a rectangular bin with a square base, an open top, and a volume of 62,500 cm3 is to be made. what is the minimum surface area for the bin? enter only the minimum surface area, and do not include units in your answer.

The air pressure inside a category five hurricane with a wind speed of 300 km/h can be estimated using Bernoulli's equation.the atmospheric pressure is 20.96 atmospheres,

Bernoulli's equation states that the pressure inside the hurricane is equal to the density of the air multiplied by the wind speed squared, divided by two.

In this case, the air pressure can be calculated to be 20.96 atmospheres.  density of the air can be taken to be 1.29 kg/m³ . This demonstrates that the air pressure inside a category 5 hurricane with a wind speed of 300 km/h is very high, which is why these storms are so destructive.

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The number of bookcases that Christopher will be able to paint. given the amount of paint he has, is

Each bookcase would require 2 / 5 gallons of paint and Christopher has 8 gallons of paint to spare.

This means that the number of bookcases that can be painted would be :

= Gallons of paint available / Requirement for each book

Gallons of paint available = 8 gallons

Requirement for each book = 2 / 5 gallons

The number of bookcases is:

= 8 ÷ 2 / 5

= 8 x 5 / 2

= 20 bookcases

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There are 512 ways that every chair can end up with exactly one piece of gum under it.

This problem can be solved using the Principle of Inclusion-Exclusion.

Let's call the number of ways that gum is placed under a chair i "Ai". Then we have:

A1 = 1

A2 = 2

A3 = 4

...

A10 = 1024

Now, we want to calculate the number of ways that gum is placed under every chair such that exactly one piece of gum is placed under each chair. To do this, we need to subtract the number of ways that gum is placed under two chairs and add the number of ways gum is placed under three chairs, and so on.

The number of ways that gum is placed under two chairs can be calculated as:

C(10, 2) * 2^8 = 45 * 256 = 11520

The number of ways that gum is placed under three chairs can be calculated as:

C(10, 3) * 2^7 = 120 * 128 = 15360

Continuing this process, we have:

A = 1024 - 11520 + 15360 - 14336 + 8192 - 2048 + 256 - 16 + 1 = 512

So there are 512 ways that every chair can end up with exactly one piece of gum under it.

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There are 512 ways that every chair can end up with exactly one piece of gum under it.

This problem can be solved using the Principle of Inclusion-Exclusion.

Let's call the number of ways that gum is placed under a chair i "Ai". Then we have:

A1 = 1

A2 = 2

A3 = 4

...

A10 = 1024

Now, we want to calculate the number of ways that gum is placed under every chair such that exactly one piece of gum is placed under each chair. To do this, we need to subtract the number of ways that gum is placed under two chairs and add the number of ways gum is placed under three chairs, and so on.

The number of ways that gum is placed under two chairs can be calculated as:

C(10, 2) * 2^8 = 45 * 256 = 11520

The number of ways that gum is placed under three chairs can be calculated as:

C(10, 3) * 2^7 = 120 * 128 = 15360

Continuing this process, we have:

A = 1024 - 11520 + 15360 - 14336 + 8192 - 2048 + 256 - 16 + 1 = 512

So there are 512 ways that every chair can end up with exactly one piece of gum under it.

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We convert the x value from degrees to radians using math.radians. If the sine value is positive, we append it to the y_values list. If the sine value is negative, we append 0 to the y_values list instead.

Here's a code snippet in Python that generates the x and y data for the sine function with a 1 degree increment of x from 0 to 720 degrees:

import math

x_values = []

y_values = []

for x in range(0, 721, 1):

   x_values.append(x)

   y = math.sin(math.radians(x))

   if y >= 0:

       y_values.append(y)

   else:

       y_values.append(0)

In this code, we use the math.sin function to calculate the sine value for a given x in radians. We convert the x value from degrees to radians using math.radians. If the sine value is positive, we append it to the y_values list. If the sine value is negative, we append 0 to the y_values list instead.

