Answer:
32
Step by step explination:
Simplify
Answer:
a) 1/2
b) 1/n
c) 1/4
Step-by-step explanation:
a) For each permutation, either 1 precedes 2 or 2 precedes 1. For each permutation in which 1 precedes 2, we can swap 1 and 2 to obtain a permutation in which 2 preceds 1. Thus, half of the total permutations will involve in 1 preceding 2, hence, the probability for a permutation having 1 before 2 is 1/2.
c) If 2 is at the start of the permutation, then it is impossible for 1 to be before 2. If that is not the case, then 1 has a probability of 1/n-1 to be exactly in the position before 2. We can divide in 2 cases using the theorem of total probability,
P( 1 immediately preceds 2) = P (1 immediately precedes 2 | 2 is at position 1) * P(2 is at position 1) + P(1 immediately precedes 2 | 2 is not at position 1) * P(2 is not at position 1) = 0 * 1/n + (1/n-1)*(n-1/n) = 1/n.
d) We can divide the total of permutations in 4 different groups with equal cardinality:
- Those in which n precedes 1 and n-1 precedes 2
- those in which n precedes 1 and 2 precedes n-1
- those in which 1 precedes n and n-1 precedes 2
- those in which 1 precedes n and 2 precedes n-1
All this groups have equal cardinality because we can obtain any element from one group from another by making a permutations between 1 and n and/or 2 and n-1.
This means that the total amount of favourable cases (elements of the first group) are a quarter of the total, hence, the probability of the event is 1/4.
Answer:
A equação da reta é dada por: 
Step-by-step explanation:
Equação de uma reta:
A equação de uma reta tem o seguinte formato:
Em que a é o coeficiente angular e b é o coeficiente linear.
Coeficiente angular:
Com posse de dois pontos, o coeficiente angular é dado pela mudança em y dividida pela mudança em x.
A(-1, -2) e B(5,2)
Mudança em y: 2 - (-2) = 2 + 2 = 4
Mudança em x: 5 - (-1) = 5 + 1 = 6
Coeficiente angular: 
Então:
Coeficiente linear:
Substituindo um ponto na equação, encontra-se o coeficiente linear.
B(5,2)
Quando 
. Então:
Então:
Answer:
9.219544457292887
Step-by-step explanation:
Use distance formula
√(−5−2)^2+(−3−3)^2
√(−7)^2+(−6)^2
√49+36
√85
√≈9.219544457292887
Hoped this helped!
: )
I'm going to assume you just mean how do you write the ratio, in which case the answers vary
18:6
18 to 6
or
18/6
