I would like some assistance. Please, no downloadable virus links. I just need, a direct answer. Thanks.

Two- tailed t- test, determined the 97.5% confidence level for p-value less than a significance level of 5%. So, researcher claims with 95% confidence that wearing earplugs will reduce the chance of hearing loss is also correct.

We have specify that a researcher wants to support the claim that wearing earplugs will reduce the chance of hearing loss.

Significance level= 5% = 0.05

P-value< 0.05

Now, the p-value for a two tailed test is computed by = 2× Area of the lower tail on one side. Here, P-value< 0.05, therefore Area of the lower tail on one side < 0.05 / 2

=> p-value for a one tailed test < 0.025

that represents the 97.5% confidence level. So, the researcher can actually claim here even at 97.5% confidence level that wearing earplugs will reduce the chance of hearing loss but even concluding at any confidence level less than 97.5% would be correct. Therefore the researcher is not incorrect in concluding here the given concluion at 95% confidence level.

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No, letters sent to the editor of a newspaper do not represent a random sample of the population and therefore may not be an accurate representation of public opinion as a whole.

There are several reasons why these letters may not be considered a random sample:

Self-selection bias: Letters to the editor are typically submitted by individuals who have strong opinions or feel strongly about a particular issue.

Limited sample size: The number of letters received by the newspaper may be limited, and the published letters may only represent a small fraction of the total submissions.

Demographic bias: The subset of individuals who choose to write letters to the editor may not be demographically diverse or representative of the entire population.

To obtain a more accurate understanding of public opinion on the tax hike, it would be necessary to use more rigorous and scientifically valid methods such as random sampling surveys or public opinion polls that strive to include a representative sample of the population.

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Answer:

3u-15

Step-by-step explanation:

3(u-5)

Just multiply 3 by both of the numbers inside the parentheses and we get: 3u-15

Answer:

Distributive property:

a(b-c)=ab-ac

\(3(u - 5) = \boxed{3u - 15}✓\)

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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a) The value of z corresponding to an area of 0.1210 can be found using statistical tables or a statistical calculator.

b) Similarly, the value of z corresponding to an area of 0.9898 can be obtained using statistical tables or a statistical calculator.

c) To find the value of z at the 45th percentile, we can use the standard normal distribution table or a statistical calculator.

a) To find the value of z corresponding to an area of 0.1210, you can use a standard normal distribution table or a statistical calculator. By looking up the area of 0.1210 in the table, you can determine the corresponding z-value. For example, if you find that the z-value for an area of 0.1210 is -1.15, then -1.15 is the value of z corresponding to the given area.

b) Similarly, to find the value of z corresponding to an area of 0.9898, you can refer to a standard normal distribution table or use a statistical calculator. Find the z-value that corresponds to the area of 0.9898. For instance, if the z-value for an area of 0.9898 is 2.32, then 2.32 is the value of z corresponding to the given area.

c) To find the value of z at the 45th percentile, you can use a standard normal distribution table or a statistical calculator. The 45th percentile corresponds to an area of 0.4500. By finding the z-value for an area of 0.4500, you can determine the value of z at the 45th percentile. For example, if the z-value for an area of 0.4500 is 0.125, then 0.125 is the value of z at the 45th percentile.

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Iyell will save $7.68 on a classical music CD that has a price of $23.99.

Off means in market - The actual price of the objects/things will be different from the marked price.

Coupon means in market - The actual price of the objects/things will get reduced after applying the coupon.

For example:

1. 20% off on $60.

so, the price of $60 will get reduced by 20%

20% of $60 = ( 20x60 ) /100 = $12

actual price will be $60 - $12 = $48

Here, we have given that the marked price of CD is $23.99

First the 15% off sale will apply on the CD

15% of $23.99 = (15 x 23.99 ) / 100 = $3.5985

now, the price of CD will become, $23.99 - $3.5985 = $20.3915

now, to get maximum discount Iyell will apply the coupon for 20% extra off.

