Answer:
x=2
Step-by-step explanation:
Hope it helps you!
Answer: 0.01
Step-by-step explanation:
Let the events are :
C = paving stones found to be cracked.
D = paving stones found to be discolored.
Given : Total stones : T = 600 (i)
C = 15
D= 27
C'∩D'= 564 (ii)
Since C'∩D' = (C∪D)' = T- C∪D (iii)
From (i) , (ii)and (ii) , we have
564 = 600- C∪D
⇒ C∪D=600- 564= 36
Formula : C∩D= C+D- C∪D
Put values , we get
C∩D= 15+27-36=6
Now ,

The probability that it is both cracked and distorted is 0.01.
Answer:
(6, - 4)
Step-by-step explanation:
A translation of 4 units right is equivalent to adding 4 to the x- coordinate
A translation of 3 units up is equivalent to adding 3 to the y- coordinate
(x, y) → (x + 4, y + 3) ← translation rule
Hence
(2, - 7) → (2 + 4, - 7 + 3) → (6, - 4)
Answer:01 50 Hrs
Step-by-step explanation:
If the soldier started patrol at 2230 hrs and his petrol lasted for 3 hours and 20 minutes, that means he was on patrol for that time.
The time he finished was therefore:
= 2230 + 320
= 2550
At 24 you begin at 0:00am so:
= 2550 - 2400
= 150
Patrol ended at 0150 hrs
Answer:
sinΘ = 
Step-by-step explanation:
using the identity
sin²x + cos²x = 1 ( subtract cos²x from both sides )
sin²x = 1 - cos²x ( take square root of both sides )
sinx = ± 
given
cosΘ = -
, then
sinΘ = ± 
= ± 
= ± 
= ± 
since Θ is in quadrant II where sinΘ > 0 , then
sinΘ = 