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Vlad [161]
3 years ago
6

Please help asap

Mathematics
1 answer:
Marat540 [252]3 years ago
4 0

Answer:

Step-by-step explanation:

4x²+25=0

4x²-(-25)=0

4x²-(25×-1)=0

4x²-(25i²)=0

(2x)²-(5i)²=0

(2x+5i)(2x-5i)=0

either 2x+5i=0

x=-5i/2

or 2x-5i=0

x=5i/2

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A communications circuit is known to have an availability of 0.99 (that is, 99% of the time, the circuit is operational). A tota
sukhopar [10]

Answer:

Assume that for the communication to be available means that at least one of the n circuits is operational. It would take at least 3 circuits to achieve a 0.99999 overall availability.

Step-by-step explanation:

The probability that one circuit is not working is 1 - 0.99 = 0.01.

Since the circuits here are all independent of each other, the probability that none of them is working would be \displaystyle \underbrace{0.01 \times 0.01 \times \cdots \times 0.01}_{\text{$n$ times}}. That's the same as 0.01^n.

The event that at least one of the n circuits is working is the complement of the event that none of them is working. To find the probability that at least one of the n circuits is working, simply subtract the probability that none of the circuit is working from one. That is:

\begin{aligned}&P(\text{At least one working}) \cr &= 1 - P(\text{None is working}) \cr &= 1- 0.01^n\end{aligned}.

The question requests that

P(\text{At least one working}) \ge 0.99999.

In other words,

1- 0.01^n \ge 0.99999.

0.01^n \le 1 - 0.99999 = 0.000001 = 10^{-6}.

Note that 0.01 = 10^{-2}. Hence, the inequality becomes

\left(10^{-2}\right)^n \le 10^{-6}.

10^{-2\,n} \le 10^{-6}

Take the natural log of both sides of the equation:

\ln\left(10^{-2\, n}\right) \le \ln \left(10^{-6}\right).

(-2\, n)\ln\left(10\right) \le (-6) \ln\left(10\right).

10 > 1, hence \ln(10) > 0. Divide both sides by \ln(10):

-2\,n \le -6.

n \ge 3.

In other words, at least three parallel circuits must be set up to achieve that availability.

5 0
4 years ago
To find the measures of the lettered angles
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< d = 90 - 57
< d = 33

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< e = 29
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3 years ago
Tyler has earned money by helping out on a neighbor's farm and now wants to put his earnings in a savings account. He is a bit c
weeeeeb [17]
The awnser is $1800
1500*.04*5= 1800
3 0
3 years ago
3x-7y=2 solve for x. Can you show how you do it?
9966 [12]
1)  3x-7y=2
2)  If you're solving for x, you want to isolate it, so move the -7y to the right:
          3x = 7y + 2
3)  Now, to get x by itself, you divide both sides by 3
          3x/3 = (7y + 2)/3
4)  You get:
           x = 7/3y + 2/3 
8 0
4 years ago
Read 2 more answers
Which of the following represents two lines that are coplanar and do not intersect?
OverLord2011 [107]

Question:

Which of the following represents two lines that are coplanar and do not intersect?

A. Perpendicular

B. Skew

C. Parallel

D. Intersecting

Answer:

Two lines that are co -planar and do not intersect is  Parallel.

Step-by-step explanation:

Two lines are said to be parallel if they lie in the same plane, and are the same distance apart over their entire length.Each line has many parallels. Any line that has the same slope as the original will never intersect with it.  Hence Parallel Lines would never cross, even if extended forever. Technically parallel lines are two coplanar which means they share the same plane or they're in the same plane that never intersect

7 0
3 years ago
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