Determine the rationalized expression of sqrt 9 / sqrt 3 + sqrt x
1 answer:
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Answer:
Slope of line 1 = 3
Slope of line 2 = 3
Slope of line 3 = -1/3
Line 1 and 2 are parallel
Line 1 and 3 are perpendicular
Line 2 and 3 are perpendicular
Step-by-step explanation:
Find the slope of each line by using this equation:
lines are parallel if they have the same slope and line are perpendicular in they have opposite reciprocal slopes. (-1/3 is the opposite reciprocal of 3).
Hope this helps!
Answer:
The degrees of freedom are given by:
And the p value taking in count that we have a bilateral test we got:
Since the p value is higher than the significance level of 0.05 we have enough evidence to conclude that the true mean is not significantly different from 430 the required value
Step-by-step explanation:
Information given
represent the mean for the weight
represent the sample standard deviation
sample size
represent the value that we want to verify
represent the significance level
t would represent the statistic
represent the p value
System of hypothesis
We are trying to proof if the filling machine works correctly at the 430 gram setting, so then the system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
In order to cehck the hypothesis the statistic for a one sample mean test is given by
(1)
Replacing the info given we have this:
The degrees of freedom are given by:
And the p value taking in count that we have a bilateral test we got:
Since the p value is higher than the significance level of 0.05 we have enough evidence to conclude that the true mean is not significantly different from 430 the required value