Angle 0 lies in the second quadrant, and sin 0=3/5 Cos 0=

Mathematics

1 answer:

borishaifa [10]3 years ago

5 0

Answer:

-4/5

Step-by-step explanation:

Please use a symbol such as x or Ф to represent an angle; your 0 is too easily confused with zero.

If Angle Ф lies in the second quadrant, and sin Ф=3/5, find cos Ф.

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse: sin Ф = opp / hyp = 3 / 5. Thus the opp side has length 3 and the hyp has length 5. By the Pythagorean Theorem,

the adj side has length √(5² - 3²), or √(25-9), or √16, or ±4. Because the angle is in the 2nd quadrant, choose adj = -4.

Then the cosine of this angle is cos Ф = adj / hyp = -4 / 5

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lord [1]

Answer:

112°

Step-by-step explanation:

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3 years ago

In a population of 210 women, the heights of the women are normally distributed with a mean of 64.4 inches and a standard deviat

antoniya [11.8K]

Part A:

Given that i<span>n a population of 210 women, the heights of the women are normally distributed with a mean of 64.4 inches and a standard deviation of 2.9 inches.

If 36 women are selected at random, the mean of the sample is estimated by the mean of the population.

Thefore, the mean is given by: $\mu_{\bar{x}}=64.4 \ inches$

Part B:

The standard deviation using the finite population factor is given by:

$\sigma_{\bar{x}}= \frac{\sigma}{\sqrt{n}} \cdot \sqrt{\frac{N-n}{N-1} } \\ \\ = \frac{2.9}{\sqrt{36}} \cdot \sqrt{\frac{210-36}{210-1} } =\frac{2.9}{6} \cdot \sqrt{\frac{174}{209} } \\ \\ =0.4833(\sqrt{0.8325}) =0.4833(0.9124) \\ \\ =0.44$ </span>