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Katyanochek1 [597]

3 years ago

7

You toss n balls into n bins. for each toss there is a 1/n probability that the ball you toss lands in any one of the bins. afte

r n tosses, what is the expected number of empty bins?

1 answer:

defon3 years ago

7 0

Answer:1/n - 2/n= -1/n

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Mohamed decided to track the number of leaves on the tree in his backyard each year The first year there were 500 leaves Each ye

svetlana [45]

Answer:

The required recursive formula is

$f(n)= 500\times(1.4)^{n-1}\\$

Step-by-step explanation:

Mohamed decided to track the number of leaves on the tree in his backyard each year.

The first year there were 500 leaves

$Year \: 1 = 500$

Each year thereafter the number of leaves was 40% more than the year before so that means

$Year \: 2 = 500(1+0.40) = 500\times 1.4\\$

For the third year the number of leaves increase 40% than the year before so that means

$Year \: 3 = 500\times 1.4(1+0.40) = 500 \times 1.4^{2}\\$

Similarly for fourth year,

$Year \: 4 = 500\times 1.4^{2}(1+0.40) = 500\times 1.4^{3}\\$

So we can clearly see the pattern here

Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

$f(n)= 500\times(1.4)^{n-1}\\$

This is the required recursive formula to find the number of leaves for the nth year.

Bonus:

Lets find out the number of leaves in the 10th year,

$f(10)= 500\times(1.4)^{10-1}\\\\f(10)= 500\times(1.4)^{9}\\\\f(10)= 500\times20.66\\\\f(10)= 10330$

So there will be 10330 leaves in the 10th year.

3 0

3 years ago

Read 2 more answers

Which expression is equivalent to 3m + 1 - m?<br><br> 2 + m - 1 + - m<br> 1 + m<br> 3m - 1<br> 3m

Rasek [7]

Answer:

I believe it would be A) 2 + m - 1 + - m

5 0

3 years ago

I need help..... please

Bogdan [553]

Answer:

Step-by-step explanation:

I would say Town residents

5 0

2 years ago

The table represents some points on the graph of a linear function.

Sunny_sXe [5.5K]

Answer:

B. $-\frac{9}{2}$

Step-by-step explanation:

Rate of change of y with respect to x, can be calculated using any two of the pairs of values of the table, say, (-2, 12) and (0, 3).

Rate of change = $\frac{y_2 - y_1}{x_2 - x_1}$

Let,

$(-2, 12) = (x_1, y_1)$

$(0, 3) = (x_2, y_2)$

Plug in the values

Rate of change = $\frac{3 - 12}{0 - (-2)} = \frac{-9}{2} = -\frac{9}{2}$

7 0

2 years ago

If the boy plays for a long time with all the blocks what is the probability of finding the red block in the toy box, the blue b

serg [7]

It is most likely to be %45- 65 chance

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3 years ago