Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability of observing exactly 3 tails.
<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, considering 3 tosses of a fair coin, the parameters are n = 3 and p = 0.5.
The probability of 3 tails is P(X = 3), hence:


0.125 = 12.5% probability of observing exactly 3 tails.
More can be learned about the binomial distribution at brainly.com/question/24863377
It gives the perimeter of 14 mm and if it is 3 mm tall, times that by 2 to get 6 for the total of both side then subtract 6 from 14 and you get 8 and then divide that by 2
Answer is 4 mm wide for the two sides
Answer:
The expression simplifies to
.
Step-by-step explanation:
The expression

can be rearranged and written as

In this form the
terms in the numerator and in the denominator cancel to give

The
are present both in the numerator and in the denominator, so they also cancel, and the fraction
simplifies to
, so finally our expression becomes:

Which is our answer:)
The contrapositive statement are:
- If the lake is frozen, then it isn't cold.
- If Solomon is happy, then he isn't healthy.
- If Tigist does not take a walk, then it will not rain
<h3>What is the
converse statement?</h3>
The converse statement are:
- If the late is frozen, then it is cold.
- If Solomon is happy, then he is healthy.
- If Tigist Tigist does not take a walk, then it will rain.
Note that the converse of a statement is created by the act of switching the hypothesis given and also the conclusion.
Therefore, The contrapositive statement are
- If the lake is frozen, then it isn't cold.
- If Solomon is happy, then he isn't healthy.
- If Tigist does not take a walk, then it will not rain
Learn more about contrapositive statement from
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12 The least common multiple of 6 and 4 is 12