6 trigonometric ratio

Mathematics

1 answer:

kipiarov [429]2 years ago

3 0

Answer:

Step-by-step explanation:

$Sin \ 64 = \dfrac{opposite \ side}{hypotenuse}\\\\0.8988 = \dfrac{x}{14}\\\\0.8988 * 14 = x$

x = 12.5832

x = 12.6

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A machine is designed to fill 16-ounce bottles of shampoo. When the machine is working properly, the amount poured into the bott

Andreyy89

Answer:

(15.8495,16.2505)

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 16.05 ounces

Standard Deviation, σ = 0.2005 ounces

We are given that the distribution of amount poured into the bottles is a bell shaped distribution that is a normal distribution.

Empirical rule:

It states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ).

It shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

Confidence interval:

$\mu \pm 2\frac{\sigma}{\sqrt{n}}$