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Leviafan [203]
3 years ago
7

Help me with 16,18 and 20

Mathematics
2 answers:
Mandarinka [93]3 years ago
8 0
16: -7(5)= -35 ( REMEMBER THE MOUTH EATS THE BIGGEST NUMBER!)
     -6(-6)= 36   therefore 36 is greater than -35
18: they are exactly the same because in multiplication with inters it matters when the signs change. so 3(-6) = -18 ad -3(6)= -18 then -18=-18
20: Same as 18 where division has the same rules. if 8x5=40 then 40/8=5
-40/8=-5 and 40/(-8)=-5 then -5=-5
answers: 
Liono4ka [1.6K]3 years ago
4 0
That is your answer below
16. >
18. <
20. >
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According to a study conducted by the Gallup Organization, the the proportion of Americans who are afraid to fly is 0.10. A rand
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Answer: 0.1457

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Sample proportion of Americans who are afraid to fly =\hat{p}=\dfrac{121}{1100}=0.11

We assume that the population is normally distributed

Now, the probability that the sample proportion is more than 0.11:

P(\hat{p}>0.11)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.11-0.10}{\sqrt{\dfrac{0.10(0.90)}{1100}}})\\\\=P(z>\dfrac{0.01}{0.0090453})\ \ \ [\because z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}} ]\\\\=P(z>1.1055)\\\\=1-P(z\leq1.055)\\\\=1-0.8543=0.1457\ \ \ [\text{using z-table}]

Hence, the probability that the sample proportion is more than 0.11 = 0.1457

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