Shama’s age is three times the age of her son Ankit. 10 years ago Shama
1 answer:
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3 sin x = 2 ( 1 - sin² x )
3 sin x = 2 - 2 sin² x
2 sin² x + 3 sin x - 2 = 0
Substitution: t = sin x
2 t² + 3 t - 2 = 0
t 1/2 =
t 1 = 1/2
t 2 = - 2 ( this solution is not acceptable )
sin x = 1/2
Answer:
x 1 = π / 6 + 2 kπ, x 2 = 5 π / 6 + 2 k π, k ∈ Z
3 sin x = 2 - 2 sin² x
2 sin² x + 3 sin x - 2 = 0
Substitution: t = sin x
2 t² + 3 t - 2 = 0
t 1/2 =
t 1 = 1/2
t 2 = - 2 ( this solution is not acceptable )
sin x = 1/2
Answer:
x 1 = π / 6 + 2 kπ, x 2 = 5 π / 6 + 2 k π, k ∈ Z
Answer: 34%
Step-by-step explanation:
According to the Empirical rule,
About 68% of the population lies with in one standard deviation from the mean.
i.e. About 34% of the population lies above one standard deviation from the mean .
and About 34% of the population lies below one standard deviation from the mean.
Given : The distribution of the number of daily requests is bell-shaped ( i.e. Normally distribution) and has a mean of 60 and a standard deviation of 11.
i.e.
Using the Empirical Rule rule, 34% of the population of lightbulb replacement requests lies above one standard deviation from the mean .
i.e. About 34% of the population of lightbulb replacement requests lies between and
i.e. About 34% of the population of lightbulb replacement requests lies between and
i.e. About 34% of the population of lightbulb replacement requests lies between 60 and 71
Hence, the approximate percentage of lightbulb replacement requests numbering between 60 and 71 = 34%