20% of $20.3915 = $4.0783

then, the actual price of CD will become, $20.3915 - $4.0783 = $16.3132

Iyell have save $4.0783 + $3.5985 = $7.68

Hence, Iyell will save $7.68 on a classical music CD that has a price of $23.99.

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Answer:

225

Step-by-step explanation:

(20*30/2) - (15*10/2)

300 - 75 = 225

Answer:

The arc length of a sector:

\(A = \frac{9}{10} \pi\)

Step-by-step explanation:

-The equation for finding the Arc length, would be:

\(Arc length = \frac{a}{360\textdegree} 2\pi r\)

-Use the given radius and the central angle for the equation:

\(A = \frac{18\textdegree}{360\textdegree} 2\pi (9)\)

-Then, solve the equation:

\(A = \frac{18\textdegree}{360\textdegree} \times 2\pi \times 9\)

\(A = \frac{1}{20} \times 2\pi \times 9\)

\(A = \frac{2}{20}\pi \times 9\)

\(A = \frac{1}{10}\pi \times 9\)

\(A = \frac{9}{10}\pi\)

So, the arc length of a sector is \(\frac{9}{10} \pi\) .

Answer:

-1

Step-by-step explanation:

Follow the example below and Good Luck!!!

Answer:

  -6/5

Step-by-step explanation:

The slope of the line is the ratio of "rise" to "run". That is, it is the ratio of the vertical change between two points to the horizontal change between those points.

__

Here, two points are marked, (-1, 2) and (4, -4). Either by counting grid squares or by subtracting coordinates, we find the vertical change (rise) from the first point to the second to be (-4 -2) = -6 units. The horizontal change (run) from the first point to the second is (4 -(-1)) = 5.

The slope is the ratio of these values:

  slope = rise/run = -6/5

\(9 - 3(x + 2) \\ 9 - 3 x - 6\\3-3x\)

\( - 7(3x - 4) \\ - 7 \times 3x - 7 \times ( - 4) \\ - 21x - 7 \times ( - 4) \\ - 21x + 28\)

\(7(9n - 3) \\ 7 \times 9n - 7 \times 3 \\ 63n - 21\)

\(6(4y - 5) + 6 \\ 6 \times 4y - 6 \times 5 + 6 \\ 24y - 30 + 6 \\ 24y - 24\)

The assumptions necessary for confidence interval 90% with population mean salary  μ turns out to be (1000, 2100) this interval is based on sample size 25 is given by option C) The population must have an approximately normal distribution.

For a confidence interval to be valid, it is necessary to make certain assumptions about the population and the sample.

Here, the assumptions necessary for a valid 90% confidence interval based on a sample of size n = 25 are,

Random sampling,

The sample should be a random sample from the population.

That every member of the population has an equal chance of being selected.

Independence,

The sample observations should be independent of each other.

The value of one observation does not affect the value of another observation.

Normality,

The population of salaries must have an approximately normal distribution.

This assumption is necessary because the confidence interval is based on the Central Limit Theorem.

Which states that the sampling distribution of the sample mean is approximately normal.

Provided that the sample size is large enough and the population distribution is approximately normal.

Sample size,

The sample size should be large enough to ensure that the sampling distribution of the sample mean is approximately normal.

In general, a sample size of 25 is considered sufficient to meet this requirement.

Option A is incorrect because it describes an assumption necessary for the validity of a confidence interval based on the Central Limit Theorem.

Option B is incorrect because the population is assumed to have a normal distribution, not an approximate t-distribution.

Option D is incorrect because it describes a biased sample distribution.

Which would invalidate the results of any statistical analysis based on the sample.

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The area of a parallelogram is simply its base (6.1 miles) multiplied by its height (2.6 miles).

Substitute the values into the formula for area.

\(A=6.1\cdot2.6\)

Multiply.

