Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!

When two solids are similar, their corresponding dimensions (such as height, length, and width) are proportional. This means that the ratio of any corresponding dimensions in the two solids will be the same. Therefore, the ratio of the volume of solid A to the volume of solid B will be equal to the cube of the ratio of their corresponding dimensions. Answer : the ratio 343/27

1. Given that the ratio of the height of solid A to the height of solid B is 7:3, we can express it as a proportion: (height of A) / (height of B) = 7/3.

2. Since the volumes of similar solids are proportional to the cube of their corresponding dimensions, we can square the ratio of heights to find the ratio of volumes: (volume of A) / (volume of B) = (height of A)^3 / (height of B)^3.

3. Substitute the given ratio of heights: (volume of A) / (volume of B) = (7/3)^3.

4. Simplify the expression: (volume of A) / (volume of B) = 343/27.

5. The ratio of the volume of solid A to the volume of solid B is 343/27, which cannot be further simplified.

6. Compare the ratio 343/27 to the options provided and select the option that matches.

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The average rate of change in h(t) is 6.

It is a measure of how much the function changed per unit, on average, over that interval.

h(t) = 3 + 70t - 16t²

Average rate of change

At t = 1 second

h(1) = 3 + 70(1) - 16(1)^2

h(1) = 57

At t = 3 second

h(3) = 3 + 70(3) - 16(3)^2

h(3) = 69

Average rate of change = Δh / Δt

=[h(3) - h(1)] / (3 - 1)

= (69 - 57) / 2

= 12 / 2

= 6.

Hence, the rate of change is 6.

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The formula to calculate the standard deviation (σ) of a binomial distribution is σ = √[n * p * (1 - p)] where n is the number of trials and p is the probability of success in each trial.

Substituting the given values, we get:

σ = √[10 * 0.70 * (1 - 0.70)]

σ = √[10 * 0.70 * 0.30]

σ = √2.1

σ ≈ 1.45

Therefore, the standard deviation of the binomial distribution with n = 10 and p = 0.70 is approximately 1.45.

Hence, the answer is 1.45.

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The maximum number of actions from a state in the 8-puzzle is four. It is possible to have multiple valid solutions from a given initial state in the 8-puzzle.

The maximum number of actions from a state in the 8-puzzle is four. In each state, the blank tile can move in up to four directions: up, down, left, and right.

Regarding the possibility of having multiple solutions from a given initial state in the 8-puzzle, the answer is yes. The 8-puzzle is a classic problem with multiple valid solutions. Different sequences of moves can lead to reaching the goal state from a given initial state. These solutions may vary in the number of moves required and the specific sequence of actions taken. Therefore, it is possible to have multiple valid solutions from a given initial state in the 8-puzzle.

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Answer:

Step-by-step explanation:

Slope = rise/ run, or y∨2 - y∨1/ x∨2 - x∨1

5-10/ 1-2 =

-5/-1 = 5

The slope of the line drawn from the given data is 5.

A line's steepness can be determined by looking at its slope. The slope is calculated mathematically as "rise over run" (change in y divided by change in x).

Given this, Latrell fills his bottle with one ounce of water in five seconds. The amount of water Latrell puts in his water bottle (in ounces), x, and the time (in seconds) it takes to get that amount, y, are proportionate. This connection can be graphed. Since, the line will pass from the origin(0, 0).

Since given y is the directly proportional equation of the line will be;

y = mx

where m is the slope of the line

Also given, filling the bottle at every ounce requires 5 seconds of time. hence, the line will go from (1, 5)

Thus, the value of the m will be;

5 = m *1

m =5

Therefore, the slope of the line is 5.

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Answer:

M equals 9.3

Step-by-step explanation:

To get m alone add 4.2 to each side

The price elasticity of the supply is 0.43.

The relationship between the percentage change in a product's quantity demanded and the percentage change in price is known as price elasticity of demand. It helps economists comprehend how supply and demand shift in response to changes in a product's price.

