If the sum of a cube =60cm Find its length of edge​

The probability that the largest of n random samples is greater than the population median M is bounded above by\(1 - F(M)^(n-1) \times F(X(n))\).

Assumptions about the population and the sampling method.

Let's assume that the population has a continuous probability distribution with a well-defined median, and that we are taking independent random samples from this population.

Let \(X1, X2, ..., Xn\) be the random samples that we take from the population, where n is the sample size.

Let M be the population median.

The probability that the largest of these random samples, denoted by X(n), is greater than M.

Cumulative distribution function (CDF) of the population distribution to calculate this probability.

The CDF gives the probability that a random variable takes on a value less than or equal to a given number.

Let F(x) be the CDF of the population distribution.

Then, the probability that X(n) is greater than M is:

\(P(X(n) > M) = 1 - P(X(n) < = M)\)

Since we are assuming that the samples are independent, the joint probability of the samples is the product of their individual probabilities:

\(P(X1 < = x1, X2 < = x2, ..., Xn < = xn) = P(X1 < = x1) \times P(X2 < = x2) \times ... \times P(Xn < = xn)\)

For any x <= M, we have:

\(P(Xi < = x) < = P(Xi < = M) for i = 1, 2, ..., n\)

Therefore,

\(P(X1 < = x, X2 < = x, ..., Xn < = x) < = P(X1 < = M, X2 < = M, ..., Xn < = M) = F(M)^n\)

Using the complement rule and the fact that the samples are identically distributed, we get:

\(P(X(n) > M) = 1 - P(X(n) < = M)\)

= \(1 - P(X1 < = M, X2 < = M, ..., X(n) < = M)\)

=\(1 - [P(X1 < = M) \times P(X2 < = M) \times ... \times P(X(n-1) < = M) \times P(X(n) < = M)]\)

\(< = 1 - F(M)^(n-1) \times F(X(n))\)

Probability depends on the sample size n and the distribution of the population.

If the population is symmetric around its median, the probability is 0.5 for any sample size.

As the sample size increases, the probability generally increases, but the rate of increase depends on the population distribution.

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Answer:

hey

Step-by-step explanation:

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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Stephen suggests using at least 20 questions in a baseline survey.

Stephen suggests using at least 20 questions in a baseline survey. Baseline survey refers to the gathering of data from a sample or population to obtain a set of measures that can be used to assess the current status of the population or sample of interest. The goal of a baseline survey is to generate an understanding of the status of a particular variable(s) at the outset of an intervention.Stephen recommends using at least 20 questions in a baseline survey as a general rule of thumb. In addition to using at least 20 questions in a baseline survey, it is important to pay close attention to the type of questions asked, the format of the questions, and the phrasing of the questions to ensure that the responses obtained are reliable and valid

Stephen suggests using at least 20 questions in a baseline survey. The goal of a baseline survey is to generate an understanding of the status of a particular variable(s) at the outset of an intervention. In addition to using at least 20 questions in a baseline survey, it is important to pay close attention to the type of questions asked, the format of the questions, and the phrasing of the questions to ensure that the responses obtained are reliable and valid.

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Answer:

Look when angle 3= angle B

It would make AD parallel to BC

Step-by-step explanation:

So go with

AD//BC

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Answer:

is the graph of y=-2x-1

The equation of line which is parallel to given line is , \(y=-\frac{1}{2}x-1\)

Option H is correct.

Given line is passes through points \((-4,6)\) and \((4,2)\)

Slope of given line is,

                  \(Slope=\frac{2-6}{4+4}=-\frac{1}{2}\)

Since, all parallel lines have the same slope.

So that, slope of line parallel to given line is also equal to \(-\frac{1}{2}\)

Equation of required is,

               \(y=-\frac{1}{2}x+c\)

Since, line passes through point \((0,-1)\)

So that,  \(c=-1\)

Equation of required line become, \(y=-\frac{1}{2}x-1\)

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(a) Point estimate (mean difference): 2.2 tomatoes. (b) The standard deviation of differences: Approximately 3.47. (c) The test statistic: Approximately 1.38.

To perform a t-test for the population mean difference, follow these steps:

(a) Calculate the point estimate (mean difference): The point estimate is the mean difference between the yields of fertilizer A and fertilizer B.

Mean difference = (Sum of differences) / Number of pairs

Using the given data gives:

Mean difference = ((7-4) + (6-7) + (5-6) + (8-5) + (10-3)) / 5

Subtracting gives:

Mean difference = (3 - 1 - 1 + 3 + 7) / 5

Solving gives:

Mean difference = 11 / 5

Dividing gives:

Mean difference = 2.2

(b) Calculate the standard deviation of the differences:

To calculate the standard deviation of the differences, we need to calculate the squared differences, find their sum, divide by (n-1), and then take the square root.

