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bezimeni [28]
2 years ago
10

By what factor would your weight be multiplied if earth's diameter were 1/ 4 as big and earth's mass remained unchanged?.

Mathematics
1 answer:
GenaCL600 [577]2 years ago
3 0

Answer:

  16

Step-by-step explanation:

Your weight is (roughly) proportional to the inverse of the square of the distance you are from the center of the earth. If that distance is reduced to 1/4 its previous value, then your weight will be multiplied by the factor ...

  1/(1/4)² = 16

You would weigh 16 times as much.

_____

<em>Additional comment</em>

The distribution of mass within the earth also affects your weight.

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Police use a radar unit is used to measure speeds of cars on a freeway. The speeds are normally distributed with a mean of 90 km
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Answer:

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B. P(x≤0)≈0

Step-by-step explanation:

A. Cause we know the distribution of the data, the method used to solve it is called "Normalization" and we need to have the Mean and the Standard deviation of the data. The method consist in the following equation

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Considering <u>μ as the Mean</u> and <u>σ as the Standard deviation</u>. At first, we had a probability in the normal distribution with Mean=90 and STD=10 but <u>that kind of exercises is not meant to find that probability directly but by using this process</u>.

After we normalize the probability, now <u>we have a probability in a specific normal distribution that has Mean=0 and STD=1 and the difference with what we had before is that now we are able to use tools to find probabilities in a normal standard distribution</u>. My favorite of them is a chart that show the approximate values of a lot of probabilities (i attached it to this answer). I´m going to explain point A as an example:

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P(x≥100)=P( (x-μ)/σ ≥ (100-μ)/σ )

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P(x≥100)=P( z ≥ 1 )

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P(z≥1)=1-P(z≤1)

And finally we use the chart:

<u>the value of P(z≤1) is in the table, we look for the row with +1 and the column with the decimal part (in this case 0) and with coordinates (1,0) there´s the value</u>:

P(z≤1)=0.8413

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P(z≥1)=1-P(z≤1)

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P(x≤0)=P(z≤-9)≈0

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