By definition of conditional probability,
But any event and its complement cannot occur simultaneously; they are disjoint, so the probability of their intersection is 0. So the conditional probability is also 0.
Answer:
x ≥ 2.
Step-by-step explanation:
10 - 8x ≤ -6
Subtract 10 from both sides:
-8x ≤ -16
-8x ≤ -16/-8
x ≥ 2 (Note when dividing by a negative the sign is flipped).
Answer:
130 degrees
Step-by-step explanation:
Since the lines that the transversal crosses through are parallel, there are certain rules that apply to the situation. One such rule is that corresponding angles are congruent. Congruent means equal. Corresponding angles are angles that are in the same position but on different vertexes. Angle <ONQ is the bottom left for the N vertex. Angle <RQS is also on the bottom left but for the Q vertex. Since they are congruent and <ONQ is 130, <RQS must also be 130.
Answer:
9.76 years turns 900 dollars into 1200 dollars.
Step-by-step explanation:
A(t) = 900*(1.03)^t
1200 = 900 * (1.03)^t Divide by 900
1200/900 = (1.03)^t
1.333 = 1.03^t Take the log of both sides.
- log(1.3333) = t * log(1.03)
- log 1.3333 = .1249
- log 1.03 = .0128
1.249 = 0.0128*t
1.249/0.0128 t = 9.76 years.
Vertex = (1/2,5/2) x= 1 + or - square root of 5-2y all over 2