Squared differences:\((3 - 2.2)^2, (-1 - 2.2)^2, (-1 - 2.2)^2, (3 - 2.2)^2, (7 - 2.2)^2\)

Solving gives:

Sum of squared differences = (0.64 + 12.96 + 12.96 + 0.64 + 21.16)

Solving gives:

The sum of squared differences = 48.36

The standard deviation of the differences \(= \sqrt{48.36 / 4}\)

Solving gives:

The standard deviation of the differences \(= \sqrt{2.09}\)

Rounded to three decimal places

The standard deviation of the differences ≈ 3.47

c) Calculate the test statistic:

The test statistic (t) = (Point estimate - Null hypothesis value) / (Standard deviation /√(sample size))

Let's assume the null hypothesis is that there is no difference between the two fertilizers

(i.e., mean difference = 0).

\(t = (2.2 - 0) / (3.47 / \sqrt5)\)

Substituting \(\sqrt 5 = 2.236\)

t = 2.2 / (3.47 / 2.236)

Rounded to two decimal places

t ≈ 1.378

So, the test statistic is approximately 1.378.

The gardener can compare this test statistic to critical values from the t-distribution to determine whether the difference between the two fertilizers is statistically significant at a certain significance level. If the calculated test statistic is greater than the critical value, she ma

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​

The mean of the following data 0,5,30,25,16,18,19,26,0,20,28 is 17.

Hence option D is the correct option.

Mean is the average value of a given set of data. It is calculated by the formula,

Mean =  {Summation of all the values in the data set} / {Number of observations is the data set}

That is, Mean = {Σ all values in the data set} / {number of observations}

The given data set is as follows,

0,5,30,25,16,18,19,26,0,20,28

The number of observations in the data set is 11.

The summation of all the values in the data set is = {0 + 5 + 30 + 25 +
16 + 18 + 19 +26 + 0 + 20 + 28} = 187

Therefore, by applying  the formula of Mean we get

Mean = 187/ 11 = 17

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Answer:

70° and 62° could be the other angles in that isosceles triangle

Step-by-step explanation:

Tanø=opp/adj

Tan30=x/7. (× b.s 7)

x=7Tan30

x= 4.04

The domain of the given set of points is {-7, -4, 0, 4}.

We have,

To find the domain of a set of points, we need to determine the set of all x-values or the set of all possible inputs in the given set of points.

Given the set of points: {(-7,-1), (-4,2), (0,5), (4,-1)}

The domain of these points is the set of all x-values or the set of first coordinates in each point.

So,

Domain = {-7, -4, 0, 4}

Therefore,

The domain of the given set of points is {-7, -4, 0, 4}.

This represents the set of all possible x-values in the given set of points.

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The statements that accurately compare the domain and range of the functions are: The domain of all three functions is all real numbers, The range of f(x) and h(x) is all real numbers, but the range of g(x) is all real numbers except 0.

The domain of a function refers to all the possible input values that make the function defined. For the quadratic function f(x) = 3x², there are no values of x that make the function undefined, so the domain of f(x) is all real numbers. To find the range of f(x), we can calculate the vertex of the parabola, which is (0,0). The range of f(x) is all real numbers greater than or equal to zero.

For the quadratic function f(x) = 3x², we can determine the vertex using the formula:

h = -b/2a

In this case, a = 3 and b = 0, so:

h = -0/2(3) = 0/6 = 0

The x-coordinate of the vertex is 0.

To find the y-coordinate, we evaluate the function at the vertex:

f(0) = 3(0)² = 0

So the vertex of the parabola is (0,0).

Since the coefficient of x² is positive, the parabola opens upwards, and the minimum value of the function occurs at the vertex. Therefore, the range of f(x) is all real numbers greater than or equal to zero.

For the rational function g(x) = 1/3x, the function is undefined when the denominator is equal to zero. Thus, we solve for the value(s) of x that make the denominator zero:

3x = 0

Dividing both sides by 3, we get:

x = 0

Therefore, the domain of g(x) is all real numbers except zero. The range of g(x) is all real numbers except zero, since the function cannot equal zero.

For the linear function h(x) = 3x, there are no values of x that make the function undefined. Thus, the domain of h(x) is all real numbers. The range of h(x) is also all real numbers, since the function is a straight line that passes through the origin and extend infinitely in both directions.

