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4 years ago

In a capacitor, the amount of dielectric stress is proportional to the _____.

Mathematics

1 answer:

riadik2000 [5.3K]4 years ago

8 0

Answer

capacitance of capacitor.

<u>Explanation</u>

Dielectrics are non-conducting materials or insulators or bad conducting materials.Examples for dielectrics are glass, mica,Plastics etc.Dielectrics are placed inside two parallel plate capacitors. If larger the value of dielectric constant more charge can be stored.The electric field between two parallel plate capacitor is proportional to the capacitance of the capacitor.By the presence of dielectric the electric field strength reduced, so more charge can be stored.

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A researcher is interested in finding a 95% confidence interval for the mean number minutes students are concentrating on their

Sever21 [200]

Answer:

A. Normal

B. Between 40.08 minutes and 43.92 minutes.

C. About 95 percent of these confidence intervals will contain the true population mean number of minutes of concentration and about 5 percent will not contain the true population mean number of minutes of concentration.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

Question A:

By the Central Limit Theorem, a normal distribution.

Question B:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96\frac{12}{\sqrt{150}} = 1.92$

The lower end of the interval is the sample mean subtracted by M. So it is 42 - 1.92 = 40.08 minutes

The upper end of the interval is the sample mean added to M. So it is 42 + 1.92 = 43.92 minutes

Between 40.08 minutes and 43.92 minutes.

Question C:

x% confidence interval -> x% will contain the true population mean, (100-x)% wont.

So, 95% confidence interval:

About 95 percent of these confidence intervals will contain the true population mean number of minutes of concentration and about 5 percent will not contain the true population mean number of minutes of concentration.

3 0

3 years ago

What is a possible value of x if -5 < x < 0? A-6 B3 C-3 D6

sertanlavr [38]

Answer:

C. -3

Step-by-step explanation:

Given

Inequality; -5 < x < 0

Required:

A possible value of x

First, the inequality needs to be interpreted

The inequality reads.

-5 < x < 0

This means -5 is less than x and x is also less than 0

In other words, x is greater than -5 and x is less than 0.

With the illustration above, x starts from-4 and ends at -1, i.e. the range of x can be said to be -4 to -1

Possible Values of x: -4,-3,-2,-1

From. Option A through D, only -3 which is option C can be seen in this range.

Hence, -3 is a possible value

7 0

3 years ago

Using GCF write an expression that is equivalent to 16p+48

aalyn [17]

You start by looking at what number can divide evenly into both 16 and 48. Both numbers are divisible by 16. 16 goes into 16 once and 16 goes into 48 three times. So you divide each term by 16 and your expression should look like this: 16 (p+3)

8 0

3 years ago

five times as many girls as boys went to the dance. The total of 120 students went to the dance. How many boys and girls went to

ryzh [129]

Answer:

100 girls and 20 boys

Step-by-step explanation:

since its 5 times as many girls multiply 20 by 5 which is 100 and then boom 20 boys cause 100 divided by 5 is 20

8 0

3 years ago

Factor the expression below so it is in simplest form.<br> 8(3x + 5) + 14

shtirl [24]

Answer:

24x+54

Step-by-step explanation:

8(3x+5)= 24x+40

24x+40+14=24x+54

24x+54

8 0

3 years ago

Read 2 more answers