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Daniel [21]
3 years ago
13

Tom is a cashier at HEB, he makes $13.25 per hour. If he works 22 hours this week what will be his gross income?

Mathematics
1 answer:
mamaluj [8]3 years ago
6 0

Answer:

  $291.50

Step-by-step explanation:

For 22 hours, he earns 22 times his hourly pay.

  22×$13.25 = $291.50

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A country's population in 1992 was 72 million. In 1998 it was 76 million. Estimate the population in 2012 using the exponential
stepan [7]
We assume the annual percentage increase is the same. We will work out the constant k using the formula

We have
P = 76
A = 72
t = 6 years (from 1992 to 1998)

Substitute into the formula
76=72e^{6k}
\frac{76}{72}=e^{8k}
Take log both sides give
ln( \frac{76}{72})=ln(e^{6k})
0.05406722127=6k
k=0.009

We can now work out the number of population by the end of 2012 using the formula

We have
A = 72 million
k = 0.009
t = 10 years (1992 to 2012)

P=72e^{0.009*10}P=78.78≈79 million


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Say a hacker has a list of n distinct password candidates, only one of which will successfully log her into a secure system. a.
alexdok [17]

Answer:

The probability is \frac{1}{n}

Step-by-step explanation:

If she has n distinct password candidates and only one of which will successfully log her into a secure system, the probability that her first first successful login will be on her k-th try is:

If k=1

P = \frac{1}{n}

Because, in her first try she has n possibles options and just one give her a successful login.

If k=2

P=\frac{n-1}{n} *\frac{1}{n-1} =\frac{1}{n}

Because, in her first try she has n possibles options and n-1 that are not correct, then, she has n-1 possibles options and 1 of that give her a successful login.

If k=3

P=\frac{n-1}{n} *\frac{n-2}{n-1} *\frac{1}{n-2} = \frac{1}{n}

Because, in her first try she has n possibles options and n-1 that are not correct, then, she has n-1 possibles options and n-2 that are not correct and after that, she has n-2 possibles options and 1 give her a successful login.

Finally, no matter what is the value of k, the probability that her first successful login will be (exactly) on her k-th try is 1/n

7 0
3 years ago
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