Julie attaches an extension cord that is 2 6/8 yards long to a cord that is 2 3/8 yards long. How long are the two cords together? Select all the correct ways to find the sum

The slope of the line passing through the points (2, 8) and (2, -4) is undefined.

The slope of the line passing through the points (-7, 8) and (2, 8) is zero.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

Slope, m = (-4 - 8)/(2 - 2)

Slope, m = (-12)/0

Slope, m = undefined.

Since the change in the y-axis equals to zero, the slope of this line is equal to zero:

Slope, m = (8 - 8)/(2 - (-7))

Slope, m = 0/9

Slope, m = 0

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To convert  90% confidence interval, add and subtract the margin of error from the sample mean

A 90% confidence interval is a range of values that is likely to contain the true population parameter with 90% probability. Here's how you can calculate a 90% confidence interval:

Collect a sample of data that is representative of the population

Calculate the sample mean and the sample standard deviation (s).

Determine the sample size (n).

Use a t-distribution table or calculator to find the critical t value for a 90% confidence level and (n-1) degrees of freedom.

Calculate the margin of error by multiplying the critical t value by the standard error of the mean, which is s/ [tex]\sqrt{n}[/tex].

margin of error = t-value × (s / [tex]\sqrt{n}[/tex])

Determine the upper and lower bounds of the confidence interval by adding and subtracting the margin of error from the sample mean.

Lower bound = Sample mean - margin of error

Upper bound = sample mean + margin of error

The resulting interval will be the 90% confidence interval for the population mean.

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Regression is a statistical procedure for determining the linear relationship between a number of variables. A simple regression model has one dependent variable and one independent variable [tex](y)[/tex]

It is used to forecast the amount of a dependent variable according to the results of one independent variable. [tex](x)[/tex]

The estimated least-squares line has the following shape :[tex]y=bo+b1x[/tex].

In this case, the dependent variable is, the independent variable is, the intercept is, and the slope coefficient is.

The slope of a linear regression describes how a unit change in x changes the y value.

When, the intercept represents the expected mean value of Y. When X never equals zero, the intercept has no intrinsic meaning.

Step  (1) The process of estimating the linear relationship between two or more variables is known as regression. Only if there is a linear relationship between both variables can a regression equation be used to predict future.

Linear regression is the most fundamental a kind of regression and is the most widely used proposed model. A regression line can be used to predict dependent variables based on independent variables.

Step: (2) Outliers have a significant impact on the slope of the regression line. Influential points are also referred to as outliers in regression analysis.

Outliers can have a significant impact on the regression equation, so remove any outliers that are recognized errors. Consider the effects of any known inconsistencies that are outliers.

Step 3: Because outliers can have a large impact on the regression line, they are also referred to as important and powerful points.

An outlier is a data point that is located far away first from remaining pieces of data. These are additionally known as influencing points. Outliers have a significant influence on the slope of something like the regression line.

For linear associations, regression models can be utilized.

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Answer:

The probability of landing on less than two sections when the spinner is spun once is 0.25.

Answer: it will be 0.25 hope this helped have a nice day :)

A graph of the function,

f(x) = log₃(x - 1) + 2 is given in the image below.

The inverse of exponentiation is the logarithm. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.

Given:

A function,

f(x) = log₃(x - 1) + 2.

let y = f(x) = log₃(x - 1) + 2.

To find the y-intercept:

y = log₃(-1) + 2

y = 1.111

Therefore, the graph of the function is given in the attached image.

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The converted value of the units 3000 meters to the required miles is given by 1. 8641 miles ( round up to four decimal places ) .

Standard form to Convert meters and miles is equal to :

1 meter = 0.000621371 miles

Now,  the value of 3000 meters in miles we get by multiplying it by 0.000621371 we get,

3000 meters = ( 3000 ) × ( 0.000621371 ) miles

                      = ( 1.864113 ) miles

                      = ( 1.8641 ) miles ( round up to four decimals places )

Therefore, the value of 3000 meters to miles is equal to ( 1.8641 ) miles ( round up to four decimals places ) .

