Matt spins the spinner above 400 times and it lands on six 43 times. How many times out of the 400 spins would you predict spinner to land on six.

50 times

Step-by-step explanation:

Given that:

Number of spins = 400

Sample space = (1, 2, 3, 4, 5, 6, 7, 8)

Probabililtybof landing on 6 on a single spin :

Probability = required outcome / Total possible outcomes

P(landing on a six) = 1/ 8

Probability of landing on a 6 in 400 spins :

1/8 * 400 = 50 times

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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