use the commutative property of multiplication to rewrite 12 times 2 times 3
which expression is equivalent
A 10+2 times 2 times 3
B 12 times 2+3
C 12(2+3)
D 2 times 12 times 3

Answer:

1. 12 yards.

2. 15 meters.

3. 217 centimeters.

Step-by-step explanation:

\(\frac{1}{2}\) · \(b\) · \(h\) is the formula. (for the area of a triangle.)

Hope it helped!

The sum of -2 3/4 and 5/g is rational since it can be expressed as a fraction with both the numerator and denominator as integers or expressions that simplify to integers.

To determine if the sum of -2 3/4 and 5/g is rational, we need to examine the properties of rational numbers.A rational number can be expressed as a fraction, where both the numerator and denominator are integers.

First, let's convert -2 3/4 into an improper fraction:

-2 3/4 = (-2 * 4 + 3) / 4 = (-8 + 3) / 4 = -5/4

Now, let's consider the sum of -5/4 and 5/g:

-5/4 + 5/g = (-5g + 20)/(4g)

Since the denominator in the expression 4g is the product of an integer (4) and a variable (g), it is rational.

The numerator (-5g + 20) is also a linear expression involving multiplication and addition of rational numbers, which results in a rational number.

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Given the equation of the function f(x)

We will divide f(x) by the factor (x-2)

We can use the long division or the synthetic division

We will use the long division as shown in the following figure:

So, the answer will be as follows:

Answer:

\(Given~quadratic ~function : 1=x^2-6x\)

\(here,a=1,b=-6\)

\(so, the~numbers~which ~we ~need ~to ~add....\)

➜ \((\frac{b}{2} )^2\)

➜ \(=(\frac{-6}{2})^2\)

➜\(=(-3)^2\)

➜ \(=9\)

---------------------

hope it helps...

have a great day!!

Answer:

(x+2)^2-6

Step-by-step explanation:

(x+2)^2 = x^2 + 4x + 4

x^2 + 4x + 4 -6 = x²+4x-2

Answer:

(x + 2)² - 6

Step-by-step explanation:

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² + 4x

x² + 2(2)x + 4 - 4 - 2

= (x + 2)² - 6

The correct answer to the above question is Option B. greater than 1. i.e., The future value of 1 factor will always be greater than 1.

The future value of 1 factor, also known as the future value factor (FVF), is a factor used in finance to calculate the future value of a sum of money. It represents the value that a present sum of money will have in the future at a given interest rate, over a specified period.

The FVF depends on the interest rate and the period. It is always greater than 1 when the interest rate is positive because money invested today will grow with interest over time, resulting in a larger future value. For example, if the FVF is 1.10 for one year, it means that if you invest $1 today at an annual interest rate of 10%, it will grow to $1.10 in one year.

On the other hand, if the interest rate is negative, the FVF will be less than 1. This is because money invested today will decrease in value over time due to the negative interest rate.

Therefore, the correct answer is option b) greater than 1, as the future value of 1 factor will always represent a value greater than the original amount invested or borrowed.

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The number of independent variables that can be tested in a single experiment depends on various factors, including the research design, resources, and the complexity of the study. In general, it is best to limit the number of independent variables to maintain control over the experiment and facilitate clear interpretation of results.

In simpler experiments, researchers often focus on a single independent variable to study its effect on the dependent variable while controlling for other factors. This allows for a clear cause-and-effect relationship to be established.

However, in more complex experiments, researchers may introduce multiple independent variables to examine their combined effects or interactions. This can provide insights into how different factors influence the outcome simultaneously.

The exact number of independent variables that can be tested in a single experiment varies, but it is generally recommended to keep the number manageable and avoid excessive complexity. This ensures that the experiment remains feasible, interpretable, and effectively addresses the research question or hypothesis.

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The variable “nationality” is a “categorical variable” and the names do not have any order.

Therefore, “option D” is correct.

It is a type of “categorical variable” that cannot be arranged in any “particular order” and it does not have any “numerical” values.

A) The average grade point is a “quantitative variable” and it is not a “categorical variable”.

Therefore, “option A” is incorrect.

B) The variable no. of friends contains the numbers and hence it is a “quantitative variable”.

Therefore, “option B” is incorrect.

C) The variable “birth position” has an order so it is not a “nominal variable”.

Therefore, “option C” is incorrect.

D) The variable “nationality” is a “categorical variable” and the names do not have any order.

Therefore, “option D” is correct.

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The complete question is :

Which of the following student characteristics is an example of a nominal variable?

A)grade point average (3.2, 2.5, etc.)

B) number of friends (0, 1, etc.)