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You cannot compare two marginal distributions to see if the corresponding two variables are related.

Therefore the answer is False.

Comparing two marginal distributions only provides information about the individual variables, not their relationship. Marginal distributions represent the frequencies or probabilities of each variable independently of the other variables in the dataset. To determine the relationship between two variables, a joint distribution or a statistical test such as correlation or regression analysis should be used. These methods allow for a deeper understanding of the relationship between the variables and can provide insights into their direction and strength of association. Therefore the given statement "You can compare two marginal distributions to see if the corresponding two variables are related." is False.

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Step-by-step explanation:

-Multiply inside the brackets

-Add like terms ( Or in this case move it to the others side to find p)

-Add

- Then do some substitution to check for the answers

500 grams is equivalent to approximately 17.637 ounces.

Gram is a metric unit of weight equal to one thousandth of a kilogram.

Ounce is a unit of weight equal to one sixteenth of a pound or 16 drams or 28.349 grams.

Ounce is defined as exactly 28.349523125 grams and is equivalent to one sixteenth of an avoirdupois pound.

To convert 500 grams to ounces,

We can use the conversion factor that 1 ounce is equal to 28.3495 grams.

So, we can write:

500 grams = (500 ÷ 28.3495) ounces

500 grams = 17.637 ounces (rounded to three decimal places)

Therefore, 500 grams is equivalent to approximately 17.637 ounces.

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The value of 104 kg into lbs can be converted by multiplying kilogram by 2.204622  so the answer is 229.3 pounds.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

The SI unit of mass is the kilogramme (kg). It has the same mass as the international kilogramme prototype. The International Bureau of Weights and Measures maintains a platinum-iridium international prototype similar to this one. A kilogramme is about equivalent to 2.20462262184878 pounds.

The legal definition of a pound, or the international avoirdupois pound, is 0.45359237 kilogrammes.

Pounds = kilograms × 2.20462262184878

= 104 x 2.20462262184878

= 229.3 pounds or lbs.

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Answer: The new perimeter is 2334 inches.

Step-by-step explanation:

The way to find perimeter is 2L + 2W. The original length was 799 inches and 23 inches were added. 799 in. + 23 in. = 822 in. The width is 245 in. 2(822) + 2(245) = Perimeter. 1844 in. + 490 in. = 2334 in. is the Perimeter.

The number round to the nearest hundredth according to the rules is 7.11.

The steps to round the digits to nearest hundredth are as follows -

Step 1 - Firstly read the number and analyse the number at the position hundredth. We see that 0 is present at the hundredth position.

Step 2 - Now check the number on the right hand side of the number. We see that it is 9.

Step 3 - If the number is greater than 5, then add one to the prior digit (the one at hundredth position).

Step 4 - Write the final number using above points. The number will be 7.11. The number 3 will be dropped as we are directed to shorten the number.

The rounded number is 7.11.

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To find the minimum score you would need to be in the top 4%, we need to use the standard normal distribution and the given z-score.

First, we find the z-score corresponding to the top 4% using a standard normal distribution table or a calculator:

z = invNorm(1 - 0.04) = invNorm(0.96) = 1.7507 (rounded to four decimal places)

The minimum score needed to be in the top 4% is the score that corresponds to this z-score in the distribution of exam scores. We can use the formula for standardizing a normal random variable to find this score:

z = (X - μ) / σ

where X is the exam score, μ is the mean of the exam scores, and σ is the standard deviation of the exam scores.

Solving for X, we get:

X = zσ + μ = 1.75076.1 + 76.4 = 87.46

Therefore, the minimum score you would need to be in the top 4% is approximately 87.46 points.

