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A skin-care company had 1,500 people try a new acne cream. Nine people had a mild allergic reaction. The formula is then improved and those 1,500 people try the new cream. Only 4 of them had a mild allergic reaction. What is the percent decrease in number of allergic reactions?

Respuesta :

Answer:

The decrease in number of allergic reactions is of 0.3333%.

Step-by-step explanation:

Initial percentage:

Nine out of 1500, so the percentage is:

[tex]\frac{9*100}{1500} = \frac{900}{1500} = 0.6[/tex]

Initially: 0.6% of allergic reactions.

Final percentage:

Four out of 1500, so the percentage is:

[tex]\frac{4*100}{1500} = \frac{400}{1500} = 0.2667[/tex]

WIth the improved formula: 0.2667% of allergic reactions.

What is the percent decrease in number of allergic reactions?

0.6% - 0.2667% = 0.3333%

The decrease in number of allergic reactions is of 0.3333%.

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