You roll a six-sided number cube and flip a coin. What is the probability of rolling a number less than 3 and flipping tails? Wr
1 answer:
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Answer:
A sample of 1068 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is:
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?
We need a sample of n.
n is found when M = 0.03.
We have no prior estimate of , so we use the worst case scenario, which is
Then
Rounding up
A sample of 1068 is needed.
Answer:
Angle Angle Angle (AAA) property
Step-by-step explanation:
A right angled triangle is a triangle that has one of its angles to equal . It could be in the form of an isosceles triangle or an acute angled triangle.
The given question compares the congruence properties of two triangles, KOM and LNM.
Thus,
<KOM = <LNM (right angle theorem)
<LMN = <KMO (common angles to both triangles)
⇒ <OKM = <NLM (property of a triangle i.e sum of angle in a triangle is )
ΔKOM = ΔLNM (congruence property)
Therefore, by angle angle angle (AAA) congruence property, the two triangles are similar.