A complex electronic device contains three components, A, B, and C. The probabilities of failure for each component in any one y
1 answer:
Answer:
0.9219 or 92.19%
Step-by-step explanation:
The probability that the device will not fail in one year is given by the joint probability that none of the three components will fail within the year. The individual probabilities of not failing are:
The joint probability is:
There is a 0.9219 or 92.19% probability that the device will not fail in one year.
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Part 1)
we have that
F(x) =(x+3)²<span>−1
using a graph tool
see the attached figure N 1
we know that
t</span><span>he x-intercepts of the graph is when y=0
the points are (-4,0) and (-2,0)
</span><span>the y-intercepts of the graph is when x=0
the point is (0,8)
the graph is a vertical parabola that opens up
so
the vertex of the parabola is a minimum
the vertex is the point (-3,-1)
Part 2) </span>Write the function g(x) in the form y=a(x−h)²<span>+k . Write the equation for the line of symmetry for the graph of g(x)
</span>
we have that
G(x) =−2x²<span>+8x+3
</span><span>Group terms that contain the same variable
</span>G(x) =(−2x²+8x)+3
Factor the leading coefficient
G(x) =-2*(x²-4x)+3
<span>Complete the square. Remember to balance the equation
</span>G(x) =-2*(x²-4x+4-4)+3
G(x) =-2*(x²-4x+4)+3 +8
G(x) =-2*(x²-4x+4)+11
the vertex is the point (2,11)
so
the equation for the line of symmetry is x=2
Part 3) we have that
H (t) =−16t²<span>+28t
see the attached figure N 3
</span><span>the total length of time, in seconds, it took the dolphin to complete one jump is the difference for t=0 sec and t=1.75 sec
(1.75-0)=1.75 sec
the answer Part 3) is 1.75 sec</span>
we have that
F(x) =(x+3)²<span>−1
using a graph tool
see the attached figure N 1
we know that
t</span><span>he x-intercepts of the graph is when y=0
the points are (-4,0) and (-2,0)
</span><span>the y-intercepts of the graph is when x=0
the point is (0,8)
the graph is a vertical parabola that opens up
so
the vertex of the parabola is a minimum
the vertex is the point (-3,-1)
Part 2) </span>Write the function g(x) in the form y=a(x−h)²<span>+k . Write the equation for the line of symmetry for the graph of g(x)
</span>
we have that
G(x) =−2x²<span>+8x+3
</span><span>Group terms that contain the same variable
</span>G(x) =(−2x²+8x)+3
Factor the leading coefficient
G(x) =-2*(x²-4x)+3
<span>Complete the square. Remember to balance the equation
</span>G(x) =-2*(x²-4x+4-4)+3
G(x) =-2*(x²-4x+4)+3 +8
G(x) =-2*(x²-4x+4)+11
Rewrite as perfect squares
G(x) =-2*(x-2)²+11
the answer Part 2) is
G(x) =-2*(x-2)²+11
see the attached figure N 2
the vertex is the point (2,11)
so
the equation for the line of symmetry is x=2
Part 3) we have that
H (t) =−16t²<span>+28t
see the attached figure N 3
</span><span>the total length of time, in seconds, it took the dolphin to complete one jump is the difference for t=0 sec and t=1.75 sec
(1.75-0)=1.75 sec
the answer Part 3) is 1.75 sec</span>
Answer:
I am mostly guessing your question is to find p
Hope my answer helps..
