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The phrase "a slight decrease in the rate" is correct and usable in written English.
It can be used when discussing changes in statistics, measurements, or trends, particularly in contexts like economics, health, or research.
Example: "The latest report indicates a slight decrease in the rate of unemployment over the past quarter."
Alternatives: "a minor reduction in the rate" or "a small drop in the rate."
Exact(7)
Because it meant a slight decrease in the rate of increase of Social Security payments, and the grey-haired voting cohorts could not be offended.
Under the present conditions where high porosity beds were used, a slight decrease in the rate of mass transfer was observed in the case of vertical cylinders whereas no rate decrease was observed in the case of horizontal cylinders in the bed.
3. Washington, D.C. ID theft complaints per 100,000 residents: 142.8 The nation's capital actually saw a slight decrease in the rate of ID theft complaints -- from 147.9 to 142.8 per 100,000 residents -- from 2013 to 2014.
The first phase of ethanol production recorded a titre of 16 g·L−1 at 18 h of fermentation followed by a slight decrease in the rate of ethanol synthesis till 36 h.
This indicates that, in feed-restricted SNEB animals, there was only a slight decrease in the rate of gluoneogenesis and that demands for carbon for this process were mostly being met by oxidation of NEFAs transported from adipose.
At the highest concentration of TFAAA-USP18, a slight decrease in the rate was observed after 25 minutes that is most likely due to a limitation of substrate and not caused by a decrease in enzyme activity.
Similar(53)
This would lead to a slight decrease in the rates of depressive episodes but a significant decrease in manic episodes.
Thereafter the rate of natural increase slowed, however, because of a sharp drop in the birth rate accompanied by a slight decrease in the death rate.
"I don't know that the fact that there was a slight decrease in the growth rate of online retail was a function of the economy so much as it was the slight maturing of online retail," he said.
A slight decrease in the degradation rate of R6G occurred with the increase in the recycle number.
The post oxidation step leads to a slight decrease in the corrosion rate because it partially seals the porous nitrided layer.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com