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The answer is 427.7

To find the volume of a pyramid with a square base of side 8 and a height of 20, we need to follow these steps:

Step 1: Identify the formula for the volume of a pyramid. The formula is V = (1/3)Bh, where V is the volume, B is the area of the base, and h is the height.

Step 2: Calculate the area of the square base. Since the base is a square with a side length of 8, its area is 8 x 8 = 64 square units.

Step 3: Plug the values into the formula. Using the area of the base (B = 64) and the height (h = 20), we can now find the volume: V = (1/3)(64)(20).

Step 4: Calculate the volume. V = (1/3)(64)(20) = 64/3(20) = 1280/3 cubic units.

So, the volume of the pyramid is 1280/3 cubic units.

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Answer:

lol i dont know hopefully this hepls g o ogle said this so yea

Step-by-step explanation:

The number of milliseconds in a. year is then obtain by multiplying the number of milliseconds in a. day by the number of days in a year. We then note that the correct operation is 1000⋅60⋅60⋅24⋅365.

If width i.e. x is 20 ft then the farmer will purchase the land.

Given,

width of land = x ft

length of land = ( x - 8 ) ft

Area of land =240 square feet

To determine x use formula,

Area of land =length * width

\(240=(x-8)*x\\\\240=x^2-8x\\\\x^2-8x-240=0\\\\x^2+12x-20x-240=0\\\\x(x+12)-20(x+12)=0\\\\(x+12)(x-20)=0\\\\x=-12\ or\ 20\)

x cannot be negative.

x=20 ft

Thus, if width i.e. x is 20 ft then the farmer will purchase the land.

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Step-by-step explanation:

the answer to your question is

6+4x=d

The expression that gives the number of donuts Andrea ate, represented by "a," can be written as: a = 4d + 6

Let's break down the information given:

1. Let "d" represent the number of donuts Helen ate.

2. Andrea ate six more than four times the number of donuts that Helen ate.

To find the expression that gives the number of donuts Andrea ate, we can use the information provided in point 2.

Four times the number of donuts Helen ate can be expressed as 4d.

Andrea ate six more than four times the number of donuts Helen ate, which can be represented as 4d + 6.

Therefore, the expression that gives the number of donuts that Andrea ate is 4d + 6.

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Hey there! :)

Answer:

x = 3.

Step-by-step explanation:

Begin by setting up a ratio comparing the small triangle to the large triangle. Remember, combine the values of the parts of the sides given to find the total lengths of the sides:

2x + x + 5 = 3x + 5

4 + 3 = 7

Now, we can set up a ratio:

\(\frac{x+5}{4}=\frac{3x+5}{7}\)

Cross multiply:

7(x + 5) = 4(3x + 5)

Distribute:

7x + 35 = 12x + 20

Subtract 7x from both sides:

35 = 5x + 20

Subtract 20 from both sides:

15 = 5x

Divide both sides by 5:

x = 3.

Answer:

Step-by-step explanation: You can find the value of x with a little knowledge about proportions between similar polygons. The sides with lengths relative to x are similar to each other meaning that you can use the proportion: x/3x+5 = 4/7 solve for x by cross multiplying and you will get the value of x.

Answer:

(m⁴-n⁴)

(m²+n²)(m²-n²)

(m²+n²)(m+n)(m-n)

The FIFO principle and enter the units with the lower unit cost first in the Cost of Goods Sold Unit Cost column and in the Inventory Unit Cost column.

To determine the cost of goods sold for each sale and the inventory balance after each sale using the first-in, first-out (FIFO) method, we need to follow these steps:

1. Identify the units sold and their respective costs:
  - Start with the units available for sale at the beginning of the year.
  - For each sale, allocate the units sold from the oldest inventory (first-in) at their corresponding cost.

2. Calculate the cost of goods sold (COGS) for each sale:
  - Multiply the number of units sold by their respective cost.
  - This will give you the cost of goods sold for each sale.

3. Update the inventory balance after each sale:
  - Subtract the units sold from the total units available for sale.
  - Multiply the remaining units by their respective cost to get the ending inventory value.

Remember to follow the FIFO principle and enter the units with the lower unit cost first in the Cost of Goods Sold Unit Cost column and in the Inventory Unit Cost column.

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Point Q on line RS, which is 5/8 of the distance from R to S, is (4.75, 4.5).

To find point Q on line RS that is 5/8 of the distance from R to S, we can use the concept of dividing a line segment into a given ratio.

Here's how we can find point Q:

1. Identify the coordinates of points R and S on the coordinate grid. Let's say the coordinates of point R are (x1, y1) and the coordinates of point S are (x2, y2).

