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Elena-2011 [213]
2 years ago
13

Jim wants to make a 4 letter password. He cannot repeat any letters in his password.How many combinations can he make

Mathematics
2 answers:
9966 [12]2 years ago
8 0

My previous answer was incorrect, sorry for that... the correct answer would be 358,800

Andreas93 [3]2 years ago
3 0

\huge\text{Hey there!}

\large\text{He has 26 letters all together (A  - Z)}

\large\text{25 if he  starts  from his  second letter (B - Z)}

\large\text{24 if he starts from his third letter (C - Z)}

\large\text{ 23 if he starts from his fourth letter (D - Z)}

\mathsf{26\times25\times24\times23}

\mathsf{26\times 25 = \bf 650}

\mathsf{650\times24\times23}

\mathsf{650\times24 = \bf 15,600}

\mathsf{15,600\times 23}

\mathsf{  =\bf  358,800}

\boxed{\boxed{\large\text{Answer: \huge \bf 358,800}}}\huge\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

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Every evening, two weather stations issue weather forecast for the next day. The weather forecasts are independent. On average,
EleoNora [17]

Answer:

The probability is 0.6923

Step-by-step explanation:

Let's call R the event that the next day rains, S the event that the next day has sunny weather, R2 the event that the station 2 predicts rain and S1 the event that station 1 predict sunny weather.

The probability that the next day has sunny weather given that station 1 predicts sunny weather for the next day and station 2 predicts rain is calculated as:

P(S/S1∩R2) = P(S∩S1∩R2)/P(S1∩R2)

Where P(S1∩R2) = P(R∩S1∩R2) + P(S∩S1∩R2)

So, the probability P(R∩S1∩R2) that the next day rains, Station 1 predicts sunny weather and Station 2 predicts Rain is calculate as:

P(R∩S1∩R2) = 0.5 * 0.1 * 0.8 = 0.04

Because 0.5 is the probability that the next day rains, 0.1 is the probability that station 1 predicts sunny weather given that it is going to rain and 0.8 is the probability that station 2 predicts rain given that it is going to rain.

At the same way, the probability P(S∩S1∩R2) that the next day has sunny weather, Station 1 predicts sunny weather and Station 2 predicts Rain is calculate as:

P(S∩S1∩R2) = 0.5 * 0.9 * 0.2 = 0.09

Then, the probability P(S1∩R2) that station 1 predicts sunny weather for the next day, whereas station 2 predicts rain is:

P(S1∩R2) = 0.04 + 0.09 = 0.13

Finally, P(S/S1∩R2) is:

P(S/S1∩R2) = 0.09/0.13 = 0.6923

6 0
3 years ago
How do you write 0.12 as a fraction
Arturiano [62]

[ Answer ]

\boxed{\frac{3}{25} }

[ Explanation ]

Rewrite 0.12 As A Fraction

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Rewrite Decimal As A Fraction With 1 As A Denominator

0.12 = \frac{0.12}{1}

Multiply To Remove Decimal Places

\frac{0.12}{1} · \frac{100}{100} = \frac{12}{100}

Find GCF, Reduce Fraction

\frac{12 \ / \ 4}{100 \ / \ 4} = \frac{3}{25}

0.12 = \frac{3}{25}

\boxed{\boxed{[ \ Eclipsed \ ]}}

7 0
3 years ago
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