If two lines are perpendicular , what do we know about their slopes ?
1 answer:
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Answer:
C
Step-by-step explanation:
Given: the set is defined as
To find: Set builder form of the complement of the set C.
Solution:
A set is a well-defined collection of objects. Set-builder form is used to denote the elements of the set. This form can also be used to express sets using an interval or an equation.
Complement of set A refers to elements not in A.
For ,
Option C is correct.
Answer:
48.41% probability that 17 or fewer of them are bilingual.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
Normal probability distribution
Problems of normally distributed samples can be solved using 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.
When we are approximating a binomial distribution to a normal one, we have that ,
.
In this problem, we have that:
So
Probability that 17 or fewer of them are bilingual.
Using continuity correction, this is , which is the pvalue of Z when X = 17.5. So
has a pvalue of 0.4841
48.41% probability that 17 or fewer of them are bilingual.