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BaLLatris [955]
3 years ago
6

a 5 inch tall bamboo shoots double in height every 3 days if the equation equals y=ab^x where x is a number of doubling periods

represent the height of the bamboo shoot what are the values of a and b
Mathematics
1 answer:
alekssr [168]3 years ago
4 0
A = initial amount, which is 5 inches

b = rate of increasing, in this case 200% or 2.0 (it's being doubled its height, so the rate would be twice as much as its full state)

Hope this helped!
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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.

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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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