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.
Answer:
Volume of the cone: 32π cubed unit
Step-by-step explanation:
Volume of cone: V=1/3hπr²
1/3 x 6 x π x 4^2 = 32π
3 and four sevenths bcs 25divided by seven is 3r4
Answer:
We can find the radius from circumference and then area
Circumference(C) = 2πr
r = C/2π
r = 20/2π
r = 10/π
Area = πr²
Area = π × 10/π × 10/π
Area = 100/π
Area = 100/3.14
Area = 10000/314 = 31.84 cm² (approx)
Area = 32 cm² (Rounding to nearest whole number)
