Answer:
mean= 0.65
standard deviation=
Step-by-step explanation:
The answer is 12
It is ratio to the is being enlarged on the ither sides
Answer:
about 17 meters
Step-by-step explanation:
We can use the Pythagorean theorem to put an upper bound on the height of the bump in the rail. This assumes half the expanded rail length (d+e) is the hypotenuse of a right triangle whose legs are the bump height (b) and the 2500 meter distance (d) from the center of the rail to its end.
The Pythagorean theorem relates these distances this way:
b^2 + d^2 = (d+e)^2
Expanding the square on the right, we can simplify the expression to find b.
b^2 = (d^2 +2de +e^2) -d^2
b^2 = e(2d +e)
b = √(e(2d +e))
Using lengths in meters, we can fill this in to calculate b.
b = √(.06(2·2500 +.06)) = √300.0036
b ≈ 17.32 . . . . meters
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<em>Comment on this solution</em>
We don't expect rails to tear loose from the rail bed and rise up to a height matching that of a 3-story building. That is why there are typically expansion joints and shorter rail lengths used in the construction of railways.
The height is a little lower if we take physics into account and distribute the stress in the rail along its length. No doubt the final curve is somewhat more complicated than the triangle we have assumed.
If it were an ellipse, the height might only be 9.4 meters, with the steepest rise occurring near the ends of the rail. The math for this model is beyond the scope of this answer.
It has already given you the answer.
Answer: Aiden bought 8 notebooks and 5 covers.
This is a system of equations problem. To solve this, we have to write 2 different equations and then solve them.
Our equations are:
x + y = 13
1.37x + 1.08y = 16.36
Where x is the number of notebooks and y is the number of covers.
To solve these equations, you can use anyone of these methods:
1) Graphing
2) Substitution
3) Elimination
The easiest way would be to graph them with a graphing calculator and find the point of intersection.