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antoniya [11.8K]
4 years ago
14

An electron is released from rest in a uniform electric field. the electron accelerates vertically upward, traveling 4.50m in th

e first 3.00μs after it is released.
Mathematics
1 answer:
Ksivusya [100]4 years ago
4 0
If you are looking for the strenght of the electric field, then what you need to do is the following calculation:
E=F/q, and F=ma,
thus E=(ma)/q=(m· 2· x)/(t 2· q) = [(9.11×10-31kg)·2·(4.5m)] / [(3×10-6s)2(1.6×10-19C )]= 5.69 N/C 
That is the strenght. Now that you know that the force is up and that the electron is negative then the projectile motion principles must be used
<span>.</span>
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Solve for x.<br> -3 (x-1) + 8 (x-3) = 6x + 7 - 5x<br> Pls help as soon as possible thanks! :D
Natali [406]

Answer:

x = 7

Step-by-step explanation:

-3 (x - 1) + 8 (x - 3) = 6x + 7 - 5x

-3 (x - 1) + 8 (x - 3) = 6x - 5x + 7

-3 (x - 1) + 8 (x - 3) = x + 7

-3x + 3 + 8x - 24 = x + 7

-3x + 8x + 3 - 24 = x + 7

5x - 21 = x + 7

    +21        +21

--------------------------------------------------

5x = x + 28

-x     -x

---------------------------------------------------

4x = 28

/2     /2

----------------------------------------------------

x = 7

7 0
3 years ago
Read 2 more answers
Complete the statement by filling in the blanks: When constructing a confidence interval, if the level of confidence increases,
Yuki888 [10]

Answer:

\hat p \pm z_{\alpha/2} SE_{\hat p}

And for this case the margin of error would be:

ME= z_{\alpha/2} SE_{\hat p}

If the level of confidence increase we can conclude that the value of z_{\alpha/2} would increase and the the confidence interval would be wider, since the margin of error increase.

c. Increase; wider

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".

Solution to the problem

Let's assume that we have a parameter of interest p and we want to estimate the value of p with \hat p and in general the confidence interval if the distribution of p is normal is given by:

\hat p \pm z_{\alpha/2} SE_{\hat p}

And for this case the margin of error would be:

ME= z_{\alpha/2} SE_{\hat p}

If the level of confidence increase we can conclude that the value of z_{\alpha/2} would increase and the the confidence interval would be wider, since the margin of error increase.

c. Increase; wider

8 0
3 years ago
The mean is 47.1 and the standard deviation is 9.5 for a population. Using the Central Limit Theorem, what is the standard devia
MaRussiya [10]

Answer:

The standard deviation of the distribution of sample means for samples of size 60 is of 1.2264.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes 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.

Standard deviation is 9.5 for a population.

This means that \sigma = 9.5

Sample of 60:

This means that n = 60

What is the standard deviation of the distribution of sample means for samples of size 60?

s = \frac{\sigma}{\sqrt{n}} = \frac{9.5}{\sqrt{60}} = 1.2264

The standard deviation of the distribution of sample means for samples of size 60 is of 1.2264.

4 0
3 years ago
4x-5y+2z=-3<br> 6x+4y+9z=8<br> 11x-2y-z=7
Nutka1998 [239]

Answer:

thank you i need that

Step-by-step explanation:

4 0
4 years ago
What is the product of 65(cos(14°)+ i sin(14°)) and 8(cos(4°)+ i sin(4°))
saveliy_v [14]

The product of the complex numbers 65(cos(14°)+ i sin(14°)) and 8(cos(4°)+ i sin(4°)) is 520[cos(18) + isin(18)]

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Complex number is in the form z = a + bi, where a and b are real numbers.

The product of the complex numbers 65(cos(14°)+ i sin(14°)) and 8(cos(4°)+ i sin(4°)) is:

z = 65 * 8 [cos(14 + 4) + isin(14 + 4)] = 520[cos(18) + isin(18)]

Find out more on equation at: brainly.com/question/2972832

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3 years ago
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