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Verizon [17]
3 years ago
6

Simplify sec x - tan x sin x

Mathematics
1 answer:
bazaltina [42]3 years ago
6 0

Answer:

cos x

Step-by-step explanation:

sec x - tan x sin x

\frac{1}{cosx} - \frac{sinx}{cosx} * sinx\\\\\frac{1}{cosx} - \frac{sin^{2}x}{cosx}\\\\\frac{1-sin^{2}x}{cosx}  \\\\\frac{cos^{2}x }{cosx} \\\\cosx

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4 years ago
A set of data with a mean of 53, and a standard deviation of 6.2 is normally distributed. Find the value of a data point that is
Evgesh-ka [11]

The value of a data point that is -2 standard deviations from the mean

so, 40.6 to 65.4.

<h3>What is the empirical rule?</h3>

According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.

P(\mu - \sigma < X < \mu + \sigma)  \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma)  \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma)  \approx 99.7\%

From the empirical rule, we know that for 95% we are in 2 standard deviations of the mean. so:

= 53- 6.2- 6.2

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Learn more about the empirical rule here:

brainly.com/question/13676793

#SPJ2

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