Kari drew two parallel lines PQ and RS intersected by a transversal KL, as shown below:
2 answers:
It is given in the question that
Two parallel lines PQ and RS are drawn with KL as a transversal intersecting PQ at point M and RS at point N. Angle QMN is shown congruent to angle LNS.
In parallel lines, alternate interior angles and alternate exterior angles are congruent .
And sum of angles of same side interior angles is 180 degree.
Therefore sum of measurements of angles QML and SNK is 180 degree. So they are supplementary angles.
Correct option is C.
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Using the binomial distribution, it is found that the probability that exactly 36 of them buy a product is of 0.044.
For each first-time visitor, there are only two possible outcomes, either they buy a product, or they do not. The probability of a first-time visitor buying a product is independent of any other first-time visitor, hence the binomial distribution is used to solve this question.
<h3>What is the binomial distribution formula?</h3>The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- 45% of first-time visitors to its website do not buy any of its products, hence 55% buy, that is, p = 0.55.
- There are 75 first-time visitors on a given day, hence n = 75.
The probability that exactly 36 of them buy a product is P(X = 36), hence:
More can be learned about the binomial distribution at brainly.com/question/24863377