In one city, 3,546 people attended a concert but in another city, 9,238 people attended the same band's concert. Estimate how many more people attended the concert in the second city by rounding to the nearest hundred and then subtracting.

We are given the following equation and we must state the reason behind each of the steps taken to solve it:

In the first step after giving the equation 21 is being substracted from both sides of the equation. Remember that the substraction property of the equality states that any value substracted from one side of the equal sign must also be substracted from the other side. Therefore the reason behind this step is the substraction property.

Then the substractions on each side are performed. In the left side we get 21-21=0 so the constant term dissapears and on the right we obtain 21-15=6. This means that during this step only a simplification was performed.

In the following step a number 2 is multiplied to each side of the equal sign. Remember that the multiplication property of equality states that whatever is multiplied in one side of the equal sign must also be multiplied in the other side. Then the reason behind this step is the multiplication property of equality.

In the final step in the left side the 2 multiplying is simplified with the number 2 dividing and in the right side the product between -6 and 2 is performed. Then this step is also a simplification.

Then the reasons in order are:

- Substraction Property of Equality

- Simplifying

- Multiplication Property of Equality

- Simplifying

Using mathematical operations, we can conclude that the length of LK is 1.25 units in triangle JKL.

A mathematical "operation" is indeed the method by which a value utilizes operands and a math operator.

The supplied operands or numbers must conform to a set of predefined rules that are connected to the symbol of the math operator.

Parentheses, Exponents, Arithmetic, Division, and Addition Simple arithmetic is also known as PEMDAS (from left to right).

So, we know that the given triangles are similar:

Then, the length of line LK will be:

JK/ST = LK/UT

Solve this as follows:

JK/ST = LK/UT

2.5/10 = LK/5

10LK = 2.5(5)

10LK = 12.5

LK = 12.5/10

LK = 1.25

Therefore, using mathematical operations, we can conclude that the length of LK is 1.25 units in triangle JKL.

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Setting x1 to zero in the equation 2x1 + 1x2 = 30 results in the value of x2 being 30.

The given equation is 2x1 + 1x2 = 30, where x1 and x2 represent variables. To find the value of x2 when x1 is set to zero, we substitute x1 with zero in the equation.

By replacing x1 with zero, we have 2(0) + 1x2 = 30. Simplifying further, we get 0 + 1x2 = 30, which simplifies to x2 = 30.

When x1 is set to zero, the equation reduces to a simple linear equation of the form 1x2 = 30. Therefore, the value of x2 in this scenario is 30.

Setting x1 to zero effectively eliminates the contribution of x1 in the equation, allowing us to focus solely on the value of x2. In this case, when x1 is removed from the equation, x2 becomes the sole variable responsible for fulfilling the equation's requirement of equaling 30. Thus, x2 is determined to be 30.

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Answer:

B

Step-by-step explanation:

Answer:

(7/2, 1)

Step-by-step explanation:

use the midpoint formula

Answer:

\((\frac{7}{2},1)\)

Step-by-step explanation:

An ordered pair is in the form (x,y).  You want to find the average of your x values and the average of your y values.  The x values are 13 and -6.  Your y values are 8 and -6.  You find the average by adding these two values together and dividing by 2.

(\(\frac{13-6}{2}\), \(\frac{8-6}{2} )\)

\((\frac{7}{2,} 1)\)

Answer:

a = 139.1

b = 56.2

Step-by-step explanation:

A. Reference angle = 68°

Opp = a

Hyp = 150

Therefore:

Sin 68 = opp/hyp

Sin 68 = a/150

150*sin 68 = a

a = 139.1 (nearest tenth)

B. Reference angle = 68°

Adj = b

Hyp = 150

Therefore:

Cos 68 = adj/hyp

Cos 68 = b/150

150*cos 68 = b

b = 56.2 (nearest tenth)

Answers:

Everything is rational but choice D

=======================================================

Explanation:

A rational number is anything in the form p/q where p and q are integers. The value of q cannot be zero.

So that's why -4/11 is rational. Here we have p = -4 and q = 11.

Any terminating decimal is rational. For choice A, we have 3.14 = 314/100

Choice C is also rational because \(\sqrt{\frac{4}{9}} = \frac{\sqrt{4}}{\sqrt{9}} = \frac{2}{3}\)

Choice E is rational since 6 = 6/1.

In short, choices A, B, C, and E are rational.

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

The only irrational answer is d) 2pi

pi is irrational because we cannot write it as a fraction of two integers. Any number in the form n*pi, where n is any integer, is also irrational.

Answer:

C

Step-by-step explanation:

-2x + 10  Means that the line crosses the y axis at 10.  The slope is -2 that means that as the y changes by -2, the x changes by 1.  

The second equations means that we have a horizontal line with no slope that goes through -28 1/2

The y-axis is an asymptote for normal distributions because the total area under the normal curve is equal to 1.

