If f (x) = StartRoot x minus 3 EndRoot, which inequality can be used to find the domain of f(x)?
1 answer:
Answer:
is the inequality to find the Domain of f(x)
Step-by-step explanation:
When we have a function where the variable "x" is inside a square root, we find its Domain by looking for all those values x for which the function is defined for the root, which means all the x-values that make the expression inside the root larger than or equal to zero, avoiding the values smaller for which the square root is not defined.
Therefore, in this case , for
we ask for the x-values that verify:
where we have isolated x on one side of the equal sign.
This would be the definition of the Domain of the function.
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Answer:
Yes. The sample size is large enough
H0: μ=170
Ha: μ≠ 170
a) μ= 172.52
b) 10.31
c) yes, the data is distributed around both sides of the mean
d) H0: μ=170 is true
Step-by-step explanation:
a) mean= sum of all sample values/25
(170+167+174+179+179+187+179+183+179 +156+163+156+187+156+167+156+174+170+ 183+ 179+ 174+ 179+ 170+ 159+ 187)/25 = 172.52
b) standard deviation= √(∑(x-μ)²/25)
Using this formula value of standard deviation was computed to be 10.31
c) Least value is 156, difference between least and mean is 16.52
Max value is 187, difference between max and mean is 14.48
A scatter plot shows that number of values higher than mean is 14 and number of values lower than mean is 11. So we can say that data is distributed around mean
d) Null hypthesis is accepted
Test statistic= (sample mean-expected mean)/standard deviation
=(172.52-170)/10.31
= 0.024
P(Z> 0.024)= (1-0.5080)= 0.492
p-value= 2× 0.492= 0.984
Using 5% or 0.05 significance level,
test statistic is greater than significance level so null hypothesis is accepted
