Step-by-step explanation:
1. P(light OR domestic) = P(light) + P(domestic) − P(light AND domestic)
P(light OR domestic) = 0.62 + 0.70 − 0.55
P(light OR domestic) = 0.77
2. P(light AND not domestic) = P(light) − P(light AND domestic)
P(light AND not domestic) = 0.62 − 0.55
P(light AND not domestic) = 0.07
3. P(light GIVEN not domestic) = P(light AND not domestic) / P(not domestic)
P(light GIVEN not domestic) = 0.07 / (1 − 0.70)
P(light GIVEN not domestic) = 0.233
4. Two events are independent if P(A) × P(B) = P(A and B).
P(light) × P(domestic) = 0.62 × 0.70 = 0.434
P(light AND domestic) = 0.55
Therefore, the type and location are not independent.
Answer:
Step-by-step explanation:
Do you mean 27 units² ?
A cube has six congruent, square faces. Area of one face = (27/6) units²
Length of one edge = √(27/6)
= √(9/2)
= √9/√2
= 3/√2
= 3√2/2 units
If you graph it, it looks linear.
Answer: D
Step-by-step explanation:
A) 3*0^2+2(0-5)>8
-10>8 -> not true
B) 3*(-1)^2+2(-1-5)>8
3*1+2*(-6)>8
3- 12>8
-9> 8 -> not true
C) 3*(-2)^2+2(-2-5)>8
3*4+2*(-7)>8
12-14>8
-2> 8 -> not true
D) ) 3*(-3)^2+2(-3-5)>8
3*9+2*(-8)>8
27-16>8
11> 8 -> true
