If you were to use the substitution method to solve
2 answers:
Answer:
x = 1
Step-by-step explanation:
Given :
6x – y = 1
4x – 3y = –11
To Find : the new equation after the expression equivalent to y from the first equation is substituted into the second equation.
Solution :
6x – y = 1 ---a
4x – 3y = –11 ---b
In equation a
y = 6x-1
Now substitute this value of y in equation b
4x – 3(6x-1)= –11
Thus the new equation : 4x-18x+3 = -11
-14x =-14
x=1
Put value of x in equation a
6*1– y = 1
6-y=1
5=y
Thus the solution is (1,5)
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The solution is mathematically given as
- P(X=3)= 0.17
Generally, the equation for the Probability of P(X=3) is mathematically given as
b)
Therefore
P(X=3)= 0.17
c)
a)
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THIS IS THE COMPLETE QUESTION BELOW;
In Littletown, the probability that a baseball team goes to the city playoffs is 0.30. the probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0.20.
What is the probability that a randomly selected team from Littletown goes to the city and state playoffs?
A. 0.10
B.0.50
C. 0.66
D. 0.06
Answer:
OPTION D is correct
d)0.06
the probability that a randomly selected team from Littletown goes to the city and state playoffs is
Step-by-step explanation:
The probability that a baseball team goes to city playoffs is 0.30.
P(baseball team goes to city playoffs)=0.30
The probability that the team goes to state playoffs given that the team goes to the city playoffs is 0.20.
P(team goes to state playoffs given that the team goes to the city playoffs)=0.20
From our knowledge of set, we know that
P(A | B)= P(A ∩ C)/P(C)
where A= city playoffs
B= state playoffs
P(State play off | city play off)=0.20
P(State play off ∩ city play off)/P(city play off,)=0.20
P(State play off ∩ city play off)/0.30 =0.20
P(State play off ∩ city play off)= 0.30 × 0.20
= 0.06
Hence,the probability that a randomly selected team from Littletown goes to the city and state playoffs is 0.06