Price Elasticity of Demand =\(\frac{Percentage Change in Quantity}{Percentage Change in Price }\)=\(\frac{\Delta Q}{\Delta P}\)

Further, the equation for price elasticity of demand can be elaborated into

Percentage change in quantity=ΔQ=\(\frac{(q_{2}-q_{1})}{(q_{2}+q_{1})}}\)

Percentage change in quantity=ΔP=\(\frac{(p_{2}-p_{1})}{(p_{2}+p_{1})}}\)

Where, \(q_{1}\)= Initial quantity, \(q_{2}\)= Final quantity,\(p_{1}\)= Initial price and \(p_{2}\) = Final price

Here,  \(q_{1}\)=10000,\(q_{2}\)=5000

Percentage change in quantity=ΔQ

=\(\frac{10000-5000}{10000+5000}\)

=\(\frac{5000}{15000}\)

=0.333

Here,  \(p_{1}\)=20 and \(p_{2}\)=15

Percentage change in quantity=ΔP

= \(\frac{20-15}{20+15}\)

=\(\frac{5}{35}\)

=0.143

Price Elasticity of Demand

=\(\frac{Percentage Change in Quantity}{Percentage Change in Price }\)

=\(\frac{0.333}{0.143}\)

=2.33

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Answer:

c

Step-by-step explanation:

pie times radius square

Answer:-2.3,11.,11.,-0.25 or  x2 - 10x - 25- -5

Step-by-step explanation:

u just go in a TI-nspire CX calculator and type in in how it looks

Answer:

Step-by-step explanation:

Both:

1/4 x 1/4

1/16

Neither:

3/4 x 3/4

9/16

The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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Answer:

I’ve got a level 4 in pre algebra state test so this should be simple

Step-by-step explanation:

in order to convert this just Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 1010. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

the answer would be: 1.716×10^11

And this is positive and not negative

Step-by-step explanation:

\(\displaystyle \boxed {y = sin\:(x + \frac{\pi}{2})} \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 1\)

OR

\(\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 1\)

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of \(\displaystyle y = sin\:x,\)in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted \(\displaystyle \frac{\pi}{2}\:unit\)to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD \(\displaystyle \frac{\pi}{2}\:unit,\)which means the C-term will be negative, and by perfourming your calculations, you will arrive at \(\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1}.\)So, the sine graph of the cosine graph, accourding to the horisontal shift, is \(\displaystyle y = sin\:(x + \frac{\pi}{2}).\)Now, with all that being said, in this case, sinse you ONLY have a wourd problem to wourk with, you MUST use the above formula for calculating the period. Onse you do that, the rest should be easy. Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at \(\displaystyle y = 0,\)in which each crest is extended one unit beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

Step-by-step explanation:

Cosine is a trigonometric function defined as the ratio of length of adjacent side and the hypothesis in a right-angle triangle.

It is a periodic function with a period of 2pi.

Graph of its plot is attached.

The coordinates that aren't whole numbers as fractions or improper fractions (4, 5).

To find the point where the medians of triangle ABC intersect, we first need to find the midpoints of each side of the triangle.

The midpoint of side AB is:

((2+6)/2, (5+9)/2) = (4, 7)

The midpoint of side BC is:

((6+4)/2, (9+1)/2) = (5, 5)

The midpoint of side AC is:

((2+4)/2, (5+1)/2) = (3, 3)

Now, we can find the coordinates of the point where the medians intersect by finding the average of the coordinates of the midpoints:

((4+5+3)/3, (7+5+3)/3) = (4, 5)

Therefore, the medians of triangle ABC intersect at the point (4, 5).

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Answer:

Step-by-step explanation:

find the density of the block of wood, we need to divide its mass by its volume:

Density = Mass ÷ Volume

Density = 38 g ÷ 25 cm³

Density = 1.52 g/cm³

Therefore, the density of the block of wood is 1.52 g/cm³, which is option B.

Answer: (B)

Step-by-step explanation:

Density is defined as mass per unit volume. Therefore, to find the density of the block of wood, we need to divide its mass by its volume.

Density = mass / volume

Density = 38 g / 25 cm³

Density = 1.52 g/cm³

Therefore, the answer is (B) 1.52 g/cm³.