\(A=\boxed{15.86}\)

Note that the answer is given in square miles (\(\text{mi}^2\)) since both of the measurements used are in miles.

The factor that provides the basis for the grading of newly diagnosed malignant tumours is degree of differentiation.

The level of differentiation impacts an individual's capacity to control their emotions, thoughts, individuality, and connections to others. The degree of any differential equation can be obtained when it is expressed as a polynomial; otherwise, the degree cannot be defined.

The mechanisms by which immature cells develop into mature cells with particular roles are described in biology. This indicates the degree to which tumour tissue resembles the healthy tissue from which it originated in the context of cancer. Compared to poorly or undifferentiated cancer cells, well-differentiated cancer cells resemble normal cells more and grow and spread more slowly. Tumour grading systems, which vary for each form of cancer, use differentiation.

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The level of confidence, variability estimates, and sample size can help determine the accuracy (sample error) and estimate the costs of the sample.

Explanation: The level of confidence (e.g., 95%) indicates the probability that the sample accurately represents the population. It determines the range within which the population parameter is estimated. The variability estimates, such as the standard deviation or variance, provide information about the spread of the data. By combining the level of confidence, variability estimates, and sample size, one can estimate the accuracy or sample error, which represents how closely the sample statistics reflect the population parameters.

Determining the costs of the sample involves factors beyond the provided information, such as data collection methods, analysis procedures, and logistical considerations. The representativeness of the sample depends on the sampling method used and how well it captures the characteristics of the target population.

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Answer:

True

Step-by-step explanation:

Real Numbers are just numbers like:

1 12.38 −0.8625  34  π (pi) 198

In fact:

Nearly any number you can think of is a Real Number

Real Numbers include:

yes   Whole Numbers (like 0, 1, 2, 3, 4, etc)

yes   Rational Numbers (like 3/4, 0.125, 0.333..., 1.1, etc )

yes   Irrational Numbers (like π, √2, etc )

Real Numbers can also be positive, negative or zero.

So ... what is NOT a Real Number?

not   Imaginary Numbers like √−1 (the square root of minus 1)

are not Real Numbers

not   Infinity is not a Real Number

Mathematicians also play with some special numbers that aren't Real Numbers.

Real numbers can be represented on a number line.

The values of "a" for which the system has:

- No solutions: a ≠ -9

- A unique solution: a ≠ -9 and det(A) ≠ 0 (24a + 216 ≠ 0)

- Infinitely many solutions: a = -9

If "a" is not equal to -9, the system will either have a unique solution or no solution, depending on the value of det(A). If "a" is equal to -9, the system will have infinitely many solutions.

To determine the values of "a" for which the given system of linear equations has no solutions, a unique solution, or infinitely many solutions, we can use the concept of determinant.

The given system of equations can be written in matrix form as:

A * X = 0

where A is the coefficient matrix and X is the column vector of variables [x1, x2, x3].

The coefficient matrix A is:

| 2  -6  -2 |

| a   9   5  |

| 3  -9  -1 |

To analyze the solutions, we can examine the determinant of matrix A.

If det(A) ≠ 0, the system has a unique solution.

If det(A) = 0 and the system is consistent (i.e., there are no contradictory equations), the system has infinitely many solutions.

If det(A) = 0 and the system is inconsistent (i.e., there are contradictory equations), the system has no solutions.

Now, let's calculate the determinant of matrix A:

det(A) = 2(9(-1) - 5(-9)) - (-6)(a(-1) - 5(3)) + (-2)(a(-9) - 9(3))

      = 2(-9 + 45) - (-6)(-a - 15) + (-2)(-9a - 27)

      = 2(36) + 6a + 90 + 18a + 54

      = 72 + 24a + 144

      = 24a + 216

For the system to have:

- No solutions, det(A) must be equal to zero (det(A) = 0) and a ≠ -9.

- A unique solution, det(A) must be nonzero (det(A) ≠ 0).

- Infinitely many solutions, det(A) must be equal to zero (det(A) = 0) and a = -9.

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The original expression \($\frac{2}{\sqrt[3]{4} \sqrt[3]{32}}$\) was rationalized by multiplying both numerator and denominator by \($\sqrt[3]{4} \sqrt[3]{2}$\), and then dividing numerator and denominator by \($\sqrt[3]{4}$\).

\($\frac{2}{\sqrt[3]{4} \sqrt[3]{32}} = \frac{\sqrt[3]{8}}{4}$\)

Minimum possible value of \($ab = 32$\)

\(= \frac{\sqrt[3]{4} \sqrt[3]{8}}{\sqrt[3]{4} \sqrt[3]{4} \sqrt[3]{2}}$= \frac{\sqrt[3]{8}}{\sqrt[3]{4} \sqrt[3]{2}}$= \frac{\sqrt[3]{8}}{4}$\)

We start with the given expression, \($\frac{2}{\sqrt[3]{4} \sqrt[3]{32}}$\), which is in the form \($\frac{p}{qr}$\). To rationalize the denominator, we need to multiply both numerator and denominator by qr (which is \($\sqrt[3]{4} \sqrt[3]{2}$\) in this case). This gives us\($\frac{\sqrt[3]{4} \sqrt[3]{8}}{\sqrt[3]{4} \sqrt[3]{4} \sqrt[3]{2}}$\). We can simplify this expression further by dividing both numerator and denominator by \($\sqrt[3]{4}$\), giving us \($\frac{\sqrt[3]{8}}{\sqrt[3]{2} \sqrt[3]{4}}$\). Finally, we can simplify the denominator further by multiplying both numerator and denominator by \($\sqrt[3]{2}$\), giving us the final result of \($\frac{\sqrt[3]{8}}{4}$\). The minimum possible value of ab is 32.

The original expression \($\frac{2}{\sqrt[3]{4} \sqrt[3]{32}}$\) was rationalized by multiplying both numerator and denominator by \($\sqrt[3]{4} \sqrt[3]{2}$\), and then dividing numerator and denominator by \($\sqrt[3]{4}$\). The final result was\($\frac{\sqrt[3]{8}}{4}$\), and the minimum possible value of ab was 32.

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The 7th term of the series 11, 22, 44 , .. is, 704.

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The series is,

⇒ 11, 22, 44, ...

Now, The common ratio is,

⇒ 22/11  = 2

⇒ 44/22 = 2

Hence, The series is in geometric sequence.

Thus, The nth term of geometric sequence is,

⇒ a(n) = a rⁿ⁻¹

Where, 'a' is first term and 'r' is common ratio.

Hence, The 7th term of the series 11, 22, 44 , .. is,

⇒ a(n) = a rⁿ⁻¹

⇒ a(7) = 11 × 2⁷⁻¹

⇒ a(7) = 11 × 2⁶

⇒ a (7) = 11 × 64

⇒ a (7) = 704

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Answer:

\((1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8\)

Step-by-step explanation:

Given

\((1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)\)

Required

Solve

We have:

\((1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)\)

Collect like terms

\(1.3t^3 + 0.6t^2 + 0.4t^2 - 24t- 18t + 8\)

\(1.3t^3 + t^2 -42t + 8\)

So:

\((1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8\)

Answer:

look at pic

Step-by-step explanation:

The value of 'n' is approximately 4.0896.

To calculate the value of 'n' in the equation 134n = 548, we can isolate 'n' by dividing both sides of the equation by 134.

134n = 548

Dividing both sides by 134:

n = 548 / 134

Evaluating the division:

n ≈ 4.0896

Therefore, the value of 'n' is approximately 4.0896.

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Complete Question:

If 134n = 548, calculate n​.

