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den301095 [7]
4 years ago
6

An electrolyte solution has an average current density of 111 ampere per square decimeter \left( \dfrac{\text{A}}{\text{dm}^2}\r

ight)( dm 2 A ​ )left parenthesis, start fraction, A, divided by, d, m, start superscript, 2, end superscript, end fraction, right parenthesis. What is the current density of the solution in \dfrac{\text{A}}{\text{m}^2} m 2 A ​ start fraction, A, divided by, m, start superscript, 2, end superscript, end fraction?
Mathematics
2 answers:
horsena [70]4 years ago
6 0
Average current density of the solution = 1 ampere per square decimeter

We have to find the average current density of the solution in ampere per square meter.

1 decimeter = \frac{1}{10} meter
Squaring both sides we get

1 decimeter square = \frac{1}{100} meter square

Current density = 1 \frac{A}{dm^{2} } =1 \frac{A}{ \frac{1}{100} m^{2} } =100Am^{-2}

Thus, the density of electrolyte solution is 100 ampere per square meter
Natasha_Volkova [10]4 years ago
3 0
The answer is 100 the other person is wrong :)
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A professor at a university wants to estimate the average number of hours of sleep students get during exam week. The professor
kotegsom [21]

Answer:

n=(\frac{1.64(6.995)}{1.939})^2 =35.003 \approx 36

So the answer for this case would be n=36 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma =6.995 represent the population standard deviation

n represent the sample size  

Solution to the problem

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =1.939 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

If we replace we have this:

n=(\frac{1.64(6.995)}{1.939})^2 =35.003 \approx 36

So the answer for this case would be n=36 rounded up to the nearest integer

4 0
4 years ago
In the equilateral triangle XYZ, X is located at (-5, -9) and Z is located at (1, -17). What is the perimeter of Triangle XYZ? a
mario62 [17]

Answer:

Option a. 30 units

Step-by-step explanation:

we know that

An equilateral triangle has three equal sides

so

XY=YZ=XZ

The perimeter of triangle XYZ is equal to

P=XY+YZ+XZ

P=3XZ

<u><em>Find the distance XZ</em></u>

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

X is located at (-5, -9) and Z is located at (1, -17)

substitute the values in the formula

XZ=\sqrt{(-17+9)^{2}+(1+5)^{2}}

XZ=\sqrt{(-8)^{2}+(6)^{2}}

XZ=\sqrt{100}

XZ=10\ units

Find the perimeter

P=3(10)=30\ units

3 0
3 years ago
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