y = mx + b
5 = 12(-3) + b
5 = -36 + b
b = 41
y = -3x + 41
Answer:
-8.95
Step-by-step explanation:
1.3 - 6 - 4.25
-4.7 - 4.25
-8.95
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Answer:
87 scorpions do not live in Arizona
Step-by-step explanation:
Mean:
E[Y] = E[3X₁ + X₂]
E[Y] = 3 E[X₁] + E[X₂]
E[Y] = 3µ + µ
E[Y] = 4µ
Variance:
Var[Y] = Var[3X₁ + X₂]
Var[Y] = 3² Var[X₁] + 2 Covar[X₁, X₂] + 1² Var[X₂]
(the covariance is 0 since X₁ and X₂ are independent)
Var[Y] = 9 Var[X₁] + Var[X₂]
Var[Y] = 9σ² + σ²
Var[Y] = 10σ²