Helpp me plz now thx

From the set $\{1, 2, 3, \dots, 20\},$ ten numbers are chosen at random, forming a subset. Let $M$ be the largest element among

Marysya12 [62]

The largest element can be as small as 10, which happens when the subset is {1, 2, ..., 10}. The probability of choosing this subset is (1/2)^10 = 1/1024. (Every element from 1 to 10 can either be in the subset, or not.)

The largest element can also be 11. All the numbers in the subset must be from 1 to 10, and we must choose 1 to leave out, so the probability that the largest element is 11 is C(10,1)*1/1024.

The largest element can also be 12. All the numbers in the subset must be from 1 to 11, and we must choose 2 to leave out, so the probability that the largest element is 12 is C(11,2)*1/1024.

We can do the other cases similarly:

Largest element is 13 -> C(12,3)*1/1024

Largest element is 14 -> C(13,4)*1/1024

Largest element is 15 -> C(14,5)*1/1024

Largest element is 16 -> C(15,6)*1/1024

Largest element is 17 -> C(16,7)*1/1024

Largest element is 18 -> C(17,8)*1/1024

Largest element is 19 -> C(18,9)*1/1024

Largest element is 20 -> C(19,10)*1/1024

Adding these up, we get (1 + C(10,1) + C(11,2) + ... + C(19,10))*1/1024. Since 1 = C(9,0), we also get (C(9,0) + C(10,1) + C(11,2) + ... + C(19,10))*1/1024.

By the Hockey Stick Identity, C(9,0) + C(10,1) + C(11,2) + ... + C(19,10) = C(20,10), so the expected value of the largest element is 1/11*C(20,10)*1/1024 = 4199/256.

6 0

3 years ago

Moates Corporation has provided the following data concerning an investment project that it is considering: Initial investment $

garik1379 [7]

Answer:

Ans. the net present value is exactly $50,602, so it is closer to b) $50,504

Explanation:

Hi, to find the net present value of this problem, we have to use the following formula.

$NPV=-Investment+\frac{AnnualCashFlow((1+rate)^{n}-1) }{rate(1+rate)^{n} }$

Therefore

$NPV=-390000+\frac{136000((1+0.09)^{4}-1) }{0.09(1+0.09)^{4} } =50601.9=50602$

So the answer is b) $50,504

Best of luck

7 0

3 years ago

Adjustments ensure that ______ balances are reported at amounts representing the economic benefits that remain at the end of the

Georgia [21]

What we own are asset, adjustments ensure that asset balances are reported

<h3>What is an asset?</h3>

An asset is of worth that has economic value and future benefit. An asset can serve as a source of income generating money for present and future endeavors.

Therefore, what we own are asset, adjustments ensure that asset balances are reported

Learn more on assets here,

brainly.com/question/25821437

5 0

2 years ago

Why the frikkkk did all my question/answers delete?????

Arada [10]

Answer:

I got a warning for sponsoring myself

7 0

3 years ago

Read 2 more answers

You have $1,500 today in your savings account. How long must you wait for your savings to be worth $4,000 if you are earning 1.1

marta [7]

Answer:

89.66 years

Explanation:

In this question, we use the NPER formula which is shown in the spreadsheet.

The NPER represents the time period.

Given that,

Present value = $1,500

Future value = $4,000

Rate of interest = 1.1%

The formula is shown below:

= NPER(Rate;PMT;-PV;FV;type)

The present value come in negative

So, after solving this, the answer would be 89.66 years

5 0

3 years ago