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nirvana33 [79]
3 years ago
14

Is 5.16 a rational or irrational number?

Mathematics
1 answer:
IgorC [24]3 years ago
6 0

Answer:

rational

Step-by-step explanation:

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If a watch has a 0.12 defect rate. what is the probability that the watch has fewer than 3 defects in a run of 75 chimes?
Maslowich

Answer:

(\frac{88}{100})^{75} + \binom{75}{1} (\frac{88}{100})^{74}(\frac{12}{100}) + \binom{75}{2} (\frac{88}{100})^{73}(\frac{12}{100})^{2}

Step-by-step explanation:

If a watch has fewer than three defects, then either 1.) It has no defects, 2.) it has exactly 1 defect, or 3.) it has exactly 2 defects.

1.) The probability that the watch has no defects is (\frac{88}{100})^{75}, because for every chime there is a probability of \frac{88}{100} that there is no defect

2.) The probability that the watch has exactly 1 defect is (\frac{88}{100})^{74}(\frac{12}{100}) times the number of ways you can choose 1 of 75 of the chimes to be defective, which is \binom{75}{1}, so the probability that the watch has exactly 1 defect is \binom{75}{1} (\frac{88}{100})^{74}(\frac{12}{100}).

3.) For the same reason as 2.), the probability that the watch has exactly two defects is \binom{75}{2} (\frac{88}{100})^{73}(\frac{12}{100})^{2}

Since 1.), 2.), and 3.) are mutually exclusive events, the probability of their union is simply the probability of each of them added together, which is (\frac{88}{100})^{75} + \binom{75}{1} (\frac{88}{100})^{74}(\frac{12}{100}) + \binom{75}{2} (\frac{88}{100})^{73}(\frac{12}{100})^{2}

8 0
4 years ago
Please help me to answer this
Igoryamba
A. 1 = 3/3 = 4/4 = 52/52 = x/x

B. 5 = 10/2 = 15/3 = 7.5/1.5 = 120/24 = 5a/a

All the ratios must equal each other
5 0
4 years ago
A painting is 4 feet long.A photo frame is 10 inches long.How many inches longer is the painting then the photo frame?
Galina-37 [17]
Change 4 feet to inches
4 feet is 48 inches
48-10=38
3 0
3 years ago
Given the equation y=4x-3, if x increases by 2 unit, what is the corresponding change in y
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y increases by 8

given y = 4x - 3 then an increase in x of 2 units gives

y = 4(x + 2) - 3 = 4x + 8 - 3 = 4x + 5

change in y = 4x + 5 - (4x - 3) = 4x + 5 - 4x + 3 = 8


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3 years ago
Can someone please help me ASAP??
Kryger [21]
Furbelows diene jfd for dog r ISP so odds ry pick
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