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A baseball player has a batting average of 0.16. What is the probability that he has exactly 1 hits in his next 7 at bats?

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The one-to-one function g is defined below. g(x)=(-5x 3)/(4 x) Find g^(-1)(x), where g^(-1) is the inverse of g. Also state the domain and range of g^(-1) in interval notation.

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What is the empirical formula of a compound with the following mass composition? C = 73.03%, H = 6.13%, O = 20.84%

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25. What is the primary function of cholesterol in the plasma membrane? a) To serve as a receptor for hormones b) To stabilize the fluidity of the membrane c) To facilitate the movement of proteins d) To bind with carbohydrates

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Q4. Consider the difference equation model $A_{t+1} = A_t - 0.6A_t + 300$, $A_0 = 0$ for presence of a drug administered hourly where $A_n$ is the amount of the drug (in mg) in the bloodstream at time $t$, the hourly dosage is 300mg and 60% of the drug in the bloodstream is lost per hour through filtration. (a) Use solution by iteration to calculate $A_1, A_2, A_3$ and $A_4$. (b) Use the closed form solution $A_t = 500(1 - 0.4^t)$ to calculate the volume of the drug in the bloodstream one day and two days after the start of treatment. (c) What long term bloodstream level does this model predict? (d) Suppose the aim of treatment is to achieve a target level of at least 400mg of the drug in the bloodstream. Use the closed form solution to find the time $t$ at which this is achieved. [Recall that $\ln(a^t) = t\ln(a)$.]

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Survival Probability (St) 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 0 2 4 6 Time (years) 8 10 12

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For many purposes we can treat ammonia ($NH_3$) as an ideal gas at temperatures above its boiling point of -33. $^\circ$C. Suppose the temperature of a sample of ammonia gas is lowered from 40.0 $^\circ$C to 9.0 $^\circ$C, and at the same time the pressure is increased by 10.0%. Does the volume of the sample increase, decrease, or stay the same? If you said the volume increases or decreases, calculate the percentage change in the volume. Round your answer to the nearest percent.

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Why is the survivorship curve of humans drops off sharply as it approaches 100% life expectancy while trees show the opposite relationship and for birds, the number of surviving individuals decreases as the percentage of maximum life expectancy increases. Which type of survivorship curve would you expect small lizards to have? Type I, II, III and why?

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Nicole Eagan, the CEO of Darktrace, addressed the WSJ CEO Council Conference in London, mentioning the following: "There's a lot of internet-of-things devices, everything from thermostats, refrigeration systems, HVAC systems, to people who bring in their Alexa devices into the offices. There's just a lot of IoT. It expands the attack surface, and most of this isn't covered by traditional defenses." Eagan gave one memorable anecdote about a case Darktrace worked on in which a casino was hacked via a thermometer in an aquarium lobby. "The attackers used that to get a foothold in the network," she said. "They then found the high-roller database and then pulled that back across the network, out the thermostat, and up to the cloud." Today we are witnessing a surge of innovation in disruptive technologies such as Artificial Intelligence (A.I.) and the Internet of Things (IoT). The intersection of these trends has a profound impact on the way we conduct our business and lives. IoT integrates various sensors, objects, and smart nodes that are interoperable through its embedded computing system. The wide distribution of IoT nodes and the private nature of data that are collected and transferred by these IoT devices made security a major challenge. Conduct research and appraise IoT architecture and discuss the major security breaches that exist in IoT environments.

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H.W: Find the currents and voltages shown in the figure below: 2 ? $i_1$ $i_3$ 4 ? + $v_1$ - 5 V + $v_3$ - + $v_2$ 8 ? - 3 V Answer: $v_1 = 3v$, $v_2 = 2v$, $v_3 = 5v$, $i_1 = 1.5A$, $i_2 = 0.25$, $i_3 = 1.25A$

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