Mason cuts a giant circular cookie into 5 equal pieces. Which statements are true about the angle measures of the pieces?

Mathematics

1 answer:

Jobisdone [24]2 years ago

6 0

Answer:

A statement that is true about the angle measures of the pieces is that the angle measure of each piece is 72°. This is because there are 360° in a full circle, and if each piece is equal, that means that each piece is a fifth of that. Therefore, the angle measure is 360/5= 72°

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A TV company when purchasing thousands electronic components apply this sampling plan: randomly select 15 of them and then accep

katrin [286]

<h2>Answer with explanation:</h2>

According to the Binomial probability distribution ,

Let x be the binomial variable .

Then the probability of getting success in x trials , is given by :

$P(X=x)=^nC_xp^x(1-p)^{n-x}$ , where n is the total number of trials or the sample size and p is the probability of getting success in each trial.

As per given , we have

n = 15

Let x be the number of defective components.

Probability of getting defective components = P = 0.03

The whole batch can be accepted if there are at most two defective components. .

The probability that the whole lot is accepted :

$P(X\leq 2)=P(x=0)+P(x=1)+P(x=2)\\\\=^{15}C_0(0.03)^0(0.97)^{15}+^{15}C_1(0.03)^1(0.97)^{14}+^{15}C_2(0.03)^2(0.97)^{13}\\\\=(0.97)^{15}+(15)(0.03)^1(0.97)^{14}+\dfrac{15!}{2!13!}(0.03)^2(0.97)^{13}\\\\\approx0.63325+0.29378+0.06360=0.99063$