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Temka [501]
3 years ago
15

If sin θ = 1 over 4 and tan θ > 0, what is the value of cos θ?

Mathematics
1 answer:
DiKsa [7]3 years ago
6 0
If you were to calculate the EXACT number, the cosine of theta would be rad.15 over 4.
Sine is opposite over hypotenuse, so the opposite would be 1 and the hypotenuse would be 4. Using the Pythagorean Theorem, you will see that the last side to your triangle is the square root of 15 (AKA rad.15). Cosine is adjacent over hypotenuse, thus rad.15 over 4.
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Answer:

P(\bar X

P(\bar X

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:

X \sim N(\mu,\sigma)  

And let \bar X represent the sample mean, the distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

On this case  \bar X \sim N(2.25,\frac{0.2}{\sqrt{12}})

Solution to the problem

We want this probability:

P(\bar X

The best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

If we apply this formula to our probability we got this:

P(\bar X

P(\bar X

5 0
3 years ago
What is 3 and 2/3 times 5 and 1/7 what does it equal
Naya [18.7K]
18 6/7<em /> is the awnser
3 0
3 years ago
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Mhanifa please help look at the picture attached
olga55 [171]

Answer:

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Step-by-step explanation:

<u>Given vertices of triangle:</u>

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Step-by-step explanation:

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8 0
3 years ago
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Ray Of Light [21]

Answer:

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Step-by-step explanation:

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So for 300 square foot = $0.85 x 300

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