Numerade

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Convert the equation rsin0=-8sin(20) to cartesian coordinates. describe the resulting curves. Choose the correct equations below. Choose the best description of the curves described by this equation

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What are the region of the brain are included in the diencephalon

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$ x+7>(-2) $ and $ y-5<9 $ $ x+7>(-2) \rightarrow $ $ y-5<9 \rightarrow $ Combined inequality $ \square $ a. $ 0>y-4 $ b. $ 0>-y-14 $ c. $ x-y>1 $ d. $ x+9>0 $ e. $ x-y>(-23) $ f. $ x-5>0 $

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3: You are in the market for a new vehicle. You have narrowed your choices to two vehicles. A new Cadillac Escalade or a new Chevy Equinox. The Cadillac would cost you a \$110,000, while the Chevy would cost you \$35,000. You can afford either vehicle. The Cadillac would give you 150,000 utils of satisfaction while the chevy would provide 55,000 utils of satisfaction. This shows that you obviously like the Cadillac. Given the information, which vehicle do you purchase? Explain in detail the rational for your choice.

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The bacteria that cause plague, Yersinia pestis, maintain their existence in a cycle involving rodents and their fleas. In urban areas or places with dense rat infestations, the plague bacteria can cycle between rats and their fleas. The last urban outbreak of rat-associated plague in the United States occurred in Los Angeles in 1924-1925. Plague bacteria are most often transmitted by the bite of an infected flea. Plague-infected fleas usually bite rates or mice, but dogs and cats may also bring infected fleas into the home. What type of disease transmission does this represent? Group of answer choices indirect transmission direct transmission normal transmission none of the above

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4. Give the dimensions of the matrix. \[ \left[\begin{array}{l} 3 \\ 0 \\ 2 \end{array}\right] \] $ 3 \times 1 $ $ 1 \times 3 $ cannot determine

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The signals of parturition originate from ________ . Question 6Answer a. Oxytocin released from pituitary b. Fully developed fetus c. Both placenta and fully developed fetus d. Placenta

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(6 points). Let $X_1, \dots, X_n$ be identically independently distributed (iid) random variables with common expected value $\mu$ and variance $\sigma^2$. Denote $\bar{X} = \sum_{i=1}^n X_i/n$. Use the Central Limit Theorem. (a) (2 points). Let $X_i$ be amount of water in a certain type of containers. Assume $\mu = 50$ and $\sigma = 10$. Compute $P(\bar{X} \le 45)$ when $n = 50$. (b) (2 points). Let $X_i$ be the number of defected nails in a certain box with $\mu = 40$ and $\sigma = 12$. Compute $P(\bar{X} \ge 43)$ when $n = 40$. (Hint: you must consider the 0.5 shift). (c) (2 points). Suppose the CDF of $X_i$ is given below. Compute $P(\bar{X} \le 2.15)$ if $n = 1000$. $F(x) = \begin{cases} 0 & \text{if } x < 1\\ 0.2 & \text{if } 1 \le x < 2\\ 0.6 & \text{if } 2 \le x < 3\\ 1 & \text{if } x \ge 3 \end{cases}$

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4. $\frac{dy}{dt}$ for $y = \ln(\ln(2t^3))$

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Question 23 Maximizing utility requires that consumers get the most satisfaction out of every dollar they spend. is very easy for consumers to achieve. always requires that consumers spend more money than they have. requires that the marginal utility of each good consumed is equal, no matter the price of each good consumed. requires that the price of each good is equal.

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