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alexandr1967 [171]
3 years ago
12

Given P space equals space P subscript 0 space plus space rho g h, your objective is to determine the uncertainty of P by measur

ing P subscript 0 comma space rho comma space g space and space h , What is the expression for capital delta P subscript g , that is, the g's contributing term for the overall uncertainty of P
Mathematics
1 answer:
son4ous [18]3 years ago
8 0

Answer:

the g's contributing term for the overall uncertainty of P is  dP_g =  [\frac{dg}{g}]

Step-by-step explanation:

From the question we are told that

   The pressure is   P  = P_o + \rho gh

The first step in determining the uncertainty of P in by obtaining the terms in the equation contributing to it uncertainty and to do that we take the Ln of both sides of the equation

    ln P  = lnP_o + ln(\rho gh )

=>   ln P  = lnP_o + ln \rho + ln g  + ln h

Then the next step is to differentiate both sides of the equation

    \frac{d(ln P)}{dP}  =  \frac{d(ln P_o)}{dP_o} + \frac{d(ln \rho)}{d\rho} +\frac{d(ln g)}{dg} + \frac{d(ln h)}{dh}

=>    \frac{dP}{P}  =  \frac{dP_o}{P_o} + \frac{d \rho}{\rho} +\frac{d g}{g} + \frac{d h}{h}

We asked to obtain the contribution of the term g to the uncertainty of P

This can deduced from the above equation as

     dP_g =  [\frac{dg}{g}] P

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Perform the indicated goodness-of-fit test.
Alex17521 [72]

Answer: Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the distribution of the sample is consistent with the distribution of the state populations.

Explanation:

The null and alternative hypotheses are:

H_{0}:The sample of 1000 subjects has a distribution that is consistent with the distribution of state populations.

H_{a}:The sample of 1000 subjects does not have a distribution that is consistent with the distribution of state populations.

Under the null hypothesis, the test statistic is:

\chi^{2}=\sum \frac{(O-E)^{2}}{E}

From the attachment, we clearly see the chi-square statistic is:

\chi^{2}=31.938

Now we have to find the chi-square critical value at 0.05 significance level for df = n - 1 = 4-1=3. Using the chi-square distribution table, we have:

\chi^{2}_{critical} =7.815

Since the chi-square statistic is greater than the chi-square critical value, we therefore reject the null hypothesis and there is sufficient evidence to warrant rejection of the claim that the distribution of the sample is consistent with the distribution of the state populations


8 0
2 years ago
Diagonal of a square is 4 root 2. Find the length of a side of a square
rosijanka [135]

Check the picture below.

\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{4\sqrt{2}}\\ a=\stackrel{adjacent}{s}\\ b=\stackrel{opposite}{s}\\ \end{cases}\implies (4\sqrt{2})^2~~ = ~~s^2~~ + ~~s^2 \\\\\\ 4^2\sqrt{2^2}~~ = ~~2s^2\implies 16(2)=2s^2\implies 32=2s^2\implies \cfrac{32}{2}=s^2 \\\\\\ 16=s^2\implies \sqrt{16}=s\implies \boxed{4=s}

4 0
2 years ago
You want to evaluate three mutual funds using the Sharpe measure for performance evaluation. The risk-free return during the sam
riadik2000 [5.3K]

Answer:

The correct option based on the below computation of Sharpe ratio for all funds is option C,Fund C.

Step-by-step explanation:

Sharpe ratio=(Average return of the fund-risk free rate of return)/standard deviation of the fund

Risk free rate of return is 6%

Fund A:

Sharpe ratio=(24%-6%)/30%=0.6

Fund B:

Sharpe ratio=(12%-6%)/10%=0.6

Fund C:

Sharpe ratio=(22%-6%)/20%=0.8

Fund has a sharpe ratio of 0.8 ,unlike funds A& B that have a ratio of 0.6 each

In other words option C is correct

3 0
3 years ago
A line is the locus of points that:
Len [333]

Answer:

Option D

Step-by-step explanation:

Option A represents the circle

Option B represents the parabola

Option C represents the ellipse

Option D represents the line

6 0
2 years ago
Anna's scores for a video game are 670, 575, 400, 575, 1250, 720, and 885. Which statement about the data is correct? A) The med
Dmitrij [34]
400+575+575+670+720+885+1250=5075
5075/7=725

Mean = 725

400, 575, 575, 670, 720, 885, 1250
Median = 670

725>670
C) The Mean is greater than the Median
3 0
3 years ago
Read 2 more answers
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