Answer:
Step-by-step explanation:
Choose a random fraction less than 1. I will choose 1/4.
1/6 ÷ 1/4 = 1/6 × 4/1 = 4/6 = 2/3
2/3 > 1/6 so this example supports his claim.
Now chose a fraction greater than 1. I will choose 4/3
1/6 ÷ 4/3 = 1/6 * 3/4 = 3/24
3/24 < 1/6 so this contradicts his claim
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:
301.4
Step-by-step explanation:
Volume of a cylinder=pi*
*h. Assuming you want 3.14 for pi, we can substitue the 4m for r, 6 for h and 3.14 for pi.
V=3.14*
*6
V=301.44
Since you want to round to nearest tenths, the answer is 301.4
Answer:
The value of the x is 1/9.
Step-by-step explanation:
Data provided in the question is:
To find out:-
the value of x.
Solution for the equation:-
On solving the given question or equation by using mathematics of algebra we find out the value of x to be 1/9.
