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Rudik [331]
3 years ago
5

1 - 2sin^2(pi/3) = _____ cos pi/6 sin pi/6 cos 2pi/3 sin 2pi/3

Mathematics
1 answer:
ZanzabumX [31]3 years ago
6 0

Apply the cosine double angle identity to get:

Cos 2PI/3

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Answer:

y=3/4 x+1

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Find tsa of cylinder whose height is 7cm and radios 4cm.​
ki77a [65]

Answer:

Answer

Let height =h

Total surface area=2πr(r+h)

r=7cm

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6 0
3 years ago
Merta reports that 74% of its trains are on time. A check of 60 randomly selected trains shows that 38 of them arrived on time.
kenny6666 [7]

Answer:

No, the on-time rate of 74% is not correct.

Solution:

As per the question:

Sample size, n = 60

The proportion of the population, P' = 74% = 0.74

q' = 1 - 0.74 = 0.26

We need to find the probability that out of 60 trains, 38 or lesser trains arrive on time.

Now,

The proportion of the given sample, p = \frac{38}{60} = 0.634

Therefore, the probability is given by:

P(p\leq 0.634) = [\frac{p - P'}{\sqrt{\frac{P'q'}{n}}}]\leq [\frac{0.634 - 0.74}{\sqrt{\frac{0.74\times 0.26}{60}}}]

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Therefore, Probability of the 38 or lesser trains out of 60 trains to be on time is 0.0298 or 2.98 %

Thus the on-time rate of 74% is incorrect.

6 0
3 years ago
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