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xeze [42]
3 years ago
6

The probability is 1% that an electrical connector that is kept dry fails during the warranty period. If the connector is ever w

et, the probability of a failure during the warranty period is 5%. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period?
Mathematics
1 answer:
navik [9.2K]3 years ago
3 0

Answer:

A 1.4% of the total connectors are expected to fail during the warranty period.

Step-by-step explanation:

Let's assume a population of 1000 connectors (to make the math easiest) and let's analize the dry connectors.  

Of the 1000 connectors, 900 are kept dry. and of that number, 9 are the ones that fails during the warranty period.  (90% of 1000 is 900. 1% of 900 is 9)

Of the 1000 connectors, 100 are wet. And of that number, 5 are connectors that will fail during the warranty period. (10% of 1000 is 100, and 5% of 100 is 5)

So overall we have 14 connectors that will fail from 1000 connectors.

That is a 1.4% of the total samples.

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Mr. Gold had 4 times more cars than motorcycles in his garage. After he bought 4 more cars and sold 4 motorcycles, there were 8
fenix001 [56]

Answer: 36 cars and 9 motorcycles


Step-by-step explanation:

  1. It's given that he has x motorcycles to 4x cars
  2. After he bought the cars and sold the motorcycles, he had 4x+4 cars to x-4 motorcycles
  3. Since after this selling/buying, he has 8 times more cars than motorcycles, you can write the equation 4x+4=8(x-4)
  4. Once you solve you get 36 cars and 9 motorcycles
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3 years ago
Solve the following system of equations graphically on the set of axes below.
Stells [14]

Answer: The solution is (2, 2)

Step-by-step explanation:

We have the system of equations:

y = 2*x - 2

x + y = 4

The first step is to write both equations as linear equations in the slope-intercept form.

y = 2*x - 2

y = -x + 4

Now we have two lines, and we can just graph them, the easiest way is the replace the value of x and obtain two points that belong to the line, and then draw a line that passes through both lines.

For example with the first one, we can firt replace x by 0 to get:

y = 2*0 - 2

y = -2

Then the point (0, -2) belongs to this line.

Now we can replace x by 1 to get:

y = 2*1 - 2 = 0

y = 0

The point (1, 0) belongs to this line.

Then we can draw these two points in the graph, and just draw a line that passes through these two points.

Once you have your two lines drawn, the solution of the system will be the point in which the lines intersect.

Below, you can see the two lines graphed (the green is the first one and the red is the second one)

And we can see that they intersect in the point (2, 2)

Then the solution of the system is (2, 2)

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3 years ago
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irina1246 [14]

Answer:

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Step-by-step explanation:

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LuckyWell [14K]

Answer:

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Step-by-step explanation:

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4 years ago
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