Answer:
1/7
Step-by-step explanation:
The probability that the Captain hits is \dfrac{1}{2}
2
1
start fraction, 1, divided by, 2, end fraction.
The probability that the pirate hits is \dfrac{2}{7}
7
2
start fraction, 2, divided by, 7, end fraction.
1/2 x 2/7 = 1/7
F(x) = 18-x^2 is a parabola having vertex at (0, 18) and opening downwards.
g(x) = 2x^2-9 is a parabola having vertex at (0, -9) and opening upwards.
By symmetry, let the x-coordinates of the vertices of rectangle be x and -x => its width is 2x.
Height of the rectangle is y1 + y2, where y1 is the y-coordinate of the vertex on the parabola f and y2 is that of g.
=> Area, A
= 2x (y1 - y2)
= 2x (18 - x^2 - 2x^2 + 9)
= 2x (27 - 3x^2)
= 54x - 6x^3
For area to be maximum, dA/dx = 0 and d²A/dx² < 0
=> 54 - 18x^2 = 0
=> x = √3 (note: x = - √3 gives the x-coordinate of vertex in second and third quadrants)
d²A/dx² = - 36x < 0 for x = √3
=> maximum area
= 54(√3) - 6(√3)^3
= 54√3 - 18√3
= 36√3.
Answer:
24.5025
Step-by-step explanation:
4.95 x 4.95=24.5025
Hope I helped!
Answers the answer for question one is 3 , for question number two the answer is 9 and the answer for the last question is 24
Step-by-step explanation:
