<span> a) F' = 6 sin(x^2) = 0
x^2 = pi
x = sqrt(pi)
b) Fmax = F(1) + integral [1, pi] f(x) dx = 9.7743 </span>
I’m not positive but I think all you have to do is minus 62 from 180 which would be 119
Answer:
Yes, one of a rhombus's properties is that the diagonals bisect vertex angles.
The square of a whole number n lies between 80 and 150, so n lies between √80 and √150.
n is a whole number and lies between 8.9 and 12.2, so n can be 9, 10, 11, or 12.
The possible values for n are 9, 10, 11, and 12.
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.
