Answer:
<em>(8.21, -20.79)</em>
Step-by-step explanation:
Given the simultaneous equation;
From 2;
a = 29 + b ....3
Substitute 3 into 1;
Factorize
b = -18±√18²-4(-58)/2
b = -18±√324+232/2
b = -18±√556/2
b = -18±23.58/2
b = -18-23.58/2 and -18+23.58/2
b = -41.58/2 and 5.58/2
b = -20.79 and 2.79
Since a = 29 + b
when b = -20.79
a = 29 - 20.79
a = 8.21
<em>Hence the solution to the system of equation is (8.21, -20.79)</em>
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 .