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Alexxandr [17]
2 years ago
14

Point L is on line segment KM. Given LM = 3x + 3,

Mathematics
1 answer:
iris [78.8K]2 years ago
7 0

Answer:

KM = 4

Step-by-step explanation:

LM = 3x + 3

KM = 5x + 4

KL = 5x + 1

KL + LM = KM (segment addition postulate)

(5x + 1) + (3x + 3) = 5x + 4 (substitution)

Solve for x

5x + 1 + 3x + 3 = 5x + 4

Combine like terms

8x + 4 = 5x + 4

8x + 4 - 4 = 5x + 4 - 4

8x = 5x + 0

8x - 5x = 0

3x = 0

x = 0

KM = 5x + 4

Plug in the value of x

KM = 5(0) + 4

KM = 0 + 4 = 4

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Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriage
hoa [83]

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(A) 0.377,

(B) 0.000,

(C) 0.953,

(D) 0.047

Step-by-step explanation:

We assume that having a bone of intention means not liking one's Mother-in-Law

(A) P(all six dislike their Mother-in-Law) = (85%)^6 = (.85)^6 = 0.377

(B) P(none of the six dislike their Mother-in-Law) =

(100% - 85%)^6 =

0.15^6 =

0.000

(C) P(at least 4 dislike their Mother-in-Law) =

P(exactly 4 dislike their Mother-in-Law) + P(exactly 5 dislike their Mother-in-Law) + P(exactly 6 dislike their Mother-in-Law) =

C(6,4) * (.85)^4 * (1-.85)^2 + C(6,5) * (.85)^5 * (.15)^1 + C(6,6) * (.85)^6 = (15) * (.85)^4 * (.15)^2 + (6) * (.85)^5 * .15 + (1) * (.85)^6 =

0.953

(D) P(no more than 3 dislike their Mother-in-Law) =

P(exactly 0 dislikes their Mother-in-Law) + P(exactly 1 dislikes her Mother) + P(exactly 2 dislike their Mother-in-Law) + P(exactly 3 dislike their Mother-in-Law) =

C(6,0) * (.85)^0 * (.15)^6 + C(6,1) * (.85)^1 * (.15)^5 + C(6,2) * (.85)^2 * (.15)^4 + C(6,3) * (.85)^3 * (.15)^3 =

(1)(1)(.15)^6 + (6)(.85)(.15)^5 + (15)(.85)^2 *(.15)^4 + (20)(.85)^3 * (.15)^3 =

0.047

3 0
2 years ago
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