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3 years ago

Which is the approximate measure of angle Y? Use the law of sines to find the answer.

Mathematics

2 answers:

vitfil [10]3 years ago

8 0

Siny/2.7=sin63/2.8

siny=2.7sin63/2.8

y=arcsin((2.7sin63)/2.8)

y≈59.23° (to nearest one-hundredth of a degree)

Dafna1 [17]3 years ago

6 0

Sin (Y)/ 2.7 = sin(63)/2.8
Y=arcsin((2.7 sin 63)/2.8
Y= 59.23 degrees

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Answer:

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Step-by-step explanation:

Data given and notation

$\bar X=1.20$ represent the sample mean given

$\sigma = 0.14$ represent the population standard deviation

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We need to conduct a hypothesis in order to check if the true mean for the gasoline prices is lower than 1.25, the system of hypothesis would be:

Null hypothesis: $\mu \geq 1.25$

Alternative hypothesis: $\mu < 1.25$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{1.20-1.25}{\frac{0.14}{\sqrt{49}}}=-2.50$

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