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pogonyaev
3 years ago
5

In this polygon Find x

Mathematics
1 answer:
max2010maxim [7]3 years ago
7 0

Answer:

x=125

Step-by-step explanation:

A 7 sided figure (heptagon) has interior angles equaling 900°. (7-2)x180

900-60-90=750

6x=750

x=750÷6

x=125

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In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist
Tcecarenko [31]

Answer:

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b. 0.9968

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Step-by-step explanation:

a. np and n(1-p) can be calculated as:

np=23\times 0.48\\\\=11.04\\\\n(1-p)=23(1-0.52)\\\\=11.96

#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:

\mu_x=11.04\\\\\sigma^2=np(1-p)=0.48\times 0.52\times 23=5.7408

#Define Y:

Y~(11.04,5.7408)

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b. The  probability that 5 or more fish were caught.

#Using normal approximation:

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Hence, the probability of catching 5+ is 0.9968

c. The probability of between 5 and 12 is calculated as;

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Hence, the probability of between 5 and 12 is 0.7259

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3 years ago
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