In mathematics, an asymptote is a straight line or curve that a function approaches but never touches or crosses. Asymptotes are often associated with rational functions, which are functions of the form f(x) = p(x) / q(x), where p(x) and q(x) are polynomials.

The following statements are:

A horizontal asymptote is a horizontal line that a function approaches as x increases or decreases without bound. A vertical asymptote is a vertical line that a function approaches as x approaches a certain value from either the left or right. An oblique asymptote is a slanted line that a function approaches as x increases or decreases without bound.

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The best diagram to use to display data dispersion is a box plot. A box plot is a diagram that shows how a dataset is distributed and helps to identify any outliers.

The diagram that is best at displaying data dispersion is a box plot. Here's the main answer:When there is a need to compare the distribution of data, a box plot is often the best method.

A box plot is a diagram that shows how a dataset is distributed. It shows how data is spread out and helps to identify any outliers. It is most effective for comparing data sets that have a large number of data points and when the data is not normal (not evenly distributed).

A box plot is a great way to summarize large amounts of data and it is also very easy to read and interpret. It shows a number of statistical values, including the median (the middle value of the data set), the quartiles (the values that divide the data set into four equal parts) and the range (the difference between the maximum and minimum values).

Additionally, it can identify any outliers in the data, which are values that are significantly different from the rest of the data.A box plot is created by drawing a rectangle between the first and third quartiles (the middle 50% of the data) with a line drawn inside it to show the median.

Lines are then drawn from the edges of the rectangle to the minimum and maximum values. Any outliers are marked with a point outside of the rectangle.

The box plot is a great way to compare data sets and to visualize the dispersion of the data

The best diagram to use to display data dispersion is a box plot. A box plot is a diagram that shows how a dataset is distributed and helps to identify any outliers. It is most effective for comparing data sets that have a large number of data points and when the data is not normal. A box plot is created by drawing a rectangle between the first and third quartiles with a line drawn inside it to show the median.

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Answer:

Step-by-step explanation:

B

Explanation:

Given that

Where

The next step will be to et the value of the adjacent

To find the exact values of other functions, we will have to use the

Also

Then

And finally

Answer:

d = 18.02 m

Step-by-step explanation:

Given that,

A rectangular lawn has a diagonal path running across it. The lawn is 10m wide and 15m long.

We need to find the length of the path.

The diagonal of a rectangle can be calculated as follows :

\(d=\sqrt{10^2+15^2} \\\\d=18.02\ m\)

So, the length of the path is 18.02 m.

Answer:

The answer is 3

Step-by-step explanation:

3×3×3=27

Answer:

the answer is 100% 3

Step-by-step explanation:

Answer:

x = -19

Step-by-step explanation:

For this problem, we simply need to get rid of the fractions so we can easily solve for x.

To get rid of these fractions, we will multiply the whole equation by the LCD which is 2 * 3 = 6.

( x / 2) - ( 1 / 2) = ( 2x / 3) + ( 8 / 3 )

6 * ( x / 2) - 6 * ( 1 / 2) = 6 * (2x / 3) + 6 * ( 8 / 3 )

3x - 3 = 4x + 16

3x - 3x - 3 - 16 = 4x - 3x + 16 - 16

0x - 19 = x + 0

x = - 19

Thus, for the equation to be true, x must be equal to negative 19.

Cheers.

Answer:

Answer= -19

Step-by-step explanation:

x/2 - 1/2 = 2x/3 + 8/3

x-1 / 2 = 2x+8 / 3

(x - 1) × 3 = (2x + 8) × 2

3x - 3 = 4x + 16

3x - 4x = 16 + 3

-x = 19

x = -19.

Thus, the value of x will be -19.

Hope it helps.

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Answer:

164.53125%

Step-by-step explanation:

105.3 is 164.53100% of 64

Answer:

Step-by-step explanation:

we solve with a proportion

105.3 : 64 = x : 100

x = 105.3 × 100 ÷ 64

x = 164.53125%

The range of the exponential function y based on its equation and the context of the problem is a set of positive real numbers less than the initial value of 62,150, representing the decreasing value of the car over time.

The given function represents the depreciation of Morgan's car over time, where x represents the number of months since the car was purchased. The function is y = 62,150 * (0.9999)^x.

To determine the range of the exponential function y, we need to consider the context of the problem. In this case, the range represents the possible values for the car's depreciation, or the value of y.

The base of the exponential function is 0.9999, which is less than 1. When a value between 0 and 1 is raised to a positive power, it decreases exponentially as the power increases. Therefore, as x (the number of months) increases, the value of y (the car's depreciation) decreases.

Since the base is less than 1, the range of the exponential function y is also less than the initial value of 62,150. As x approaches infinity, the value of y approaches 0, but it will never actually reach 0.

