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3 years ago

Help finding the length of arc RS using 3.14 for pi

Mathematics

2 answers:

jek_recluse [69]3 years ago

8 0

Answer:

the answer is 17

Step-by-step explanation:

katen-ka-za [31]3 years ago

5 0

Answer:

$8.48in$

Step-by-step explanation:

The length of arc RS is given by:

$l=\frac{\theta}{360}\times 2\pi r$

From the diagram the radius is $r=6.48 in$ and the central angle of sector RS is $\theta=150\degree$

We use $\pi=3.14$ and substitute the radius and central angle to obtain:

$l=\frac{150}{360}\times 2\times3.14\times 6.48in$

We simplify to get:

$l=\frac{5}{12}\times 2\times 6.48in$

$l=\frac{5}{6}\times 3.14\times 6.48in^2$

$l=8.48in$

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Answer:

The appropriate alternative hypothesis is, Hₐ: p₁ - p₂ > 0.

Step-by-step explanation:

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That is he wants to determine whether people with a detectable level of triclosan have higher rates of carrying the staph bacteria than people without triclosan.

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H₀: The proportion of people with a detectable level of triclosan does not have higher rates of carrying the staph bacteria than people without triclosan, i.e. p₁ - p₂ ≤ 0.

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Thus, the appropriate alternative hypothesis is, Hₐ: p₁ - p₂ > 0.