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The average of the set of numbers 10.2, 12.5, 13.3, 15.5, 9.6, 10.7, is 11.9[tex]\overline{6}[/tex]

An average is the sum of a set of values divided by the number of values sin the set. The average value, which is also known as the mean, value in descriptive statistics, is a measure of central tendency, which helps describes the values within a set of data.

Therefore, the average of the set of numbers can be found by adding the numbers together, and dividing the result by the count of the numbers as follows;

The sum of the numbers, ∑ = 10.2 + 12.5 + 13.3 + 15.5+ 9.6 + 10.7 = 71.8

The count of the set of numbers, n = 6

Therefore, the average = 71.8/6 = 11 29/30 = 11.9[tex]\overline{6}[/tex]

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Part a: The expression that represents the area of the rectangle is A = (3x + 5)(6x + 11). To calculate the area, we must multiply the two sides of the rectangle together. The length of the rectangle is 3x + 5 units and the width of the rectangle is 6x + 11 units. Therefore, the area is (3x + 5)(6x + 11).

Part b: The degree of the expression obtained in part a is 2 and the classification is a binomial.

Part c: The closure property for polynomials states that the result of combining two polynomials is also a polynomial. In part a, we combined two polynomials, 3x + 5 and 6x + 11, to form the expression (3x + 5)(6x + 11). This expression is also a polynomial, demonstrating the closure property for polynomials. The closure property for polynomials allows us to combine two polynomials and still have a polynomial as the result. This is important in mathematics because it allows us to simplify equations and solve problems more quickly and efficiently.

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Answer:

Step-by-step explanation:

It is 35%

First turn the question into a fraction which is 112/320, and now since it is asking for percentage we multiply the whole fraction by 100 which will look like this:

112/320 X 100.

If you put that into the calculator you will get 35. But you can also do it mentally.

If you choose to do it mentally, we go left to right so 112 X 100 = 11200 and then divide 11200 by 320 and you get 35.

The required unit of the measure of the mean is given in Dollars. Option A is correct.

Given that:

The distribution of prices for a certain car model is approximately normal with a mean of $21,800 and a standard deviation of $400. A random sample of 4 cars of the model will be selected.

The correct unit of measure for the mean of the sampling distribution of the price of the car is to be determined,

The mean of the values is the ratio of the total sum of values to the number of values.

Since the given data is of price in dollars so the measure of the mean will also be taken in Dollars because the mean is defined as the sum of all the values in a particular unit divided by the total number of different quantities.

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Answer: Joy earned 2000 bonus points

Step-by-step explanation: Since Joy earned 20000 bonus points last week and the bonus points she earned this week is ten times less than what she earned last week, the full equation would be 20000/10 which would equal 2000.

The mean is frequently less than the median when the distribution of the data is skewed to the left. The mean is frequently higher than the median when the distribution is skewed to the right.

What is a histogram?

A histogram is a representation of statistical data that makes use of rectangles to display the frequency of data items in a series of equal-sized numerical intervals. The independent variable is plotted along the horizontal axis and the dependent variable is plotted along the vertical axis in the most popular type of histogram.

Left-skewing histograms: As seen in the example below, some histograms will have a left-skewing distribution. Negatively skewed refers to a distribution that is skewed to the left. There are many instances of this type of distribution on the right side's upper-value cells, while there are few instances on the left side's lower-value cells (left side). When information is gathered from a system with a boundary, such as 100, a skewed distribution, such as 100, can result. In other words, none of the data that was gathered has values greater than 100.

Some histograms will display a distribution that is skewed to the right, as shown below. Positive skewness refers to a distribution that is skewed to the right. Large numbers of occurrences in the lower-value cells (left side) and few in the upper-value cells characterize this type of distribution (right side). When information is gathered from a system with a boundary like zero, the distribution may become skewed. In other words, all the data that was gathered has values that are greater than 0.

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Answer:

There are 20 tables with 2 chairs and 30 tables with 4 chairs in the restaurant. To calculate this, you can use the following formula: 40% of 50 tables = 50 x 0.4 = 20 tables with 2 chairs. The remaining 60% of 50 tables = 30 tables with 4 chairs.