name: machenzie saunders
math 30 - 3 probability assignment (4.1 and 4.2)
1. complete the following table with the alternative ways to express a probability. 5
| alternative ways to express a probability | fraction | decimal | percent | words |
| ---- | ---- | ---- | ---- | ---- |
| $\frac{13}{900}$ | | | | |
| | 0.68 | | | |
| | | 20% | | |
| $\frac{4}{263}$ | | | | 4 out of 263 |
| | 0.35 | | | |
2. express 16% as a reduced fraction. 1
3. express the probability of 7 out of 56 as a percent. 1
4. 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

Question

name: machenzie saunders
math 30 - 3 probability assignment (4.1 and 4.2)
1. complete the following table with the alternative ways to express a probability. 5
| alternative ways to express a probability | fraction | decimal | percent | words |
| ---- | ---- | ---- | ---- | ---- |
| $\frac{13}{900}$ |  |  |  |  |
|  | 0.68 |  |  |  |
|  |  | 20% |  |  |
| $\frac{4}{263}$ |  |  |  | 4 out of 263 |
|  | 0.35 |  |  |  |
2. express 16% as a reduced fraction. 1
3. express the probability of 7 out of 56 as a percent. 1
4. 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

Accepted 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: $0.0144	imes100 = 1.44\%$. Words: 13 out of 900.
## Step2: Convert 0.68 to fraction and percent
Fraction: $0.68=\frac{68}{100}=\frac{17}{25}$. Percent: $0.68	imes 100 = 68\%$. 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: $0.0152	imes100 = 1.52\%$.
## Step5: Convert 0.35 to fraction and percent
Fraction: $0.35=\frac{35}{100}=\frac{7}{20}$. Percent: $0.35	imes100 = 35\%$. 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: $0.125	imes100 = 12.5\%$.
## Step8: Find experimental probability for defective batteries
Fraction: $\frac{11}{312}$. Decimal: $11\div312\approx0.0353$. Percent: $0.0353	imes100 = 3.53\%$.

# 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) | - | - | - |

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QUESTION IMAGE

Question

Explanation:

Step1: Convert fraction to decimal and percent for $\frac{13}{900}$

Step2: Convert 0.68 to fraction and percent

Step3: Convert 20% to fraction and decimal

Step4: Convert $\frac{4}{263}$ to decimal and percent

Step5: Convert 0.35 to fraction and percent

Step6: Express 16% as a reduced fraction

Step7: Express 7 out of 56 as a percent

Step8: Find experimental probability for defective batteries

Answer:

Fraction	Decimal	Percent	Words
$\frac{17}{25}$	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)	-	-	-