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BaLLatris [955]
3 years ago
5

Use the pi key on a scientific or graphing calculator to compute the percent of error of the approximation of pi, 3.14, to the v

alue pi. Show your steps, and round your answer to the nearest hundredth of a percent.
Mathematics
1 answer:
Kitty [74]3 years ago
4 0
Percent error is calculated as \frac{approximation-theoretical}{theoretical}*100.
The approximation in this case is 3.14, and the theoretical or actual value is pi.

Using the formula, the percent error will be:
\frac{3.14- \pi }{ \pi }*100 = -0.0507%

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What is the sum of the infinite geometric series? Sigma-Summation Underscript n = 1 Overscript 4 EndScripts (negative 144) (one-
Irina18 [472]

The sum of the infinite geometric series is -288.

<h2>Given that</h2>

A finite geometric series with n = 4, a₁ = -144, and r = ½.

<h3>We have to determine</h3>

What is the sum of the infinite geometric series?

<h3>According to the question</h3>

The sum of the infinite is determined by the following formula;

\rm S\infty = \dfrac{a_1(1-r^n)}{1-r}\\\\

A finite geometric series with n = 4, a₁ = -144, and r = ½.

Substitute all the values in the formula;

\rm S\infty = \dfrac{a_1(1-r^n)}{1-r}\\\\S\infty = \dfrac{-144 (1- \dfrac{1}{2}^4)}{1-\dfrac{1}{2}}\\\\S \infty = \dfrac{-144 \times \dfrac{15}{16}}{\dfrac{1}{2}}\\\\S \infty = -270

Therefore,

The sum of the infinite geometric series is,

\rm S = \dfrac{a_1}{1-r}\\\\S=\dfrac{-144}{1-\dfrac{1}{2}}\\\\S = \dfrac{-144}{0.5}\\\\S = -288

Hence, the sum of the infinite geometric series is -288.

To know more about Geometric Series click the link given below.

brainly.com/question/16037289

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
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An AP Statistics class starts a project to estimate the average number of hours a student at their high school sleeps per night.
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Answer:

C) Sample: the 120 students surveyed. Population: the 1200 students at the high school. Parameter of interest: the average number of hours a student at this high school sleeps per night.

Step-by-step explanation:

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  • Sample is the selected units, chosen for conducting the research study.
  • Parameter of interest is the  characteristic or variable, that is studied related to the population or sample

Research of average hours of sleep in a school; on the basis of 120 students selected for the study; are :-

  • Population is the total number of students in the school, i.e = 1200 students
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  • The parameter of interest is the variable of students, that needs to be studied, i.e average sleep hours.
4 0
3 years ago
ASAP PLEASE I NEED HELP explain to me also because i dont understand Thank you!
trasher [3.6K]

Answer:

For 7 I think A- ( I hope its right-) and 8 is D. - . <:)))))

Step-by-step explanation:

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3 years ago
What is this im confused it the qestion on math its p×13= -52
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The question is asking you to solve for p. For your question, p = -4. 13 * -4 = -52 so -4 is the correct answer.

Hope this helps! :)

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3 years ago
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