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Answer: the answer is 48

Step-by-step explanation:

Answer: 48

Step-by-step explanation: A triangles formula is base x height divided by 2, therefore we will do first 8 x 12 which equals 96, and divide by 2, giving us 48.

The zeros at the end of a number can be significant if it contains decimal point only if the digit next to or at the end of the number (of decimal point) is a significant number.

Significant numbers of a given number are those digits that can convey the meaning of the number or what it stands for (measures as) according to its accuracy.

All non-zero numbers are significant numbers irrespective of the fact where they are positioned, that is they can be positioned before or after a decimal (also before or after a zero).

All zeros are not significant numbers and whetehr they are to be called significant numbers or depend on the fact where they are positioned and whether they convey any meaning (or value ) of the number. If the zeros are between two non zero significant digits then zero is also considered as a significant number.

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The possible value of x are + √15 and - √15

Angles who are of same measurement are called congruent.

Suppose that two angles ∠A and ∠B are of same measure, then

[tex]m\angle A = m\angle B[/tex]

is the notation to say that they are of same measurement, where the small m shows that its the measurement of the angles they're preceding.

Then the congruency between them as;

[tex]\angle A \cong \angle B[/tex]

angle EAB  = 2x² + x

angle EDA =  x + 30

Here we can see the angle EAB and angle EDA are equal

So,

2x² + x = x + 30

2x² + x - x = 30

2x² =  30

x² = 15

x =±√15

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Answer:

35.35 seconds

Step-by-step explanation:

The volume of the cylindrical glass can be calculated as:

V = πr²h

where r is the radius (half of the diameter), h is the height, and π is the mathematical constant π (approximately 3.14).

Since the diameter is 3 inches, the radius is 1.5 inches. The height is 10 inches. Therefore, the volume of the glass is:

V = π(1.5)²(10) ≈ 70.69 cubic inches

To fill the glass 50%, we need half of the volume:

V/2 ≈ 35.35 cubic inches

The faucet dispenses water at a rate of 1 cubic inch per second, so the time it takes to fill the glass 50% is:

t = (V/2) / (1 cubic inch per second) ≈ 35.35 seconds

Therefore, it takes approximately 35.35 seconds to fill the glass 50%. Rounded to two decimal places, the answer is 35.35 seconds.

There are 142,506 different committees of 5 students that can be selected from a group of 30 students.

The number of different committees that can be formed by selecting 5 students from a group of 30 students can be calculated using the formula for combinations, which is:

n C r = n! / r!(n - r)!

where n is the total number of items (in this case, the number of students) and r is the number of items to be selected (in this case, 5).

Substituting the values, we get:

30 C 5 = 30! / (5! * (30 - 5)!)

= (30 * 29 * 28 * 27 * 26) / (5 * 4 * 3 * 2 * 1)

= 142,506

Therefore, there are 142,506 different committees of 5 students that can be selected from a group of 30 students.

Probability is a branch of mathematics that deals with the study of random events and the likelihood of their occurrence. It is a measure of the chance or likelihood of an event happening, expressed as a number between 0 and 1. A probability of 0 means the event will not occur, and a probability of 1 means the event will definitely occur.

The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. This is known as the classical probability, and it assumes that all outcomes are equally likely.

There are also other types of probability, including empirical probability (based on observations and data), subjective probability (based on personal judgment and beliefs), and conditional probability (the probability of an event given that another event has occurred).

Probability has applications in many fields, including statistics, science, finance, and engineering. It is used to model and predict the occurrence of events, to make decisions under uncertainty, and to design systems and processes that can minimize risk and maximize the chances of success.

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The FRF method is a common technique for analyzing the dynamics of structures and systems, it is typically not used as a primary method for determining a system damping ratio by field measurements.

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If A sheet of paper is 0.00005 meter thick, the thickness of a sheet of paper in nanometers is 50,000 nanometers. Option A is correct answer.

To convert the thickness of a sheet of paper from meters to nanometers, we need to multiply by the conversion factor of 1 meter / 1 x 10^-9 nanometers.

