Answer:
The degrees of freedom are:
And the p value would be given by:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true deviation is different from 8 days.
Step-by-step explanation:
Data given
represent the sample size
represent the confidence level
represent the sample variance obtained
represent the value that we want to test
Hypothesis to test
We want to verify if the true deviation is equal to 8 days o not, so the system of hypothesis would be:
Null Hypothesis: 
Alternative hypothesis: 
The statistic is given by:
Replacing we got:
The degrees of freedom are:
And the p value would be given by:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true deviation is different from 8 days.
Answer:
35 times 3= 105 times 4
Step-by-step explanation:
Answer:
10/40 = 25%
Step-by-step explanation:
40 total = denominator
30 cheese - 40 total = 10 not cheese
10/40
Answer:
The ordered pair that corresponds to point P is: (4, 2)
Step-by-step explanation:
It is clear from the graph that the point P is located at the location (4, 2).
In other words,
at x = 4, y = 2
It means:
The x-coordinate of the point P is: x = 4
The y-coordinate of the point P is: y = 2
Thus, the location of the point P → P(x, y) = P(4, 2)
Please check the attached graph.
Therefore, we conclude that:
The ordered pair that corresponds to point P is: (4, 2)
Answer:
The coordinates are 
and 
.
Step-by-step explanation:
First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:
(1)
Where 
is the vector translation.
If we know that 
and 
, then the vector translation is:
Then, we determine the coordinates for Y' and Z':
The coordinates are and .
