<h2>
Answer with explanation:</h2>
Let
be the population mean.
By considering the given information , we have
Null hypothesis : 
Alternative hypothesis : 
Since alternative hypothesis is right-tailed , so the test is a right-tailed test.
Given : n=290 ;
;

Test statistic:
i.e. 
By using the standard normal distribution table for z , we have
P-value for right tailed test : 

Since , the P-value is greater than the significance level of
, it means we do not have evidence to reject the null hypothesis.
Hence, we conclude that we do not have enough evidence to support the claim that valve performs above the specifications.
Answer:
C
Step-by-step explanation:
Given:
Population of a colony in 2000 = 250
Population of a colony in 2004 = 400
To find:
The average rate of change.
Solution:
Let y be the population of the colony at x year.
The population of a colony grows from 250 in the year 2000 to 400 in the year 2004. So, the two points are (2000,250) and (2004,400).
Formula for slope or average rate of change is




Therefore, the average rate of change of population is 37.5.
Yes that is correct
spaceholder spaceholder
The number of hours you work is dependent and so so