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Nezavi [6.7K]
1 year ago
14

10 people always get on a bus in the same order and sit on the same places. what is the probability that, if the 1st person has

randomly changed his/her seat, the 10th will be able to sit on his/her original seat?
Mathematics
1 answer:
kap26 [50]1 year ago
8 0

The probability that the 10th will be able to sit on his/her original seat when the 1st person has randomly changed his/her seat is 7/9

 

Probability :

In Mathematics, Probability stands for the ratio of the number of favorable outcomes to the total number of outcomes in a random experiment. It is used to predict how likely an event can happen.

Probability of an event,

P(E) = No of favorable outcomes / total number of outcomes

Here we have,

10 people always get on a bus in the same order and sit in the same places.

The 1st person has randomly changed his/her seat

Except for 1 remaining number of seats is 9

If 1st person changes his/her place with the remaining 9 seats the number of ways that 1st person can be seated is 9  

In 9 ways 10th will be able to sit on his/her original seat when the 1st person is seated in 2 to 9 seats i.e 7 seats      

Therefore,

The number of favorable outcomes that the 10th person will be able to seat in his/her original seat = 7  

From the above observations,

The probability that the 10th will be able to sit on his/her original seat

= 7 / 9  

Learn more about Probability at

brainly.com/question/13659160

#SPJ4

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How to find the area of each face of a prism
tatiyna

If the face is a square, then (l*l)

If the face is a triangle, then (b*h)(1/2)

If the face is a rectangle, then (l*w)

If the face is a circle, then (r²)(3.14)

You can then add all these faces up to get the total surface area of the prism.

3 0
3 years ago
PLEASE HURRY FIRST ANSWER WILL BE BRAINLIEST can someone translate these word problems to an actual equation?
Reika [66]

Answer:

1). 9 red 6 fancy 2). 50 shirts 20 pants 3). 62 purple 31 red 4). 19 dimes 9 quarters

Step-by-step explanation:

Most are systems of equations. So, they will have more than one equation.

1). x (Red wrapping paper) y (fancy print paper)

x + y = 15

2x + 4y = 42

Solved: x = 9 y = 6

2). x (shirts) y (pants)

x + y = 70

12x + 30y = 1200

Solved: x = 50 y = 20

3). x (purple) y (red)

I ended up dividing 93 by 3 and then multiplying it by 2 for purple and keeping the other third for red. Not quite sure how to fit this into an equation, its just simple math.

Solved: x = 62 y = 31

4). x (dimes) y (quarters)

.10x + .25y = 4.15

x = y - 10

Solved: x = 19 y = 9

3 0
3 years ago
Help please thank you ASAP
-Dominant- [34]
Do not go to that link it is a virus
8 0
2 years ago
My brain is lagging:<​
Lubov Fominskaja [6]

Distance between two points (-3, 4) and (5, -2) is 10 units.

Mid-point of the line segment joining (-1, -5) and (7, 1) is  (3, -2).

Degree of the given polynomial is 7.

6) Distance between two points (x_1, y_1) and (x_2, y_2) is:

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

So, distance between two points (-3, 4) and (5, -2) is:

=\sqrt{(5-(-3))^2+(-2-4)^2}

=\sqrt{(8)^2+(-6)^2}

=\sqrt{64+36}

=\sqrt{100}

=10

So, option D is correct.

7) Mid-point of the line segment joining (x_1, y_1) and (x_2, y_2) is:

(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Mid-point of the line segment joining (-1, -5) and (7, 1) is:

(\frac{-1+7}{2}, \frac{-5+1}{2})

= (\frac{6}{2}, \frac{-4}{2})

= (3, -2)

So, option A is correct.

8) Degree of a polynomial is the highest power of the variable in the polynomial.

f(x)=3x^2-7x^4+9x^7+2x^3

Here, the highest power of the variable is 7.

So, option B is correct.

Learn more about distance formula, mid point formula, and degree of polynomial.

brainly.com/question/16319826?referrer=searchResults

brainly.com/question/24147029?referrer=searchResults

brainly.com/question/2284746?referrer=searchResults

8 0
2 years ago
What is the domain and range of a(w)=1.10w+0
german
The expression represents a straight line equation of the form y=mx+c. where m is the slope and c is the y-intercept. From the given expression,
m=1.10 and c=0
therefore since a(w)=1.10w+0 is a straight line equation, the domain of the equation will be:
(-∞,∞)
and the range will be:
(-∞,∞)
This is because the domain and range of the straight line is always (-∞,∞). 
6 0
3 years ago
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