Square centimeters are just telling that it's an area of a rectangle, square or some other shape.
Answer:
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Step-by-step explanation:
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Answer:
The architects can be 95% confident that the mean breaking strength of the white wood is within this interval (149.736 , 1.664)
Step-by-step explanation:
Given
Sample = n = 16
x = 75.7
s = 10.9
First we Calculate the degree of freedom.
Degree of freedom is calculated as
df = (n - 1)t
df = (16 - 1)t
df = 15t
The we check the t-table corresponding value for 0.05
t 0.05= 1.75377.
0.05 is gotten from
(100% - 95%) = 5%= 5/100 = 0.05
Calculating the True mean breaking strength through the confidence interval
Solving the confidence interval.
This is given by:
x ± ts√df
Confidence Interval = 75.7 ± 1.75377 * 10.9 * √15
Confidence Interval = 75.7 ± 74.036
Confidence Interval = 75.7 + 74.036 , 75.7 - 74.036
Confidence interval = 149.736 , 1.664
Interpreting the above;
The architects can be 95% confident that the mean breaking strength of the white wood is within this interval (149.736 , 1.664)
Answer:
x = -5.6
Step-by-step explanation:
Using the given coordinates in the given slope formula, we have ...
(y2 -y1)/(x2 -x1) = -8/5 . . . . . using the given slope
<h3>Setup</h3>
(4 -x)/(3 -9) = -8/5 . . . . substituting (9, x) for (x1, y1) and (3, 4) for (x2, y2)
<h3>Solution</h3>
Multiplying by 30, we have ...
5(x-4) = -48
5x -20 = -48 . . . . eliminate parentheses
5x = -28 . . . . . . . . add 20
x = -5.6 . . . . . . . . divide by 5
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<em>Additional comment</em>
In the attachment, we have written the point-slope equation of the line, then found the point on that line that has a x-coordinate of 9. We see the y-coordinate of that point is -5.6, as computed above.
If you swap the points (x1, y1) and (x2, y2), then the slope equation ends up with fewer minus signs to handle.
