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IrinaK [193]
3 years ago
14

A k out of n system is one in which there is a group of n components, and the system will function if at least k of the componen

ts function. For a certain 4 out of 6 system, assume that on a rainy day each component has probability 0.6 of functioning, and that on a nonrainy day each component has probability 0.9 of functioning. What is the probability that the system functions on a rainy day
Mathematics
1 answer:
kotykmax [81]3 years ago
8 0

Answer:

bbb

St  bep-by-step explanation:

jj

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Can u please help me solve? I'm reviewing for finals.
Black_prince [1.1K]

Given:

Consider the given graph as a reference of the solution.

To find:

-3(u\cdot v)

Explanation:

By analyzing the graph, we can define the coordinate of vector u and v:

\[\begin{align} & \vec{u}=(-8,-9)-(0,0)=(-8,-9) \\  & \vec{v}=(3,7)-(0,0)=(3,7)\end{align}\]

Now, let perform the dot product of two vectors,

\begin{gathered} u\cdot v=(-8,-9)\cdot(3,7) \\ u\cdot v=(-8)(3)+(-9)(7) \\ u\cdot v=-24-63 \\ u\cdot v=-87 \end{gathered}

Now, perform the required operation,

\begin{gathered} -3(u\cdot v) \\ =-3(-87) \\ =261 \end{gathered}

Final answer:

Hence, the required solution is:

-3(u\cdot v)=261

8 0
1 year ago
Malcom has $638.54 in his checking account he must maintain a $500 balance to avoid a fee he wrote a check for $159.50 today wri
Elanso [62]

Answer:

$20.96

Step-by-step explanation:

He has $638.54 in his account and writes a check for $159.50. The amount of money he needs to stay at or above $500 is denoted by x.

638.54 - 159.50 + x >= 500

After writing a check, Malcom has $479.04 left in his account, which is below his cutoff.

479.04 + x >= 500

He must add at least x amount of dollars to his account to avoid a fee.

x >= 20.96

In order to avoid a fee, Malcom must add a minimum of $20.96 to his account.

6 0
3 years ago
X, 8, y make an arithmetic sequence. x, y, 20 also make an arithmetic sequence. What is x and y?
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First sequence with common difference:
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Second sequence:
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Solving two simultaneous equations:
x=16-y
20-y=y-16+y
y=12
x=4
4 0
3 years ago
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