Which of the following is a multiple of 5
2 answers:
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Answer:
Part A none
Part B drawn
Step-by-step explanation:
Suppose the transversal intersects a pair of parallel lines it creates two pairs of alternate exterior angles.
Now if we look at the first figure we find that the alternate exterior angle 1 and 4 are equal . Also 3 and 2 are equal.
But <1 and < 2 are not equal . They are supplementary angles. Their sum is equal to 180 degrees.
Similarly angles 3 and4 are supplementary angles.
This situation does not support Ricky's claim. So you will select none in part A.
Now in part B we see that angle 5 &8 are equal and 6 & 7 are congruent.
This refutes Ricky's claims and this can be proved mathematically.
Angles 5 & 6 are supplementary angles. Similarly 7 & 8 are supplementary therefore they cannot be equal as they are unequal and a transversal is drawn not a perpendicular.
Answer:
(a) The sample size required is 43.
(b) The sample size required is 62.
Step-by-step explanation:
The (1 - α) % confidence interval for population mean is:
The margin of error for this interval is:
(a)
The information provided is:
<em>σ</em> = 4 minutes
MOE = 72 seconds = 1.2 minutes
Confidence level = 95%
α = 5%
Compute the critical value of z for α = 5% as follows:
*Use a z-table.
Compute the sample size required as follows:
Thus, the sample size required is 43.
(b)
The information provided is:
<em>σ</em> = 4 minutes
MOE = 1 minute
Confidence level = 95%
α = 5%
Compute the critical value of z for α = 5% as follows:
*Use a z-table.
Compute the sample size required as follows:
Thus, the sample size required is 62.