Eight balls numbered from 1 to 8 are placed into a bag. some are grey and some are white, as shown on the right.

It is given that,  

there are 8 balls in the bag numbered 1 to 8

5 balls are  color is gray and all others are white

The gray color balls are 2,3,4,5 and 7

The white color balls are 1,6 and 8

P(X) = probability of getting white ball

P(not X) = Probability of getting gray ball

a) To find Probabilities P(X) and P(not X)

For event X, 1,,6,8 are checked and P(X) = 3/8

for event 'not X' 2,3,4,5 and 7 are checked and P(not X ) = 5/8

b) To find 1 - P(X)

1 - P(X) = 1 - 3/8 = (8 - 5)/8 = 5/8  

c)1 - P(X) is same as P(not X)

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation: