in a sample of n lichen​ specimens, the researchers found the mean and standard deviation of the amount of the radioactive​ element, cesium-137, that was present to be and microcurie per​ milliliter, respectively. suppose the researchers want to increase the sample size in order to estimate the mean to within microcurie per milliliter of its true​ value, using a​ 95% confidence interval. complete parts a through c.

Answer:

D. 4x²-3x

Step-by-step explanation:

If the side is 2x-3 you multiply both numbers by themselves. 2x times 2x = 4x^2 and 3 times 3 is nine

Hope this helps :)

I am also in Algebra 1 as a darn 7th grader

Answer:x − x^{2} − 1.

Step-by-step explanation:

.

The iterated integral by changing to cylindrical coordinates 2 −2 4 −4 √16 − x2 (x2 y2)3/2 dy dx dz −√16 − x2 is 128π.

To evaluate the iterated integral using cylindrical coordinates, first, we need to change the given rectangular coordinates (x, y, z) to cylindrical coordinates (ρ, φ, z). In cylindrical coordinates, x = ρcosφ, y = ρsinφ, and z = z. The Jacobian for the transformation is |J| = ρ. The given integral can be rewritten as:

∫(φ=0 to 2π) ∫(ρ=0 to 4) ∫(z=-√16-ρ² to √16-ρ²) (ρ²)³/2 * ρ dz dρ dφ

Now, we can evaluate the integral step by step:

1. Integrate with respect to z:

∫(φ=0 to 2π) ∫(ρ=0 to 4) [(z * ρ³) | (z = -√16-ρ²) to (z = √16-ρ²)] dρ dφ

2. Integrate with respect to ρ:

∫(φ=0 to 2π) [(1/4 * ρ⁴) | (ρ = 0) to (ρ = 4)] dφ

3. Integrate with respect to φ:

[(1/4 * 4⁴) * (φ | φ=0 to 2π)] = (256/4) * 2π = 128π

So the value of the iterated integral in cylindrical coordinates is 128π.

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Answer:

Below

Step-by-step explanation:

●(xy)^(-1)

● x^(-1) * y^(-1)

● (1/x)*(1/y)

● 1/xy

Answer: To determine the correct statement, you need to find a pattern in the values of D(t). You can do this by finding the difference between consecutive values of D(t).

The difference between -60 and 0 is 60.

The difference between 0 and 10 is 10.

The difference between 10 and 90 is 80.

The difference between 90 and 100 is 10.

The difference between 100 and 130 is 30.

The difference between 130 and 150 is 20.

The pattern that emerges is that the difference between consecutive values of D(t) is always 25. This means that the correct statement is "The function is D(t)=25t−60". The correct answer is therefore d.

Step-by-step explanation:

The hypothesis is called the alternative hypothesis test.

According to the statement

We have to explain about the alternative hypothesis.

So, For this purpose, we know that the

The alternative hypothesis is one among ll|one amongst |one in every of} two mutually exclusive hypotheses in a hypothesis test. the choice hypothesis states that a population parameter doesn't equal a specified value.

From the given information:

she randomly selects houses during this neighborhood and compares their estimated market price within the current year to their estimated value within the previous year. suppose that data were collected for a random sample of 8 houses, where each difference is calculated by subtracting the market price of the previous year from the value of the present year.

Then

the alternative hypothesis test usually suggests that there's an opportunity of variation (difference) within the data observed.

Hence, since we are told the "real real estate agent believes that the values of homes within the neighborhood she works in have increased (the chance of variation) from last year," which "each difference is calculated by subtracting the market price of the previous year from the market price of this year," we are able to reach the conclusion that this can be an example of an alternate hypothesis test.

So, The hypothesis is called the alternative hypothesis test.

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Using proportions, the number of pounds that will be needed for a single serving is: one and three seventh pounds.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The number of pounds for 3 people is given by:

\(3 \frac{3}{7} = 3 + \frac{3}{7} = \frac{24}{7}\)

Hence, for one person, the number of pounds can be divided by three(multiplied by 1/3), hence:

\(\frac{24}{7} \times \frac{1}{3} = \frac{24}{21}\)

24 divided by 21 has a quotient of 1 and remainder of 3, hence as a mixed number, the amount is:

one and three seventh pounds.

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Answer:

Step-by-step explanation:

the awnser is cerrot.

(a) The value of g (0) is 7.

(b) The value of g (3) is -2.

(c) The value of g (s + 2) is (1 - 3s).

Here,

The function is;

⇒ g (y) = 7 - 3y

We have to find the value of  g(0), g(3) and g(s + 2).

What is function?

A function is defined as a relation between a set of inputs having one output each.

Now,

The function is;

g (y) = 7 - 3y

(a) To find g (0), we put y = 0;

 ⇒  g (0) = 7 - 3 * 0 = 7 - 0 = 7

Hence, The value of g (0) is 7.

(b) To find g (3), we put y = 3;

⇒ g (3) = 7 - 3 *3 = 7 - 9 = -2

Hence, The value of g (3) is -2.

(c) To find g (s + 2), we put y = s + 2;

⇒  g (s + 2) = 7 - 3 (s + 2) = 7 - 3s - 6 = 1 - 3s

Hence, The value of g (s + 2) is (1 - 3s).

Therefore,

(a) The value of g (0) is 7.

(b) The value of g (3) is -2.

(c) The value of g (s + 2) is (1 - 3s).

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We can see that the sequence  1, 3, 9, 27 is not arithmetic.

An arithmetic sequence is a sequence where the difference between any pair of consecutive terms is a constant knowed as the common difference d.

Generally, the recursive relation for these sequences is:

a(n) = a(n - 1) + d

Here we have the sequence:

1, 3, 9, 27, ...

Taking the differences between consecutive terms of the sequence we get:

3 - 1 = 2

9 - 3 = 6

27 - 9 = 18

The differences are different, so there  is no common difference, meaning that this sequence is not arithmetic.

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To reduce the following matrix into a reduced echelon form:$$\begin{bmatrix}1 & 1 & -4 & 1 \\1 & 0 & 1 & 2 \\8a & 5 & a^2 & 23a-9\end{bmatrix}$$As given, we need to transform this matrix into row echelon form. And, then into the reduced row echelon form.

The given matrix is:$$\begin{bmatrix}1 & 1 & -4 & 1 \\1 & 0 & 1 & 2 \\8a & 5 & a^2 & 23a-9\end{bmatrix}$$The first step is to convert the matrix into an echelon form:

We will use row operations to do so, we will start with $R_2 - R_1$ and replace $R_2$ with the result.$$ \begin

{bmatrix}1 & 1 & -4 & 1 \\0 & -1 & 5 & 1 \\8a & 5 & a^2 & 23a-9\end{bmatrix}$$The next step will be to change the first column of the matrix to zeros.

For this, we will perform $R_3 - 8aR_1$.$$ \begin{bmatrix}1 & 1 & -4 & 1 \\0 & -1 & 5 & 1 \\0 & -3a & a^2+32a & -9-184a\end{bmatrix}$$Then we will do $R_3 - 3aR_2$.$$ \begin{bmatrix}1 & 1 & -4 & 1 \\0 & -1 & 5 & 1 \\0 & 0 & -7a^2+47a-9 & -9-56a\end{bmatrix}$$At this point, we cannot change the first entry of the third row to 1 without breaking the echelon form of the matrix. Therefore, we will first swap the rows of the matrix, i.e., $R_2$ and $R_3$. The new matrix is:$$ \begin{bmatrix}1 & 1 & -4 & 1 \\0 & 0 & -7a^2+47a-9 & -9-56a \\0 & -1 & 5 & 1 \end{bmatrix}$$

Now, we will change the second column to zeros. For this, we will do $R_1 - R_2$ and replace $R_1$

with the result.$$ \begin{bmatrix}1 & 1 & 0 & 10+56a-7a^2 \\0 & 0

& -7a^2+47a-9 & -9-56a \\0 & -1 & 5 & 1 \end{bmatrix}$$

We can transform this matrix into a reduced row echelon form by dividing the first row by $1+7a-56a^2$.$$ \begin{bmatrix}1 & 1 & 0 & \frac{10+56a-7a^2}{1+7a-56a^2} \\0 & 0 & 1 & \frac{56a-47}{7a^2-47a+9} \\0 & -1 & 0 & \frac{5(7a-4)}{7a^2-47a+9} \end{bmatrix}$$

Then we transformed this matrix into the reduced echelon form, which is:$$\begin{bmatrix}1 & 1 & 0 & \frac{10+56a-7a^2}{1+7a-56a^2} \\0 & 0 & 1 & \frac{56a-47}{7a^2-47a+9} \\0 & -1 & 0 & \frac{5(7a-4)}{7a^2-47a+9} \end{bmatrix}$$

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Answer:

Step-by-step explanation:

43

Answer:

85 Turkey sandwiches

Step-by-step explanation:

85% of 100 is 85

That means that the remaining 15% or 15 sandwiches that were made were ham.

The vertical difference between a stair tread nosing and any structure or ceiling above the stairway is known as the "headroom" or "clearance."

Headroom refers to the vertical space between the nosing of a stair tread (the front edge of the step) and any overhead structure or ceiling above the staircase. It is an important consideration in stair design to ensure safe and comfortable passage for individuals using the stairs.

Sufficient headroom allows people to navigate the staircase without bumping their heads or feeling confined. Building codes typically specify minimum headroom requirements to ensure safety and to prevent accidents. Adequate headroom is essential to provide a clear and unobstructed pathway for individuals moving up or down the stairs.

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Answer:

6

Step-by-step explanation:

391/23=17 per hour

102/17=6 Hours

So he would have to work 6 hours to earn $102.00.

Answer:

wrong

Step-by-step explanation:

10 /5 = 2

5/10 = 0.5

Answer:

A. y = -2x - 3

Step-by-step explanation:

y-5= -2(x + 4)

Expand the brackets.

y - 5 = -2x - 8

Add 5 to both sides.

y = -2x - 8 + 5

y = -2x - 3

Answer:

-1/24

Step-by-step explanation:

Plug in X and W

5/8 - 4/3 - 2/3.

Combine like terms.

5/8 - 2/3.

Solve.

-1/24

Answer:

- 2 1/10

Step-by-step explanation:

Around 1950, family sociologists described a standard marriage pattern at about age 20 for women and age a) 22 for men.

The standard marriage pattern today, based on the time a couple marries, is mid-to-late twenties.  Some marriages are contracted very late, with some in the forties.

Sociologists have pointed out that the current delay in marriages is caused by the higher priority placed on education and career by youths.

However, marriage patterns based on the type of arrangement include:

Traditionally, marriages have served two societal purposes:

Thus, around 1950, family sociologists described a standard marriage pattern at about age 20 for women and age  22 for men.

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The 98% confidence interval for the true mean noise level is approximately (55.9, 57.1).

To find the 98% confidence interval for the true mean noise level, we can use the formula:

CI = mean ± Z * (σ / sqrt(n))

Where:

CI is the confidence interval,

mean is the sample mean,

Z is the z-score corresponding to the desired confidence level,

σ is the population standard deviation,

n is the sample size.

In this case, we have:

mean = 56.5 (sample mean)

σ = 3.5 (population standard deviation)

n = 180 (sample size)

Confidence level = 98%

First, we need to find the z-score corresponding to a 98% confidence level. The remaining 2% is split equally between the two tails of the distribution, so we have 1% in each tail. We can find the z-score using a standard normal distribution table or a graphing calculator. For a 98% confidence level, the z-score is approximately 2.33.

Now we can calculate the confidence interval:

CI = 56.5 ± 2.33 * (3.5 / sqrt(180))

CI = 56.5 ± 2.33 * (3.5 / 13.416)

CI = 56.5 ± 2.33 * 0.261

CI = 56.5 ± 0.607

CI ≈ (55.9, 57.1)

Therefore, the 98% confidence interval for the true mean noise level is approximately (55.9, 57.1).

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Answer:

D is eliminated as it goes down to 4, if counted by 1. The answer is B. y= 1/2x² – 4

Answer:

\(y2 - y1 \div x2 - x1 = - 6 - 5 \div 3 + 8 = - 1\)

Answer:

-1

Step-by-step explanation:

\(slope \: of \: the \: line has \: the \: formular \\ \frac{y2 - y1}{x2 - x2} \\ from \: the question, \: \: x1 = - 8 \: \: y1 = 5 \: \: \\ x2 = 3 \: \: y2 = - 6 \\ slope = \frac{ - 6 - 5}{3 - - 8} \\ slope = \frac{ - 11}{11} \\ sope = - 1\)

The value of the expression 6 + 0.3k - 4m at k = 20 and m = -2 is 20.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 6 + 0.3k - 4m, The value of the expression can be obtained at k = 20 and m = - 2 if we simply replace this numerical values of k and m which is,

= 6 + (0.3)×20 - 4(-2).

= 6 + 6 + 8.

= 20.

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We can solve the Inequalities by Isolating the variables that are present in the given Inequality.

In mathematics, an inequality is a connection between two values or mathematical equations that results in an unequal comparison.

The signs that we use in Inequalities are less than( < ), less than or equal to ( ≤ ), greater than ( > ), greater than or equal to ( ≥ ), and not equal to (≠) sign.

Lets us consider we have inequality 3x + 2 + x ≥ 10

We can solve the above inequality as given below

Here we will solve the inequality by Isolating the variable  

Step - 1

Add x term and constant terms

=> 4x + 2 ≥ 10   [ here 3x + x = 4x ]

Step - 2  

Bring out x terms at one side, and constant terms at another side by doing required operations like adding

=> 4x + 2 ≥ 10    [ here we will subtract 2 from both sides ]

=> 4x + 2 - 2  ≥ 10 - 2

=> 4x  ≥ 8  

Step - 3

Now isolate the variable to get the solution

=>  4x/4  ≥ 8/4         [ here divided by 4 ]

=> x  ≥ 2  

Therefore, the required solution is x ≥ 2    

Therefore,

We can solve the Inequalities by Isolating the variables that are present in the given Inequality.

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Answer: Yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

422 because 434 - 12. Also , deceased mean make or become smaller or fewer in size, amount, intensity, or degree.

Answer:

x = 3

Step-by-step explanation:

4 ( x - 7 ) = -6x + 12

→ Expand brackets

4x - 28 = -6x + 12

→ Add 6x to both sides

10x - 28 = 12

→ Add 28 to both sides

10x = 30

→ Divide both sides by 10

x = 3

Christina finished 5/8 of her dinner.

Did she finish more than 1/2 of her dinner?

Explain.​

Solution

Yes, she finished more than 1/2 of her dinner, because

5/ 8 = 0.625 is greater than 1/ 2 = 0. 5

More Explanation

5/ 8 in decimal = 0 . 625

1/ 2 in decimal = 0 . 5

Comparing the two: 0.625 ( 5/ 8 ) is greater than 0. 5 ( 1/ 2 )

Using trigonometric functions, we can  find a side length of a right triangle with an angle and a side.

Trigonometric ratios are the ratios of a right triangle's sides. The sine (sin), cosine (cos), and tangent (tan) are three often used trigonometric ratios. There are other trigonometric ratios which are reciprocals of these ratios.

Trigonometric ratios can be computed either using the provided acute angle or by calculating the ratios of the right-angled triangle's sides.

You can determine the hypotenuse by dividing the length of the side by sin(θ) if you have an angle and the side opposite to it. Alternatively, to find the length of the side next to the angle, divide the length by tan(θ).

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