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2 years ago

What is the angle measure θ in degrees such that cos(θ) = 2/16? Round your answer to the nearest degree.

Mathematics

1 answer:

Marina86 [1]2 years ago

8 0

Answer: 83 degrees

Step-by-step explanation:

In order to find theta, you must take the arccosine of both sides. The arccosine eliminates the cosine, and extracts the argument. Therefore:

$cos(x)=\frac{2}{16} =\frac{1}{8}$

$arccos(cos(x))=arccos(\frac{1}{8} )=x$

Use a calculator the find the arccosine of 1/8. Its nearly impossible to find the exact answer without one:

$x=arccos(\frac{1}{8} )$

$x=83$

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The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,608 kilowatt hours (kWh

Marat540 [252]

Answer:

The calculated value Z = 1.4460 < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

A local power company believes that residents in their area use more electricity on average than EIA's reported average

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 10,608 kWh of electricity this year.

Given that the size of the sample n = 187

Given that mean of sample x⁻ = 10737 kWh

The Standard deviation of the Population = 1220kWh

Level of significance = 0.05

The critical value (Z₀.₀₅)= 1.96

Step(ii):-

Null Hypothesis: H₀:μ > 10608 kWh

Alternative Hypothesis: H₁: μ < 10608kWh

Test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{10737- 10608 }{\frac{1220}{\sqrt{187} } }$

Z = 1.4460

Final answer:-

The calculated value Z = 1.4460 < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

A local power company believes that residents in their area use more electricity on average than EIA's reported average.

3 0

3 years ago

Abigail, who works for a region's department of health, is looking for evidence that the percentage of adults in the region who

Murrr4er [49]

Answer: $H_0: p\geq0.158\\\\ H_a:p$

Step-by-step explanation:

Let p be the population proportion of adults who were surveyed are current smokers.

Given claim : Abigail, who works for a region's department of health, is looking for evidence that the percentage of adults in the region who are current smokers has decreased from 15.8% in 2015.

i.e. $p$

Since the alternative hypothesis takes unequal sign .

Then , the null and alternative hypotheses for this hypothesis test will be :_

$H_0: p\geq0.158\\\\ H_a:p$

8 0

3 years ago

What does it equal 240 fl oz = c

VLD [36.1K]

It would equal 30 c cuz there is 8 fluid oz in a cup

4 0

3 years ago

Read 2 more answers

Which value of p makes the equation 18+ 2 (3p – 8) = –37 true?

Volgvan

Answer:

p = -6.5

Step-by-step explanation:

Given:

18+ 2 (3p – 8) = –37

Solving for p:

18+ 2 (3p – 8) = –37
18 + 6p - 16 = -37
6p + 2 = -37
6p = -37 - 2
6p = -39
p = -39/6
p = -6.5

Option 2 is correct in the list

3 0

3 years ago

Did y’all can’t couldn’t see the other one, here is this one, NEED HELP please and thank you

docker41 [41]

Answer:

god

Step-by-step explanation:

cause god is always the answer ;)

8 0

4 years ago