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nikdorinn [45]
3 years ago
6

Population density is the number of people per unit of area. What is the population density of a state that has 1627260 people i

n 1490 square miles? Round to the nearest while number.
Mathematics
1 answer:
g100num [7]3 years ago
6 0
If state has 1627260 people and 1490 square miles, then we divide the number of people by the area and we get the density per square mile.

1627260 / 1490 = 1092,120805369128

After rounding it to the nearest whole number we get 1092.

The answer: In such a state 1092 people live in a square mile.
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a) P=0.558

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Step-by-step explanation:

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a) We can calculate that the approximate probability that between 4 and 9 (inclusive) as:

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P(4\leq x\leq 9)=\sum_{k=4}^9P(k)=0.195+0.156+0.104+0.060+0.030+0.013=0.558

b) The approximate probability that at least 9 carry the gene is:

P(x\geq9)=1-P(x\leq 8)\\\\\\

P(0)=4^{0} \cdot e^{-4}/0!=1*0.0183/1=0.018\\\\P(1)=4^{1} \cdot e^{-4}/1!=4*0.0183/1=0.073\\\\P(2)=4^{2} \cdot e^{-4}/2!=16*0.0183/2=0.147\\\\P(3)=4^{3} \cdot e^{-4}/3!=64*0.0183/6=0.195\\\\P(4)=4^{4} \cdot e^{-4}/4!=256*0.0183/24=0.195\\\\P(5)=4^{5} \cdot e^{-4}/5!=1024*0.0183/120=0.156\\\\P(6)=4^{6} \cdot e^{-4}/6!=4096*0.0183/720=0.104\\\\P(7)=4^{7} \cdot e^{-4}/7!=16384*0.0183/5040=0.06\\\\P(8)=4^{8} \cdot e^{-4}/8!=65536*0.0183/40320=0.03\\\\

P(x\geq9)=1-P(x\leq 8)\\\\P(x\geq9)=1-(0.018+0.073+0.147+0.195+0.195+0.156+0.104+0.060+0.030)\\\\P(x\geq9)=1-0.979=0.021

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