Answer:
The decision rule is
Reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is n = 160
The sample mean is 
The variance is 
The level of significance is 
The null hypothesis is 
The alternative hypothesis is 
Generally the standard deviation is mathematically represented as
=> 
=> 
Generally the test statistics is mathematically represented as
=> 
=> 
From the z table the area under the normal curve to the left corresponding to 2.53 is
From the value obtained we see that the 
hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the believe that the valve performs above the specifications is true
The domain of the provide function where the function is defined is x less than the number three.
<h3>What is the domain of the function?</h3>
Domain of a function is the set of all the possible input values which are valid for that function.
The function given in the problem is,
The above function is the function of logarithm. For the logarithmic function, it is defined for all the real numbers except 0.
Thus, the function should be greater than zero as,
Change the sign of both side, by changing the inequality,
Thus, the domain of the provide function where the function is defined is x less than the number three.
Learn more about the domain of the function here;
brainly.com/question/2264373
Answer:
−
3
x
=
15 Divide each term in −
3
x
=
15 by -
3
.
−
3
x
−
3
+15
=−
3
Cancel the common factor of −
3
.
Cancel the common factor.
−
3
x
−
3
=
15
−
3
Divide x
by 1
.
x
=
15
−
3 by −
3
.
x
=
−
5
Answer:
put your first point at 7 in y axis that point go down 3 to the rights side 1 and your point should be at (1,4) then connect the dots and that's how you graph it
Step-by-step explanation:
