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saul85 [17]
4 years ago
6

There is a construction zone on a highway. The speeds of vehicles passing through this construction zone are normally distribute

d with a mean of 46 mph and a standard deviation of 4 mph. Suppose that you want to make a speed limit such that only about 10% of the vehicles passing through this zone exceed the speed limit of x mph hour. What should be the speed limit (rounded to the nearest integer)?
Mathematics
1 answer:
bonufazy [111]4 years ago
3 0
The percentage of vehicles passing through this construction zone that are traveling at a speed of 50 and 57 miles per hour
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Define the set X = {(x,y)|x &gt; 0,y ≤ √x}.
Kitty [74]

The set X is convex.

In geometry, a subset of an affine space over the real numbers, or more broadly a subset of a Euclidean space, is said to be convex if it contains the entire line segment connecting any two points in the subset. A solid cube is an example of a convex set, whereas anything hollow or with an indent, such as a crescent shape, is not. Alternatively, a convex region is a subset that crosses every line into a single line segment.

b)The set X is convex as any two points on the set X is included in the whole set as x>0. So a line joining any two points on the set X is completely inside the set x.

c)set X is not a closed set as the compliment of the set is not an open set.

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2 years ago
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dybincka [34]

Answer: 2f

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Ilia_Sergeevich [38]

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\vec v\left(\dfrac{16}3\right)=-\sin\dfrac{16}3\,\vec\imath+\cos\dfrac{16}3\,\vec\jmath+3\,\vec k

c. The tangent to \vec r(t) at t=\frac{16}3 is

\vec T(t)=\vec r\left(\dfrac{16}3\right)+\vec v\left(\dfrac{16}3\right)t

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Answer:

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Step-by-step explanation:

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