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Shtirlitz [24]
3 years ago
12

Savannah is writing an article for the school paper on the next school election. She surveys 20 of her friends and finds that 17

plan on voting for Angie Ruiz for president. In the article, Savannah wrote that she expects 85% of the student population to vote for Angie Ruiz. Why is this a poor estimate of the election outcomes?
Mathematics
1 answer:
Sonbull [250]3 years ago
4 0

Answer:

A. The students were not chosen randomly.

Step-by-step explanation:

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+12

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3 years ago
Find sin 2a and cot 2a:
geniusboy [140]

Answer:

sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cot(2\alpha ) = \frac{16511}{18720}

Step-by-step explanation:

\text{if } cos(\alpha)=\frac{12}{13}\\\text{That must mean we have a triangle with base 12, and hypotenuse 13.}\\\text{Using Pythagoras, we can determine the base of the triangle must be 5.}\\a^2+b^2=c^2 \text{, where c is the hypotenuse and a, b are the two other sides.}\\c^2-b^2=a^2\\\sqrt{c^2-b^2}=a\\\sqrt{13^2-12^2}=\sqrt{169-144}=\sqrt{25}=5\\\text{Therefore, }sin(\alpha) = \frac{5}{12}\\sin(2\alpha)=2sin(\alpha )cos(\alpha)\\\text{(From double angle formulae identities)}\\

sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cos(2\alpha )=cos^2(\alpha)-sin^2(\alpha)\\cos(2\alpha )=(\frac{12}{13})^2-(\frac{5}{12})^2=\frac{16511}{24336}\\cot(2\alpha)=\frac{cos(2\alpha)}{sin(2\alpha)}=\frac{\frac{16511}{24336}}{\frac{10}{13}}=\frac{16511}{18720}

8 0
3 years ago
What 2 numbers multiply to -18 and add up to -4
ivann1987 [24]

Answer:

-9 x 1 x 1 x 1 x 2 = (-18)

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5 0
3 years ago
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