Answer:
e. m = 16.2; s = 1.27
Step-by-step explanation:
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we can assume that the distribution for X is given by:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Normal approximation
We need to check the condition in order to use the normal approximation.
So we see that we satisfy the condition and then we can apply the approximation.
If we appply the approximation the new mean and standard deviation are:
The best answer would be:
e. m = 16.2; s = 1.27
Using relations in a right triangle, it is found that:
sin(x) = cos(y) = 0.6.
Since angles x and y are complementary, we have that sin(x) = cos(y), that is, the ratio is of 1.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
Applying the Pythagorean Theorem, the hypotenuse is given by:
h² = 3² + 4²
h² = 25
h = 25.
Hence, applying the definitions:
Since angles x and y are complementary, we have that sin(x) = cos(y), that is, the ratio is of 1.
More can be learned about relations in a right triangle at brainly.com/question/26396675
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Yes, 180-49= 131 b=131
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Answer: The percent of female commissioned officers in the army in 1940= 5.3%
Step-by-step explanation:
We are given that ,
The number of commissioned officers reported by U.S. Army in 1940 = 17,563
The number of female commissioned officers = 939
Then , the number of female commissioned officers in the army in 1940 would be :-
Hence, the percent of female commissioned officers in the army in 1940= 5.3%
What figure you didn't post it???