Answer:

65038.55

Step-by-step explanation:

First, Let's turn 12.3% into a decimal which is 0.123

Then Multiply 57,915 by 0.123

57,915 × 0.123= 7123.545 Round; 7,123.55

Then Add  [Mark up = Add] 57,915 with 7,123.55

57,915 + 7,123.55= 65038.55

Hence, the Answer is 65038.55

\(\\ \sf\longmapsto 3^6\times 3\)

\(\boxed{\sf a^m\times a^n=a^{m+n}}\)

\(\\ \sf\longmapsto 3^6\times 3^1\)

\(\\ \sf\longmapsto 3^{6+1}\)

\(\\ \sf\longmapsto 3^7\)

The value of the expression +, can be determined by performing matrix addition on the given matrices and then evaluating the resulting expression. Let's proceed with the calculations: Given matrices:

A = [[1, 2, 0], [3, 2 + c, -1], [2, 2 + c, 2 + c]]

B = [[0, 2 + c, -3], [3, c, -1], [0, 3, -1]]

Performing matrix addition on A and B, we add the corresponding elements:

A + B = [[1 + 0, 2 + (2 + c), 0 + (-3)],

[3 + 3, (2 + c) + c, -1 + (-1)],

[2 + 0, (2 + c) + 3, (2 + c) + (-1)]]

Simplifying further, we get:A + B = [[1, 4 + c, -3],

[6, 2 + 2c, -2],

[2, 5 + c, 1 + c]

Therefore, the value of + is equal to the matrix [[1, 4 + c, -3], [6, 2 + 2c, -2], [2, 5 + c, 1 + c]].

We can store this value in the string FG_sum using valid Python code formatting as follows:

FG_sum = "[[1, 4 + c, -3], [6, 2 + 2 * c, -2], [2, 5 + c, 1 + c]]"

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Answer: 1/8

\(2^{-3}=\frac{1}{2^{3} }=\frac{1}{8}\)

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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The answers are:

a) The z-score for a light bulb that lasts 500 hours is -10.

b) For a sample of 20 light bulbs, the probability that the average lifespan will be less than 980 hours is approximately 0.0367, or 3.67%.

c) The z-score for a light bulb that lasts 400 hours is -12. This is even more unusual than a lifespan of 500 hours.

d) Given the lifespan follows a normal distribution with a mean of 1000 hours, 50% of the light bulbs will have a lifespan less than 1000 hours.

a) The z-score is calculated as:

z = (X - μ) / σ

Where X is the data point, μ is the mean, and σ is the standard deviation. Here, X = 500 hours, μ = 1000 hours, and σ = 50 hours. So,

z = (500 - 1000) / 50 = -10.

The z-score for a bulb that lasts 500 hours is -10. This is far from the mean, indicating that a bulb lasting only 500 hours is very unusual for this brand of bulbs.

b) If a customer buys 20 of these light bulbs, we're now interested in the average lifespan of these bulbs. . In this case, n = 20, so the standard error is

50/√20

≈ 11.18 hours.

z = (980 - 1000) / 11.18 ≈ -1.79.

The probability that z is less than -1.79 is approximately 0.0367, or 3.67%.

c) The z-score for a bulb with a lifespan of 400 hours can be calculated as:

z = (400 - 1000) / 50 = -12.

The probability associated with z = -12 is virtually zero. So the probability of getting a bulb with a mean lifespan of 400 hours is virtually zero.

d) The mean lifespan is 1000 hours, so half of the light bulbs will have a lifespan less than 1000 hours. Since the lifespan follows a normal distribution, the mean, median, and mode are the same. So, 50% of light bulbs will have a lifespan less than 1000 hours.

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Answer:

5cm

Step-by-step explanation:

It is the pythagorean Theorem and there is this special rule my teacher always told me to follow that means it is always 3, 4, and 5. Trust me, I had this problem before. It is 5cm just use the pythagorean theorem.

Answer: A circle divided into 10 equal parts with 8 parts shaded

Step-by-step explanation:

Alright, there are a lot of words here so lets write them down as fractions so its easier to compare.

