Answer:
1.01 < µ < 1.03
Step-by-step explanation:
We want to construct a 95% confidence interval. Our sample size is 25, so we use a t-value. The degrees of freedom are 24 (always one less than the sample size).
The t-value we get is: 2.064
We have:
x = 1.02
σ = 0.03
See the attached photo for the construction of the confidence interval...
The sides of an equilateral triangle are equal length, so ...
GH = FH
3x-9 = 2x-2
x = 7 . . . . . . . . add 9-2x
Then the side lengths are
FG = x+5
FG = 7 +5 = 12
x = 7
FG = GH = FH = 12
Considering the definition of a line, the equation of the line that passes through the point (-2, 1) and has a slope of 1/3 is y= 1/3x + 5/3.
<h3>Linear equation</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.
<h3>Line in this case</h3>
In this case, you know:
- The line has a slope of 1/3.
- The line passes through the point (-2, 1).
Substituting the value of the slope m, you get:
<u><em>y= 1/3x + b</em></u>
Replacing the value of the point in previous expression, the value of the ordinate to the origin b can be obtained:
1= 1/3× (-2) + b
1= - 2/3 + b
1 + 2/3= b
<u><em>5/3= b</em></u>
Finally, the equation of the line is y= 1/3x + 5/3.
Learn more about equation of a line:
brainly.com/question/20842634
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