C)birth position in the family (first, second, etc.)

D)nationality (U.S., Japanese, etc

The margin of error at 90% confidence and its interpretation is 0.085. 90% confident that the true proportion of sophomores who will attend Homecoming is within 0.085 of the sample proportion.

The margin of error is defined as a term used in statistics to find the confidence interval. It is denoted by E.

Given, random sample of 92 .

The formula for margin of error is;

\(E = z(\sqrt{(p(1 - p)/n} )\)

The parameters are given as;

Sample size; n = 92

Sample of success; x = 51

Sample proportion:

p = 51/92

= 0.554

z at 90% CL = 1.645

Thus;

\(E = 1.645(\sqrt{(0.554(1 - 0.554)/92} )\)

\(E = 0.085\)

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Answer:

x^2 +3x-5

Step-by-step explanation:

f(x) = 3x + 1 and g(x) = x^2 - 6

(f+g)(x) = 3x+1+x^2 -6

Combine like terms

           =x^2 +3x-5

The upper class represents approximately 1-2% of the population. The upper class is composed primarily of CEOs, government officials, celebrities, and very successful professionals.

This class is the smallest among the five social classes, comprising only a tiny percentage of the population (1-2 percent).Individuals in the upper class are often referred to as the "social elite," as they are frequently born into money, live in luxurious estates, and are members of exclusive clubs. Upper-class individuals usually have excellent education and a variety of skills that have helped them accumulate wealth and power. Therefore, the upper class represents approximately 1-2% of the population.

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After answering the given query, we can state that  Therefore, factor \(100ac^2 - 4a\)has the following completely factored form:

\(4a(25c^2 - 1) = 4a(5c + 1) = 100ac^2 - 4a(5c - 1)\)

In mathematics, the integer m acts as the integer n's divisor (also known as its component n), which can be obtained by multiplying the integers. We can also say that n is a multiple of m in this case. A factor is a number that splits another number by itself and leaves no residue. In other words, if two integers are multiplied to produce a product, the numbers that were multiplied are factors of the product because the product's outcome can be divided by the numbers that were multiplied. You can determine factors either by multiplying or dividing.

We can begin by factoring out the two terms' 4a largest common factor in order to factor 100ac2-4a:

\(100ac^2 - 4a = 4a(25c^2 - 1)\)

Now we can factor the equation enclosed in parentheses using the difference of squares formula:

\(25c^2 - 1 = (5c + 1)(5c - 1)\)

Therefore, \(100ac^2 - 4a\)has the following completely factored form:

\(4a(25c^2 - 1) = 4a(5c + 1) = 100ac^2 - 4a(5c - 1)\)

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Answer:

3.25

Step-by-step explanation:

divide then add 3

Answer:

3 1/4 or 13/4

Step-by-step explanation:

Answer:

a. The sum of the interior angles of a regular polygon with n sides can be found using the formula (n-2) x 180 degrees. Using this formula, we know the sum of the interior angles of a pentagon is (5-2) x 180 = 540 degrees. Since the sum of the interior angles of a polygon increases by 180 degrees for each additional side, we can guess that the sum of the interior angles of a 17-gon would be (17-2) x 180 = 2700 degrees.

b. For concave polygons, the sum of the interior angles may not follow the same pattern as that of regular polygons. It is possible for the sum of the interior angles of a concave polygon to be greater or less than the sum of the interior angles of a regular polygon with the same number of sides. So, it is difficult to make an accurate guess without more information about the specific shape of the concave 17-gon.

c. The sum of the exterior angles of any convex polygon always equals 360 degrees because each exterior angle is supplementary to its adjacent interior angle. In other words, the exterior angle and the adjacent interior angle form a straight line, which is 180 degrees. Since there are n exterior angles in an n-sided polygon, the sum of all the exterior angles is n x 180 degrees. However, each exterior angle is counted once for each vertex, and there are n vertices, so we need to divide by n to get the total sum of exterior angles, which is (n x 180) / n = 180 degrees.

d. For a concave polygon, the sum of the exterior angles may be greater than or less than 360 degrees, depending on the shape of the polygon. In a concave polygon, some of the exterior angles will be greater than 180 degrees, which means that their adjacent interior angles will be less than 180 degrees. Since the sum of the exterior angles is equal to the sum of the adjacent interior angles, some of the exterior angles will need to be subtracted from 360 degrees to get the total sum of exterior angles. However, without more information about the specific shape of the concave polygon, it is difficult to make an accurate guess.

