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Rufina [12.5K]
3 years ago
6

Clarence wants to estimate the percentage of students who live more than three miles from the school. He wants to create a

SAT
1 answer:
GarryVolchara [31]3 years ago
5 0

Answer:

847 students must be interviewed.

Explanation:

To reach this result we will use the following formula:

n = \frac{z^2*p*(1-p)}{e^2}

In this formula the letter "e" is equal to 0.04 (4%). Thus, we must find the values of "p" and "z", to find the "n", which refers to the confidence interval.

The question above did not show us what value should be used in "p". When we do not have information on this value, it is always recommended to use 0.5, which is the sample maximization value.

In the situation shown in the question above, a confidence interval of 98% is presented. Thus, it is implicit that we must adopt in "z" a value among the cumulative values of the z distribution of up to 1% or up to 99%. That way you can use any value between the range of 1% to 99%, you should look for that value in a table of Z, however, to facilitate the calculation we will use a value of the area of 99% in the distribution of z. This value is 2,327.

Now we can replace these values in the formula and find the value of "n".

n = \frac{2.327^2*0.5*(1-0.5)}{0.04^2} = 846.08

As there are no 0.8 students, we must round the number to 487. So we can say that it will be necessary to interview 847 students to create the confidence interval.

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The Kind of file that would be the best to handle the basic calculation would be a spreadsheet.

<h3>What is a spreadsheet?</h3>

This is the term that is used to refer to the file that is made up of rows and columns. The rows and columns are made up of what is referred to as cells. Each cell contains data.

The spreadsheet is used to take care of calculations and helps majorly in statistics and accounting. Examples of spreadsheets are excel.

These sheets are able to carry out computations even up to statistical and engineering calculations. They help to make work faster and make interpretation of work easier.

The use of spreadsheets have kind of helped to make  the use of lots of statistical formulas obsolete. This is because the operations are easier and faster when done on the sheets.

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Which element is the basis for all living things and can combine with other elements in many ways? phosphorus carbon oxygen sulf
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Newton’s law of cooling states that for a cooling substance with initial temperature t0, the temperature t(t) after t minutes ca
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The cooling rate of the substance is approximately 0.0732.

According to the statement, the Newton's law of cooling is defined by the following formula:

T(t) = T_{s} + (T_{o}-T_{s})\cdot e^{-k\cdot t} (1)

Where:

  • T_{s} - Final temperature, in degrees Celsius.
  • T_{o} - Initial temperature, in degrees Celsius.
  • t - Time, in minutes.
  • k - Cooling rate, in \frac{1}{min}.
  • T(t) - Current temperature, in degrees Celsius.

Please notice that substance reaches thermal equilibrium when T(t) = T_{s}, that is when temperature of the substance is equal to the temperature of surrounding air.

If we know that T_{o} = 80\,^{\circ}C, t = 15\,min, T_{s} = 50\,^{\circ}C and T(15) = 60\,^{\circ}C, then the cooling rate of the substance is:

60 = 50 + (80 - 50)\cdot e^{-15\cdot k}

\frac{60-50}{80-50}= e^{-15\cdot k}

\frac{1}{3} = e^{-15\cdot k}

k = -\frac{1}{15}\cdot \ln \frac{1}{3}

k \approx 0.0732

The cooling rate of the substance is approximately 0.0732.

To learn more on Newton's law of cooling, we kindly invite to check this verified question: brainly.com/question/13748261

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Munnabhai knows the four values of agile manifesto by heart.
4vir4ik [10]

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Given that Munnabhai could not recollect anything about short iterations in Agile Manifesto, it should be noted that iterations is part of <u>Agile Phases</u>.

<h3>What is Agile Phases?</h3>

Agile Phases is the term that is used to describe the stages or phases in which project is executed.

Agile Phases include the following phases:

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Hence in this case, it is concluded that the correct answer is <u>Agile Phases.</u>

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Munnabhai knows the four values of Agile Manifesto by heart. However, he was confused when a customer spoke with him, highlighting Agile characteristics of short software development cycles or iterations. He could not recollect anything about short iterations in the Agile Manifesto. What did he miss to learn about?

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