A circle divided into 5 parts with 1 part shaded = 1/5

A circle divided into 10 parts with 5 parts shaded = 5/10

A circle divided into 6 parts with 2 parts shaded = 1/3

A circle divided into 10 parts with 8 parts shaded = 8/10

Okay so looking at this we can see that they don't have a common denominator so lets fix that

1/5 = 6/30

5/10 = 15/30

1/3 = 10/30

8/10 = 24/30

3/5 = 18/30

Now lets find which one is greater than 3/5

Only the 24/30 one is greater, and looking back that is the circle divided into 10 parts with 8 of them shaded.

Answer: B for short

Step-by-step explanation:

All credit to the person above me! <3

To compute the dispersion of the dilated function \($f_t(x) = t^{-1/2} \cdot f(x/t)$\), we need to calculate the variance of \($f_t(x)$\). The variance is defined as \($\text{Var}(f_t(x)) = \mathbb{E}[(f_t(x))^2] - (\mathbb{E}[f_t(x)])^2$\) where \($\mathbb{E}$\) denotes the expectation.

Since \(f(x)\) in \(L^2(\mathbb{R}\)), we know that \($\mathbb{E}[f(x)] = 0$\) (the mean of f(x) is zero). Therefore, \($(\mathbb{E}[f_t(x)])^2 = 0$\).

Next, we need to compute \($\mathbb{E}[(f_t(x))^2]$\). Using the definition of \($f_t(x)$\), we have \($f_t(x) = t^{-1/2} \cdot f(x/t)$\). Squaring this, we get \($(f_t(x))^2 = t^{-1} \cdot f^2(x/t)$\).

To find \(\mathbb{E}[(f_t(x))^2]$\), we need to integrate \($(f_t(x))^2$\) over the entire real line and then divide by the length of the interval. Since \($f(x) \in L^2(\mathbb{R})$\), we can assume that the integral converges and the length of the interval is infinite.

Now, let's consider the dilated function \($\hat{f}_t(\xi) = (1 + \xi^2) \cdot f_t(\xi)$\) where \($\xi$\) is the Fourier transform variable.

To compute the dispersion of \($\hat{f}_t(\xi)$\), we use the same procedure as before. First, we calculate \($\mathbb{E}[\hat{f}_t(\xi)] = 0$\) since \($\mathbb{E}[f_t(x)] = 0$\). Then, we compute \($\mathbb{E}[(\hat{f}_t(\xi))^2]$\) by squaring \($\hat{f}_t(\xi)$\) and integrating over the entire real line.

Finally, we compare the dispersions of \($f_t(x)$\) and \($\hat{f}_t(\xi)$\)about the origin versus \($t$\). By analyzing the dispersion for different values of \($t$\), we can confirm the uncertainty principle for these dilated functions.

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With a $1 bet on three numbers, you can expect to win $12.33. So, the expected winnings for a $1 bet on three numbers in a roulette wheel is approximately $0.95.

Here's how to calculate it:
- There are 38 possible outcomes on the roulette wheel (1 through 36, 0, and 00).
- Your bet covers 3 of those outcomes, so your probability of winning is 3/38.
- The payout for a winning bet is $1 plus another $11, for a total of $12.
- To find your expected winnings, multiply the probability of winning by the payout:
  (3/38) x $12 = $0.947
- Rounded to the nearest cent, that's $0.95.
So with a $1 bet on three numbers, you can expect to win about $0.95 each time, on average. Over many bets, your total winnings will approach $12.33.

In order to calculate the expected winnings from a $1 bet on three numbers in a roulette wheel, we can follow these steps:
1. Determine the probability of winning the bet. In a roulette wheel with 38 numbers (1-36, 0, and 00), you bet on three numbers, so the probability of winning is 3/38.
2. Determine the amount you would win if your bet is successful. Since the bet pays 11 to 1, you would get back your original $1 plus another $11, for a total of $12.
3. Multiply the probability of winning by the amount you would win. This will give you the expected winnings for a single $1 bet:
(3/38) * $12 = $0.947
So, the expected winnings for a $1 bet on three numbers in a roulette wheel is approximately $0.95 (rounded to the nearest cent).

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The particular solution is: y(t) = t^(23/6) - 5To solve the Cauchy-Euler equation t'y' - 7ty' + 16y = 0, we can use the method of undetermined coefficients.

