The logistic growth function \( \mathrm{P}(\mathrm{x})=\frac{90}{1+271 e^{-0.122 x}} \) models the percentage, \( \mathrm{P}(\mathrm{x}) \), of Americans who are x years old and have some coronary heart disease. Use this function to find the age at which the percentage of Americans who have some coronary heart disease is \( 52 \% \). What is the age at which \( 52 \% \) of Americans have some coronary heart disease? \( \square \) years old (Round to the nearest integer.)

Point \( S \) is what fractional distance from \( T \) to \( R \) ?

What is the image of point \( (2,3) \) after translation by \( (4,-1 \)

According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267 . Suppose you sit on a bench in a mall and observe people's habits as they sneeze. Complete parts (a) through (c). (a) What is the probability that among 16 randomly observed individuals, exactly 7 do not cover their mouth when sneezing? Using the binomial distribution, the probability is 0676 . (Round to four decimal places as needed.) (b) What is the probability that among 16 randomly observed individuals, fewer than 6 do not cover their mouth when sneezing? Using the binomial distribution, the probability is 3261 . (Round to four decimal places as needed.) (c) Would you be surprised if, after observing 16 individuals, fewer than half covered their mouth when sneezing? Why? ve surprising, because using the binomial distribution, the probability is (Round to four decimal places as needed.)

Use the Distributive Property to solve the equation. \( 5(x-6)+2=7 x-10 \)

COmpletる le frasi con il verbo être. t. Je ................. le professeur de français. 2. Vous ................... sympathiques. 3. Tu ................ génial. 4. Mélissa .................. triste. 5. Ils ................. à l'école. 6. Nous ................... en classe.