It should take 5.22 minutes to clean a shower. You have 5 showers that need to be cleaned. How many minutes should it take for y
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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
My triangle solver says EF ≈ 7.5 ft.
_____
The law of cosines is usually used for this.
EF^2 = DE^2 +DF^2 -2*DE*DF*cos(D)
.. = 6^2 +11^2 -2*6*11*cos(40°)
.. ≈ 55.88
EF ≈ √55.88 ≈ 7.5 . . . ft
_____
The law of cosines is usually used for this.
EF^2 = DE^2 +DF^2 -2*DE*DF*cos(D)
.. = 6^2 +11^2 -2*6*11*cos(40°)
.. ≈ 55.88
EF ≈ √55.88 ≈ 7.5 . . . ft