Please hurry and explain
2 answers:
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Answer:
Probability that the person doesn't use any facility = 0.0889
Step-by-step explanation:
Total number of people in a sports center = 135
Number of people using gym 'G' = 73
Number of people using swimming pool 'P' = 59
Number of people using track 'T' = 31
Number of people using gym and pool (G∩P) = 19
Number of people using pool and track (P∩T) = 9
Number of people using gym and track (G∩T) = 16
Number of people using all three facilities (G∩P∩T) = 4
Therefore, from the rule of compound probability,
P(GUPUT) = P(G) + P(P) + P(T) - P(G∩P) - P(G∩T) - P(P∩T) + p(G∩P∩T)
We know probability of an event =
We will plug in the values of probabilities of each event in the formula.
P(GUPUT) =
=
=
And probability that a person doesn't use any facility = 1 - P(GUPUT)
= 1 -
=
=
= ≈ 0.0889
Answer:
(2, - 6 )
Step-by-step explanation:
Given the 2 equations
x = y + 5 → (1)
2x + 3y = - 14 → (2)
Substitute x = y + 5 into (2)
2( y + 5 ) + 3y = - 14 ← distribute and simplify left side
y + 10 + 3y = - 14
4y + 10 = - 14 ( subtract 10 from both sides )
4y = - 24 ( divide both sides by 4 )
y = - 6
Substitute y = - 6 into (1) for corresponding value of x
x = (0.5 × - 6 ) + 5 = - 3 + 5 = 2
Solution is (2, - 6 )