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nadezda [96]
4 years ago
7

seven people are seated in a row. They all got up and sit down again in random order. What is the probability that the two origi

nally seated at the two end are no longer at the ends
Mathematics
1 answer:
inna [77]4 years ago
4 0

Answer:

P(A&B) = 0.4

Explanation:

Because it is a random process and there are no special constraints the probability for everybody is the same, the probability of choosing a particular site is 1/7, the person originally seated in chair number seven has 5/7 chance of not seating in chair number six and seven, the same goes for the person originally seated in chair number six; Because we want the probability of the two events happening, we want the probability of the intersection of the two events, and because the selection of a chair change the probability for the others (Dependents events) the probability P(A&B) = P(A) * P(B/A) where P(A) is 5/7 and the probability of choosing the right chair after the event A is 4/7, therefore, P(A&B) = 4/7*5/7 = 0.4.

If the events were independent the probability would be 0.51.

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Two consecutive whole number that lies between the square root of 38
Semenov [28]
√38

Let's name all the squares.
1² = 1 x 1 = 1
2² = 2 x 2 = 4
3² = 3 x 3 = 9
4² = 4 x 4 = 16
5² = 5 x 5 = 25
6² = 6 x 6 = 36
7² = 7 x 7 = 49
8² = 8 x 8 = 64

Okay that's far enough. Now we look for which numbers 38 is in between.
That would be 36 and 49.
But it's asking for where the square root of 38 is, so √36 and √49 ⇒ 6 and 7.
3 0
4 years ago
<img src="https://tex.z-dn.net/?f=%20-%2010%20%5Ctimes%2018%20%7Br%7D%5E%7B%20-%208%7D%20%20%3D%20%20-%202" id="TexFormula1" tit
grigory [225]

Answer:

1.107   =  r

Step-by-step explanation:

To solve this for r, do the following:

Add 10 to both sides, to isolate the r term on the left:  18r^(-8) = 8

Divide both sides by 18, to isolate r^(-8):   r^(-8) = 8/18

Invert both sides:  r^8 = 9/4

Take the natural log or both sides:

8 ln r = ln 9 - ln 4, or

8 ln r = 0.8109, so that ln r = 0.1014

to find r, raise e to the power ln r on the left and e to the power 0.1014 on the right:

  ln r           0.1014

e         =    e              =  1.107   =  r

3 0
4 years ago
There are 32 homes on Willis Street 1/4 of the homes Street have gas heat. How many homes on Willis Street have gas heat?
ycow [4]
8 houses have gas heat.
Hope this helps!
5 0
3 years ago
Read 2 more answers
Le help needed with like terms and distributive property
Roman55 [17]
1. 7a+8b+3
2.10a+7rs
7 0
4 years ago
Which of the following is a linear function?
disa [49]

Answer:

  • x = y − 4
  • y = 1/5x

Step-by-step explanation:

As written, they all are linear functions.

If we assume that x3 is supposed to be interpreted as x³ = x^3, and that x2 is supposed to be x² = x^2, then the equations containing those terms are not linear equations.

The equation y = 1/5x is usually interpreted to mean y = (1/5)x. If it is intended to be y = 1/(5x), then it is not a linear function either.

___

A linear function is a sum of terms that are either constant or containing a single variable to the first power.

3 0
4 years ago
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