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3 years ago

Application of geometric and arithmetic sequence and series in real life. Please show your solution.

Mathematics

1 answer:

Mariana [72]3 years ago

8 0

Answer:

the amount on your savings account ;

the amount of money in your piggy bank if you deposit the same amount each week (a bank account with regular deposits leads you to arithmetico-geometric sequences) ;

the size of a population in exponential growth, e.g. bacteria in a Petri dish (or in your leftovers if you find Petri dishes not "every day life" enough) ;

the intensity of radioactivity after n years of a given radioactive material (with application to determining the age of mommies!).

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Suppose your professor reports that across all of her classes over the past 10 years, she found a -0.63 correlation between numb

Aleonysh [2.5K]

Using correlation coefficients, it is found that the -0.63 correlation between number of absences and final exam score means that there is a strong negative correlation between number of absences and final exam score.

<h3>What is a correlation coefficient?</h3>

It is an index that measures correlation between two variables, assuming values between -1 and 1.

If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.

If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.

In this problem, the correlation is of -0.63, hence:

It means that that there is a strong negative correlation between number of absences and final exam score.

To learn more about correlation coefficients, you can take a look at brainly.com/question/25815006

4 0

2 years ago

a real estate company sells 8 houses per month write an equation to find the total number of houses h sold in any number of mont

Verdich [7]

H=8x,so a real estates will sell 120 houses in 15 months. Hope it help!

3 0

3 years ago

50. If Ken is taller than Scott, then Dale is shorter than Connie. Which of the following must be true?

Hunter-Best [27]

Answer:

would it be A

Step-by-step explanation:

5 0

4 years ago

Write the quadratic equation whose roots are 3 and -5, and whose leading coefficient is 2.

Rainbow [258]

$\begin{cases} x=3\implies &x-3=0\\ x=-5\implies &x+5=0 \end{cases}\qquad \implies\qquad a(x-3)(x+5)=\stackrel{0}{y} \\\\\\ a(\stackrel{F~O~I~L}{x^2+2x-15})=y\implies \stackrel{\textit{leading coefficient of 2}}{2(x^2+2x-15)}=y\implies 2x^2+4x-30=y$

Check the picture below.

5 0

2 years ago

Need help and explain please!!

lukranit [14]

Answer:

$x=-4\text{ and } x=3$

Step-by-step explanation:

We are given the second derivative:

$g''(x)=(x-3)^2(x+4)(x-6)$

And we want to find its inflection points.

To do so, we will first determine possible inflection points. These occur whenever g''(x) = 0 or is undefined.

Next, we will test values for the intervals. Inflection points occur if and only if the sign changes before and after the point.

So first, finding the zeros, we see that:

$0=(x-3)^2(x+4)(x-6)\Rightarrow x=-4, 3, 6$

So, we can draw the following number-line:

<----(-4)--------------(3)----(6)---->

Now, we will test values for the intervals x < -4, -4 < x < 3, 3 < x < 6, and x > 6.

Testing for x < -4, we can use -5. So:

$g^\prime^\prime(-5)=(-5-3)^2(-5+4)(-5-6)=704>0$

Since we acquired a positive result, g(x) is concave up for x < -4.

For -4 < x < 3, we can use 0. So:

$g^\prime^\prime(0)=(0-3)^2(0+4)(0-6)=-216$

Since we acquired a negative result, g(x) is concave down for -4 < x < 3.

And since the sign changed before and after the possible inflection point at x = -4, x = -4 is indeed an inflection point.

For 3 < x < 6, we can use 4. So:

$g^\prime^\prime(4)=(4-3)^2(4+4)(4-6)=-16$

Since we acquired a negative result, g(x) is concave down for 3 < x < 6.

Since the sign didn't change before and after the possible inflection point at x = 3 (it stayed negative both times), x = -3 is not a inflection point.

And finally, for x > 6, we can use 7. So:

$g^\prime^\prime(7)=(7-3)^2(7+4)(7-6)=176>0$

So, g(x) is concave up for x > 6.

And since we changed signs before and after the inflection point at x = 6, x = 6 is indeed an inflection point.

3 0

3 years ago

Application of geometric and arithmetic sequence and series in real life. Please show your solution. ​

Application of geometric and arithmetic sequence and series in real life. Please show your solution.