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taurus [48]
2 years ago
14

A locker combination has four nonzero digits. If no digit can be repeated and the first three digits are 1-2-3, what is the prob

ability that the fourth digit is 4
A. 1/6
B. 1/7
C. 1/8
D. 1/9
Mathematics
1 answer:
Elis [28]2 years ago
6 0

The probability that the fourth digit is 4 is 1/6.

<h3>What is the probability?</h3>

Probability is used to calculate the odds that a random event would happen.  The probability the event occurs is 1 and the probability that the event does not occur is 0.

Probability the number is 4 = 1 / possible numbers

Possible numbers = 4, 5,  6, 7, 8, 9,

= 1/6

To learn more about probability, please check: brainly.com/question/13234031

#SPJ1

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Answer:

A. <em>6.12</em>

Step-by-step explanation:

if you mark up 2.00$ with 240% you get 6.80 $

then, 0.68 is 10% of 6.80%

if you subtract 0.68 your answer will be 6.12$

So your answer is A. 6.12$

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2 years ago
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12. Which two numbers whose ratio is 3 to 2 have a sum of 35? PLEASE HELP ASAP!!
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Answer:

14 and 21

Step-by-step explanation:

You should solve the following linear equations : \\\frac{x}{y} = \frac{3}{2}\\ x+y=35

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3 years ago
For any n, 33 divides (n^101-n). prove this is true.
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What is this equation rewritten in logarithmic form?
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3 years ago
An assembled product is built by 10 worker who coordinate their task. A total of 100 units will be made. Time records indicate t
Brut [27]

Answer:

a) 86%

b) 2nd unit = 82 hs.

3rd unit = 75 hs

c) 100th unit = 36 hs

Step-by-step explanation:

We can model the learning curve for manufacturing the units as:

t=aX^b

where t is the time for the Xth unit, and a and b are parameters that we will calculate from the data,

We know that t(1)=95. Then, we have:

t(1)=a\cdot 1^b=95\\\\a=95

And we know that the fourth unit (X=4) take 71 hours to be completed (t(4)=71). Then, we can calculate the other parameter as:

t(4)=95\cdot4^b=71\\\\4^b=71/95\approx 0.7473\\\\b\cdot ln(4)=ln(0.7473)\\\\b=ln(0.7473)/ln(4)=-0.291/1.386\\\\b=-0.21

We have the model for the learning curve:

t=95X^{-0.21}

The learning rate percentage is calculated from the b parameter:

b=\dfrac{ln(LRP)}{ln(2)}=-0.21\\\\\\ln(LRP)=-0.21*ln(2)=-0.21*0.693=-0.1455\\\\LRP=e^{-0.1455}=0.86

The learning rate percentage is 86%.

b) The most likely times required for the 2nd and 3rd units are calculated with the model:

t(2)=95\cdot2^{-0.21}=95*0.864=82\\\\t(3)=95\cdot3^{-0.21}=95*0.794=75

c) If we use the model to calculate the time required for the 100th unit, we have:

t(100)=95\cdot100^{-0.21}=95*0.38=36

8 0
3 years ago
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