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3 years ago

12

the autopilot feature on a ship is designed to maintain a set speed if the ship's are actual speed never varies by more than fiv

e knots what is the difference between the maximum and minimum speed for the ship when autopilot is used?

1 answer:

Ipatiy [6.2K]3 years ago

7 0

10 knots. 5 knots above and 5 knots below are added to equal 10 knots.

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3 years ago

What is the ordered pair for point b on the graph (-1,4) (4,-1) (5,1) (1,5)

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Option C: (5,1) is the ordered pair for point B

Explanation:

The graph is plotted with unit scale 1 units for both x and y axis.

We need to determine the ordered pair for point B.

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Since, the graph is plotted with unit scale 1, the point B is 5 units away from the point (0,0)

Thus, the x - coordinate for point B is 5.

Also, the point B is 1 unit away from the point (0,0)

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4 years ago

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3 years ago

Let the universal set, s, have 66 elements. a and b are subsets of s. set a contains 19 elements and set b contains 34 elements.

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The cardinality of the union between two sets is given by

$N(A\cup B) = N(A) + N(B) - N(A \cap B)$

In fact, if an element is in both A and B, it is counted in both N(A) and N(B), so we're counting it twice. By subtracting the cardinality of the interserction, we're taking back one of these "extra-counted" element, and the count is correct. In your case, the numbers are

$N(A \cup B) = 19+34-10 = 43$

This means that the two sets cover, without repetitions, 43 of the 66 elements in the sets. So, there are

$66-43 = 23$

elements which are in neither A nor B

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3 years ago