Mean: [45+65+30+50+20+30]/6 = 40.2
Median
First order the number {20, 30, 30,45, 50, 50}
The median is the average of the two values in the middle of the list: (30+45)/2 = 37.5
Mode: 30 and 50 (they are repeated the same number of times)
Answer: MW = CD
Explanation: It would be this way because if you wrote the triangles out, MW would be in the same place as CD, making them corresponding.
Answer:
y = 3
Step-by-step explanation:
39 = 13y
y = 3 (explanation: by dividing 13)
Check answer:
39 = 13(3)
39 = 39
<span>X^3+6x^2-17x+2-x^3-x^2-11x+36 = </span>5x^2 - 28x + 38
We have:
Event A ⇒ P(A) = 0.16
Event B ⇒ P(B) = 0.09
Probability of event B given event A happening, P(B|A) = P(A∩B) / P(A) = 0.12
By the conditional probability, the probability of event A and event B happens together is given by:
P(B|A) = P(A∩B) ÷ P(A)
P(B|A) = P(A∩B) ÷ 0.16
0.12 = P(A∩B) ÷ 0.16
P(A∩B) = 0.12 × 0.16
P(A∩B) = 0.0192
When two events are independent, P(A) × P(B) = P(A∩B) so if P(A∩B) = 0.0192, then P(B) will be 0.0192 ÷ 0.16 = 0.12 (which take us back to P(B|A))
Since P(B|A) does not equal to P(B), event A and event B are not independent.
Answer: <span>Events A and B are not independent because P(B|A) ≠ P(B)</span>
