The probability of getting heads is 3/8.
<u>Probability:</u>
Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty. that an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2 (also written as 0.5 or 50%).
Since 3 is a small number, let's list out all possible combinations.
H represents a head while T represents a tail.
3 Heads
HHH
2 Heads
HHT
HTH
THH
1 Head
HTT
THT
TTH
0 Head
TTT
The answer is
3/1+3+3+1=3/8
OR
In general, we will find that the list resembles a particular row of the pascal's triangle.
If you want to know the probability of getting r heads (or tails) from n flips, it is the sum of the rth elements in the n + 1 line. All elements of the series n+1.
![\left[\begin{array}{ccc}N\\\\R\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7DN%5C%5C%5C%5CR%5Cend%7Barray%7D%5Cright%5D)
/ 2ⁿ = 
n this case,
N =3andR= 2
3!/ 2!×1! × 2³
= 6/ 2× 1 × 8
= 3/8
Learn more about Probability:
brainly.com/question/11234923
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Problem: 2x^2+3x-9
For a polynomial of the form, ax^2+bx+c rewrite the middle term as the sum of two terms whose product a·c=2·-9=-18 and whose sum is b=3.
Factor 3 out of 3x
2x^2+3(x)-9
Rewrite 3 as -3 plus 6.
2x^2+(-3+6)x-9
Apply the distributive property
2x^2(-3x+6x)-9
Remove the parentheses
2x^2-3x+6x-9
Factor out the greatest common factor from each group
Group the first two terms and the last two terms
(2x^2-3x) (6x-9)
Factor out the greatest common factor in each group.
x(2x-3)+3(2x-3)
Factor the polynomial by factoring out the greatest common factor, 2x-3
(x+3) (2x-3). So, the quotient is 2x-3
Answer:
Step-by-step explanation:
The system of equations given are:
5x - y + z = -6 ------------- i
2x + 7y + 3z = 8 ---------- ii
x + 2z = 6 ----------------- iii
Let us deal with equation i and ii first since they have 3 variables x, y and z;
5x - y + z = -6 x 7
2x + 7y + 3z = 8 x 1
35x - 7y + 7z = -42 ---- iv
2x + 7y + 3z = 8 ---- v
Add equation iv and v;
37x + 10z = -34 ------vi
So, let us solve equation vi and iii:
x + 2z = 6 - ---------- iii x 10
37x + 10z = -34 --- iv x 2
10x + 20z = 60 vi
74x + 20z = -68 vii
Subtract vi - vii;
-64x = 128
x = -2
So; put x = -2 into iii;
x + 2z = 6
-2 + 2z = 6
2z = 6 + 2 = 8
z = 4
Put x = -2 and z = 4 into equation i;
5(-2) - y + 4 = - 6
-10 -y +4 = -6
-6 - y = -6
-y = 0
y = 0
Answer: -5
Step-by-step explanation:
A coefficient is a number that a variable is multiplied by.
<em>Hope it helps <3</em>
Let y be your total moneyx is the number of cup of food you can buym is the cost per cup of food to feed the animalb is the cost to enter the petting zoo
y = mx + bsubstitute the given values
12.50 = 2.50x + 7.50solve for x
12.50 - 7.50 = 2.50x5 = 2.50xx = 5 / 2.50x = 2 cups of food you can buy
