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gtnhenbr [62]
3 years ago
7

I NEED FAST HELP!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Sindrei [870]3 years ago
7 0

Answer:

The student is expected to spend <em>15.4 hours </em>doing homework

Step-by-step explanation:

The scattered plot shows there is a close correlation between the variables. A line of best fit will go through the 'center' of the points. Since we are not required to find an exact line, we'll draw it in red color as shown below

To know the equation of that line, we must take two clear points of it from the graph. We'll pick (28,4) and (4,25)

The equation of a line, given two points (a,b) and (c,d) is

\displaystyle y-b=\frac{d-b}{c-a}(x-a)

Using the selected points

\displaystyle y-4=\frac{25-4}{4-28}(x-28)

Simplifying and computing results, the equation is

\displaystyle y=-\frac{7}{8}x+\frac{57}{2}

Using that equation, we can predict how many hours the students will spend doing homework if they spend 15 hours watching TV

\displaystyle y=-\frac{7}{8}(15)+\frac{57}{2}=15.4 hours

So the student is expected to spend 15.4 hours doing homework

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Answer:

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6 0
1 year ago
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Find the radius of convergence, r, of the series. ? n2xn 7 · 14 · 21 · ? · (7n) n = 1
defon
I'm guessing the series is supposed to be

\displaystyle\sum_{n=1}^\infty\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}

By the ratio test, the series converges if the following limit is less than 1.

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7\cdot14\cdot21\cdot\cdots\cdot(7n)\cdot(7(n+1))}}{\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}}\right|

The first n terms in the numerator's denominator cancel with the denominator's denominator:

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7(n+1)}}{n^2x^n}\right|

|x^n| also cancels out and the remaining factor of |x| can be pulled out of the limit (as it doesn't depend on n).

\displaystyle|x|\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2}{7(n+1)}}{n^2}\right|=|x|\lim_{n\to\infty}\frac{|n+1|}{7n^2}=0

which means the series converges everywhere (independently of x), and so the radius of convergence is infinite.
3 0
3 years ago
Find the perimeter of each figure by writing and solving an ewuation for the varible, x​
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X = 6*x-1*6/6x-6=4x
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Jeff was counting the squirrels and birds in the park. He counted 16 heads and 44 legs. How many birds did Jeff count?
hodyreva [135]
So 1 head per squirel and 1 head per bird
4 legs per squirel and 2 legs per bird
s=number of squirels
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the equatinos should be
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2b+4s=number of legs=44
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b+s=16 and 2b+4s=44
simplify the second equaiton by divideinb by 2
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divide 2
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b+2s=22
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subsitute
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subtract 6 from both sides
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NNADVOKAT [17]

Answer:

10.000.000, all of them.

Step-by-step explanation:

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4 0
2 years ago
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