name: machenzie saunders\nmath 30 - 3 probability assignment (4.1 and 4.2)\n1. complete the following table…
name: machenzie 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| $\frac{13}{900}$ | | | | |\n| | 0.68 | | | |\n| | | 20% | | |\n| $\frac{4}{263}$ | | | | 4 out of 263 |\n| | 0.35 | | | |\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 fraction to decimal and percent for $\frac{13}{900}$
Divide 13 by 900: $13\div900\approx0.0144$. Multiply by 100 for percent: $0.0144\times100 = 1.44%$. Words: 13 out of 900.
Step2: Convert 0.68 to fraction and percent
Fraction: $0.68=\frac{68}{100}=\frac{17}{25}$. Percent: $0.68\times 100 = 68%$. Words: 17 out of 25.
Step3: Convert 20% to fraction and decimal
Fraction: $20%=\frac{20}{100}=\frac{1}{5}$. Decimal: $20\div100 = 0.2$. Words: 1 out of 5.
Step4: Convert $\frac{4}{263}$ to decimal and percent
Divide 4 by 263: $4\div263\approx0.0152$. Multiply by 100 for percent: $0.0152\times100 = 1.52%$.
Step5: Convert 0.35 to fraction and percent
Fraction: $0.35=\frac{35}{100}=\frac{7}{20}$. Percent: $0.35\times100 = 35%$. Words: 7 out of 20.
Step6: Express 16% as a reduced fraction
$16%=\frac{16}{100}=\frac{4}{25}$.
Step7: Express 7 out of 56 as a percent
Fraction is $\frac{7}{56}=\frac{1}{8}$. Decimal: $1\div8 = 0.125$. Percent: $0.125\times100 = 12.5%$.
Step8: Find experimental probability for defective batteries
Fraction: $\frac{11}{312}$. Decimal: $11\div312\approx0.0353$. Percent: $0.0353\times100 = 3.53%$.
Answer:
| Fraction | Decimal | Percent | Words |
|---|---|---|---|
| $\frac{13}{900}$ | 0.0144 | 1.44% | 13 out of 900 |
| $\frac{17}{25}$ | 0.68 | 68% | 17 out of 25 |
| $\frac{1}{5}$ | 0.2 | 20% | 1 out of 5 |
| $\frac{4}{263}$ | 0.0152 | 1.52% | 4 out of 263 |
| $\frac{7}{20}$ | 0.35 | 35% | 7 out of 20 |
| $\frac{4}{25}$ (for 16%) | - | - | - |
| - (for 7 out of 56) | - | 12.5% | - |
| $\frac{11}{312}$, 0.0353, 3.53% (for defective batteries) | - | - | - |