Help please !! 20 points

Mathematics

1 answer:

Readme [11.4K]3 years ago

8 0

For the table 0.2 would be (1/5) 0.5 would be (1/2). And 0.7 would be (7/10).

For number 2 I would say the denominator changed each time

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Uptown Country Club only admits members with annual incomes in the top 2.5% of the United States. If the annual individual incom

Verdich [7]

Answer:

$74,600

Step-by-step explanation:

-Given the probability is 2.5%, mean=$55,000 and standard deviation= $10,000

-We find the z value of 2.5%

$p=P(z>\frac{X-\mu}{\sigma})\\\\1.96=P(z$

Hence, the minimum amount of income to be in the top 2.5% is $74,600

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Express XCVI to Hindu Arabic<br>numerals.

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Answer:

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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

$36^6$

possible passwords.

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

$\dfrac{5\cdot 36^5}{36^6}=\dfrac{5}{36}$

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:

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