How to tell if a fraction is proportional
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Answer:
The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.
The expected numbers of voters who would vote for Brown is 3604.
Step-by-step explanation:
The sample statistic is a numerical quantity used to represent a characteristic of a sample. For example, sample mean is a sample statistic representing the average of the sample. Or, sample proportion is a sample statistic representing the proportion of a particular variable in the sample. Or sample variance is a sample statistic representing the variance of the sample.
The sample statistic can be used to estimate the population parameter.
They are known as the point estimate of the parameter.
The sample proportion of a variable <em>X</em> is given by:
It is provided that of the <em>n</em> = 250 registered voters selected, the number of voters who said they would vote for Brown is <em>X </em>= 77.
Compute the sample statistic for the proportion of voters surveyed who said they'd vote for Brown as follows:
Thus, the sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.
Compute the expected number of people of the 11700 registered voters who would vote for Brown as follows:
Thus, the expected numbers of voters who would vote for Brown is 3604.
u = 10.4 and v = 12
Solution:
In the given 2 sides of a triangle are 60°, 60°.
Sum of all the angles of a triangle = 180°
60° + 60° + third angle = 180°
⇒ third angle = 180° – 60° – 60°
⇒ third angle = 60°
All angles are equal, therefore the given triangle is an equilateral triangle.
⇒ All sides are equal in length.
⇒ v = 12
The line drawn from the top angle divides the triangle into two equal parts
and the line is perpendicular.
12 ÷ 2 = 6
Using Pythagoras theorem,
⇒
⇒
⇒
⇒
⇒ u = 10.4
Hence, u = 10.4 and v = 12.