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Anvisha [2.4K]
3 years ago
15

What is P(4 ≤ X ≤ 6)? Explain. If P(X ≤ a) = 0.2, what is a? Explain.

Mathematics
1 answer:
melamori03 [73]3 years ago
4 0

Answer:

(a) 0.4

(b) a = 3

Step-by-step explanation:

(a) The area under the curve from x=4 to x=6 is 0.2 units high and 2 units wide, so is 0.2·2 = 0.4. (The area of a rectangle is the product of length and width.)

(b) The area is 0.2 and the height of the curve is 0.2, so the width of the region of concern is 0.2/0.2 = 1. (Again, area = height·width, or width = area/height.) 1 unit from the left end is found at X=3, so a = 3.

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Answer:

3.16 units

Step-by-step explanation:

It has been given that the triangles JKL and the triangle RST are congruent.

That implies that, the length of the side JK, KL, and JL is equivalent to the length of the sides RS, ST, and RT respectively.

Now, to find the length of JK we need to find the length of the side RS. The coordinates of the points R and S are (-1,-2) and (2,-1).

The length of the side RS is equal to the distance between point R and S.

RS =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

= \sqrt{(2-(-1))^2+(-1-(-(-2))^2}

=\sqrt{3^2+(-1+2)^2}

=\sqrt{9+1}=\sqrt{10}=3.16

Now that we have the length of the side RS, and the triangles JKL and RST are congruent therefore, the length of the side JK is 3.16 units.

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