The slope of a line is (-1/2) and a point on the line is (-2, 3). Find the equation for the line in slope intercept form.
1 answer:
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The graph represents a relation provided R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
<h3>What is an ordered double?</h3>It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
We have a relation:
R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
We can represent it on a coordinate plane as (x, y)
After plotting on a coordinate plane we will get a graph of a relation
R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
Thus, the graph represents a relation provided R = {(5, 1), (1, –2), (0, –1), (–3, 2)}
Learn more about the ordered double here:
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This question is incomplete, the complete question;
The American Psychological Associated conducted a survey in 2003 of psychologists to estimate the average incomes for psychologists based on their academic degree and years of experience. 36 psychologists responded who had a just received their masters degree in 2003. The average was $48,800 with a standard deviation of $16,800.
The 95% Confidence Interval is ($, $ )
Answer:
at 95%, confidence interval is ( $43312, $54288 )
Step-by-step explanation:
Given the data in the question;
sample size n = 36
mean x' = 48,800
standard deviation σ = 16,800
at 95% confidence level;
∝ = 1 - 95% = 1 - 0.95 = 0.05
∝/2 = 0.05 / 2 = 0.025
z critical value, = 1.96
now, confidence interval for population mean is given by the formula
x' ± ( σ/√n )
so we substitute
⇒ 48800 ± 1.96( 16800/√36 )
⇒ 48800 ± 1.96( 2800 )
⇒ 48800 ± 5488
⇒ 48800 - 5488, 48800 + 5488
⇒ ( 43312, 54288 )
Therefore, at 95%, confidence interval is ( $43312, $54288 )