Answer:
The total number of apples is 17
Step-by-step explanation:
(a)
Number of green apples = 4
P ( that all three apples are green)
= (limit 4 and 3) / (limit 17 and 3)
= 4! / 3!(4−3)!
= 17! / 3!(17−3)!
= 1 / 170
= 0.005
(b)
Number of red apples = 8
P(that all three apple are green)
=(limit 8 and 3) / (limit 17 and 3)
= 8! / 3!(8−3)!
= 17! / 3!(17−3)!
= 7 / 85
= 0.082
Now,
P(that no three apple is red)= 1−0.082 = 0.918
c)
P(of selecting 4 apple that contain at least 2 red apples)
= (limit 8 and 2) /( limit 17 and 2) X (2/15) + (limit 8 and 3) /(limit 17 / 3) X (1/14)
= (7/34) × (2/15) + (7/85) × (1/14)
= 0.027 + 0.058
= 0.085
d)
P(that the second apple selected is yellow given that the first apple is red)
= (limit 5 and 1) / ( limit 16 and 1)
= 5! / 1!(5−1)!
= 16! / 1!(16−1)!
= 5 /16
= 0.3125
Answer:
9 years
Step-by-step explanation:
Let the present age = x
Age 6 years ago = x - 6
Thrice my age 6 years ago = 3*(x -6) =3x - 3*6 = 3x - 18
Twice my present age = 2 *x = 2x
Thrice my age 6 years ago be subtracted from
twice my present age = 2x - (3x - 18)
2x - (3x - 18) = x
2x - 3x + 18 = x
-x + 18 = x {Add x to both sides}
18 = x + x
18 = 2x {Divide both sides by 2}
18/2 = x
x = 9 years
1 - AB is the Hypotenuse, BC is the opposite, AC is the adjacent (next to)
AB is the Hypotenuse because it is across from the right angle. BC is the opposite because its on the opposite side of the angle. AC is next to (adjacent) of the angle.
2 - the ratio is 30/1 = 5/b
This is because S O/H C A/H T O/A or Sohcahtoa.
S is the sine, which is Opposite over Hypotenuse. C is the cosine, which is Adjacent over Hypotenuse, and T is tangent which is Opposite over Adjacent. So look at what we labeled, we need to find the adjacent side, or b, and we have the opposite side, 5. So what has opposite and adjacent? Tangent.
So we do tan(30)/1 = 5/b, and cross multiply.
Now the last question. Hypotenuse is always C. But the other two values don’t matter where you put them on the left side since its multiplication. So its 7.7^2 * 6^2 = c^2 which is 59.29 * 36 = C^2.
2134.44 = c^2. Square root sides so it is 46.2 = c. The answer is 46.2
