Examples of 'hard numbers' in a sentence
Meaning of "hard numbers"
Hard numbers refer to quantifiable and objective data or facts that can be measured, counted, or verified with certainty. It is contrasted with subjective opinions or qualitative information. Hard numbers are often used in various fields such as economics, finance, statistics, and science to support research, analysis, decision-making, and evaluations. Examples of hard numbers include numerical values, figures, statistics, percentages, and other concrete measurements
How to use "hard numbers" in a sentence
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hard numbers
Hard numbers can leave people cold.
You need reasons based on hard numbers.
I want hard numbers and a strategy.
Here is what that means in hard numbers.
Hard numbers are not available for comparison.
Sit at a table and talk hard numbers.
I do not have hard numbers for any of this stuff.
Let me begin with the hard numbers.
But putting hard numbers to the problem is an important step.
Let us get to the hard numbers first.
Hard numbers will tell how the story ends.
We will come at you with some hard numbers.
Analysis that translates hard numbers into actionable insights.
The story also provides some hard numbers.
Or so the hard numbers say.
See also
Now we are ready to start talking about cold hard numbers.
Told by hard numbers.
Your partners and investors want to see hard numbers.
No hard numbers were proposed for reducing tariff barriers or export subsidies.
I do not have any hard numbers.
We find these hard numbers can help families find a clear path towards achieving their objectives.
I am talking about cold hard numbers.
Commissioners demand hard numbers from firm ahead of European parliament elections.
Have a look at the hard numbers.
I need the latest hard numbers in the No Doubt competition.
The best way to show them is with cold hard numbers.
I am instructed NOT to use hard numbers when telling kids how old rocks are.
You can not disagree when you measure with hard numbers.
But until now the economists lacked hard numbers to confirm their suspicions.
But this information is very difficult to measure and put into hard numbers.
Consider the hard numbers.
Hard numbers are not an issue in any other game I know of.
And he expects hard numbers.
Cold hard numbers tell the UFC that fans do not care about Johnson.
The model is based on a combination of hard numbers and reasoned estimates.
Spokesman Rob Roser explained how his team translated particle collisions into hard numbers.
So, these are very hard numbers to count.
The secret KPMG report shows the truth in hard numbers.
Some hard numbers on science's leadership problems.
I think I shall stick with hard numbers.
Do you have any hard numbers to dispute him?
Lizards . i think i shall stick with hard numbers.
As mathematicians, we believe in hard numbers instead of subjective arguments.
In addition, economists like to base conclusions on hard numbers.
Even when presented with hard numbers backing up my assertions, he still balked.
To the right, you will find hard numbers.
Greg does not provide any hard numbers so it 's hard to measure the development effort.
Let us start with the cold, hard numbers.
Sometimes it's not hard numbers that matter, but rather the story of one participant.
I don't know if there are any hard numbers.
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Examples of using Numbers
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Numbers are taped to the back of the phone
And fills our numbers with warriors
The numbers are even more compelling here
Examples of using Hard
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I am kind of a hard nut to crack in that department
Thank you for seeing how hard it is
You worked hard to get where you are