2. Calculate the distance between points R and S using the distance formula:
  Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

3. Multiply the distance between R and S by 5/8 to find 5/8 of the distance.
  Distance_QR = (5/8) * Distance

4. Determine the coordinates of point Q by moving 5/8 of the distance from R to S along the line segment.
  To do this, we can use the following formulas:
  xQ = x1 + ((x2 - x1) * 5/8)
  yQ = y1 + ((y2 - y1) * 5/8)

5. Substitute the values of x1, y1, x2, y2, and Distance into the formulas from step 4 to calculate the coordinates of point Q.

For example, let's say the coordinates of point R are (1, 2) and the coordinates of point S are (7, 6). Here's how we can find point Q:

1. R = (1, 2) and S = (7, 6).

2. Distance = sqrt((7 - 1)^2 + (6 - 2)^2) = sqrt(36 + 16) = sqrt(52).

3. Distance_QR = (5/8) * sqrt(52).

4. xQ = 1 + ((7 - 1) * 5/8) = 1 + (6 * 5/8) = 1 + (30/8) = 1 + 15/4 = 1 + 3.75 = 4.75.
  yQ = 2 + ((6 - 2) * 5/8) = 2 + (4 * 5/8) = 2 + (20/8) = 2 + 2.5 = 4.5.

Therefore, point Q on line RS, which is 5/8 of the distance from R to S, is (4.75, 4.5).



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Answer:

\( f(x) = \frac{20}{3} x\)

Step-by-step explanation:

\(f(x) = \frac{20}{3} x \: ... (required function) \\

Plug \: x = 3 \\ f(3) = \frac{20}{3} \times 3 \\ f(3) = 20\)

When the graph is decreasing, the rectangles give an underestimate and when the graph is increasing, they give an overestimate. These trends are accentuated to a greater extent by areas of the graph that are steeper.

We only need to add up the areas of all the rectangles to determine the area beneath the graph of f. It is known as a Riemann sum. The area underneath the graph of f is only roughly represented by the Riemann sum. The subinterval width x=(ba)/n decreases as the number of subintervals n increases, improving the approximation. Increased sections result in an underestimation while decreasing sections result in an overestimation. We now arrive at the middle rule. The height of the rectangle is equal to the height of its right edges for a right Riemann sum and its left edges for a left Riemann sum. The rectangle height is the height of the top edge's midpoint according to the midpoint rule, a third form of the Riemann sum.

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Answer:

0.267

Step-by-step explanation:

:)

Answer:

4*0.40+5*0.75=5.35

Step-by-step explanation:

Answer:

like so i could get points pls, answer is in screenhot lol

Step-by-step explanation:

The equation for money collected m for h boxes of chocolate bars sold is m = 30h.

We are given that the band is selling every bar of chocolate for $1.50

Now, they have boxes of chocolate, with every box containing 20 bars of chocolate in them.

Hence if we are going to calculate the amount of money collected on selling one box it will be

20 X $1.5

= $30

We need to find the equation for the amount of money collected based on the number of boxes of chocolate bars sold.

We have been given that money collected should be represented b m while the number of chocolate boxes sold should be represented by h

Now we know that

Money collected = price per box X no.of boxes sold

we have already calculated the price per box hence we get

m = 30h

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Step-by-step explanation:

f(x) = -x + 1

---------------

The annual maintenance collected in 2014 will be $1,750,000.

To calculate the annual maintenance collected in 2014, we need to find the number of customers who will renew their maintenance contract and the number of customers who will pay for maintenance as a percentage of product sales in 2013.

Number of customers renewing maintenance in 2014 = 80% of $2,000,000 = $1,600,000

Number of customers paying for maintenance in 2014 = 75% of $2,000,000 = $1,500,000

So, the total annual maintenance collected in 2014 will be:

$1,600,000 + $1,500,000*10% = $1,750,000

Therefore, the annual maintenance collected in 2014 will be $1,750,000.

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Answer:

the answer is D

1.step by step explanation :

\(4 {x}^{2 } - 25 {y}^{2}{z}^{2} \)

\( \sqrt{4 {x}^{2} } - \sqrt{25 {y}^{2} } {z}^{2} \)

2x-5yz

Answer:29.2

Step-by-step explanation:

Answer:29.2m

Step-by-step explanation:

Answer:

2m + 8

Step-by-step explanation:

It's rather simple to break it down, take "8 more" as (+ 8) and twice Matt's savings into (2 * m) which then becomes simply (2m). Because of pemdas, your final answer should be 2m first then + 8, so 2m+8