Answer: 4
Step-by-step explanation:
7+5+5+3+2+2=24
24 ÷ 6 = 4
Kepler believed in the Copernican system and sought the key to reconciling Tycho’s observations with a heliocentric model for the solar system. In addition to his mathematical genius, his philosophical contribution was huge - as described by Einstein: "[Kepler] had to realize clearly that logical-mathematical theorizing, no matter how lucid, could not guarantee truth by itself; that the most beautiful logical theory means nothing in natural science without comparison with the exactest experience. Without this philosophical attitude, his work would not have been possible." (from the introduction Einstein wrote for Baumgard & Callan's 'Johannes Kepler: Life and Letters' (1953)). Kepler's focus on fitting the exact observations from Tycho led him to abandon the idea that the planets had to move on combinations of circles, a bit of logical-mathematical theorizing that had held sway for 1800 years!
Answer:
i think it might be the first or third one
Step-by-step explanation:
<span>A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a new prescription painkiller. She plans to use statistical methods to estimate the mean of the population of relief times. She believes that the population is normally distributed with a standard deviation of 18 minutes. How large a sample should she take to estimate the mean time to within 4 minutes with 97% confidence?
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n = [z*s/E]^2
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n = [2.17*18/4]^2 = 96 when rounded up
</span>
So here, we are starting with two numbers: the original price, and the price after the percent increase.
First, we need to find the differences between the prices to figure out how much of a difference the percent made. $181.09 - $102.30 = $78.79
$78.79 is how much money the original price was increased by. We can find the percent change using this, since this number is what percent of the original price went up.
So now: $78.78 / $102.30 = .77018
And now, we convert that to percent: 77%
The markup was 77%.
