your answer would be 180 cubic inches which is option C
Answer:
larry is incorrect because the number 2 is not a composite number, although numbers 12, 22, 32, 42, 52, 62, 72, 82, and 92 are composite, 2 isn't
Answer:
Ф = CO/(6 units)
Step-by-step explanation:
The formula for arc length is s = rФ, where Ф is the central angle. This can be solved for Ф, the central angle:
arc length
Ф = ------------------
radius
If the given arc length is represented by CO, then the central angle is
Ф = CO/(6 units)
Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.
2 standard deviations = 2 × 0.5 = 1
63 - 1 = 62 seconds
63 + 1 = 64 seconds
Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.
Rewriting the left hand side,
csc²t - cost sec t
= (1/sin²t)-(cost)(1/cost)
= 1/sin²t - 1
= 1/sin²t - sin²t/sin²t
= (1-sin²t)/sin²t
= cos²t/sin²t
= cot²t
