it says a inspector found flaws in 13 out of 150 sweaters. find the probability that a sweater has a flaw. round to the nearest tenth of a percent
13/150
To find the probability that a sweater has a flaw, we need to divide the number of flawed sweaters by the total number of sweaters.
Given that an inspector found flaws in 13 out of 150 sweaters, the number of flawed sweaters is 13, and the total number of sweaters is 150.
Probability is calculated by dividing the number of favorable outcomes (flawed sweaters) by the total number of possible outcomes (all sweaters). Therefore, the probability is:
Probability = Number of flawed sweaters / Total number of sweaters
So, the probability that a sweater has a flaw is:
13 / 150 ≈ 0.0867
To round to the nearest tenth of a percent, multiply the probability by 100 and round to the nearest tenth:
0.0867 * 100 = 8.67 (rounded to the nearest tenth)
Therefore, the probability that a sweater has a flaw is approximately 8.7%.