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barxatty [35]
3 years ago
7

Pythagorean theorem Find x.

Mathematics
2 answers:
nataly862011 [7]3 years ago
4 0

Answer:6

Step-by-step explanation:

from Pythagoras principle we get

x=√(10^2-8^2)

x=√(10x10-8x8)

x=√(100-64)

x=√(36)

x=6

FromTheMoon [43]3 years ago
3 0
X = 6

c^2 = a^2 + b^2
10^2 = 8^2 + x^2
100 = 64 + x^2
36 = x^2
6 = x
x = 6
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a) The expected value is 2.680642

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a) Lets call X the demanded amount of newspapers demanded, and Y the amount of newspapers sold. Note that 4 newspapers are sold when at least four newspaper are demanded, but it can be <em>more</em> than that.

X is a random variable of Poisson distribution with mean \mu = 3 , and Y is a random variable with range {0, 1, 2, 3, 4}, with the following values

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PY(2) = ε^(-3)*3^2/2! = 4.5*ε^(-3) = 0.22404

PY(3) = ε^(-3)*3^3/3! = 4.5*ε^(-3) = 0.22404

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E(Y) = 0*PY(0)+1*PY(1)+2*PY(2)+3*PY(3)+4*PY(4) =  0.14936 + 2*0.22404 + 3*0.22404+4*0.352768 = 2.680642

The store is <em>expected</em> to sell 2.680642 newspapers

b) The minimun number can be obtained by applying the cummulative distribution function of X until it reaches a value higher than 0.95. If we order that many newspapers, the probability to have a number of requests not higher than that value is more 0.95, therefore the probability to have more than that amount will be less than 0.05

we know that FX(3) = PX(0)+PX(1)+PX(2)+PX(3) = 0.04978+0.14936+0.22404+0.22404 = 0.647231

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