Answer:
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 38 minutes, standard deviation of 4.5 minutes.
Determine the interval that represents the middle 68% of her commute times.
Within 1 standard deviation of the mean. So
38 - 4.5 = 33.5 minutes
38 + 4.5 = 42.5 minutes.
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
The answer to this is A. 40
Answer:
X Intercepts: (4,0) and -9,0
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Using the sine ratio in the right triangle.
sinC = = = , thus
∠ C = ( ) ≈ 34.85° ( to 2 dec. places )
Answer:
No
Step-by-step explanation:
pi is irrational. That was proven long ago. Unfortunately the proof is harder to understand than the proof that the square root of 2 is irrational, which is accessible to most high school students.
To prove that p is irrational you need to understand calculus, up through integration. Even then, the proof is rather intense and takes careful attention.