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Usimov [2.4K]
3 years ago
11

Not sure which one is itplz help

Mathematics
1 answer:
viva [34]3 years ago
7 0
The last one is correct answer
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Read 2 more answers
1. (a) Use the integral test to show that P[infinity] n=1 1/n4 converges. (b) Find the 10th partial sum, s10, of the series P[in
scZoUnD [109]

Answer:

Step-by-step explanation:

a) \int\limits^{\infty} _1 {\frac{1}{n^4} } \, dn\\ =\frac{n^{-3} }{-3}

Substitute limits to get

= \frac{1}{3}

Thus converges.

b) 10th partial sum =

\int\limits^{10} _1 {\frac{1}{n^4} } \, dn\\ =\frac{n^{-3} }{-3}

=\frac{-1}{3} (0.001-1)\\= 0.333

c) Z [infinity] n+1 1 /x ^4 dx ≤ s − sn ≤ Z [infinity] n 1 /x^ 4 dx, (1)

where s is the sum of P[infinity] n=1 1/n4 and sn is the nth partial sum of P[infinity] n=1 1/n4 .

(question is not clear)

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3 years ago
50% of babies are born female.Olive wants to find the probability 20 or more of the 50 babies born today were female. If we use
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D. Keep track of the number of heads flipped in 50 flips. These represent the number of females born today. Repeat this 200 times.

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