Problem

The table below lists monthly life insurance prem…

Problem 43 Easy Difficulty

The table below lists the number of female athletes participating in the summer Olympic games for various years.
CAN'T COPY THE IMAGE
a) Use regression to find a cubic polynomial function $F$ that can be used to estimate the number of female athletes competing in the summer Olympic games $x$ years after $1900 .$ Round coefficients to five decimal places.
b) Estimate the number of female athletes competing in 2012
c) In what year will 6000 female athletes compete in the summer Olympic games?

Answer

(a) $F(x)=-0.03587 x^{3}+10.35169 x^{2}-871.97543 x+$ 23423.45189
(b) 5220 athletes;
(c) $2024 ; x=122,$ which gives 2022; the first games after 2022 will be in 2024

Related Courses

Algebra

Elementary and Intermediate Algebra

Chapter 6

Polynomial Factorizations and Equations

Section 7

Applications of Polynomial Equations

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Video Transcript

in the ocean it is given for the men sold a big 100 meter freestyle swimming even the time eggs can be committed by the given form. Now the time is effects. It is a function off eggs. There is equals toe minus five by four before we deployed by eggs plus go 76 point while Kate there x ranges from 1948 toe 2008 In the A park, they are asking Find Avenue off 2000. That means that time in the year off 2008. So that is a close to minus five by four before, and don't 1008 class to 76.18 so that will be equals. Two. A few multiply and divide. We will get this as minus 2 28.1 a. And this is true. 76.18 And that will give us 48. Second is the answer so we can come in that in the year photos and ate the timing Bus 48 2nd in the B bar. They're asking there for the women that time. Waas 53 2nd we need to find in which year the all time. The man's time in that days. Let's say the time in that guest effects is given s 53. That is a close to minus five by 44 times X plus to 76.18 Let's take this. Decide So we will get five by 44 X is a calls to the ozone is exporting. For a net minus 53 we will get to 23.1 Gate X. Is it because toe 23.18 into 44 divided by five there does equals toe or we can say approximately. He wants to 1964. So we can say in the year 1964 that died. As you can see, the equation this in question here accessing the demon, it is added in the value and access in the younger draws. So we can say if x in please, is this value in places this whole valuable decreased? So if excellently please. In that case, we can say for the expel new As the expert look increases this fun time will decrease so the men's will be being. Then all the record will be meeting for the previous years as the previous will be less so that time will be more. In that case, who we can save for that? Years from 1948 2 1964 The timing off man Bilby More than the timing off the women that is given its 53 that is that answer.

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