It is possible to prove congruency of two triangles by comparing the size of corresponding angles only

1 answer:

7 0

Nope because congruent triangles mean directly equal to. two triangles can have the same angles but unequal lengths, hence congruency cannot be proven by using angles only

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Suppose that a batch of 100 items contains 6 that are defective and 94 that are not defective. If X is the number of defective i

Taya2010 [7]

Answer: a) 0.5386 b) 0.0188

Step-by-step explanation:

Let X is the number of defective items in a randomly drawn sample of 10 items from the batch with parameter :

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Binomial probability distribution:-

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

We have ,

$P(X=0)=^{10}C_0(0.06)^0(0.94)^{10}\\\\=(1)(0.94)^{10}\\\\=0.538615114095\approx0.5386$

$P(X>2)=1-P(x\leq2)=1-(P(x=0)+P(x=1)+P(x=2))\\\\=1-(^{10}C_0(0.06)^0(0.94)^{10}+^{10}C_1(0.06)^1(0.94)^{9}+^{10}C_2(0.06)^2(0.94)^{8})\\\\=1-(0.5386+(10)(0.06)(0.94)^9+(\dfrac{10!}{8!2!})(0.06)^2(0.94)^8)\\\\\approx1-(0.5386+0.3438+0.0988)\\\\=1-0.9812=0.0188$