20 Points Available Find the measure of angle 2.
2 answers:
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The binomial distribution is given by,
P(X=x) =
q = probability of failure = 1-0.2 = 0.8
n = 100
They have asked to find the probability <span>of obtaining a score less than or equal to 12.
</span>∴ P(X≤12) =
where, x = 0,1,2,3,4,5,6,7,8,9,10,11,12
∴ P(X≤12) =
+ 
+ 
+ 
+ 
+ 
+ 
Evaluating each term and adding them you will get,
P(X≤12) = 0.02532833572
This is the required probability.
P(X=x) =
q = probability of failure = 1-0.2 = 0.8
n = 100
They have asked to find the probability <span>of obtaining a score less than or equal to 12.
</span>∴ P(X≤12) =
where, x = 0,1,2,3,4,5,6,7,8,9,10,11,12
∴ P(X≤12) =
Evaluating each term and adding them you will get,
P(X≤12) = 0.02532833572
This is the required probability.
Applying the division rule of exponents, 6^10/6^6 can be rewritten in the form of b^n as: 6^10/6^6 = 6^4.
<h3>What is the Division Rule of Exponents?</h3>The division rule of exponents state that if we have a numerator and a denominator with the same base, the quotient will be the base, while we subtract the exponent value of the denominator from the exponent value of the numerator.
For example, if we have, a³/a², the division rule of exponents states that:
a^(3 - 2) = a^1 = a.
Given the expression, 6^10/6^6, we can rewrite the expression in the form of b^n by applying the division rule of exponents as shown below:
6^10/6^6 = 6^(10 - 6)
6^10/6^6 = 6^4
In conclusion, applying the division rule of exponents, 6^10/6^6 can be rewritten in the form of b^n as: 6^10/6^6 = 6^4.
Learn more about the division rule of exponents on:
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Answer:
The minimum sample size is
Step-by-step explanation:
From the question we are told that
The confidence interval is
The margin of error is
Generally the sample proportion can be mathematically evaluated as
Given that the confidence level is 98% then the level of significance can be mathematically evaluated as
Next we obtain the critical value of from the normal distribution table
The value is
Generally the minimum sample size is evaluated as