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mr_godi [17]
2 years ago
7

PLEASE HELP ME!!!! THIS IS TIMED PLEASE HELP ME!!!! PLEASE!!!! PLEASE HELP ME!

Mathematics
2 answers:
guapka [62]2 years ago
7 0

Answer:

18/28

Step-by-step explanation:

MissTica2 years ago
7 0
23/28 i could be wrong
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Dominic is 72 inches tall and casts a 6o inch shadow his son who is standing next to him cast a 50 inch shadow how tall is his s
Lostsunrise [7]

Dominics son is 45inches tall

<u>Step-by-step explanation:</u>

Let his sons height be 'h'

If Dominic is 72 inches and casts a shadow of 60 inches. His son casts a shadow of 50 inches.

Then We can say that,

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A computer system uses passwords that are six characters, and each character is one of the 26 letters (a–z) or 10 integers (0–9)
Blababa [14]

First of all, since we have 36 characters available per spot (26 letters and 10 digits), and we have 6 spots, we have a total of

36^6

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Event A happens if the password starts with either a, e, i, o or u. If we fix the first character, we're left with 36 characters available for each of the remaining 5 spots, leading to a total of

5\cdot 36^5

possible passwords.

So, the probability of event A, computed as the ratio between "good" cases and all possible cases, is

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Event B works exactly the same, since we're fixing the last spot, leaving 36 characters available for each of the first 5 spots. So, we have

P(A)=P(B)=\dfrac{5}{36}

As for the intersection, we want the first character to be a vowel, and the last character to be an even digits. There are 25 passwords satisfying this request:

axxxx0,\ axxxx2,\ axxxx4,\ axxxx6,\ axxxx8

exxxx0,\ exxxx2,\ exxxx4,\ exxxx6,\ exxxx8

ixxxx0,\ ixxxx2,\ ixxxx4,\ ixxxx6,\ ixxxx8

oaxxxx0,\ oxxxx2,\ oxxxx4,\ oxxxx6,\ oxxxx8

uxxxx0,\ uxxxx2,\ uxxxx4,\ uxxxx6,\ uxxxx8

Where x can be any of the 36 characters.

So, we have 25 cases with 4 vacant slots, leading to a probability of

P(A\cap B)=\dfrac{25\cdot 36^4}{36^6}=\dfrac{25}{1296}

Finally, you can compute the probability of the union using the formula

P(A\cup B)=P(A)+P(B)-P(A\cap B)

Since we already computed all these quantities.

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