You're mixing your calculations. For Israel -- You're citing 55% of total population. For US, you're talking 50% of ADULTS. For Israel, you're citing fully vaccinated, for US, you're citing first dose.
If you're comparing us to Israel -- they are 55% fully vaccinated, we are 23%.
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That's not how it works. The 20% naturally infected OVERLAPS with those who are vaccinated. So you can't just add them. (that's not what the Israeli stat did).
So if US hits 60% of adults vaccinated --- And 20% of the remaining 40% have natural immunity -- That is 68% of adults. Far short of Israel's 85%.
To reach Israel's 85% of adults with immunity -- Assuming 25% of Americans now have natural immunity, we would need to hit 80% of adults vaccinated. That's approximately where Israel is -- They have vaccinated 80% of adults, and about 1/4 of the non-vaccinated people have natural immunity, thereby they get to 85%.
So no... we sadly aren't on track to hit Israel's level in less than a month.
Yes... so if you want to be more accurate, use the number of vaccinated adults -- 80% in Israel.
Yes -- and gyms and other places. All activities where they aren't used here. Also being used for EMPLOYMENT.