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Virty [35]
3 years ago
8

City of Ann Arbor wishes to form a Green Club, a group of people devoted to green technology. The club is open to all, and enrol

lment is done on rst-come- rst-serve basis. The enrollment stops when there are exactly 5 people who are born on January 1 in the club. Assume that there are always enough people in Ann Arbor who wish to join the club. Let X denote the size of the club. Find the expected value of X. (Assume that there are no leap years).
Mathematics
1 answer:
IgorLugansk [536]3 years ago
6 0

Answer:

1820

Step-by-step explanation:

X the size of the club will follow negative binomial distribution with probability of success p and number of failures r

p = 364/365, r = 5

hence E[x] = pr/(1-p) = 364/365 x 5 /(1/365) = 1820

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Hey guys could you help?
lawyer [7]

Answer:

Canadian railcars show weight figures in both imperial and metric. Canadian railways also maintain exclusive use of imperial measurements to describe train length and height in feet and train masses in short tons. Canadians typically use a mix of metric and imperial measurements in their daily lives.

6 0
2 years ago
Let p: The whole number has one digit.
Alex73 [517]

The statement "The whole number has one digit if and only if the whole number is less than 10" is true for converse statement. Then the correct option is C.

<h3>What are converse statements?</h3>

A inverse statement is one that is derived by opposing the supposition and result of a relative clause.

Let p: The whole number has one digit.

Let q: The whole number is less than 10.

The statement "The whole number has one digit if and only if the whole number is less than 10" is true for converse statement.

If p → q, then, q → p

Then the correct option is C.

More about the converse statements link is given below.

brainly.com/question/18152035

#SPJ1

4 0
2 years ago
Find the value of k such that lim--&gt;4 (x^2+x-k)/(x-4) exists
7nadin3 [17]

Answer:

k=20

Step-by-step explanation:

when x approaches 4, the denominator x-4 approaches 0

if the denominator is 0, it means that this is invalid

if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit

so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4

so x^2 + x - k = 0 when x = 4

4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20

6 0
3 years ago
What are the three differences between an inconsistent system and a consistent and independent system. Explan?
RUDIKE [14]
Hey there Mejia021274,
1) Independent systems have exactly one solution:
x + y = 1
x - y = 3
x = 2, y = -1

2) Inconsistent systems have no solutions :
5x + y = 6
5x + y = 10
There is no solution as 5x + y cannot be equal to 6 and 10

3) Consistent systems have a lot of solutions:
x+y = 5 
<span>2x+2y = 10 </span>
<span>A few solutions to this system are (1,4), (2,3), (3,2), (4,1), (5,0), and so on.
</span>
Hope this helps :))

~Top
5 0
3 years ago
One half of the sum of a number and 10
garri49 [273]

Let's assume the number be x.

So, sum of a number and 10 can be written as x+10.

Now the given statement is "One half of the sum of a number and 10 ".

So, one half of x+10 can be written as \frac{1}{2} (x+10)

6 0
3 years ago
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