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Arlecino [84]
3 years ago
9

5. To prevent a flooded basement, a homeowner has installed two special pumps that work automatically and independently to pump

water if the water level gets too high. One pump is
rather old and does not work 28% of the time, and the second pump is newer and does not work 9% of the time. Find the probability that both pumps will fail to work at the same time.
Mathematics
1 answer:
NeX [460]3 years ago
7 0

Answer:

The probability that both pumps will fail to work at the same time is 0.025 or 2.5%.

Step-by-step explanation:

The probability that both pumps will fail to work at the same time is the multiplication of the probabilities that the pomps fail.

That is

  • the probability that the old pump fail = \frac{28}{100}
  • the probability that the newer pump fail = \frac{9}{100}

Then, the probability that both fail at the same time is:

\frac{28}{100} * \frac{9}{100} = 0.025

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Solve the equation.-21=m/3m<br> m=7<br> m=-7<br> m=-63<br> m=63
Jlenok [28]
-21


I hope this helps and have a wonderful day filled with joy!!


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6 0
3 years ago
To celebrate there 125 anniversary, a company in Germany produced 125 very expensive teddy bears. The bears,known as the "125 ka
liq [111]

Answer:

The cost of one bear is <u>$47,000</u>.

Step-by-step explanation:

The question is incomplete and the data is missing so the complete question with data is below with attached files:

To celebrate there 125 anniversary, a company in Germany produced 125 very expensive teddy bears. The bears,known as the "125 karat teddy bears", are made mohair,silk and gold thread and have diamond and sapphire eyes.

The chart shows the approximate cost of " 125 teddy bears". Based on the pattern, how much does one bear cost?

Now, to get the cost of one bear.

So, we solve it by using unitary method:

If 4 bears cost = $188,000.

Then 1 bear cost = 188000\div 4=47000

Thus, cost of one bear is $47,000.

Now, we check it by using another pattern of the data:

If 7 bears cost = $329,000.

Then 1 bear cost = 329000\div 7=47000.

Hence, the cost of one bear is $47,000.

Therefore, the cost of one bear is $47,000.

8 0
3 years ago
What is the step by step equation to solve 5 (y + 2/5) = -13
Temka [501]

5( y + 2/5) = -13

Distribute the 5 by multiplying the 5 by each term inside the set of parentheses:

5y + 2 = -13

Subtract 2 from both sides:

5y = -15

Divide both sides by 5:

Y = 3

The answer is y = 3

4 0
3 years ago
Does a kilogram have more or less mass than a gram?
maks197457 [2]
More, a kilogram is 1000x the mass of a gram
6 0
3 years ago
3x-2y=-1. <br> Y=-x+3. <br> Is (1,2) a solution do the system?
andrew-mc [135]

Answer:

Yes

Step-by-step explanation:

To figure out if (1,2) is a solution to the system, we can plug the values in and see if it is true.

3x-2y=-1

3(1)-2(2)=-1

3-4=-1

-1=-1

It is true for this equation. Now let's check the next one.

y=-x+3

2=-(1)+3

2=2

Since both equations are true when we plug the values in, (1,2) is a solution to the system.

8 0
3 years ago
Read 2 more answers
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