Kacey had 48 tickets for games at the school carnival. She used 1/3 of her tickets to play the spin-the-wheel game. She used half of the remaining tickets to play balloon game, where do you want eight more tickets. How many tickets did Casey have after paying these two games?

3x + 18 = 147°

step-by-step explanation:

3x + 18 = 147°, because the value of the central angle is equal to the value of the arc formed by it.

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4 candies

step-by-step explanation:

7 x 28 = 196

200 - 196 = 4 candies remaining.

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b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation: