A triangular playground has angles with measures in the ratio 8:3:9. What is the measure of the smallest angle? I need an explan
1 answer:
Answer:
Measure of smallest angle will be 27 degrees.
Step-by-step explanation:
We are told that a triangular playground has angles with measures in the ratio 8:3:9 and we are asked to find out measure of smallest angle.
Since we know by the angle sum property that angles in a triangle add up to 180 degrees.
We can set an equation from our given ratio as:
Now we will find measure of our smallest angle by multiplying 3 by 9 as 3x will be smallest angle of our triangle.
Therefore, measure of the smallest angle will be 27 degrees.
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Answer:
Assumptions are not met. Can not make confidence interval.
Step-by-step explanation:
In the General Social Survey, sample size is 1514.
The proportion of those who see themselves social is ≈ 0.31
To give an 95% confidence interval, we should be able to calculate margin of error of the sample mean, which is given by the formula
M± where M is the mean of the sample (in the General Social Survey it is 0.31), z is z-score for the 95% confidence level(approx. 1.94), s is the standard deviation of the sample, N is the size of the sample(in this example it is 1514).
Since we don't know the standard deviation of the sample, we cannot give a confidence interval.