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Bas_tet [7]
1 year ago
9

Dimensional Analysis Method (also called conversion factor or unit analysis) (Appendix D: Dimensional Analysis, Page 397) o The

dimensional analysis method uses equivalences written in _____________________ form. o Because the numerator and denominator of the fraction are equivalent, the value of the fraction is __________ o Multiplying by 1 does not change the quantity, but using an equivalence will change the units (or label) o In order for units to cancel they must be in _____________________________ of the fraction.
Mathematics
1 answer:
garik1379 [7]1 year ago
4 0

Answer:

The dimensional analysis method uses equivalences written in <u>fractional</u> form. Because the numerator and denominator of the fraction are equivalent, the value of the fraction is <u>1.</u> Multiplying by 1 does not change the quantity, but using an equivalence will change the units (or label). In order for units to cancel they must be in <u>the numerator and the denominator</u> of the fraction

Step-by-step explanation:

Dimensional analysis is a method of problem solving that takes into consideration the identity property of multiplication whereby the product of a number and 1 will always give the same number, that is 1 × n = n whereby the value "n" remains the same after the multiplication

Therefore, a fraction of two equivalent measurements but different units has a value of 1, and multiplying the equivalent fraction with another measurement with the same unit as the denominator of the fraction with a value of 1 changes the unit to that of the unit of the numerator

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1 year ago
From Statistics and Data Analysis from Elementary to Intermediate by Tamhane and Dunlop, pg 265. A thermostat used in an electri
Leviafan [203]

Answer:

t=\frac{201.77-200}{\frac{2.41}{\sqrt{10}}}=2.32    

The degrees of freedom are given by:

df=n-1=10-1=9  

The p value for this case is given by:

p_v =2*P(t_{(9)}>2.32)=0.0455    

For this case since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 200 F.

Step-by-step explanation:

Information given

data: 202.2 203.4 200.5 202.5 206.3 198.0 203.7 200.8 201.3 199.0

We can calculate the sample mean and deviation with the following formulas:

\bar X= \frac{\sum_{i=1}^n X_i}{n}

\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

\bar X=201.77 represent the sample mean    

s=2.41 represent the sample standard deviation    

n=10 sample size    

\mu_o =200 represent the value that we want to test    

\alpha=0.05 represent the significance level for the hypothesis test.    

t would represent the statistic

p_v represent the p value for the test

Hypothesis to test

We want to determine if the true mean is equal to 200, the system of hypothesis are :    

Null hypothesis:\mu = 200    

Alternative hypothesis:\mu = 200    

The statistic for this case is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)    

The statistic is given by:

t=\frac{201.77-200}{\frac{2.41}{\sqrt{10}}}=2.32    

The degrees of freedom are given by:

df=n-1=10-1=9  

The p value for this case is given by:

p_v =2*P(t_{(9)}>2.32)=0.0455    

For this case since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 200 F.

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2 years ago
Is "8.313313331..." a rational or irrational number
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Answer:

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Step-by-step explanation:

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This is a nonrepeating decimal.  First you have one 3, then two 3s, then three 3s.  It's not a repeating pattern.  So it's an irrational number.

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2 years ago
11. S(-4,-6) and T(-7, -3); Find R.<br> What is the missing endpoint if S is the midpoint of RT
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answer is (-7,-9)

step by step:-

S is the midpoint of RT so ,

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ratelena [41]

Answer:

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= 25%

So 51%= big circle alone

And 51%+25%= 76%

100%-76%=24%

3 0
2 years ago
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