Sketch the graph of the given function. Then state the function’s domain and range. y = 7(4)x
2 answers:
Answer with explanation:
The given function is
Domain of the function is defined as set of all values of x for which y is defined.
In the given function ,y is defined for all real values of x.
So, Domain of the function =R--Set of real numbers.
Range of the function is defined as set of all values of y, for which x is defined.
⇒log y is defined for, y>0.
<u>Range </u>of the function will be
=(0,∞)
=Set of Positive real numbers
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Answer:
The probability that at least 280 of these students are smokers is 0.9664.
Step-by-step explanation:
Let the random variable <em>X</em> be defined as the number of students at a particular college who are smokers
The random variable <em>X</em> follows a Binomial distribution with parameters n = 500 and p = 0.60.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:
1. np ≥ 10
2. n(1 - p) ≥ 10
Check the conditions as follows:
Thus, a Normal approximation to binomial can be applied.
So,
Compute the probability that at least 280 of these students are smokers as follows:
Apply continuity correction:
P (X ≥ 280) = P (X > 280 + 0.50)
= P (X > 280.50)
*Use a <em>z</em>-table for the probability.
Thus, the probability that at least 280 of these students are smokers is 0.9664.