Answer: Mary has 16 video games.
Step-by-step explanation:
x+(x+2) =30
2x + 2 =30
-2 -2
2x =28
x= 14
(14+ 2) = 16
Answer:
(C)Yes, because P(M) ∙ P(N) = P(M ∩ N)
Step-by-step explanation:
Two events A and B are independent if P(A)P(B)=P(A ∩ B)
Given events A and B such that:
P(A) = 0.3, P(B) = 0.25, P(A ∪ B) = 0.425, and P(A ∩ B) = 0.075
- P(A)P(B)=0.3 X 0.25 =0.075
- P(A ∩ B) = 0.075
Since the two expression above gives the same answer, they are independent.
<u>The correct option is C.</u>
Answer:
yuojsjsjskakavbhjsmsnnxjxj
Answer:
x = 4 is the solution
Step-by-step explanation:
given = x ( square both sides )
x + 12 = x² ( rearrange into standard form )
x² - x - 12 = 0 ← in standard form
(x - 4 )(x + 3 ) = 0 ← in factored form
equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 3 = 0 ⇒ x = - 3
Insert these values into the original equation, and if both sides are equal, and those are the solutions.
x = 4 : = = 4 = x ← correct
x = - 3 : = = 3 ≠ - 3 ← false
the answer is x = 4
Answer:
90°
Step-by-step explanation:
Through point O draw a ray on left side of O which is || to AB & CD and take any point P on it.
Therefore,
∠ABO + ∠BOP = 180° (by interior angle Postulate)
118° + ∠BOP = 180°
∠BOP = 180° - 118°
∠BOP = 62°.... (1)
Since, ∠BOP + ∠POD = ∠BOD
Therefore, 62° + ∠POD = 152°
∠POD = 152° - 62°
∠POD = 90°.....(2)
∠POD + ∠ODC = 180° (by interior angle Postulate)
90° + ∠ODC = 180°
∠ODC = 180° - 90°
