The estimated probability would be 0.1... I had this test yesterday. hope this helps
Answer:
7/2(1/2)^(n-1)
Step-by-step explanation:
multiplied by 1/2 each time, and first one is 7/2, so 7/2(1/2)^(n-1)
Answer:
The solution of the equation 9x=7(x+2) is:
Option D) 7
Step-by-step explanation:
9x=7(x+2)
Eliminating the parentheses applying distributive property:
9x=7(x)+7(2)
Multiplying:
9x=7x+14
Grouping the x's on the left side of the equation: Subtracting 7x both sides of the equation:
9x-7x=7x+14-7x
Subtracting:
2x=14
Solving for x: Dividing both sides of the equation by 2:
2x/2=14/2
Dividing:
x=7
Solution: x=7 (option D)
The second option the height is 18 .
Let point C be (x, 0), then
AC = sqrt((x - 0)^2 + (0 - 2)^2) = sqrt(x^2 + 4) and
BC = sqrt((x - 9)^2 + (0 - 4)^2) = sqrt(x^2 - 18x + 81 + 16) = sqrt(x^2 - 18x + 97)
AC + BC = sqrt(x^2 + 4) + sqrt(x^2 - 18x + 97)
For minimum AC + BC, d(AC + BC)/dx = 0
d(AC + BC)/dx = x/sqrt(x^2 + 4) + (2x - 18)/sqrt(x^2 - 18x + 97) = 0
x(x^2 - 18x + 97) = -(2x - 18)(x^2 + 4)
x^3 - 18x^2 + 97x = -(2x^3 + 8x - 18x^2 - 72) = -2x^3 + 18x^2 - 8x + 72
3x^3 - 36x^2 + 105x - 72 = 0
x^3 - 12x^2 + 35x - 24 = 0
x = 8, 3, 1
Therefore, point C = (8, 0) or (3, 0) or (1, 0)