In practical terms, the range of the exponential function represents the decreasing value of the car over time. It indicates that the car's depreciation is continuous and will approach zero but will never completely reach zero.

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Answer:

1.85 miles

Step-by-step explanation:

Simply subtract 9.7 from 7.85, and the anwer is 1.85 miles.

The 95% confidence interval for the proportion of all American adults who support same-sex marriage is 0.485 to 0.549.

The following formula is used to calculate a confidence interval for the proportion of all American adults who support same-sex marriage

KI = p ± z*(√(p*(1-p)/n))

where:

p = percentage of respondents who support same-sex marriage

n = sample size (total number of respondents)

z = z-score for the desired confidence level

substitute all the values in the above formula,

CI = 0.517 ± 1.96*(√(0.517*(1-0.517)/n))

To compute confidence intervals, we need to know the sample size (n). the sample size is large, so we can use the normal distribution.

the random sample size of 1000 is taken as no sample size is specified.

For n = 1000,

CI = 0.517 ± 1.96*(√(0.517*(1-0.517)/1000))

= 0.517 ± 0.032

Therefore, the 95% confidence interval for the proportion of all American adults who support same-sex marriage is 0.485 to 0.549.

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Answer:

\(1.003*10^{25}\)

Step-by-step explanation:

We'll be using Avogadro's number which defines the amount of atoms in a mole.
To find the mole amount, we use the atomic mass to find the molar mass because the atomic mass represents how many grams are in a single mole of any element

2 Hydrogen atoms have an atomic mass of 2.016 g

1 Oxygen atom has an atomic mass of 15.999 g

Adding these two numbers gives us H2O's molar mass, which is 18.015 g/mol (grams per mole).

Now we take the supplied mass of 300g and divide it by the mm (molar mass) to find the amount of moles we have. 300/18.015 = 16.653

We have 16.653 moles in 300g of H2O.

Now we have to multiply 16.653 by Avogadro's number, \(6.022 * 10^{23}\)

This gives us: \(1.003*10^{25}\)

(a) The probability of ending up with two hits is approximately 0.1406.

(b) The probability of ending up with no hits is approximately 0.4219.

(c) The probability of ending up with exactly three hits is approximately 0.0156.

(d) The probability of ending up with at most one hit is approximately 0.8438.

To solve the given problem, we need to use the concept of binomial probability since each at-bat is independent and has the same probability of a hit. We'll use the batting average of 0.250 to calculate the probabilities.

The probability of a hit is given by the batting average, which is 0.250.

(a) To find the probability that she ends up with two hits:

Using the binomial probability formula, the probability of getting exactly two hits in three at-bats can be calculated as follows:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (1 - 0.250)^(^3^ -^ 2^)\)

Calculating the values:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (0.750)^1\)

P(X = 2) = 3 * 0.0625 * 0.750

P(X = 2) ≈ 0.1406

Therefore, the probability that she ends up with two hits is approximately 0.1406.

(b) To find the probability that she ends up with no hits:

Using the same binomial probability formula, the probability of getting no hits in three at-bats can be calculated as follows:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (1 - 0.250)^(^3^ -^ 0^)\)

Calculating the values:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (0.750)^3\)

P(X = 0) = 1 * 1 * 0.4219

P(X = 0) ≈ 0.4219

Therefore, the probability that she ends up with no hits is approximately 0.4219.

(c) To find the probability that she ends up with exactly three hits:

Using the same binomial probability formula, the probability of getting three hits in three at-bats can be calculated as follows:

P(X = 3) = (3 choose 3) \(* (0.250)^3 * (1 - 0.250)^(^3^ -^ 3^)\)

Calculating the values:

P(X = 3) = (3 choose 3) *\((0.250)^3 * (0.750)^0\)

P(X = 3) = 1 * 0.0156 * 1

P(X = 3) ≈ 0.0156

Therefore, the probability that she ends up with exactly three hits is approximately 0.0156.

(d) To find the probability that she ends up with at most one hit:

We can find this probability by calculating the sum of the probabilities of getting 0 hits and 1 hit.

P(X ≤ 1) = P(X = 0) + P(X = 1)

Substituting the calculated values:

P(X ≤ 1) ≈ 0.4219 + P(X = 1)

To calculate P(X = 1), we can use the binomial probability formula as before:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^(^3^-^1^)\)

Calculating the values:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^2\)

P(X = 1) = 3 * 0.250 * 0.5625

P(X = 1) ≈ 0.4219

Substituting back into the equation:

P(X ≤ 1)

≈ 0.4219 + 0.4219

P(X ≤ 1) ≈ 0.8438

Therefore, the probability that she ends up with at most one hit is approximately 0.8438.

