Can u guys help me on number 9 ,plz :)
1 answer:
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Considering the expression of a line, the equation for the function that is represented through the points f(0.1) = 11.5, and f(0.4) = -5.9 is y= -58x +17.3.
<h3>Linear equation o line</h3>A linear equation o line can be expressed in the form y = mx + b.
where
- x and y are coordinates of a point.
- m is the slope.
- b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.
Knowing two points (x1, y1) and (x2, y2) of a line, the slope m of said line can be calculated using the following expression:
Substituting the value of the slope m and the value of one of the points in the expression of a linear equation, y = mx + b, the value of the ordinate to the origin b can be obtained.
<h3>Equation for the function in this case</h3>In this case, the function f(x) is represented through the points f(0.1) = 11.5, and f(0.4) = -5.9. This is:
- (x1, y1)= (0.1, 11.5)
- (x2, y2)= (0.4, -5.9)
So, the slope m can be calculated as:
Solving:
<u><em>m= -58</em></u>
Considering point 1 and the slope m, you obtain:
11.5= -58×0.1 +b
11.5= -5.8 + b
11.5 + 5.8= b
<u><em>17.3= b</em></u>
Finally, the equation for the function that is represented through the points f(0.1) = 11.5, and f(0.4) = -5.9 is y= -58x +17.3.
Learn more about the equation of a line having 2 points:
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Answer:
B. Z=1.98
Step-by-step explanation:
1) Data given and notation
represent the number of sampled freshmen finished in the bottom third of their high school class in 1993
represent the number of sampled freshmen finished in the bottom third of their high school class in 1997
sample 1 selected
sample 2 selected
represent the proportion of sampled freshmen finished in the bottom third of their high school class in 1993
represent the proportion ofsampled freshmen finished in the bottom third of their high school class in 1997
z would represent the statistic (variable of interest)
represent the value for the test (variable of interest)
2) Concepts and formulas to use
We need to conduct a hypothesis in order to check if the proportion graduated in the bottom third of their high school class is higher for 1993 than 1997 , the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We need to apply a z test to compare proportions, and the statistic is given by:
(1)
Where
3) Calculate the statistic
Replacing in formula (1) the values obtained we got this:
4) Statistical decision
For this case we don't have a significance level provided , but we can calculate the p value for this test.
Since is a one side test the p value would be:
If we compare the p value and using any significance level for example always
so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion graduated in the bottom third of their high school classes in 1993 is not significant higher than the proportion in 1997.