Answer:
The degrees of freedom are given by:

The p value for this case would be given by:
Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes
Step-by-step explanation:
Information given
represent the sample size
represent the confidence level
represent the sample variance
represent the value that we want to verify
System of hypothesis
We want to test if the true deviation for this case is lesss than 5minutes, so the system of hypothesis would be:
Null Hypothesis:
Alternative hypothesis:
The statistic is given by:
And replacing we got:
The degrees of freedom are given by:

The p value for this case would be given by:
Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes
Answer:
13
Step-by-step explanation:
Diagonals of a rhombus are perpendicular bisector.
Hence, triangle ABE so formed would be a right triangle right angled at E.
Therefore, by Pythagoras theorem:

Answer:
Well, I'm not sure what you mean but Ptolemy's Theorem gives a relationship between the side lengths and the diagonals of a cyclic quadrilateral; it is the equality case of Ptolemy's Inequality. Ptolemy's Theorem frequently shows up as an intermediate step in problems involving inscribed figures.
Answer:
1
Step-by-step explanation:
So first you add 27 and 8, which is 35.
If he sold 1/35 to a used store than he actually only sold 1.
To solve it with mathmatically you would do. (1/35)×(35)=1.
It is possible
Group 1 : 684 divided by 36 = 19$
Group 2 : 456 divided by 24 = 19$
Therefore, both groups 1 and 2 charge $19 for each ticket