garth brooks

garth brooks

Log in to WhatsApp Web for simple, reliable and private messaging on your desktop. Send and receive messages and files with ease, all for free.

Related Articles

Trending Articles

A startup’s user base grows exponentially. On day 0, there are 1,200 users. After 10 days, the base reaches 7,680 users. Assuming continuous exponential growth \( P(t) = P_0 e^{kt} \), what is the approximate number of users after 20 days?\( P_0 = 1200 \), \( P(10) = 7680 \)\( 7680 = 1200 e^{10k} \Rightarrow e^{10k} = \frac{7680}{1200} = 6.4 \)\( 10k = \ln(6.4) \approx 1.856 \Rightarrow k \approx 0.1856 \)\( P(20) = 1200 e^{0.1856 \times 20} = 1200 e^{3.712} \)\( e^{3.712} \approx e^{3.7} \approx 40.45 \) (Since \( e^{3.4} \approx 30, e^{3.7} \approx 40.5, e^{3.712} \approx 40.6 \))\( P(20) \approx 1200 \times 40.6 = 48,720 \)#### 48720An epidemiologist is analyzing vaccination rates across 5 regions. The rates (in %) are: 68, 74, 70, 82, and 76. She wants to compute the standard deviation to assess disparity. What is the standard deviation, rounded to the nearest tenth?Mean: \( \frac{68 + 74 + 70 + 82 + 76}{5} = \frac{370}{5} = 74 \)