Answer:
distance travelled by sprinter = 100 m
Time taken = 11.21sec
∵speed = distance/time taken
= 100/9.83
= 10.17 m/s
Now we know, 1 km/h = 1000/3600 m/s
so, 1 m/s = 3600/1000 km/h = 18/5 km/h
∴ 10.17 m/s = 10.17 × 18/5 = 10.17 × 18/5 = 36.612 km/h
Hence, average speed = 36.612 km/h
Step-by-step explanation:
Answer:
5/12
Step-by-step explanation:
Given that,
Total no of cards = 12 with numbers 1 to 12
We need to find the probability of getting 5.
Probability = favourable outcomes/total no of outcomes
Favourable outcomes is 5 as it come one time
Total no of outcome = 12 (total no of cards)
So,

Hence, the probability of getting 5 is 5/12.
Using the t-distribution to build the 99% confidence interval, it is found that:
- The margin of error is of 3.64.
- The 99% confidence interval for the population mean is (19.36, 26.64).
<h3>What is a t-distribution confidence interval?</h3>
The confidence interval is:

In which:
is the sample mean.
- s is the standard deviation for the sample.
The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 21 - 1 = 20 df, is t = 2.086.
The other parameters are given as follows:

The margin of error is given by:

Hence the bounds of the interval are:


The 99% confidence interval for the population mean is (19.36, 26.64).
More can be learned about the t-distribution at brainly.com/question/16162795
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Answer:
28
Step-by-step explanation:
7+21=28
a-7=21