Abag contains 3 red 5 yellow and 7 purple marbles find the probability of drawing a purple marble followed by a red marble the first marble is put back in the bag between draws

Required probability = 7/75.

Step-by-step explanation:

Probability(purple marble) = 7/15   (as there are 7 marbles out of a total of 15.)

Probability( red marble)  = 3/15 = 1/5.

So the probability of a purple being drawn followed by a red marble

= 7/15 * 1/5

= 7 /75   (answer).

Note: the 2 probabilities are multiplied because the 2 draws are independent of each other.

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

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