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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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Evgesh-ka [11]

Answer:

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7 0
3 years ago
Lisa wants to use her calculator to square a two-digit positive integer, but she accidentally enters the tens digit incorrectly.
Svetradugi [14.3K]

Answer: Correct two digit number= 24

Step-by-step explanation:

Let

x= tens digit (wrong one)

and y= zeroes digit

and z= tens digit (right one)

Now according to the statement,

(10x+y)² -  (10z+y)² = 2340

Simplifying this we get

(x-z)(5x+y+5z)= 117= 1 * 3 * 3 * 13

So it could either be

x-z=1 or x-z=3

If we take the x-z=1

then 5x+y+5z=117

which is not possible as maximum value we can get from this is 99.

This leaves us with x-z=3

so 5x+y+5z= 39

Put x=3+z

We get,

y+10z= 24

Now as y and z both are single digits so the only possible numbers to fit these are y=4 and z=2.

Put z=2 in x=3+z , we get x=5

So the numbers become 10x+y= 54

and 10z+y= 24

Their sum is 54+24=78

Check

54²-24²= 2340 so it is correct.

7 0
3 years ago
Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?
Sphinxa [80]

Answer:

Step-by-step explanation:

a. The vertex is (1, -9).  False.  The vertex is (-1, -9).

b. The graph opens upward.  True.  That coefficient '6' is positive.

c. The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units.  False.  It's DOWN 9 units.

d. The graph is steeper than the graph of f(x) = x^2.  True.  The given function increases 6 times faster than does x^2.

e. The graph is the same as the graph of f(x) = 6x2 + 12x - 3.

Let's put f(x) = 6(x + 1)^2 -9 into standard form.  Expanding the first term, we get f(x) = 6(x^2 + 2x + 1) - 9, or f(x) = 6x^2 + 12x + 6 - 9.  YES, TRUE

3 0
2 years ago
WILL GIVE BRAINLIEST In a survey of 2,800 people who owned a certain type of​ car, 700 said they would buy that type of car agai
nirvana33 [79]

Answer:

25% of people said that they were satisfied.

Step-by-step explanation:

700 x 4 = 2,800 which means 700 is 1/4 of 2,800 and 1/4 as a percentage is 25%

5 0
3 years ago
Read 2 more answers
Solve the differential equation: dy/dx = 4y2x1/3
labwork [276]
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3 years ago
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