Answer:

a. The sum of the angle measures of the regular pentagon is 540 degrees, and the sum of the angle measures of the concave pentagon is 720 degrees. Both of these polygons have five sides. If we assume that the sum of the angle measures of a polygon with n sides is proportional to n, we can use the ratios of the number of sides in each polygon to make an estimate for the sum of the interior angles of a 17-gon. The ratio of the number of sides in a 17-gon to the number of sides in a regular pentagon is 17/5. If we multiply the sum of the angle measures of the regular pentagon by this ratio, we get an estimate for the sum of the angle measures of a 17-gon:

540 * (17/5) = 1836 degrees.

So, we would guess that the sum of the interior angles of a 17-gon is 1836 degrees.

b. We can use a similar reasoning as in part (a) to estimate the sum of the interior angles of a concave 17-gon. The ratio of the number of sides in a concave pentagon to the number of sides in a concave 17-gon is 5/17. If we multiply the sum of the angle measures of the concave pentagon by this ratio, we get an estimate for the sum of the angle measures of a concave 17-gon:

720 * (5/17) = 211.76 degrees.

So, we would guess that the sum of the interior angles of a concave 17-gon is 211.76 degrees.

c. The sum of the exterior angles of a convex polygon always equals 360 degrees because the exterior angle at each vertex of the polygon is equal to the sum of the two adjacent interior angles. If we add up all of the exterior angles of a polygon, we are essentially adding up all of the vertex angles twice (once for each adjacent exterior angle). Therefore, the sum of the exterior angles of a convex polygon is equal to 2 times the sum of the interior angles. Since the sum of the interior angles of any n-sided polygon is (n-2)*180 degrees, the sum of the exterior angles is:

2 * (n-2) * 180 = 360(n-2) degrees.

d. It is not possible to make a generalization about the sum of the exterior angles of a concave polygon, because the sum of the exterior angles of a concave polygon can be greater than, less than, or equal to 360 degrees, depending on the polygon's shape. The sum of the exterior angles of a concave polygon can be greater than 360 degrees if the polygon has one or more reflex angles, which are angles greater than 180 degrees. In this case, the exterior angle at each vertex is less than the adjacent interior angle, so the sum of the exterior angles is greater than 360 degrees. On the other hand, if a concave polygon has no reflex angles, the sum of the exterior angles will be less than 360 degrees.

Step-by-step explanation:

The right answer is: E, according to the Central Limit Theorem for proportionality. The statistic is inaccurate.

In probability theory, the central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.

The Central Limit Theorem establishes that for a proportion p in a sample of size n:

The expected value is μ=р

The standard error is s=\(\sqrt{\frac{p(1-p)}{n} }\)

In this problem, the expected value is different of the expected of μ=р , hence, the statistic is biased, and the correct option is E.

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Answer:

i honestly dont know

Step-by-step explanation:

im trying to do my test and have been stuck on this one. Sorry for the disappointment.

Answer:

268.47

Step-by-step explanation: I took the quiz

By using the property of measure of an arc from the central angle

m(arc MQN) = 225°

m(arc MPN) = 135°

If m(arc KJH) = 312°

m∠1 = 48°

What is the measure of an arc from the central angle?

The measure of an arc from the central angle is the portion of the circumference of a circle that the arc spans. The measure of an arc is typically given in degrees.

In the given figure

by using the property of measure of an arc from the central angle

m(arc MQN) = 225°

m(arc MPN) = 360° - 225° = 135°

In the second figure,
If m(arc KJH) = 312°

m∠1 = 360° - 312° = 48°

Hence, by using the property of measure of an arc from the central angle

m(arc MQN) = 225°

m(arc MPN) = 135°

If m(arc KJH) = 312°

m∠1 = 48°

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The expression √-20 has an equivalent of 2√-5

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

√-20

Express 20 as the product of 4 and -5

So, we have the following equation

√-20 = √4 * -5

Expand the equation

So, we have the following equation

√-20 = √4 * √-5

Evaluate the exponent

√-20 = 2√-5

Hence, the equivalent expression of √-20 is 2√-5

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These z-scores represent the range of values that encompass the specified percentages of the distribution's area.

To find the z-score in each case, we can use the standard normal distribution table or a statistical calculator.

a) To find the z-score with 15% of the distribution's area to the right, we subtract 0.15 from 1 (since the right side is considered), resulting in 0.85. Looking up the corresponding z-score for this area, we find it to be approximately 1.04.

b) To find the z-score with 22.4% of the distribution's area to the left, we can directly look up the corresponding z-score for this area, which is approximately -0.81.

c) To find the z-score with 99.85% of the distribution's area to the right, we subtract 0.9985 from 1, resulting in 0.0015. Looking up the corresponding z-score for this area, we find it to be approximately 3.36.

d) To find the z-score with 15% of the distribution's area to the left, we can directly look up the corresponding z-score for this area, which is approximately -1.04.

