1. Identify any electro pneumatic industrial application with the following componets (i,ii,iii)

Which data set has the largest standard deviation

AfilCa [17]

Answer:

<em>The data set marked as B has the largest standard deviation</em>

Explanation:

<u>Standard Deviation</u>

It's a number used to show how a set of measurements is spread out from the average value. A low standard deviation means that most of the values are close to the average. A high standard deviation means that the numbers are more spread out.

The formula for the standard deviation is

$\displaystyle \sigma=\sqrt{\frac{\sum (x_i-\mu)^2}{n}}$

Where $x_i$ is the value of each measurement, n is the number of elements in the set, and $\mu$ is the average or media of the values, defined as

$\displaystyle \mu=\frac{\sum x_i}{n}$

Let's analyze each set of data:

A.3,4,3,4,3,4,3

The average is

$\displaystyle \mu=\frac{3+4+3+4+3+4+3}{7}=3.43$

Computing the stardard deviation:

$\sigma=\sqrt{\frac{(3-3.43)^2+(4-3.43)^2+(3-3.43)^2+(4-3.43)^2+(3-3.43)^2+(4-3.43)^2+(3-3.43)^2}{7}}$

$\sigma=0.5$

B.1,6,3,15,4,12,8

The average is

$\displaystyle \mu=\frac{1+6+3+15+4+12+8}{7}=7$

Computing the stardard deviation:

$\sigma=\sqrt{\frac{(1-7)^2+(6-7)^2+(3-7)^2+(15-7)^2+(4-7)^2+(12-7)^2+(8-7)^2}{7}}$

$\sigma=4.7$

C. 20, 21,23,19,19,20,20

The average is

$\displaystyle \mu=\frac{20+21+23+19+19+20+20}{7}=20.29$

Computing the stardard deviation:

$\sigma=\sqrt{\frac{(20-20.29)^2+(21-20.29)^2+(23-20.29)^2+(19-20.29)^2+(19-20.29)^2+(20-20.29)^2+(20-20.29)^2}{7}}$

$\sigma=1.3$

D.12,14,13,14,12,13,12

The average is

$\displaystyle \mu=\frac{12+14+13+14+12+13+12}{7}=12.86$

Computing the stardard deviation:

$\sigma=\sqrt{\frac{(12-12.86)^2+(14-12.86)^2+(13-12.86)^2+(14-12.86)^2+(12-12.86)^2+(13-12.86)^2+(12-12.86)^2}{7}}$

$\sigma=0.8$

We can see the data set marked as B has the largest standard deviation

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While no one knows why, astronomers do now know that the solar nebula has ___________?

iris [78.8K]

While no one knows why, astronomers do now know that the solar nebula has collapsed. Scientists believed that our Solar system was made when gas and dust cloud was being disturbed by an explosion of supernova. Due to pressure, this cloud collapsed.

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What is the following atmospheric property associated with?

drek231 [11]

Answer:

Your answer should be B. Cooled air

Explanation:

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The diagram shows a multi-tap transformer. Which pair of terminals would you connect to produce an output voltage of 8 V?

Triss [41]

Answer:

The pair of terminals to produce an output voltage of 8V are K and M.

Explanation:

A transformer is an electronic device that can be used to increase or decrease an output voltage. It consists of secondary and primary coils, and operates on the principle of induction.

$\frac{V_{s} }{V_{p} }$ = $\frac{N_{s} }{N_{p} }$

where: $V_{s}$ is the voltage in the secondary coil, $V_{p}$ is the voltage in the primary coil, $N_{s}$ is the number of turns in the secondary coil and $N_{p}$ is the number of turns in the primary coil.