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Vadim26 [7]
3 years ago
7

What is P(tails ) P(tails)start text, P, left parenthesis, t, a, i, l, s, end text, right parenthesis? If necessary, round your

answer to 2 22 decimal places.
Mathematics
1 answer:
blagie [28]3 years ago
4 0

Question is not clear enough

I'll assume the question is this:

A fair coin has 2 sides (heads and tails) that are equally likely to show when the coin is flipped. What is P(tails)?

Answer:

P(tails) = 0.5

Step-by-step explanation:

Given:

Number of sides = 2

Number of head = 1

Number of tails = 1

Let P(Tail) = Probability of obtaining a tail when the coin is flipped.

P(Tails) is calculated as follows;

P(Tails) = Number of Tails/Total Number of Sides

Substitute in the values of Number of Tails and Total Number of Sides

P(Tails) = 1/2

P(Tails) = ½

P(Tails) = 0.5

Hence, the probability of obtaining a tail provided that the two sides of the coin are equally likely to show when the coin is flipped is 0.5

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A group of 15 people are going to run a race. The top 8 will advance to the finals. Determine if the situation is a permutation
LUCKY_DIMON [66]

For the given situation we have a total of 259,459,200 permutations.

<h3>How many permutations are?</h3>

First, how we know that it is a permutation?

Because the order matters, we aren't only selecting 8 out of the 15 people, but these 8 selected also have an order (is not the same thing to finish the race first than fourth, for example).

Then we need to find the number of permutations, to do it, we need to find the numbers of options for each of the 8 positions.

  • For the first position there are 15 options.
  • For the second position ther are 14 options (one runner already finished).
  • For the third position there are 13 options.
  • And so on.

Then the total number of permutations (product between the numbers of options) is:

P = 15*14*13*12*11*10*9*8 = 259,459,200

If you want to learn more about permutations:

brainly.com/question/11732255

#SPJ1

8 0
2 years ago
The sum of two numbers is 47 and the difference is 25 . what are the numbers?
taurus [48]
The numbers are:  36 and 11 .
______________________________________________
Explanation:
______________________________________________
Let us represent the TWO (2) numbers with the variables;
         "x" and "y" .
__________________________________________
     x + y = 47 .

     y − x = 25.
__________________________________________
Since:  " y − x = 25 " ;

Solve for "y" in terms of "x" ;

  y − x = 25  ;

Add "x" to each side of the equation:
_____________________________________________
   y − x + x  = 25 + x  ;

to get:

   y = 25 + x .

Now, since:

  x + y = 47 ;

Plug in "(25 + x)" as a substitution for "y"; to solve for "x" :

x + (25 + x) = 47  ;

x + 25 + x + 47 ;

2x + 25 = 47 ;

Subtract "25" from each side of the equation:

2x + 25 − 25 = 47 − 25 ;

2x  = 22  ;

Divide EACH SIDE of the equation by "2" ;
 to isolate "x" on one side of the equation; and to solve for "x" ; 
 
2x / 2 = 22 / 2 ;

    x = 11 ;
______________________________________________
x + y = 47<span> ;

</span>Plug in "11" for "x" into the equation ; to solve for "y" ;

11 + y = 47 ;

Subtract "11" from EACH SIDE of the equation;
  to isolate "y" on one side of the equation; and to solve for "y" ;

 11 + y − 11 =  47 − 11  ;

            y = 36 .
___________________________________________
So:  x = 11 , y = 36 ;
___________________________________________
 Let us check our work:

y − x = 25 ;

36 − 11 =? 25 ?  Yes!

x + y = 47 ;

36 + 11 =? 47 ? Yes!
______________________________________________
The numbers are:  36 and 11 .
______________________________________________
5 0
3 years ago
Which vehicle should I buy to get the best gas mileage (the most miles for each gallon of gas)?
Ronch [10]

Answer:

vehicle c

Step-by-step explanation:

vehicle d is at 180 with 6 gallons and vehicle c is at 120 with 2 gallons. kinda common sense

5 0
3 years ago
The graph below shows the solution to which system of inequalities?
Archy [21]

Answer:

C

Step-by-step explanation:

The horizontal line, y=2, is solid and shaded above, so it represents

y \geqslant 2

The slanted line, y=x is dashed and shaded below, so it represents y<x.

3 0
2 years ago
If a system of equations has no solution, what does the graph look like?
Valentin [98]

Answer:

Step-by-step explanation:

parallel lines

5 0
2 years ago
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