Explain two different ways to find a new value after an original value is increased by 30%.

Answer:

We can form an isosceles triangle by using the given measures.

Step-by-step explanation:

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After solving the given expression the values for x will be equal to x = 1 and x = 13.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given information in the question,

The given equation is,

(x - 7)² = 36

x - 7 = √36

x = ±6

Then the values for x will be,

x1 = 6 + 7 = 17

x2 = -6 + 7 = -1

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Answer:

false

Step-by-step explanation:

A NORMAL distribution is a symmetrical probability distribution with a bell-shaped curve. It is also called a Gaussian distribution or a normal curve. This distribution is often used in statistics to represent a large number of natural phenomena, such as the distribution of height, weight, or IQ scores in a population.

The first deviation of a NORMAL distribution includes 68.2% of the data. This means that if we were to take a random sample of data from a normally distributed population, about 68.2% of the data would be within one standard deviation of the mean.

The second deviation includes 95.4% of the data. This means that about 95.4% of the data would be within two standard deviations of the mean.

The third deviation includes 99.7% of the data. This means that about 99.7% of the data would be within three standard deviations of the mean.

It is important to note that while these percentages hold true for a NORMAL distribution, they may not apply to other types of distributions.

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Answer:

Step-by-step explanation:

Given: 3x + 1 = x + 7

Firstly, 3x - x = 7 - 1

Then, 2x = 6

x = 6/2

x = 3

The Value of x is 3

Answer:

5.9 or 5.85 unrounded

Answer:

it is linear

Step-by-step explanation:

sorry if i'm late but i did it on khan

Answer:

it is 3

Step-by-step explanation:

the person who said -1 is completely is wrong

Answer:

−56

Step-by-step explanation:

Perform addition

\(- 14 - 38x + 14 -28x - 28x\)

Answer:

C

Step-by-step explanation:

Given

s = \(\frac{t+7s}{5}\) ← substitute s = - 2 into the equation

- 2 = \(\frac{t+7(-2)}{5}\) ( multiply both sides by 5 to clear the fraction

- 10 = t - 14 ( add 14 to both sides )

4 = t → C

The interest rate is 5%

Compound interest is the interest earned not only on the principal amount of a loan or investment, but also on any accumulated interest that has been added to the principal over time. In other words, it is interest that is earned on both the initial investment and on the interest earned in previous periods.

We know that for the compound interest;

A = P(1 + r/n)^nt

7193.58 = 6500(1 + r)^2

7193.58/6500 = (1 + r)^2

1.1 = (1 + r)^2

ln 1.1 = 2ln 1 + r

ln1.1/2 = ln 1 + r

0.048 = ln 1 + r

1 + r = e^0.048

r = 1.05 - 1

r = 0.05

r = 5%

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The standard deviation of X is approximately 1.715.

The standard deviation of a binomial distribution with parameters n and p is given by the formula:

σ = sqrt(np(1-p))

where

n is the sample size and

p is the probability of success.

In this case, n = 15 and p = 0.33, so we have:

σ = sqrt(15 * 0.33 * (1 - 0.33)) = 1.715 (rounded to three decimal places)

Therefore, the standard deviation of X is approximately 1.715.

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Answer:

\(m=\frac{-1}{2}\)

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug in the 2 coordinates into the slope formula to find slope m:

\(m=\frac{-3-(-1)}{2-(-2)}\)

\(m=\frac{-3+1}{2+2}\)

\(m=\frac{-2}{4}\)

\(m=\frac{-1}{2}\)

Answer:

3, 7

Step-by-step explanation:

3, 3, 3, 4, 4, 6, 7, 7, 7

3 and 7

Answer:

p∧q

Step-by-step explanation:

A conjunction is a compound statement formed by joining two statements with a mathematical "and"

We are using logic and the mathematical and is "∧"

p∧q  means p and q

Answer:

5x+2

Step-by-step explanation:

(9x+5)-(4x+3)

5x+2

Answer:

Srry but no loser

Step-by-step explanation:

Answer:

18 x 3 √ 7

Step-by-step explanation:

Answer:

94 ft

Step-by-step explanation:

Answer:

CE = 21.2

Step-by-step explanation:

CE = CD + DE = 14 + 7.2 = 21.2

For the given matrix A, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. The determinant det(A) is 68.

To find the minors of a matrix, we need to find the determinants of the submatrices obtained by removing the row and column corresponding to the element of interest. In this case, the minors M13, M23, and M33 correspond to the determinants of the 2x2 submatrices obtained by removing the first row and the third column, second row and third column, and third row and third column, respectively.

To find the cofactors, we multiply each minor by a positive or negative sign based on its position in the matrix. The signs alternate starting with a positive sign for the top left element. In this case, the cofactors C13, C23, and C33 correspond to the minors M13, M23, and M33 respectively.

Finally, the determinant of a 3x3 matrix can be found by using the formula det(A) = a11C11 + a12C12 + a13C13, where a11, a12, and a13 are the elements of the first row of the matrix and C11, C12, and C13 are their corresponding cofactors. In this case, the determinant det(A) is 68.

Therefore, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. And the determinant det(A) is 68.

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The solutions of the equation \(9x\)² - 16 = 0is 4/3 and -4/3 and that of the equation \((z - 2)^{2} - 36 = 0\) is 8 and -4.

