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antoniya [11.8K]
3 years ago
12

Jim bought the game system on sale for $195. Kaylen bought the same system at full price for $250. How much was the sale when ji

m bought the game system?
Mathematics
1 answer:
Arisa [49]3 years ago
3 0
The sale was 55$ because if you subtract those you get 55 which is the difference between the two
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The measures of the two acute angles of a right triangle are in the ratio 2:7. What are the measures of the two angles?
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Answer:

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A TV company when purchasing thousands electronic components apply this sampling plan: randomly select 15 of them and then accep
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<h2>Answer with explanation:</h2>

According to the Binomial probability distribution ,

Let x be the binomial variable .

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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

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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

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For sample size n= 2500

Expected value : \mu=np= (2500)(0.03)=75

The expected value = 75

Standard deviation :  \sigma=\sqrt{np(1-p)}=\sqrt{2500(0.03)(0.97)}\approx8.53

The standard deviation = 8.53

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Step-by-step explanation:

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