Which of the following is equivalent to C(16, 4)? A. 12 B. C(16, 12) C. C(15, 3)
1 answer:
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The equation of g(x) is
Explanation:
Given that the function f(x) is
Also, given that the function g(x) is a vertical stretch of f(x) by a factor of 4.
We need to determine the equation of g(x)
<u>Equation of g(x):</u>
The vertical stretch of the function can be determined by multiplying the factor 4 with the function f(x).
Thus, we have,
Substituting the values,we have,
Simplifying the values, we get,
Hence, the equation of g(x) is
Answer:
P(X ≥ 1) = 0.50
Step-by-step explanation:
Given that:
The word "supercalifragilisticexpialidocious" has 34 letters in which 'i' appears 7 times in the word.
Then; the probability of success = 7/34 = 0.20588
Using Binomial distribution to determine the probability; we have:
where;
x = 0,1,2,...n and 0 < β < 1
and x represents the number of successes.
However; since the letter is drawn thrice; the probability that the letter "i" is drawn at least once can be computed as:
P(X ≥ 1) = 1 - P(X< 1)
P(X ≥ 1) = 1 - P(X =0)
P(X ≥ 1) = 1 - 0.50
P(X ≥ 1) = 0.50
This equation has the next form:
To find if the equation has two complex solutions we have to check if the discriminant is negative, as follows:
Then, the first case has two complex solutions.
In the second case,
The discriminant in this case is:
Then, the second case has two complex solutions.
In the third case,
The discriminant in this case is:
Then, the third case has two real solutions.
In the fourth case,
The discriminant in this case is:
Then, the fourth case has two complex solutions.