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tino4ka555 [31]
3 years ago
11

The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown. Wh

at is the smallest possible perimeter of the triangle, rounded to the nearest hundredth?
Mathematics
2 answers:
shusha [124]3 years ago
7 0

Answer:

72.4 in.

Step-by-step explanation:

Butoxors [25]3 years ago
6 0
If the triangle were right-angled then the other 2 sides would be of length 30 / sqrt2 = 21.213 inches.

But it is acute angled so they will be a bit longer than this
 they could be say 21.215 inches

So the required perimeter =   30 + 2*21.215 =  72.43  inches to nearest hundredth
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3 years ago
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The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typo
muminat

Answer:

The required probability is 0.55404.

Step-by-step explanation:

Consider the provided information.

The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typographical errors on a page of second booklet is a Poisson random variable with mean 0.3.

Average error for 7 pages booklet and 5 pages booklet series is:

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According to Poisson distribution: {\displaystyle P(k{\text{ events in interval}})={\frac {\lambda ^{k}e^{-\lambda }}{k!}}}

Where \lambda is average number of events.

The probability of more than 2 typographical errors in the two booklets in total is:

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Hence, the required probability is 0.55404.

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3 years ago
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