What is the slope of the line that passes through (3, −7) and (−1, 1)? (1 point)
1 answer:
Answer:
The slope of the line is -2
Step-by-step explanation:
<em>The rule of the slope of a line is</em>:
, where
and
are two points on the line
<em>Let us find the slope using the rule above</em>
∵ The line passes through points (3, -7) and (-1 , 1)
∴ = 3 and
= -1
∴ = -7 and
= 1
<em>Substitute these values in the rule above to find m</em>
∴
∴ The slope of the line that passes through the given points is -2
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Answer: No , at 0.05 level of significance , we have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.
Step-by-step explanation:
Let denotes the average hours of sleep per night.
As per given , we have
, since is left-tailed and population standard deviation is unknown, so the test is a left-tailed t -test.
Also , it is given that ,
Sample size : n= 22
Sample mean :
Sample standard deviation : s= 1.93
Test statistic :
i.e.
For significance level and degree of freedom 21 (df=n-1),
Critical t-value for left-tailed test=
Decision : Since the test statistic value (0.58) > critical value 1.7207, it means we are failed to reject the null hypothesis .
[Note : When , then we accept the null hypothesis.]
Conclusion: We have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.