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Answer:

Area≈197.974≈198

Step-by-step explanation:

delta math

Answer:

do it your self cuz your smart

Step-by-step explanation:

i know it

Answer:

The y-intercept is (0, 1.2). To find the slope, use the distance formula. The distance formula is Y2-Y1/X2-X1.

1.4-1.2/1-0

0.2/1

0.2

The slope is 0.2. The format for an linear equation is y=mx+b. So, the equation of the line is y=0.2x+1.2.

:)

True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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Step-by-step explanation:

a. 1

_

8

b. 1

_

7

c. 10

_

21

espero que isso te ajude

Vamos a resolver las operaciones utilizando la regla de multiplicación de fracciones y luego simplificaremos los resultados.

a) \(\sf\:\frac{1}{6} \times \frac{3}{4}\\\)

Para multiplicar estas fracciones, multiplicamos los numeradores entre sí y los denominadores entre sí:

Numerador: \(\sf\:1 \times 3 = 3\\\)

Denominador: \(\sf\:6 \times 4 = 24\\\)

Entonces, \(\sf\:\frac{1}{6}\:\times\:\frac{3}{4} = \frac{3}{24}\\\)

Podemos simplificar esta fracción dividiendo tanto el numerador como el denominador por el máximo común divisor, que en este caso es 3:

\(\sf\:\frac{3}{24} = \frac{3 \div 3}{24 \div 3} = \frac{1}{8}\\\)

Por lo tanto, el resultado simplificado es \(\sf\:\frac{1}{8}\\\).

b) \(\sf\:\frac{1}{2} \times \frac{2}{7}\\\)

Aplicando la regla de multiplicación de fracciones:

Numerador: \(\sf\:1 \times 2 = 2\\\)

Denominador: \(\sf\:2 \times 7 = 14\\\)

Entonces, \(\sf\:\frac{1}{2} \times \frac{2}{7} = \frac{2}{14}\\\)

Podemos simplificar esta fracción dividiendo tanto el numerador como el denominador por el máximo común divisor, que en este caso es 2:

\(\sf\:\frac{2}{14} = \frac{2 \div 2}{14 \div 2} = \frac{1}{7}\\\)

Por lo tanto, el resultado simplificado es \(\sf\:\frac{1}{7}\\\).

c) \(\sf\:\frac{4}{7} \times \frac{5}{6}\\\)

Siguiendo la regla de multiplicación de fracciones:

Numerador: \(\sf\:4 \times 5 = 20\\\)

Denominador: \(\sf\:7 \times 6 = 42\\\)

Entonces, \(\sf\:\frac{4}{7} \times \frac{5}{6} = \frac{20}{42}\\\)

Podemos simplificar esta fracción dividiendo tanto el numerador como el denominador por el máximo común divisor, que en este caso es 2:

\(\sf\:\frac{20}{42} = \frac{20 \div 2}{42 \div 2} = \frac{10}{21}\\\)

No podemos simplificar aún más esta fracción, por lo que el resultado simplificado es \(\sf\:\frac{10}{21}\\\).

Resumiendo las respuestas:

a) \(\sf\:\frac{1}{6} \times \frac{3}{4} = \frac{1}{8}\\\)

b) \(\sf\:\frac{1}{2} \times \frac{2}{7} = \frac{1}{7}\\\)

c) \(\sf\:\frac{4}{7} \times \frac{5}{6} = \frac{10}{21}\\\)

Answer:

5

Step-by-step explanation:

-2^2=-4

3^2=9

add

-4+9=5

The average of the group is 39.

What is average?

A value that represents the average or usual value in a set of data, such as the mode, median, or mean, which is determined by dividing the total number of items in the set by their sum.

Here, we have

In four observations in this group, the values are 40, 45, 38, and 33.

To find their average we add all values, and we get

= (40 + 45 + 38 + 33)/4

= 156/4

= 39

Hence, the average of the group is 39.

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Answer:

Step-by-step explanation:

With some research I found that the medians (QK, RJ, and SI) are broken into 2:1 ratios.

So what this means is that QD is twice as long as DK.

QD = 2DK

QD = 2 * 6.5

QD = 13

The centre line of a control chart is calculated by computing the average (mean) of the data for every period.

In control chart analysis, the centre line represents the central tendency or average value of the process being monitored. It is typically obtained by calculating the mean of the data points collected over a specific period. The purpose of the centre line is to provide a reference point against which the process performance can be compared. Any data points falling within acceptable limits around the centre line indicate that the process is stable and under control.

The calculation of the centre line involves summing up the values of the data points and dividing it by the number of data points. This average is then plotted on the control chart as the centre line. By monitoring subsequent data points and their distance from the centre line, deviations and trends in the process can be identified. Deviations beyond the control limits may indicate special causes of variation that require investigation and corrective action. Therefore, the centre line is a critical element in control chart analysis for understanding the baseline performance of a process and detecting any shifts or changes over time.

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