Answer: -1, 2 and 4
Step-by-step explanation:
Answer:
One
General Formulas and Concepts:
<u>Algebra I</u>
- Reading a coordinate plane
- Solving systems of equations by graphing
Step-by-step explanation:
If 2 lines are parallel, they will have no solution.
If 2 lines are the same, they will have infinite amount of solutions.
We see from the graph that the 2 lines intersect at one point, near x = 1.5.
∴ our systems has 1 solution.
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:
(x - 6)(x - 11)
Step-by-step explanation:
x² - 17x + 66
-11 and -6
x² -11x - 6x + 66
x(x -11) - 6(x -11)
(x - 6) (x - 11)
(x = 6 or x = 11) These are the possibilities of x
Answer:
C. 70 cm
Step-by-step explanation:
Split all the shapes, so, the square would be:
4 × 10 = 40
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Each triangle has an area of 7.5:
7.5 × 4 = 30
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30 + 40 = 70
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Have a good day :)
