(b) by how much could the smallest sample observation, currently 8.1, be increased without affecting the value of the sample median?

To find the volume of a triangular prism with a right angle, multiply the area of the base triangle by the height of the prism.

Start with a triangular prism that has a right angle. The base of the prism is a right-angled triangle.

Measure the lengths of the two perpendicular sides of the right-angled triangle, which are typically referred to as the base (b) and the height (h) of the triangle.

Calculate the area of the base triangle using the formula: Area = (1/2) * base * height.

Measure the height (H) of the prism, which is the perpendicular distance between the two parallel bases.

Multiply the area of the base triangle by the height of the prism to find the volume:

Volume = Base Area * Height = (1/2) * base * height * H.

If the dimensions are given in different units, make sure to convert them to the same unit before performing the calculations.

The volume of a triangular prism with a right angle can be found by multiplying the area of the base triangle by the height of the prism. Ensure that the base dimensions and the height are measured accurately and in the same unit.

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The confidence interval (CI) is a range of values that, with a particular level of confidence, is likely to include a population value. The confidence interval for the given sample is 48.07656, 45.9234.

The confidence interval (CI) is a range of values that, with a particular level of confidence, is likely to include a population value. The percentage is used to represent the location of a population mean between an upper and lower interval.

Given the random sample is 81, while the sample means is 47, the standard deviation is 5.89. Therefore, the confidence interval for 90% of the population mean is,

\(CI = \bar{x} \pm z \dfrac{s}{\sqrt{n}}\\\\CI = 47 \pm 1.645 \dfrac{5.89}{\sqrt{81}}\\\\CI= 47 \pm 1.07656\\\\CI = 48.07656, 45.9234\)

Hence, the confidence interval for the given sample is 48.07656, 45.9234.

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Answer:

37/30

Step-by-step explanation:

2/5 + 5/6

First, we need to find the similar denominator in order to add the numbers

5 and 6 have a least common denominator of 30, so we multiply the the numerator and denominator by the other denominator

2/5 x 6/6 = 12/30

5/6 x 5/5 = 25/30

12/30 + 25/30 = 37/30

37/30 or 1.23 (since 37 cannot be further simplified)

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∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).

To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:

Given:

g(u, v) = f(x(u, v), y(u, v))

f(x, y) = 7x³y³

x(u, v) = ucos(v)

y(u, v) = usin(v)

To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:

∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)

To find ∂f/∂x, we differentiate f(x, y) with respect to x:

∂f/∂x = 21x²y³

To find ∂x/∂u, we differentiate x(u, v) with respect to u:

∂x/∂u = cos(v)

To find ∂f/∂y, we differentiate f(x, y) with respect to y:

∂f/∂y = 21x³y²

To find ∂y/∂u, we differentiate y(u, v) with respect to u:

∂y/∂u = sin(v)

Now, we can substitute these partial derivatives into the equation for ∂g/∂u:

∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))

To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:

x(u, v) = ucos(v) = u * cos(v)

y(u, v) = usin(v) = u * sin(v)

∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))

Simplifying further, we get:

∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))

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Answer:

t=5

Step-by-step explanation:

∵ (t,17) lies on (x,y) plane y=x²-3x+7,t>0

∴ 17=t²-3t+7

t²-3t+7-17=0

t²-3t-10=0

t²-5t+2t-10=0

t(t-5)+2(t-5)=0

(t-5)(t+2)=0

t=5,-2

t>0

so t=5

The true statement about exponential smoothing forecasting model is option (d) The exponential smoothing technique is most useful when short-term forecasts are needed.

Exponent:

In math, exponent tells a number says how many times to use that number in a multiplication.

Given,

Here we need to find the statements about exponential smoothing forecasting model is true.

In order to find the true statement we have to know the definition of exponential smoothing forecasting model.

Exponential smoothing forecasting model also known as ETS model is a family of forecasting models.

And it is used as weighted averages of past observations to forecast new values.

And the idea is to give more importance to recent values in the series. Therefore, as observations get older in time, the importance of these values get exponentially smaller.

Based on these explanation we have identified that option (d) is correct.

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The trench descends to a depth of -24,997 feet below sea level, representing its remarkable depth below the surface.

The trench reaches a staggering depth of 24,997 feet below sea level, making it the deepest point in the area.

With elevations below sea level indicated by negative numbers, this particular trench plunges deep into the ocean floor.

Its immense depth is a testament to the remarkable geological features that exist beneath the surface of our planet.

The negative elevation signifies the significant extent to which this trench descends below the average sea level, providing an awe-inspiring example of the Earth's dynamic and diverse topography.

This extreme depth underscores the mysterious and captivating nature of our planet's oceans and their hidden wonders.

