9514 1404 393
Answer:
11.9 cm
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between the side opposite the angle (BC) and the hypotenuse (14 cm).
Sin = Opposite/Hypotenuse
sin(58°) = BC/(14 cm)
BC = (14 cm)×sin(58°) . . . . . multiply by the denominator
BC ≈ 11.9 cm
Answer:
2.5% of IQ scores are no more than 65
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 95
Standard deviation = 15
Using the empirical rule, what percentage of IQ scores are no more than 65?
65 = 95 - 2*15
So 65 is two standard deviations below the mean.
By the Empirical Rule, 95% of the measures are within 2 standard deviation of the mean. Of those 5% which are not, 2.5% are more than 2 standard deviations above the mean and 2.5% are more than 2 standard deviations below the mean.
So 2.5% of IQ scores are no more than 65
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