of interest (e.g., temperature and precipitation), inverse distance weighting can be used to estimate values for both variables simultaneously. This is not possible with a simple average.
Overall, inverse distance weighting is a useful tool for estimating values at unsampled locations in geostatistics. Its ability to account for spatial variability and incorporate multiple variables makes it a powerful technique for analyzing spatial data.

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Answer:

₹ 37500

Step-by-step explanation:

Let the price before VAT be ₹x.

\( \therefore \: x + 8 \% \: of \: x = 40500 \\ \therefore \: x +0.08x = 40500 \\ \therefore \: 1.08x = 40500 \\ \therefore \: x = \frac{40500}{1.08} \\ \huge \red{ \boxed{ \therefore \: x = Rs. \: 37,500}}\)

Hence the price before including VAT of air conditioner was ₹ 37,500.

With a function f(x) = 2x+2, domain = {−3, 1, 2, 4} the range of f using set notation is {−4, 4, 6, 10}

The range is the out put of the given function f(x) = 2x+2

Using the domain = {−3, 1, 2, 4} the range are calculated

f(x) = 2 * -3 + 2 = -4

f(x) = 2 * 1 + 2 = 4

f(x) = 2 * 2 + 2 = 6

f(x) = 2 * 4 + 2 = 10

The range is {−4, 4, 6, 10}

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Answer:

Step-by-step explanation:

The set of all possible y-values for the function h constitutes its range. The range is therefore [-3, 0].

The collection of all feasible output values (dependent variable) of a function is known as the range in mathematics. It is the totality of all possible numbers that the function can accept as input (an independent variable) and output. On the number line, the range is frequently represented by an interval or group of intervals. For instance, the range can be written as [-3, 3] if the domain of a function f(x) is [-2, 2] and its output numbers fall within [-3, 3].

given

The collection of all x-values for which h(x) is specified is the domain of the function h.

The graph's [-2, 4] domain can be determined by looking at the graph, which shows that it begins at x=-2 and concludes at x=4.

The set of all possible y-values for the function h constitutes its range. Looking at the graph, we can see that it takes all values between y=-3 and y=0, and that it begins at y=-3.

The range is therefore [-3, 0].

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The complete question is :-  The entire graph of the function h is shown in the figure below. Write the domain and range of h as intervals or unions of intervals.

-2

-3-

4-

domain =

range =