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STALIN [3.7K]
3 years ago
8

I am stuck and I hate maths so please help me

Mathematics
1 answer:
Scilla [17]3 years ago
3 0

Answer:

h = 21.2 cm

Step-by-step explanation:

You know the measure of one acute angle. It is 23 deg.

For that acute angle, the 9-cm leg is the opposite leg, and the h-cm leg is the adjacent leg. The trig ratio that relates the opposite leg to the adjacent leg is the tangent.

\tan A = \dfrac{opp}{adj}

\tan 23^\circ = \dfrac{9}{h}

h \tan 23^\circ = 9

h = \dfrac{9}{\tan 23^\circ}

h = \dfrac{9}{0.4245}

h = 21.2

Answer: h = 21.2 cm

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Answer:

The probability that there are 3 or less errors in 100 pages is 0.648.        

Step-by-step explanation:

In the information supplied in the question it is mentioned that the errors in a textbook follow a Poisson distribution.

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the expected value is, \lambda = E(x)

                                       = n × p

                                       = 100 × 0.03

                                       = 3

Therefore the we find the probability that there are 3 or less errors on the page as

     P( X ≤ 3) = P(X = 0) + P(X = 1) + P(X=2) + P(X=3)

                 

   Using the formula for Poisson distribution for P(x = X ) = \frac{e^{-\lambda}\lambda^X}{X!}

Therefore P( X ≤ 3) = \frac{e^{-3} 3^0}{0!} + \frac{e^{-3} 3^1}{1!} + \frac{e^{-3} 3^2}{2!} + \frac{e^{-3} 3^3}{3!}

                                 = 0.05 + 0.15 + 0.224 + 0.224

                                 = 0.648

 The probability that there are 3 or less errors in 100 pages is 0.648.                                

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