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Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

Answer:

I don't know but I will advise you to use microsoft maths solver

Vertical angles are a pair of non-adjacent angles formed by the intersection of two lines. They are equal in measure. The value of y is 25.

In this case, we are given two vertical angles with measures (2y + 5)° and (4y)°. Since they are equal, we can set up an equation to find the value of y.

(2y + 5)° = (4y)°

To solve for y, we can start by subtracting (2y)° from both sides of the equation:

5° = 2y°

Next, divide both sides of the equation by 2 to isolate y:

2.5° = y°

Therefore, the value of y is 2.5° or 25.

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gcd(ab, c) = 1. The logic used here is known as proof by contradiction.

If gcd(a,c) = 1 and gcd(b,c) = 1,

then gcd(ab,c) = 1.

Suppose that gcd(a, c) = 1 and gcd(b, c) = 1.

Then there exists integers x and y such that: ax + cy = 1 and bx + cy = 1.

Now consider gcd(ab, c). Let d = gcd(ab, c).

If d > 1, then d divides both ab and c. Since gcd(a, c) = 1, it follows that d cannot divide a.

Likewise, gcd(b, c) = 1 implies that d cannot divide b either.

This is a contradiction, since d divides ab.

Therefore, gcd(ab, c) = 1.

The logic used here is known as proof by contradiction.

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The probability that a randomly selected cookie is not safe for Sean to eat is 0.60.

To find the probability that a cookie contains chocolate or nuts, we need to add the probability of the cookie containing chocolate to the probability of the cookie containing nuts, and then subtract the probability of the cookie containing both chocolate and nuts. This is because if a cookie contains both chocolate and nuts, it is counted twice when we add the probability of chocolate and the probability of nuts.

Let's call the event of a cookie containing chocolate "C", the event of a cookie containing nuts "N", and the event of a cookie containing both "C∩N". Then, we can use the formula:

P(C ∪ N) = P(C) + P(N) - P(C ∩ N)

We are given that P(C) = 0.36, P(N) = 0.12, and P(C∩N) = 0.08. Substituting these values into the formula, we get:

P(C ∪ N) = 0.36 + 0.12 - 0.08 = 0.40

Therefore, the probability that a cookie contains chocolate or nuts (but not both) is 0.40.

However, Sean is allergic to both chocolate and nuts, so he cannot eat any cookies that contain either chocolate or nuts. To find the probability that a randomly selected cookie is not safe for Sean to eat, we can subtract the probability of a cookie containing neither chocolate nor nuts from 1:

P(not safe for Sean) = 1 - P(neither C nor N)

To find P(neither C nor N), we can use the complement rule:

P(neither C nor N) = 1 - P(C ∪ N)

Substituting the value we calculated earlier for P(C ∪ N), we get:

P(neither C nor N) = 1 - 0.40 = 0.60

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3x-1 of the following must be odd .The correct  option (d) .

The properties of odd and even integers. An integer is even if it is divisible by 2, and odd if it is not divisible by 2.

Let's simplify the given equation: x = 50y + 69
We can rewrite this as: x = (49y + 50y) + 19

Notice that 49y + 50y is an even integer (since it is the sum of two even integers) and adding 19 to an even integer will result in an odd integer. Therefore, x is always odd.

Now, let's look at each option:

a. xy = (50y + 69)y = 50y^2 + 69y
This could be either even or odd, depending on the value of y.

b. x + y = (50y + 69) + y = 51y + 69
This could be either even or odd, depending on the value of y.

c. x + 2y = (50y + 69) + 2y = 50y + 2y + 69 = 52y + 69
This could be either even or odd, depending on the value of y.

d. 3x - 1 = 3(50y + 69) - 1 = 150y + 206
This must be odd, because an odd integer (3) multiplied by an odd integer (x) and then subtracting an odd integer (1) will always result in an odd integer.

e. 3x + 1 = 3(50y + 69) + 1 = 150y + 208
This could be either even or odd, depending on the value of y.

Therefore, the only option that must be odd is (d) 3x - 1.

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Answer: 5

              11/12 jk we can't times it :]

Step by Step explanation: First I'm not giving the answer we are doing step by step i am in the same grade. First so 5 x 11 what is it?.........very good its 55 next we are going to the. Next number 5 x 12 what is it?.......YES it is 60 very good ok moving on now how much times does 55 go into 60?.....yes  1 time how much do we have left?........Yes 5 so what is the answer?

The smallest value within the class is the lower class limit, and the largest value within the class is the upper class limit.

A class limit is a set of boundary values in the form of a range that describes the lowest and highest data values that a class can contain. The lower class limit refers to the smallest data value in a class, whereas the upper class limit refers to the largest data value in a class. The width of a class is determined by the difference between the upper and lower class limits. Here are a few examples to give you a better understanding of how this works:

Class:              5-9 5 9

Lower Limit:    10-14 10 14

Upper Limit:    15-19 15 19

This shows class limits for three different classes.

