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Rzqust [24]
3 years ago
10

The question is in the picture.

Mathematics
1 answer:
harkovskaia [24]3 years ago
8 0

Answer:

1. 3sqrt(2)

Choice C

2. 2sqrt(3)

Choice D

Step-by-step explanation:

1.  sqrt(x+3)

sqrt(15+3)

sqrt(18)

sqrt(9*2)

sqrt(9)sqrt(2)

3sqrt(2)

Choice C


2.  6/sqrt(x)

6/sqrt(3)

no radicals in the denominator, multiply by 1 in the form of the radical

6/sqrt(3) * sqrt(3)/sqrt(3)

6sqrt(3)/ (sqrt(3)*sqrt(3))

6sqrt(3)/3

2sqrt(3)

Choice D


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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
3 years ago
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