First, we need to convert the thickness of the paper from meters to nanometers. We can do this by multiplying the thickness in meters by the conversion factor:

0.00005 meter x (1 x 10^-9 nanometers / 1 meter) = 50 nanometers

It's important to understand the concept of scientific notation when dealing with extremely large or small numbers. In this case, we use scientific notation to express the size of a nanometer, which is a billionth of a meter. By expressing the conversion factor in scientific notation, we can easily move the decimal point to convert between units.

Therefore , the correct option is A.

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Complete question is:

A sheet of paper is 0.00005 meter thick. One nanometer is 1 x 10-meter. How thick is a sheet of paper in nanometers?

A. 50,000

B. 500,000

C. 50,000,000,000,000

D. 500,000,000,000,000

Answer: The other angle would be 60 degrees.

Step-by-step explanation:

The next step would be to draw an arc with the compass centered at the endpoint.

This arc should intersect the segment at two points.

We have,

After Jessica places the compass on one endpoint of the segment and opens it to a width larger than half of the segment, her next step would be to draw an arc with the compass centered at the endpoint.

The concept used in Jessica's next step is the compass-and-straightedge construction method.

By opening the compass wider than half of the segment and drawing an arc with the compass centered at one endpoint, she creates two points of intersection between the arc and the segment.

These points will divide the segment into two equal halves, allowing her to bisect the segment.

Thus,

The next step would be to draw an arc with the compass centered at the endpoint.

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The missing measures in △STU could be 28 degree.

WE have been Given △PQR ~ △STU,

WE need to find the missing measures in △STU.

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

Remember that we took

[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

[tex]\dfrac{sin\angle Q}{21} = \dfrac{sin\angle T}{6}[/tex]

[tex]\dfrac{sin\angle 64}{21} = \dfrac{sin\angle T}{6} \\\\\dfrac{0.920}{21} = \dfrac{sin\angle T}{6} \\\\{sin\angle T} = \dfrac{0.920 \times 6}{21}[/tex]

Sin angle T = 0.2628

△STU = 28 degree.

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20 kg is approximately equal to 44.0925 pounds ( rounded to four decimal places )

The conversion factor to convert kg to pounds is 2.20462

1 kg = 2.20462 pounds

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in pounds = The mass in kg × conversion factor

Substitute the values in the equation

1 kg = 2.20462 pounds

20 kg =  20 × 2.20462

Multiply the numbers

= 44.0925 pounds  ( rounded to four decimal places )

Therefore, 20 kg is 44.0925 pounds

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Answer:

{-4, 2, 6, 9}

Step-by-step explanation:

I took the quiz lol

Answer:

The similar figures have dimensions equal in proportion. But in the case of congruent, the transformation of objects is done by using rotation, reflection or translation. The shape is turned or flipped to transform into another shape.

Step-by-step explanation:

205 lbs is approximately equal to 92.9864 kg  ( rounded to four decimal places )

The conversion factor to convert lbs to kilogram is 0.453592

1 lbs = 0.453592 kg

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in kg = The mass in lbs × conversion factor

Substitute the values in the equation

1 lbs = 0.453592 kg

205 lbs =  0.453592 × 205

Multiply the numbers

= 92.9864 kg  ( rounded to four decimal places )

Therefore, 205 lbs is 92.9864 kg

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The value of weight of 73 kg when converted to pounds is  160.93726 pounds.

kilogram is the standard unit of mass in the International System of Units (SI), while pounds are a common unit of mass used in the United States and other countries.

To Know how to convert between different units of measurement is essential for accurate calculations and comparisons. convert 73kg to pounds, you can use the formula: 1 kilogram is equal to 2.20462 pounds.

Therefore, to convert 73kg to pounds, you would multiply 73 by 2.20462.

73 x 2.20462 = 160.93726 pounds

So, weight of 73kg is equivalent to 160.93726 pounds

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