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2 answers:
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Answer:
Step-by-step explanation:
The confidence interval for population mean is given by :-
Given : Sample size : , which is a large sample , so we apply z-test .
Sample mean :
Standard deviation :
Significance level :
Critical value :
Now, a confidence interval at the 95% level of confidence will be :-
Answer:
- <u><em>Second option: the graph approaches 0 as x approaches infinity.</em></u>
Explanation:
The function f(x) is:
- When x approach infinity the term x² grows rapidly (more rapid than x), thus 1 - x², which is in the denominator will decrease, become a large negative more rapid than the x in the numerator. Thus you can expect that the function approaches zero.
To prove that in a more analytical way, divide both numerator and denominator by x and simplifiy:
Number 20 from the set S:{−18, 2, 15, 20} will make the inequality five sixth "m" minus four less than one third "m" plus 5 false.
As per the question statement, we are supposed to find the integer(s) from the set S:{−18, 2, 15, 20} will make the inequality five sixth "m" minus four less than one third "m" plus 5 false.
Let's write the given statement in numeric form first, we get
Let's solve the inequality for "m"
We get 3m/6 <9
or 3m <54
or m < 18
Therefore all values of m < 18 will make the inequality true and m>18 will make the inequality false.
The value of m > 18 in the above given set S:{−18, 2, 15, 20} is 20, hence number 20 from the set S:{−18, 2, 15, 20} will make the inequality five sixth "m" minus four less than one third "m" plus 5 false.
- Inequality: An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.
To learn more about inequality and its concept, click on the link given below:
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