# Will Meteorites Travelling on a Parabolic Path Strike the Earth?

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The earth with center at the origin has equation of xsquared + ysquared =65 where x and y are distances in thousands of kilometers. Will either of these two meteorites whose equations I will give you strike the earth? The first meteorite is a parabola whose equation is 18x-ysquared = -144. Please show all steps in sketching and show how you would use y-intercept to help estimate its path. The second meteorite is coming from the lower left along one branch of the parabola whose equation I just gave you. This second meterorite's equation is 4(xsquared) - ysquared - 80x = - 340. Will it strike the earth and where? Show sketch and please give basic steps

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##### Solution Summary

It is determined whether two meteroites travelling on different paths will strike the Earth. Diagrams and explanations of calulations are included.

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If the equation of the earth with its center at the origin is xsquared + ysquared =65 where x and y are distances in thousands of kilometers will either of two meteroites with equations below strike the earth.

Posting The earth with center at the origin has equation of xsquared + ysquared =65 where x and y are distances in thousands of kilometers. sketch and show how you did it. Will either of these two meteorites whose equations I will give you strike the earth. The first meteorite is a parabola whose equation is 18x-ysquared = -144 Please ...

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- BSc , Wuhan Univ. China
- MA, Shandong Univ.

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- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"

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