Which number system best describes this set?
{ - 14, 0, 22/3, 5.72 }

A. Integers
B. Natural numbers
C. Rational numbers
D. Irrational numbers

The value of p, q, and r cannot be found without more information about what the variables represent and any equations or relationships that they may be a part of.

Please provide more context or information about the problem you are trying to solve.

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The complete factorization of the polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

A polynomial is an expression consisting of coefficients and variables forming an equation.

Given the polynomial:

x³ + 2x² -x - 2

Factorizing:

= (x + 2)(x² - 1)

= (x + 2)(x + 1)(x - 1)

The polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

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Answer:

4th option / (-8,-4)

Step-by-step explanation:

If you graph the point (8,-2) and you translate if 6 units down and you look at your new point then that's how you get the answer.

Answer:

3,4.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

\(ax^{2} + bx + c, a\neq0\).

This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:

\(x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}\)

\(x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}\)

\(\Delta = b^{2} - 4ac\)

In this question:

The function is:

\(g(x) = \frac{x^2+4x-5}{x^2-7x+12}\)

In a fraction, the values not in domain are the values for which the denominator is 0.

Find all values of that are NOT in the domain of g.

It will not be in domain if the denominator is 0. So

\(x^2 - 7x + 12 = 0\)

That is, a quadratic equation with \(a = 1, b = -7, c = 12\)

\(\Delta = (-7)^{2} - 4(1)(12) = 49 - 48 = 1\)

\(x_{1} = \frac{-(-7) + \sqrt{1}}{2(1)} = 4\)

\(x_{2} = \frac{-(7) - \sqrt{1}}{2(1)} = 3\)

The values are 3 and 4, so the answer is 3,4.

Residual sum of squares (RSS) is a measure of the total amount of variance in a given data set that is not explained by a model.

It is equal to the sum of squared differences between the observed data values and the predicted values from the model. This measure is commonly used in regression analysis to evaluate the performance of a model. The formula for RSS is  RSS = Σ(y_i - ȳ)², where y_i is the observed value and ȳ is the predicted value.For example, let's say we have a data set of 10 observations (y_1, y_2, ...,y_10). We fit a linear regression model to the data set which predicts a value ȳ_i for each observation. The RSS for this model is calculated by summing the squared differences between the observed values (y_i) and the predicted values (ȳ_i) for each of the 10 observations. This yields the RSS, which is a measure of how much of the variance of the data set is not explained by the model.

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Answer:

use distance formula

Step-by-step explanation:

The equation of the circle x² + y² – 18x + 8y + 5 = 0 can be written as in the standard form is (x – 9)² + (y + 4)² = 92

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is given below.

x² + y² – 18x + 8y + 5 = 0

Add and subtract 97, then we have

x² – 18x + y² + 8y + 97 – 97 + 5 = 0

x² – 18x + 81 + y² + 8y + 16 – 92 = 0

                        (x – 9)² + (y + 4)² = 92

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The volume of each ball is (32/3)π cubic inches, and the volume of water just enough to cover the four balls is also (32/3)π cubic inches.

First, let's calculate the volume of each ball. The diameter of each ball is given as 4 inches, so the radius (half the diameter) of each ball is 2 inches. The formula to calculate the volume of a sphere is V = (4/3)πr^3, where V represents volume and r represents the radius.

For each ball, the volume is:

V = (4/3)π(2³)

V = (4/3)π(8)

V = (32/3)π cubic inches

Since there are three balls at the bottom of the jar, the combined volume of these three balls would be:

3 * (32/3)π = 32π cubic inches

Now, let's consider the fourth ball. Since it is dropped on top of the three balls, it will displace some water, and the volume of the water needed to cover the four balls will be equal to the volume of the fourth ball.

To find the volume of the fourth ball, we use the same formula:

V = (4/3)πr³

Since the diameter of the fourth ball is also 4 inches, its radius is 2 inches. Substituting this value into the formula, we get:

V = (4/3)π(2³)

V = (4/3)π(8)

V = (32/3)π cubic inches

Therefore, the volume of water required to cover the four balls is also (32/3)π cubic inches.

