Graph the piecewise-defined function
2 answers:
<h2>Answer with explanation:</h2>
The function f(x) is given by:
f(x)= |x|+4, if x<0
and 4 , if x ≤ 0.
- for x<0
The graph of the function is a strictly decreasing continuous graph i.e. a line with a slope as: -1.
Since, the function f(x) for x<0 is given by:
f(x)= -x+4
also at x=0- f(x)=4
- Also , for x≥0 the graph of the function is a straight line parallel to the x-axis.
Also, the left hand limit at x=0 is equal to the right hand limit at x=0 is equal to the function's value at x=0.
Hence, the graph of the function is continuous for all the real values.
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Down below is the equation graphed
Down below is the equation graphed
<h2>Answer with explanation:</h2>
Given : In a restaurant, the proportion of people who order coffee with their dinner is p.
Sample size : n= 144
x= 120
The null and the alternative hypotheses if you want to test if p is greater than or equal to 0.85 will be :-
Null hypothesis : [ it takes equality (=, ≤, ≥) ]
Alternative hypothesis : [its exactly opposite of null hypothesis]
∵Alternative hypothesis is left tailed, so the test is a left tailed test.
Test statistic :
Using z-vale table ,
Critical value for 0.05 significance ( left-tailed test)=-1.645
Since the calculated value of test statistic is greater than the critical value , so we failed to reject the null hypothesis.
Conclusion : We have enough evidence to support the claim that p is greater than or equal to 0.85.