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Answer:

no they are not equalent to each other

Answer:

There were small rural towns and farms everywhere.

Step-by-step explanation:

You asked, I answered.

Hope this helped! :)

Answer:

Can you please translate this into English so I can help you?

Step-by-step explanation:

The equation of the tangent plane to f(x, y) = x^2 - 2xy + 3y^2, with slopes 2 in the positive x direction and 2 in the positive y direction, is 2x + 4y - 8 = 0.

To locate the equation of the tangent airplane to the floor described with the aid of the feature f(x, y) = \(x^2 - 2xy + 3y^2\), we need to decide the gradient vector and consider it at a given point.

The gradient vector will grant the ordinary vector to the tangent plane, and by way of the use of the slope information, we can discover the equation of the plane.

Calculate the partial derivatives of the feature with recognize to x and y:

f_x = 2x - 2y

f_y = -2x + 6y

Set up a device of equations the use of the given slope information:

f_x = 2

f_y = 2

Solve the machine of equations to discover the factor where the slopes are satisfied:

2x - 2y = 2 --> x - y = 1 --> x = y + 1

-2x + 6y = 2 --> -x + 3y = 1 --> -x = 1 - 3y --> x = 3y - 1

Setting the two expressions for x equal to every other:

y + 1 = 3y - 1

2 = 2y

y = 1

Substitute y = 1 into both expression for x:

x = 1 + 1

x = 2

Therefore, the factor the place the slopes are comfy is (2, 1).

Evaluate the gradient vector at the factor (2, 1):

grad(f) = (f_x, f_y) = (2x - 2y, -2x + 6y)

= (2(2) - 2(1), -2(2) + 6(1))

= (2, 4)

The ordinary vector to the tangent airplane is the gradient vector (2, 4).

Using the point-normal structure of the equation for a plane, the equation of the tangent airplane is:

2(x - 2) + 4(y - 1) + d = 0

To decide the price of d, alternative the coordinates of the factor (2, 1):

2(2 - 2) + 4(1 - 1) + d = 0

0 + 0 + d = 0

d = 0

The equation of the tangent airplane is:

2(x - 2) + 4(y - 1) = 0

Simplifying the equation, we have:

2x - 4 + 4y - 4 = 0

2x + 4y - 8 = 8

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The value of x from the triangle using the triangle proportionality theorem is 8.4

Given that we have the triangle

Using the triangle proportionality theorem, we have the following equivalent ratio

3.5 : 5 = x : 12

When this ratio is represented as a fraction, we have

3.5/5 = x/12

So, we have

x = 12 * 3.5/5

Evaluate the products

This gives

x = 8.4

Hence. the solution for x is 8.4

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Answer:

7 photos on each page

Step-by-step explanation:

63/9 = 7

She puts 7 photos on each page.

If the stock price increases by 10% to $22.836, the market value of Chester is equal to 3,225,987 multiplied by that amount, which equals $73,668,639, or $73.7 million.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage.

Here,

The market capitalization formula is: current stock price x outstanding shares.

We may use another question as an example as we are not provided with the total number of shares outstanding or the stock price right now.

In the second query, there were 3,225,987 shares in circulation, and the stock price at the time was $20.76. Therefore, the market capitalization at the moment is $3,225,987 times $20.76, or $66,971,490.

Chester's market value is equal to 3,225,987 multiplied by $22.836, which is $73,668,639, or $73.7 million, if the stock price rises by 10% to $22.836.

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Answer:

5

Good Luck!!!

Answer:

1/2 this is the correct answer to the question

Answer:

Welp, good luck the answer is c

Step-by-step explanation:

The general indefinite integral of ∫(√x³+³√x²)dx is \(2(x^{5/2} )/5 + 3(x^{5/3} )/5\) + c , where c is an arbitrary constant.

Integral calculus is the branch of calculus that deals with integrals and its properties. Integration is also known as anti derivative.

An indefinite integral does not consist of any upper or lower limit and hence is indefinite in nature.

We can calculate the general indefinite integral,

∫(√x³+³√x²)dx

Rewriting the integral using power rule we get,

∫(√x³+³√x²)dx = ∫ { \((x^{3})^{1/2} + (x^{2})^{1/3}\) dx

= ∫\((x^{3/2} )+ (x^{2/3} )\) dx

We can split the above indefinite integral as,

= ∫\((x^{3/2} )\) dx + ∫\((x^{2/3} )\) dx

= \((x^{5/2} )/(5/2) + (x^{5/3} )/(5/3)\) + c

where c is an arbitrary constant

= \(2(x^{5/2} )/5 + 3(x^{5/3} )/5\) + c

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Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6