Find the primary solution of cosθ=−0.3 ⁡

Mathematics

1 answer:

Agata [3.3K]3 years ago

4 0

The solution of cos θ = −0.3 is θ = 107.45760312 degrees

Solution:

Given that we have to find the primary solution of $cos \theta = -0.3$

To solve this equation, you must find the unknown (theta)

$cos \theta = -0.3$

Use the inverse of cosine (Arccos) to find the angle measurement (in degrees) of theta

$\theta = arccos (-0.3)$

We know that arccos (-0.3) = 107.45760312 degrees

[ If you reference a unit circle or use a calculator ]

$\theta = 107.45760312^{\circ}$

Therefore solution of cos θ = −0.3 is θ = 107.45760312 degrees

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Rachael got a 550 on the analytical portion of the Graduate Record Exam (GRE). If GRE scores are normally distributed and have m

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Answer:

Z=-2

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Step-by-step explanation:

1) 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".

$\mu=600$ represent the population mean for the Graduate Record Exam (GRE)

$\sigma=25$ represent the population standard deviation for Graduate Record Exam (GRE)

2) Solution to the problem

Let X the random variable that represent the Graduate Record Exam (GRE) of a population, and for this case we know the distribution for X is given by:

$X \sim N(600,25)$