To find the z-scores between which a certain percentage of the distribution's area falls, we can use the standard normal distribution table or a statistical calculator. The z-scores will give us the range of values that contain the specified percentage of the distribution.

a) For 53.75% of the distribution's area, we find the z-scores to be approximately -0.05 and 0.69.

b) For 13.96% of the distribution's area, we find the z-scores to be approximately -1.08 and -0.97.

c) For 85.62% of the distribution's area, we find the z-scores to be approximately -1.04 and 1.04.

d) For 99.995% of the distribution's area, we find the z-scores to be approximately -3.89 and 3.89.

These z-scores represent the range of values that encompass the specified percentages of the distribution's area.

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Answer:

Step-by-step explanation: A

Answer:

B

Step-by-step explanation:

10 to 4

4 divided by 2 = 2, 2 x 5 = 10

15 to 6

6 divided by 2 = 3, 3 x 5 = 15

35 to 14

14 divided by 2 = 7, 7 x 5 = 35

The command in Stata would be the most useful is reg when  you want to combine this with a dataset that reports how much each individual sleeps per week.

A collection of data is known as a data set (or dataset). In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable. The data set includes values for each of the variables, such as the object's height and weight, for each set member. Data sets may also include a group of files or documents.

For data management, visualisation, statistics, and automated reporting, Stata is a general-purpose statistical software programme created by StataCorp. Researchers in a variety of disciplines, such as science, biomedicine, epidemiology, and sociology, use it.

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Answer: 4 inches.

Step-by-step explanation:

Given: The relationship between V, the volume of a cube, and E, the length of each edge of the cube is given by :-

\(\sqrt[3]{V}=E\)

If volume = 64 cubic inches, then put V= 64, we get

\(\sqrt[3]{64}=E\\\\\Rightarrow\ \sqrt[3]{4\times 4\times 4} =E\\\\\Rightarrow\ \sqrt[3]{4^3} =E\\\\\Rightarrow\ 4 =E\)

Hence, the length of each edge of a cube =   4 inches.

The mean amount of snow per day is equal to 19 cm snow per day.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

For the total amount of snow based on the frequency, we have;

Total amount of snow (s cm), F(x) = 5(8) + 15(10) + 25(7) + 35(2) + 45(3)

Total amount of snow (s cm), F(x) = 40 + 150 + 175 + 70 + 135

Total amount of snow (s cm), F(x) = 570

Now, we can calculate the mean amount of snow as follows;

Mean = 570/30

Mean = 19 cm snow per day.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

We cannot determine the expressions that can be used to find "m" from the given options as none of the options listed are in the format of an expression that could be used to solve for "m".

We would need additional information or context to determine what "m" represents and how it is related to the given options.

Answer:

Its a function

Step-by-step explanation:

The ansswer is B

Answer:

2 apples

Step-by-step explanation:

he should be more careful next time :)

Step-by-step explanation:

the measure of XYZ =

135° - 60° = 75°

Answer:

0.0374

+or-0.0374

Step-by-step explanation:

z alpha/2=2.58

=2.58√(0.12(1-0.12)/500)

=0.0374

When a cool penny is placed in a hot car in the summer, the heat flows spontaneously from the hot car to the cool penny in an illustration of the law of thermodynamics. This process demonstrates the second law of thermodynamics which states that heat flows spontaneously from a hot region to a cold region.

According to the second law of thermodynamics, heat naturally flows from a warmer body to a cooler body. This means that the hot car will always transfer heat to the cool penny and this process will continue until both the car and the penny reach a state of thermal equilibrium, where they both reach the same temperature.

This is the basic principle behind refrigeration and air conditioning systems, which use refrigerants to move heat from a cooler environment to a warmer one.In conclusion, when a cool penny is placed in a hot car in the summer, the heat flows spontaneously from the hot car to the cool penny in an illustration of the second law of thermodynamics. This process continues until both objects reach a state of thermal equilibrium.

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Answer:

The critical value Za /2 that corresponds to 98% confidence level is (d) 2.33

Step-by-step explanation:

To obtain the critical value Za/2 that corresponds to a 98% confidence level, we need to determine the value that leaves 2% (0.02) in the tails of the distribution.

Since the confidence level is two-tailed, we need to divide the significance level by 2 to find the area in each tail. In this case, we have 2% divided by 2, resulting in 1% (0.01) in each tail.

Looking up the critical value in a standard normal distribution table or using statistical software, we obtain that the closest value to 0.01 in the table is approximately 2.33.

Therefore, the correct answer is D. 2.33.

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