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xxTIMURxx [149]
3 years ago
7

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. the square of a num

ber increased by 5 times the number is equal to 176. find the number. the number is
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
6 0
Let,
The number be "x"

According to the question,

x² + 5x = 176
x² + 5x - 176 = 0
x² + 16x - 11x - 176 = 0
x (x + 16) - 11 ( x + 16) = 0
(x + 16) (x - 11) = 0

Now,
Using zero product property:

Either,
x + 16 = 0
x = -16

Or,
x - 11 = 0
x = 11

So,
The number is either "-16" or "11".


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Two pumps connected in parallel fail indepen- dently of each other on any given day. The proba- bility that only the older pump
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Answer: 0.145

Step-by-step explanation:

Since,

the Probability of the older pump failing P(fail older) = 0.10

The probability of the newer pump failing P(fail newer) = 0.05

Therefore,

The Probability of the older pump not failing P(not fail older) = 1 - 0.1

P(not fail older) = 0.9

Also,

The probability of the newer pump not failing P(not fail newer) = 1 - 0.05 = 0.95

The probability of the pumping system failing = P(not fail older)* P(not fail newer) = 0.9*0.95

P(not fail system)= 0.855

Therefore,

The probability that the pumping system will fail = 1 - P(not fail system) = 1 - 0.855 = 0.145

The probability that the pumping system will fail one day is 0.145

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3 years ago
Which of the following is the radical expression of 2d^7/10
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Answer:

\sqrt[10]{2d^{7} }

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Read 2 more answers
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