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Answer:

To calculate the final cost of the meal, we need to first calculate the discount and then add the sales tax. Discount = 10% of $5.75 = $0.575 Price after discount = $5.75 - $0.575 = $5.175 Sales tax = 4% of $5.175 = $0.207 Final cost = Price after discount + Sales tax = $5.175 + $0.207 = $5.382 Therefore, you should charge the customer $5.382.

well, let's hmmm apply the 10% discount first

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 5.75}}{\left( \cfrac{10}{100} \right)5.75} ~~ \approx ~~ 0.58~\hfill \stackrel{ 5.75~~ - ~~0.58 }{\approx\text{\LARGE 5.17}}\)

now let's apply the 4% tax to it

\(\stackrel{\textit{4\% of 5.17}}{\left( \cfrac{4}{100} \right)5.17} ~~ \approx ~~ 0.21\hspace{5em}\stackrel{ 5.17~~ + ~~0.21 }{\text{\LARGE 5.38}}\qquad \textit{final charge}\)

True. The values that can be entered into a field are determined by the data type of the field.

The data type specifies what type of data can be stored in the field, such as text, numbers, dates, or boolean values. This helps ensure data consistency and accuracy within the field.
Field values that may be entered into a field are determined by the data type of the field. The data type defines the kind of values that can be stored in that specific field, ensuring that the information entered is consistent and accurate.

Data are collected by techniques such as measurement, observation, interrogation or analysis and are often represented as numbers or symbols that can be further processed. Data fields are data stored in unmanaged fields. Test data is data created during the execution of the test. Data analysis uses techniques such as computation, reasoning, discussion, presentation, visualization, or other post-mortem analysis. Before analysis, raw data (or raw data) is usually cleaned: outliers are removed and obvious devices or incorrect input data are corrected.

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Sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to underestimate the true population variance and standard deviation.

The reason for this is that the sample variance and standard deviation are based on a sample of the population, not the entire population. The sample may not accurately represent the entire population, and thus the sample variance and standard deviation may not accurately reflect the true population variance and standard deviation. To correct for this bias, a correction factor is usually added to the sample variance calculation. For example, when estimating the population variance from a sample of size n, the sample variance is divided by (n-1) instead of n. This correction factor helps to provide a more accurate estimate of the population variance. Similarly, the sample standard deviation is calculated as the square root of the sample variance, and the correction factor is also applied to the sample standard deviation calculation. This corrected sample standard deviation is known as the unbiased sample standard deviation.

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Complete Question

sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to: What?

Answer:

30,000

Step-by-step explanation:

100% - 33% = 67%

67% = 2 / 3

45,000 * (2 / 3) = 30,000

Answer:

3x(2x - 3)

Step-by-step explanation:

Given

y = 6x² - 9x ← factor out 3x from each term

  = 3x(2x - 3)

To find the volume under the graph of \(z = e^{-(x^2 + y^2)}\) above the disk

x² + y² ≤ a², we can set up a double integral.

To set up the double integral, we integrate the function \(z = e^{-(x^2 + y^2)}\)over the region defined by the disk x² + y² ≤ a².

We can use polar coordinates to simplify the integral since we are dealing with a circular region. In polar coordinates, the disk x² + y² ≤ a² is represented by the inequality r² ≤ a².

The volume can be expressed as a double integral:

V = ∬R \(e^{-(x^2 + y^2)}\) dA,

where R represents the region defined by r² ≤ a² in polar coordinates.

In polar coordinates, the integral becomes:

V = ∬R \(e^{-(r^2)}\) r dr dθ,

where the limits of integration for r are 0 to a and the limits for θ are 0 to 2π, covering the entire disk.

Evaluating this double integral will give the volume under the graph of

\(z = e^{-(x^2 + y^2)}\)above the disk x² + y² ≤ a².

Note: The actual evaluation of the integral would require specific values for 'a' to obtain a numerical result.

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Hey there! :)

Answer:

2nd choice, (x + 5)(x - 5).

Step-by-step explanation:

Given:

x² - 25

This is a binomial that can be factored using difference of squares.  Therefore, this expression in factored form is:

(x + 5)(x - 5).

Answer:

Second choice (x + 5)(x - 5)

Step-by-step explanation:

x^2-25

So here it looks like a^2 - b^2

Then the answer is:

(x + 5) ( x - 5)

Hope this helps..

Good Luck

This sampling method is almost certainly biased because the demographic group is dictated by location of the college. In this case the students are all college bound and have like socio economic backgrounds.

What is meant by sampling method?

Sampling is a process in statistical analysis where researchers take a predetermined number of observations from a larger population. The method of sampling depends on the type of analysis being performed, but it may include simple random sampling or systematic sampling.

A true sampling would be a mixed demographic group. A sampling from several like areas: e.g. infront of the student store, infront of the regular store, infront if a food pantry, infront of ... or even better do a blind survey.

