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Dmitriy789 [7]
3 years ago
9

Successful implementation of a new system is based on three independent modules. Module 1 works properly with probability 0.9, M

odule 2 works properly with probability 0.84, and Module 3 works properly with probability 0.65. What is the probability that at least one of these three modules will fail to work properly?
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
8 0

Answer:

The probability is 0.5086

Step-by-step explanation:

The probability P that at least one of these three modules will fail to work properly is calculated as:

P = 1 - P'

Where P' is the probability that all the modules works properly. So, P' os calculated as:

P' = 0.9 * 0.84 * 0.65

P' = 0.4914

Because 0.9 is the probability that module 1 works properly, 0.84 is the probability that module 2 works properly and 0.65 is the probability that module 3 works properly.

Finally, the probability P that at least one of these three modules will fail to work properly is:

P = 1 - 0.4914

P = 0.5086

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3 years ago
Oct 07, 1:28:22 PM
Alenkasestr [34]

Answer:

<u><em>y=3/4x+7</em></u>

Step-by-step explanation:

<em><u>You want to find the equation for a line that passes through the point (-4,4) and has a slope of 3/4. </u></em>

<em><u>First of all, remember what the equation of a line is: </u></em>

<em><u> </u></em>

<em><u>y = mx+b </u></em>

<em><u>Where: </u></em>

<em><u>m is the slope, and </u></em>

<em><u>b is the y-intercept </u></em>

<em><u>To start, you know what m is; it's just the slope, which you said was 3/4. So you can right away fill in the equation for a line somewhat to read: </u></em>

<em><u>y=3/4x+b. </u></em>

<em><u>Now, what about b, the y-intercept? </u></em>

<em><u> </u></em>

<em><u>To find b, think about what your (x,y) point means: </u></em>

<em><u>(-4,4). When x of the line is -4, y of the line must be 4. </u></em>

<em><u>Because you said the line passes through this point, right? </u></em>

<em><u>Now, look at our line's equation so far: . b is what we want, the 3/4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-4,4). </u></em>

<em><u> </u></em>

<em><u>So, why not plug in for x the number -4 and for y the number 4? This will allow us to solve for b for the particular line that passes through the point you gave!. </u></em>

<em><u> </u></em>

<em><u>(-4,4). y=mx+b or 4=3/4 × -4+b, or solving for b: b=4-(3/4)(-4). b=7.</u></em>

<em><u /></em>

<em><u /></em>

<em><u /></em>

<em><u>hope this answers your question sorry it's soo long i just like writing long stuff have a great day!!</u></em>

7 0
2 years ago
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