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3 years ago

Quadrilateral HIJK is similar to quadrilateral LMNO. Find the measure of side OL.

Mathematics

1 answer:

nataly862011 [7]3 years ago

5 0

Answer:

OL = 128.2

Step-by-step explanation:

If the two quadrilaterals are similar, the ratio of their corresponding sides are equal;

Thus;

KJ/KH = NO/OL

19/42 = 58/OL

OL = (42 * 58)/19

OL = 128.2

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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

notsponge [240]

Answer: 0.1457

Step-by-step explanation:

Let p be the population proportion.

Given: The proportion of Americans who are afraid to fly is 0.10.

i.e. p= 0.10

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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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