Solving the both quadratic equations by extracting square roots:

\(9x^{2} - 16 = 0\)

⇒ \(9x^{2} = 16\)                                    

∴ On taking square-root of both sides, we get

\(\sqrt{9x^{2} }\) = \(\sqrt{16}\)

⇒ \(3x =\) \(+4\) and \(3x = -4\)

⇒ \(x\) = 4/3 and \(x\) = -4/3

For the equation, \((z - 2)^{2} - 36 = 0\), the solution is:

\((z - 2)^{2} - 36 = 0\)

⇒ \((z - 2)^{2} = 36\)

∴ On taking square-root of both sides, we get

\(\sqrt{(z - 2)^{2} } = \sqrt{36}\)

⇒ (z - 2) = 6 and (z - 2) = -6

⇒ z = 6 +2 and z = -6 + 2

⇒ z = 8 and z = -4

The solution of the equation \(9x^{2} - 16 = 0\) is 4/3 and -4/3.

The solution of the equation \((z - 2)^{2} - 36 = 0\) is 8 and -4.

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Out of 50 random samples of the same sample size taken from a population, we would expect approximately 45 of the intervals to contain the true population mean.

Confidence intervals are used to estimate population parameters based on sample statistics. The confidence interval is the range in which a population parameter, such as a population mean or proportion, is expected to fall within a certain level of confidence.

The level of confidence represents the percentage of all possible samples that will produce intervals that contain the true population parameter. The level of confidence is expressed as a percentage.

A 90% confidence interval means that 90% of all possible samples will produce intervals that contain the true population parameter.

The number of confidence intervals that will contain the true population mean depends on the level of confidence and the sample size. According to the Central Limit Theorem, the sample mean follows a normal distribution with mean µ and standard deviation σ/√n, where n is the sample size.

When the sample size is large, the sample mean will be normally distributed, even if the population distribution is not normal.

In general, when the sample size is large, the proportion of confidence intervals that contain the true population mean will approach the level of confidence.

For a 90% confidence level, approximately 90% of the intervals will contain the true population mean. Therefore, out of 50 random samples of the same sample size taken from a population, we would expect approximately 45 of the intervals to contain the true population mean.

Note that this is an approximation, as the proportion of intervals that contain the true population mean will vary from sample to sample due to random sampling. Therefore, the number of intervals that actually contain the true population mean may differ from the expected value.

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Answer:

18/18 = 1

Step-by-step explanation:

Answer:

-7

Step-by-step explanation: When a= 5, let's substitute all a's with 5 in the expression:

\(\frac{a^{2}-4 }{a+2}\\\frac{(-5)^{2}-4 }{-5+2}\\\\\frac{25-4}{-3}\\\frac{21}{-3} \\= -7\)

The correct option is c.Keep going.

Create a regression model and be able to optimize it, it is much better that all factors are on a scale. The answer is option c.Keep going.Regression analysis is an important statistical method that is commonly used in finance and other fields for prediction purposes. It is useful for finding the relationships between one dependent variable and one or more independent variables. In order to create an efficient regression model, the variables should be measured on a scale. Therefore, it is important to measure variables on a scale, as this makes it easier to create a regression model. If variables are categorical or binary, it becomes difficult to measure their relationship with the dependent variable using regression models as they are not measurable on a scale. This is why it is much better that all factors are on a scale while creating a regression model and optimizing it. Thus, the correct option is c.Keep going.

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Answer:

-385y

Step-by-step explanation:

This expression cannot be factored with rational numbers, so -385y is your answer.

The transfer function of a low pass filter is a mathematical expression that describes the relationship between the input and output signals of a filter.

Function is a rule that assigns a unique output for each input of a given set of inputs. A function can be expressed mathematically, as in y = f(x), where f is the function and x is the input. Functions can also be expressed in programming, where they take the form of commands that take an input and produce an output. Functions are essential to computing and are used to perform a wide variety of tasks.

It is usually expressed in terms of frequency, and the output signal is a function of the frequency of the input signal. The transfer function can be written as a ratio of two polynomials in the frequency domain.

In a low pass filter, the transfer function is designed to pass low-frequency signals and block high-frequency signals. This is achieved by designing the filter to attenuate (reduce) the amplitude of high-frequency signals, while not significantly affecting the amplitude of low-frequency signals. The transfer function of a low pass filter takes the form of a roll-off curve, where the rate of attenuation gets steeper at higher frequencies.

The transfer function of a low pass filter is typically used to model the behavior of a physical filter, such as an RC circuit or a digital filter. It can also be used to analyze the frequency response of a system, such as a speaker system or a microphone. The transfer function can be used to optimize the design of a filter for a particular application.

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The magnitude of the motional electromotive force (emf) induced in the rod can be determined using the equation e = B * L * v, where B is the magnetic field strength, L is the length of the rod, and v is the velocity of the rod relative to the magnetic field.

When a conducting rod moves through a magnetic field, an emf is induced in the rod due to the interaction between the magnetic field and the moving charges in the conductor. The magnitude of this motional emf can be calculated using the equation e = B * L * v, where B is the strength of the magnetic field, L is the length of the rod perpendicular to the magnetic field, and v is the velocity of the rod relative to the magnetic field.

The motional emf is directly proportional to the magnetic field strength, the length of the rod, and the velocity at which the rod moves through the magnetic field. As any of these parameters increase, the magnitude of the induced emf will also increase. It is important to note that the direction of the induced emf is determined by the direction of the velocity and the magnetic field.

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