the sport zone sells packages that contain 2 golf balls and 5 golf tees. George bought enough packages to have 30 golf tees.how
1 answer:
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Answer:
11.51% probability that it will take less than 450 days to train all the contestants.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For the sum of n variables, the mean is and the standard deviation is
In this question:
Approximate the probability that it will take less than 450 days to train all the contestants.
This is the pvalue of Z when X = 450.
By the Central Limit Theorem
has a pvalue of 0.1151
11.51% probability that it will take less than 450 days to train all the contestants.
Answer:
There is approximately 5.475 liters of blood in the body.
Step-by-step explanation:
At a resting pulse rate of 75 beats per minute, the human heart typically pumps about 73 ml of blood per beat.
73 ml in liters = liters
Now, 75 beats/min x 0.073 liters/beat = 5.475 liters/min
And 5.475 liters/min x 1 min/body = 5.475 liters/body
Hence, there is approximately 5.475 liters of blood in the body.