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The distance advanced in a day by a tunnel boring machine, in meters, is uniformly distributed on the interval (28.00, 50). Suppose the distances advanced on different days are independent. What is the probability the machine advances more than 45 meters on exactly four out of 10 days? (Round the final answer to four decimal places.)

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Ribosomes contain which of the following? tRNArRNAmRNAmRNA, tRNA, and rRNA are all found as part of the ribosome.

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Kia is in a group with her friends when they see another group come into the community center. Kia thought that members of this other group were all dressed in unusual clothing and spoke a different language. What is the best way to describe how Kia and her friends viewed this other group? Strange Different Irrational Unique

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Why are wheat, pork, chicken, corn and fish some of the most common food allergens?

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Red blood cells that produce the A antigen are found in type O- blood. type AB+ blood. type B- blood. type O+ blood.

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f. Show that the Wronskian, $W = W[x^{(1)}, x^{(2)}]$, found in e is a solution of Abel's equation: $W' = (p_{11}(t) + p_{22}(t))W$. 1. $x' = \begin{pmatrix} 2 & -1 \ 3 & -2 \end{pmatrix} x$; $x^{(1)} = \begin{pmatrix} 1 \ 1 \end{pmatrix} e^t$, $x^{(2)} = \begin{pmatrix} 1 \ 3 \end{pmatrix} e^{-t}$

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Answer these questions from 1-7 It is obvious what your answers are, ng them i(work included). Sup yn aifomleauoationnf ay everyone on is a 4-hour walatching tour, Nothing quite being stuck on a boat with coworkers to develop workplace friendships. The number of whales spotted on a 4-hour tour averages 5.7 and follows the Poisson Distribution. 1) What is the probability that you will see at least 4 whales on the 4-hour tour? (2 points) njo9nom noddns core less than 90 on the golf course. The executives are impressed, and invite you to join them for their weekly outing for the next 9 weeks. 2) What is the probability that you will score lower than 90 on every round played? (2 points) 3) What is the probability that you will score lower than 90 on two or fewer rounds? (3 points) Haase's TA stands for teaching assistant (we don't have them here) and you are preparing to grade a round of midterms. Prof. Haase tells you he requires an average of 23.5 minutes to grade an exam with a standard deviation of 4 minutes. You decide to start grading with a sample of 32 exams. (2 points) Technology has been growing at increasing rates. John Connor leads a research group that reports 42% of the experts believe that in the future our lives will be more harmed than helped by the digital environment. In an effort to confirm these results, 215 randomly selected people are asked their opinions about their digital life. 5) What is the probability that between 75 to 100 people are concerned about the digital future? (3 points) The company you worked for in the beginning of this exam has opened a new location in Maine. You relocate to help settle in the new employees. You now take the new employees on puffin watching tours. When you go on these tours, you are able to spot puffins at an average rate of 8 per hour. Assume the time between puffin sightings follows an exponential distribution. 6) An overexcited new employee wants to know what's the probability that you will see a puffin in the next 5 minutes? (2 points) 7) What is the probability that the next puffin sighting will occur between the next 10-20 minutes? (3 points)

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14.5 moles of I2 gas expands against a constant external pressure of 307 kPa at a constant temperature of 318 K. The initial volume is 56.0 L and the final volume is 97.8 L. You may assume that the molar heat capacity of I2 follows equipartition theory using the translational and rotational modes. No chemical rxn or phase change occurs. a) Calculate w (in J) for the system b) Calculate q (in J) for the system c) Calculate $\Delta U$ (in J) for the system

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You have a person pulling to the left with force 180 N, and another person pulling to the right with force 183 N. If both are pulling on a box with mass 5.3 kg, what is the acceleration of the box (in m/s²)? For this problem, define right as + and left as -. (If your answer is negative, do enter it as negative.)

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2. Find the area bounded by the curves: $y = x$ and $y = x^3$ over the interval $[-1, 1]$. Follow examples 1-3 from section 5.5. 3. The marginal profit for a product is given by $MP(x) = -0.06x + 10$. Find the change in profit when sales increase from 80 to 81 units. See example 6 from section 5.4.

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gregory l.