Which pair of numbers is relatively prime?
2 answers:
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Using the normal approximation to the binomial, it is found that:
- The mean of X is of 52 samples.
- The standard deviation of X is of 4.2661 samples.
- 0.0017 = 0.17% probability that less than half without any traces of pesticide.
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Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
Can be approximated to a normal distribution, with mean given by:
And standard deviation of:
Normal probability distribution
Z-score formula is used, which, in a set with mean and standard deviation
, the z-score of a measure X is given by:
- Each z-score has an associated p-value, which measures the percentile of measure X.
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- 65% of samples had no pesticide, thus
- 80 samples, thus
The mean of X is of:
The standard deviation of X is of:
Using the approximation and continuity correction, the probability is , which is the p-value of Z when X = 39.5. Thus:
has a p-value of 0.0017, thus:
0.0017 = 0.17% probability that less than half without any traces of pesticide.
A similar problem is given at brainly.com/question/24261244
The earth is 40000 kilometers around. There is no need to round off because the circumference already contains significant figures.
How do I calculate a circle's circumference?
A circle's diameter is multiplied by to determine its circumference (pi). You can also determine the circumference by multiplying 2radius by pi (=3.14).
Given: theta angle (central) = 7.2°; arc length S = 800 km
This indicates that an 800 km long arc is extending a circle with a 7.2° center angle ( earth in this case).
By definition, "An arc's length is a portion of a circle's diameter."
Therefore, we must first establish what percentage of the circle the specified arc length represents.
360° is a complete circle.
Thus, the fraction equals 7.2°/360°, or 1/50.
As a result, the stated arc length (800km) with a 7.2° central angle is 1/50th of the entire circle.
Thus, the whole circumference is 800 x 50, or 40000 km.
Alternately, you can calculate circumference using the formula below:
360° center angle x arc length as the circumference (theta)
Values substituted: circumference 800 = 360° 7.2°
circumference = 360°, 800°, and 7.2°, or 40000 kilometers
Therefore, the earth is 40000 kilometers around. There is no need to round off because the circumference already contains significant figures.
Learn more about Circumference
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