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3 years ago

What is the ratio for Cosine?

Mathematics

2 answers:

Degger [83]3 years ago

6 0

Answer:

In a right triangle, the cosine of an angle is the ratio of the length of the side adjacent to the angle divided by the length of the hypotenuse of the triangle. Figure 20.7 A right triangle with tangent ratio 9/14. sin ∠A = 9√277/277 and cos ∠A = 14√277/277.

klemol [59]3 years ago

5 0

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4 years ago

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4 years ago

Are 3x+1 and 3x equivalent Yes or No Explain why they are or aren't equivalent!!!

snow_tiger [21]

Answer:

Step-by-step explanation:

3x + 1 and 3x are different

Step 1: Lets put some numbers instead of x

x = 1

y = 3x + 1

y = 3(1) + 1

y = 4

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Attached are the graphs

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4 years ago

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. The

Tems11 [23]

Answer:

The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

They randomly survey 387 drivers and find that 298 claim to always buckle up.

This means that $n = 387, \pi = \frac{298}{387} = 0.77$

84% confidence level

So $\alpha = 0.16$ , z is the value of Z that has a p-value of $1 - \frac{0.16}{2} = 0.92$ , so $Z = 1.405$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.74$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.8$

The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).

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3 years ago