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

4x + 5y = - 45 ( subtract 4x from both sides )

5y = - 4x - 45 ( divide terms by 5 )

y = - \(\frac{4}{5}\) x - 9 ← in slope- intercept form

with slope m = - \(\frac{4}{5}\)

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{4}{5} }\) = \(\frac{5}{4}\) , then

y = \(\frac{5}{4}\) x + c ← is the partial equation

To find c substitute (- 4, - 11 ) into the partial equation

- 11 = - 5 + c ⇒ c = - 11 + 5 = - 6

y = \(\frac{5}{4}\) x - 6 → B

Answer:

y=5/4x-6

Step-by-step explanation:

4x + 5y = -45 (this is to be perpendicular to the line)

m=5/4 (where m is the gradient of the line)

Write the formula for equation of a line, we have;

y=mx + b

substituting this

y=mx + b

m=5/4, (-4, -11)

substituting

y=mx + b, we have;

-11=5/4 × (-4) + b

solving the equation, we have;

-11=5/4 × (-4) + b

we have;

-11= -5 + b (this is gotten by cancellation of 4 by itself in this -11=5/4 × (-4) + b)

rearrange the unknown term to the left side of the equation:

-11= -5 + b

we have;

-b= -5 + 11 (b is minus because when it cross of the equality sign it (+ sign)changes to (- sign)

-b= -5 + 11,

given us;

-b=6

substituting

y=mx + b

m=5/4 ,b= -6

therefore, y=mx + b

y=5/4x - c

Given ~

\( \: \)

\(\tt \: g(x) = - 5x - 5\)

\( \: \)

Now , put the value of x.

x = 1

\( \tt \: g(1) = - 5(1) - 5\)

\( \: \)

\(\tt \: g(1) = - 5-5\)

\( \: \)

\( \underline{\boxed{ \red{\tt \: g(1) = - 10}}}{\green✓}\)

\( \: \)

hope helps ~

The value of g(1) in the function g(x) = - 5x - 5 is - 10.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function  g(x) = -5x - 5.

Now to obtain the value of g(1) we'll simply replace x with 1.

∴ g(1) = - 5(1) - 5.

g(1) = - 5 - 5.

g(1) = - 10.

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Answer:

Answer is 9,49,169

Step-by-step explanation:

I hope it's helpful!

Have a nice day!

When x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

In the given question, we have to find what is remainder when x^3+2x^2+x+1 is divided by (x+1).

To find the remainder there are two ways. First we divide the x^3+2x^2+x+1 by (x+1). Second we find the value of from (x+1) by equating (x+1) equal to zero. The put the value of x in the expression x^3+2x^2+x+1.

In this we ca easily find the remainder.

Now we firstly find the value of x;

(x+1) = 0

Subtract 1 on both side we get;

x= −1

Now put x= -1 in the expression x^3+2x^2+x+1.

x^3+2x^2+x+1 = (−1)^3+2(−1)^2+(−1)+1

x^3+2x^2+x+1 = −1+2−1+1

x^3+2x^2+x+1 = 1

Hence, when x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

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The right question is:

What is remainder when x^3+2x^2+x+1 is divided by (x+1)?

The solution to the simultaneous equation is x = -1/2 and y = √71 / 2

What is a Linear Expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1.

For example, t² is a variable raised to the second power, but t is a variable raised to the first power.

x² + y² = 18 ----- 1

x + 2 = - 3x ---- 2

From equation 2

x + 2 = - 3x

x + 3x = -2

4x = -2

x = -2/4

x = -1/2

Substitute x in equation 1

(-1/2)² + y² = 18

1/4 + y² = 18

y² = 18 - 1/4

y² = (72 - 1)/4

y² = 71/4

y = √71 / 2

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Answer:

The

number is at most 32

Step-by-step explanation:

At most 50 means less than or equal to

Let the number be x

2x - 14 ≤ 50

2x ≤ 50 + 14

2x ≤ 64

x ≤ 64/2

x ≤ 32