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Nadya [2.5K]
3 years ago
13

The graph shows the relationship between gravitational potential energy and mass, for objects at a height of 10 meters. What con

clusion is supported by the graph?
A) The height of an object does not affect the amount of gravitational potential energy the object has.

B) The mass of an object does not affect the amount of gravitational potential energy the object has. Eliminate

C) An object with greater mass will have less gravitational potential energy than an object with less mass, when the objects are at the same height.

D) An object with greater mass will have more gravitational potential energy than an object with less mass, when the objects are at the same height.

Mathematics
1 answer:
jek_recluse [69]3 years ago
7 0

Answer:

d

Step-by-step explanation:

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Answer:

The 99% confidence interval for the proportion of the population who are obese is (0.25, 0.282)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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In which

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For this problem, we have that:

n = 5000, \pi = 0.266

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.266 - 2.575\sqrt{\frac{0.266*0.734}{5000}} = 0.25

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.266 + 2.575\sqrt{\frac{0.266*0.734}{5000}} = 0.282

The 99% confidence interval for the proportion of the population who are obese is (0.25, 0.282)

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3 years ago
A huge Ping-Pong tournament is held in Beijing with 65,536 participants at the start of the tournament. Each round of
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Answer:

After 16 rounds the champion of Ping-Pong player can be determined.

Step-by-step explanation:

This is an example of geometric progression,

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Now we need to find which term is 1 in this GP.

N th term of GP is given by

             t_n=ar^{n-1}

Substituting

               1=65536\times \left ( \frac{1}{2}\right )^{n-1}\\\\\frac{1}{65536}=\left ( \frac{1}{2}\right )^{n-1}\\\\2^{n-1}=65536\\\\2^{n-1}=2^{16}\\\\n=17

Seventeenth term of this GP is 1.

That is after 16 rounds the champion of Ping-Pong player can be determined.

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Step-by-step explanation:

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