First, we assume a solution of the form y(t) = t^r, where r is a constant to be determined.

Taking the derivative of y(t) with respect to t, we have y'(t) = rt^(r-1).

Substituting y(t) and y'(t) into the Cauchy-Euler equation, we get:

t(t^(r-1))(r) - 7t(t^r)(r-1) + 16(t^r) = 0

Simplifying the equation, we have:

r(t^r) - 7r(t^r) + 7t(t^r) + 16(t^r) = 0

Combining like terms, we get:

t^r (r - 7r + 7t + 16) = 0

Since t^r ≠ 0 for any t > 0, we must have:

r - 7r + 7t + 16 = 0

Simplifying this equation, we find:

-6r + 7t + 16 = 0

To solve for r, we substitute t = 1 into the equation:

-6r + 7(1) + 16 = 0

-6r + 7 + 16 = 0

-6r + 23 = 0

-6r = -23

r = 23/6

Therefore, the solution to the Cauchy-Euler equation is:

y(t) = t^(23/6)

To find the particular solution that satisfies the initial conditions y(1) = -4 and y'(1) = 7, we substitute t = 1 into the solution:

y(1) = 1^(23/6) = 1

Since y(1) = -4, the constant term in the particular solution is -4 - 1 = -5.

Therefore, the particular solution is:

y(t) = t^(23/6) - 5

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After adding and subtracting the rational expressions , the simplified rational expression is 4x - 4/x² - 5/x³ + 9  .

We first simplify each expression inside the parentheses :

that means :

⇒ (2x + 5/x² -3x) = (2x - 3x + 5/x²) = (-x + 5/x²) ;

⇒ (3x + 5/x³ - 9x) = (-6x + 5/x³)  ;

⇒ (x + 1/x² - 9) = (-9 + x + 1/x²)  ;

Now we substitute these expressions into original equation/expression :

we get ; (-x + 5/x²) - (-6x + 5/x³) - (-9 + x + 1/x²)

Simplifying further ,

we get ;

⇒ -x + 5/x² + 6x - 5/x³ + 9 - x - 1/x²  ;

On Combining the like terms, we get ;

⇒ 4x - 4/x² - 5/x³ + 9

Therefore, the simplified rational expression is 4x - 4/x² - 5/x³ + 9.

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The given question is incomplete , the complete question is

Adding and subtracting rational expressions, Simplify the rational expression  (2x + 5/x² -3x) - (3x + 5/x³ - 9x) - (x + 1/x² - 9)  .

We are asked to solve a system of equations using the substitution method:

y = 2 x + 1

5 y - 6 x = 13

So we use the first equation as our substitution for "y", since we know that y is equal to "2 x + 1"

We use this expression in the second equation replacing "y":

5 (2x + 1) - 6 x = 13

and now we solve for the only unknown "x" that was left in the equation. We use distributive property to get rid of the parenthesis:

10 x + 5 - 6 x = 13

we combine the terms in x and subtract 5 from both sides:

4 x = 13 - 5

4 x = 8

x = 8/4

x = 2

Now we use this result in the first equation (our substitution equation):

y = 2 (2) + 1 = 5

therefore, x = 2 and y = 5 are the solutions to the system, also written in coordiate pair form as: (2, 5).

If the arithmetic mean of the given measurement is 12, then then the standard deviation is most nearly option (A) 1.45

To find the population standard deviation, we can use the formula:

σ = √( Σ(x - μ)² / N )

where σ is the population standard deviation, x is each observation in the data set, μ is the population mean, and N is the number of observations.

The given data set has 9 observations, and the arithmetic mean is 12. So, we can calculate the sum of squares of deviations from the mean as:

(11-12)² + (11-12)² + (11-12)² + (11-12)² + (12-12)² + (13-12)² + (13-12)² + (14-12)²

= 4 + 4 + 4 + 4 + 0 + 1 + 1 + 4

= 22

Then, we can calculate the population standard deviation as:

σ = √( Σ(x - μ)² / N ) = √(22/9) ≈ 1.45

Therefore, the correct option is (A) 1.45

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