2 years ago

How do I solve these?

1 answer:

4 0

The tangent line means you are trying to find the point where the derivative equals 6. And then you can use the IVT and the MVT to solve the other two

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In 1970 there were estimated to be around 40,000 Bengal Tigers in the world. The population of Bengal Tigers decreased by an ave

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3 years ago

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From experience, an airline knows that only 80% of the passengers booked for a certain flight actually show up. If 9 passengers

Olenka [21]

Answer: 0.74

Step-by-step explanation:

Given : The probability that the passengers booked for a certain flight actually show up : p=0.80

The number of passengers are randomly selected : n= 9

Binomial probability formula to find the probability of getting success in x trial :-

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

Then , the probability that more than 6 of them show up will be :-

$P(x>6)=P(7)+P(8)+P(9)\\\\=^9C_7(0.8)^7(0.2)^{2}+^9C_8(0.8)^8(0.2)^{1}+^9C_9(0.8)^9(0.2)^{0}\\\\=\dfrac{9!}{7!(9-7)!}(0.8)^7(0.2)^{2}+(9)(0.8)^8(0.2)+(1)(0.8)^9\approx0.3020+0.3020+0.1342=0.7382\approx0.74$