if the radius of the circular region is 5 yards what was the total length of the border to the nearest tenth of a yard
1 answer:
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Answer:
The Null Hypothesis is
The alternative hypothesis is
Decision rule
If the test staistics is greater than the critical value of significance level then is accepted else
is rejected
With the above in mind
The critical value of the significance level which is obtained from the table is
Now since the critical value of significance level is greater than the test staistics then the null hypothesis will be rejected
Conclusion
The information is not enough to back the claim that state differs from the nation
Step-by-step explanation:
From the question we are told that
The percentage of US female workers paid at the minimum wage or less is 7% = 0.07
The sample size is
The number paid minimum wage or less is x = 42
The significance level is 5% = 0.05
Now the probability of getting a US female workers paid at the minimum wage or less is mathematically represented as
substituting value
The Null Hypothesis is
The alternative hypothesis is
Generally the test statistics is mathematically evaluated as
substituting value
Now the Decision rule is stated as
If the test staistics is greater than the critical value of significance level then is accepted else
is rejected
With the above in mind
The critical value of the significance level which is obtained from the table is
Now since the critical value of significance level is greater than the test staistics then the null hypothesis will be rejected
So the conclusion will be
The information is not enough to back the claim that state differs from the nation
The function is 
1. let's factorize the expression
:
the zeros of f(x) are the values of x which make f(x) = 0.
from the factorized form of the function, we see that the roots are:
-3, multiplicity 1
3, multiplicity 1
0, multiplicity 3
(the multiplicity of the roots is the power of each factor of f(x) )
2.
The end behavior of f(x), whose term of largest degree is
, is the same as the end behavior of 
, which has a well known graph. Check the picture attached.
(similarly the end behavior of an even degree polynomial, could be compared to the end behavior of
)
so, like the graph of, the graph of :
"As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity. "
1. let's factorize the expression
the zeros of f(x) are the values of x which make f(x) = 0.
from the factorized form of the function, we see that the roots are:
-3, multiplicity 1
3, multiplicity 1
0, multiplicity 3
(the multiplicity of the roots is the power of each factor of f(x) )
2.
The end behavior of f(x), whose term of largest degree is
(similarly the end behavior of an even degree polynomial, could be compared to the end behavior of
so, like the graph of
"As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity. "