Hence , this sampling method is almost certainly biased because the demographic group is dictated by location of the college. In this case the students are all college bound and have like socio economic backgrounds.

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Answer:

x = 38°

Step-by-step explanation:

Complementary angles = 90°

90° = x + x+14

90° = 2x + 14

104 = 2x

x = 52°

the next angle should be 52 - 14 = 38°

So x = 38°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

7 muffins

Step-by-step explanation:

9x9=81

88-81=7 muffins

Answer:

7 muffins

Step-by-step explanation:

88 x 9 =

81

81 + 7 = 88

So the Answer is 7

The only point that is a solution to the system of inequalities is (C) (2, 6).

To solve this problem, substitute each of the points into the inequalities.

For point (A), y < (4)² + 6 and y > (4)² − 4.

This simplifies to y < 22 and y > 12.

However, 2 is not greater than 12, so (A) is not a solution.

For point (B), y < (0)² + 6 and y > (0)² − 4.

This simplifies to y < 6 and y > −4.

However, 8 is not less than 6, so (B) is not a solution.

For point (C), y < (2)² + 6 and y > (2)² − 4.

This simplifies to y < 10 and y > 0.

6 is less than 10 and greater than 0, so (C) is a solution.

For point (D), y < (−2)² + 6 and y > (−2)² − 4.

This simplifies to y<2 and y>−8.

-4 is not greater than -8, so (D) is not a solution.

Therefore, the only point that is a solution to the system of inequalities is (C).

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Answer:

The answer is 21

Step-by-step explanation:

This should help you

The angle of depression of the boat from the top of the cliff = 51.78 degrees

To calculate the angle of depression of the boat from the top of the cliff, we need to draw a diagram to visualize the situation.

In this instance, we can draw a right-angled triangle with one side representing the cliff's height (94m) and the other representing the horizontal distance between the boat and the cliff's foot. (74m). This triangle's hypotenuse depicts the line of sight from the top of the cliff to the boat.

The angle of depression is defined as the angle formed by the horizontal line and the line of sight from the cliff's summit to the boat.

We can use the tan function to determine this angle.

tan(angle of depression) = (height of cliff) / (horizontal distance from the boat to the foot of the cliff)

tan(∅) = (h/x)

tan(angle of depression) = 94 / 74

angle of depression = \(tanx^{-1} (94/74)\)

angle of depression = 51.788974574 degrees

Therefore, the angle of depression of the boat from the top of the cliff is approximately 51.78 degrees.

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The angle of depression of the boat from the top of the cliff is approximately 50.67 degrees.

To calculate the angle of depression of the boat from the top of the cliff, we can use trigonometry. The angle of depression is the angle formed between the horizontal line (parallel to the ground) and the line of sight from the top of the cliff to the boat.

In this scenario, we have a right triangle formed by the cliff, the boat, and the horizontal line connecting them.

Let's denote the angle of depression as θ.

Using trigonometric ratios, we can use the tangent function to calculate the angle of depression:

tan(θ) = opposite/adjacent

In this case, the opposite side is the height of the cliff (94 meters) and the adjacent side is the horizontal distance from the foot of the cliff to the boat (74 meters).

tan(θ) = 94/74

To find θ, we can take the inverse tangent (arctan) of both sides:

θ = arctan(94/74)

Using a calculator or trigonometric table, we can find that θ is approximately 50.67 degrees.

Therefore, the angle of depression of the boat from the top of the cliff is approximately 50.67 degrees.

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Answer:

4 Chips $12 and 6 cans of soda $12.

Step-by-step explanation:

Each chip cost $3*4=12 and Soda cans cost $2*6=12

12+12=$24. You can also figure a few of different ways, this is one of them.

Step-by-step explanation:

im not quite sure

but I believe it is 97

A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.

Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.

A z score represents the number of standard deviations a data point is from the mean of the data set.

A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.

The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:

z = (x - μ) / σ

= (93 - 80) / 5

= 2.6

Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.

Katie's score is 2.6 standard deviations above the mean.

A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.

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Answer: 6 (2n + 1)

Explain it by: twice a number, increased by four.

God bless....I hope the explanation is useful.

Answer:

because it will bounce high and hit something.

Step-by-step explanation:

Answer:

4.85

Step-by-step explanation:

All u have to do is add 3.75 and 1.1 if u do that the sum will be 4.85

Answer: 6r

Step-by-step explanation:7-3+2 is 6

The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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