Answer:
is standard equation of hyperbola with vertices at (0, ±9) and foci at (0, ±11).
Step-by-step explanation:
We have given the vertices at (0, ±9) and foci at (0, ±11).
Let (0,±a) = (0,±9) and (0,±c) = (0,±11)
The standard equation of parabola is:
From statement, a = 9
c² = a²+b²
(11)² = (9)²+b²
121-81 = b²
40 = b²
Putting the value of a² and b² in standard equation of parabola, we have
which is the answer.
The given expression written in the simplest rational exponent form is
From the question, we are to write the given expression in exponent form
The given expression is
In exponent form,
and
Thus, becomes
Applying the multiplication law of indices, we get
=
Hence, the given expression written in the simplest rational exponent form is
Learn more on Writing an expression in exponent form here: brainly.com/question/4421494
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Using the binomial distribution, it is found that there is a 0.7447 = 74.47% probability that fewer than 7 of them show up.
<h3>What is the binomial distribution formula?</h3>The formula is:
The parameters are:
In this problem, the values of the parameters are given as follows:
p = 0.7, n = 8.
The probability that fewer than 7 of them show up is given by:
[tec]P(X < 7) = 1 - P(X \geq 7)[/tex]
In which:
Then:
Then:
[tec]P(X < 7) = 1 - P(X \geq 7) = 1 - 0.2553 = 0.7447[/tex]
0.7447 = 74.47% probability that fewer than 7 of them show up.
More can be learned about the binomial distribution at brainly.com/question/24863377
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