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Mekhanik [1.2K]
3 years ago
12

Two intersecting lines lie in two planes. A. True B. False

Mathematics
2 answers:
zalisa [80]3 years ago
8 0

Answer:

Flase

Step-by-step explanation:

The plane is a two dimensional figure. If the two lines are intersecting, then there will be a solution (x, y) for the equations of the lines.

We plot the points of each line of equations in the same plane and connect them and draw the lines, if the lines intersect, then there is a solution. Which is in the same plane.

The point (x, y) is in the same plane not in two different planes.

Therefore, two intersecting lines lie in two planes is a false.

Lady_Fox [76]3 years ago
5 0
Intersecting lines can be lying in a plane. An example is the Cartesian coordinate system where systems of equations can be defined by their intesecting points by plotting the equations in the plane coordinate system. In this case, the answer to this problem is B. False
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The probability that at least 2 of the dinners selected are pasta dinners will be 0.8181...

<u><em>Explanation</em></u>

Pasta dinners = 7 , Chicken dinners = 6 and Seafood dinners = 2  

The student selects 5 of the total 15 dinners. So, total possible ways for selecting 5 dinners =^1^5C_{5} =3003

For selecting at least 2 of them as pasta dinners, the student can select 2, 3, 4 and 5 pasta dinners from total 7 pasta dinners.

So, the possible ways for selecting 2 pasta dinners =^7C_{2}*^8C_{3} =1176

The possible ways for selecting 3 pasta dinners =^7C_{3}*^8C_{2} =980

The possible ways for selecting 4 pasta dinners =^7C_{4}*^8C_{1} =280

The possible ways for selecting 5 pasta dinners =^7C_{5}*^8C_{0} =21

Thus, the probability for selecting at least 2 pasta dinners =\frac{1176+980+280+21}{3003} =\frac{2457}{3003} =0.8181.....

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