Find the measure of the missing angle *
1 answer:
Answer:
≈ 49.9° and ≈ 71.0°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin? = =
, then
? = (
) ≈ 49.9° ( to the nearest tenth )
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Using the cosine ratio in the right triangle
cos? = =
, then
? = (
) ≈ 71.0° ( to the nearest tenth )
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Answer:
99.38%
Step-by-step explanation:
We have that the mean (m) is equal to 124, the standard deviation (sd) 6.4 and the sample size (n) = 64
They ask us for P (x <126)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (126 - 124) / (6.4 / (64 ^ 1/2))
z = 2.5
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <2.5) = 0.9938
The probability is 99.38%
