Answer:
(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
Answer: he completed he completed 103.5 push ups in 45 seconds
Answer:(
7
,
6
)
Explanation:
We can find the coordinates of the midpoint of a line segment, by finding the mean of the sum of the
x
coordinates and the mean of the sum of the
y
coordinates.
x
=
8
+
6
2
=
7
y
=
2
+
10
2
=
6
Coordinate of midpoint:
(
7
,
6
)
Answer:
- x = 3
- y = 4.
- There are infinite solutions. I'll just give you this solution.
Step-by-step explanation:
<u>Given equation:</u>
<u>Solve for variables:</u>
- 7 - x = y
- 7 - 3 = 4
- 7 - y = x
- 7 - 4 = 3.
<u>Answers:</u>
Answer:
13.5
Step-by-step explanation:
7 1/2=7.5
7.5/5*9=13.5