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3 years ago

Newton approximated motion in a circle as a series of linear motions, as in the polygon below.

Mathematics

1 answer:

mojhsa [17]3 years ago

5 0

The answer is the option 3. (the arrow aimed to the center of the polygon)

Why?. Because the particle changed the direction of its movement due to a force inclined respect the motion and aimed to the center. Take in account that the vectors net force and acceleration are parallel.

You might be interested in

When 12 is multiplied by 6, the result is what?

Alina [70]

The result would be 72... 12
x6
----
72 (carry the one) Unless your figuring out if its positive or negative. (positive)

Have a Brainly Day!

5 0

2 years ago

Read 2 more answers

Information about the proportion of a sample that agrees with a certain statement is given below. Use StatKey or other technolog

lara31 [8.8K]

Answer:

$SE=\sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.35 (1-0.35)}{100}}=0.048$

If we replace the values obtained we got:

$0.35 - 1.96\sqrt{\frac{0.35(1-0.35)}{100}}=0.257$

$0.42 + 1.96\sqrt{\frac{0.42(1-0.42)}{150}}=0.443$

The 95% confidence interval would be given by (0.257;0.443)

Step-by-step explanation:

Notation and definitions

$X=35$ number of people that agree.

$n=100$ random sample taken

$\hat p=\frac{35}{100}=0.35$ estimated proportion of people that agree

$p$ true population proportion of peopl that agree

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".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

The standard error is given by:

$SE=\sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.35 (1-0.35)}{100}}=0.048$

If we replace the values obtained we got:

$0.35 - 1.96\sqrt{\frac{0.35(1-0.35)}{100}}=0.257$

$0.42 + 1.96\sqrt{\frac{0.42(1-0.42)}{150}}=0.443$

The 95% confidence interval would be given by (0.257;0.443)

6 0

3 years ago

Read 2 more answers

Select all the correct answers.

ohaa [14]

Answer:

Lines 3 and 4

Step-by-step explanation:

ignore this rjrjrjrjrrnrnnrnrrnnr

8 0

3 years ago

Solve for the distance between the points (25, -41) and (31, -32).

Ann [662]

Answer:

The distance should be $3\sqrt{13$

Step-by-step explanation:

Distance formula

7 0

2 years ago

Jane and Jill both love to collect books. Jane has twice as many books as Jill. Together, they have a total of 216 books in thei

mezya [45]

Answer:

144

Step-by-step explanation:

Jane has 2 times as many books as Jill, so there are 3 parts. Two parts Jane and one part Jill. So, divide 216 by 3 and it's 72, which equals one part. Jane has two parts, so 72 x 2. Jane has 144 books.

5 0

3 years ago