Answer:
1.3455
Step-by-step explanation:
A 15% increase is a multiplication by 1.15
So a 15% and a 17% increase is a multiplication of 1.15*1.17 = 1.3455
9514 1404 393
Answer:
136
Step-by-step explanation:
The attached chart shows the result of using the numbers in the problem statement to calculate the percentage of the population in each category.
95% accuracy on infected individuals is assumed to mean that 95% of the 2% who are infected return a positive test result. The other 5% return a negative test result.
Similarly, 90% accuracy on uninfected individuals is assumed to mean that 90% of the 98% who are not infected will return a negative test result, and the remaining 10% of those 98% will return a (false) positive test result.
Then of the 11.7% who return a positive test result, only 1.9% are actually infected. This fraction is a/b = 19/117, so ...
a + b = 19 + 117 = 136
_____
<em>Additional comment</em>
When forming ratios of percentages, one must be very clear about the base of the percentage. Above, the base for every percentage is the entire population of mathletes. The fraction 19/117 is the fraction of those who tested positive that are actually infected (about 16.2% of positives).
You can't deliver ANY oranges to Everett. The tax for the trip is 1,000 oranges,
and that's also the size of the full load. You only carry enough to pay the tax
along the way, and you arrive at Everett with an empty truck. The only way
you can deliver ANY oranges to Everett would be with a bigger truck, that
can carry more. (But then the tax might also be more for a bigger truck.)
=============================
Well now, wait just a minute. Don't go away. I don't know if this
is the greatest possible number, but I know how you can get 500
oranges all the way there. I have to warn you that this method
does involve considerable risk:
-- Load up with 1,000 oranges.
-- Drive half-way to Everett. It costs you 500 oranges,
so you have 500 left on the truck. UNLOAD the truck
right there, by the side of the road, and cover the 500
oranges with grass and leaves so no animals or people
will know that they are there.
-- Return to Orangeland with your empty truck. That trip
costs you no tax.
-- Load your truck with the remaining 1,000 oranges.
-- Drive halfway to Everett again. It costs you 500 oranges
in road tax, so you arrive at the halfway point with 500 oranges
still on your truck.
-- Stop at the halfway point. Search relentlessly for the 500 oranges
that you left there earlier. Clean them off when you finally find them,
and load them back on your truck. Your truck is now fully loaded again
with 1,000 oranges.
-- Drive the rest of the way to Everett. That half of the trip costs another
500 oranges in tax, and you arrive in Everett with 500 oranges.
Answer:
2500 feet
Step-by-step explanation:
500*5=2500
