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3 years ago

Can two obtuse angles be verticle?

Mathematics

1 answer:

MariettaO [177]3 years ago

7 0

I assume when you say vertical you mean a straight line.

If so, then the answer is NO, two obtuse angles cannot be vertical. Obtuse angles have to be greater than 90 degrees, so the least an obtuse angle can be is 91 degrees.

91 + 91 = 182, and a straight line is 180 degrees.

So two obtuse angles cannot be vertical because even the lowest degrees that two obtuse angles can be is greater than 180 degrees (a straight line).

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3 years ago

A random sample of adults were asked whether they prefer reading an e-book over a printed book. The survey resulted in a sample

djyliett [7]

Answer: $(0.10\ ,\ 0.18)$

Step-by-step explanation:

According to the empirical rule, the 95% confidence interval for the true population proportion is given by :-

$(p'-2\sigma_{p'}\ ,\ p'+2\sigma_{p'})$

Given : . The survey resulted in a sample proportion of p′=0.14, with a sampling standard deviation of σp′=0.02, who preferred reading an e-book.

Then, the 95% confidence interval for the true proportion of adults who prefer e-books will be :-

$(0.14-2(0.02)\ ,\ 0.14+2(0.02))\\\\=(0.14-0.04\ ,\ 0.14+0.04)\\\\=(0.10\ ,\ 0.18)$

Hence, the 95% confidence interval for the true proportion of adults who prefer e-books= $(0.10\ ,\ 0.18)$

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2 years ago