PLZ HELP ill GIVE BRAINIESt!!!!20 Points
2 answers:
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Answer:
e. 0.0072
Step-by-step explanation:
We are given that a bottling company uses a filling machine to fill plastic bottles with cola. And the contents vary according to a Normal distribution with Mean, μ = 298 ml and Standard deviation, σ = 3 ml .
Let Z = ~ N(0,1) where, Xbar = mean contents of six randomly
selected bottles
n = sample size i.e. 6
So, Probability that the mean contents of six randomly selected bottles is less than 295 ml is given by, P(Xbar < 295)
P(Xbar < 295) = P( <
) = P(Z < -2.45) = P(Z > 2.45)
Now, using z% score table we find that P(Z > 2.45) = 0.00715 ≈ 0.0072 .
Therefore, option e is correct .
Answer:
sin θ =
Step-by-step explanation:
Given that,
cos θ =
From the trigonometric functions,
cos θ =
⇒ adjacent = , and the hypotenuse = 3
Let the opposite side be represented by x, applying the Pythagoras theorem we have;
=
+
=
+
9 = 3 +
= 9 - 3
= 6
x =
Thus, opposite side =
So that,
sin θ =
=
Therefore,
sin θ =