name: marheaze saunders\nmath 30 - 3 probability assignment (4.1 and 4.2)\n1. complete the following table…

name: marheaze saunders\nmath 30 - 3 probability assignment (4.1 and 4.2)\n1. complete the following table with the alternative ways to express a probability. 5\n| alternative ways to express a probability | fraction | decimal | percent | words |\n| ---- | ---- | ---- | ---- | ---- |\n| | $\frac{13}{900}$ | 0.0144 | 1.44% | |\n| | $\frac{17}{25}$ | 0.68 | 68% | |\n| | $\frac{1}{5}$ | 0.2 | 20% | |\n| | $\frac{4}{263}$ | 0.0152 | 1.52% | 4 out of 263 |\n| | $\frac{7}{20}$ | 0.35 | 35% | |\n2. express 16% as a reduced fraction. 1\n3. express the probability of 7 out of 56 as a percent. 1\n4. after testing 312 cell - phone batteries, 11 were found to be defective. what is the experimental probability of finding a defective battery, expressed as a fraction, a decimal, and a percent? 2

name: marheaze saunders\nmath 30 - 3 probability assignment (4.1 and 4.2)\n1. complete the following table with the alternative ways to express a probability. 5\n| alternative ways to express a probability | fraction | decimal | percent | words |\n| ---- | ---- | ---- | ---- | ---- |\n| | $\frac{13}{900}$ | 0.0144 | 1.44% | |\n| | $\frac{17}{25}$ | 0.68 | 68% | |\n| | $\frac{1}{5}$ | 0.2 | 20% | |\n| | $\frac{4}{263}$ | 0.0152 | 1.52% | 4 out of 263 |\n| | $\frac{7}{20}$ | 0.35 | 35% | |\n2. express 16% as a reduced fraction. 1\n3. express the probability of 7 out of 56 as a percent. 1\n4. after testing 312 cell - phone batteries, 11 were found to be defective. what is the experimental probability of finding a defective battery, expressed as a fraction, a decimal, and a percent? 2

Answer

Explanation:

Step1: Convert 16% to fraction

Percent means per - 100. So $16%=\frac{16}{100}$. Then simplify by dividing both numerator and denominator by 4, $\frac{16\div4}{100\div4}=\frac{4}{25}$.

Step2: Convert 7 out of 56 to percent

First, write the fraction $\frac{7}{56}$, simplify it to $\frac{1}{8}$. Then convert $\frac{1}{8}$ to decimal by $1\div8 = 0.125$. Multiply the decimal by 100 to get the percent: $0.125\times100 = 12.5%$.

Step3: Find experimental probability for defective batteries

Fraction: The experimental probability as a fraction is $\frac{11}{312}$. Decimal: Divide 11 by 312, $11\div312\approx0.035$. Percent: Multiply the decimal by 100, $0.035\times100 = 3.5%$.

Answer:

  1. $\frac{4}{25}$
  2. $12.5%$
  3. Fraction: $\frac{11}{312}$, Decimal: $0.035$, Percent: $3.5%$