Respuesta :
Answer:
109.26: decimal
5469/50: reduced fraction
140 is 120% of what number? 116.67
What percent of the production is defective? 0.6%
Step-by-step explanation:
For the first one, we know that 1214 is 100%, so we apply the rule of three to find 9% of the sample:
[tex]1214 \rightarrow 100\%\\x\rightarrow 9\%\\\\x=\frac{9*1214}{100}\\\\x=109.26[/tex]
Now, to find the reduced fraction we operate with the decimal and then we reduce the resulting fraction:
[tex]109.26*\frac{100}{100} =\frac{10926}{100}\\\\\frac{10926}{100} =\frac{5469}{50}[/tex]
For the second exercise we proceed, again, with the rule of three:
[tex]140 \rightarrow 120\%\\x\rightarrow 100\%\\\\x=\frac{100*140}{120}\\\\x=116.67[/tex]
For the third question, we will apply the rule of three again:
[tex]7800 \rightarrow 100\%\\46.8\rightarrow x\\\\x=\frac{46.8*100}{7800}\\\\x=0.6\%[/tex]
