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Suppose that 4% of all TVs made by A&B Company in 2000 are defective. If eight of these TVs are randomly selected from across the country and tested, what is the probability that exactly three of them are defective? Assume that each TV is made independently of the others.


A. The conversion of malate into fumarate: 1. Malate) fumarate)+ H₂Om




is endergonic at body temperature, 37°C, AG is 2.93 kJ mol'. In metabolism the




reaction is coupled with




2. fumarate) aspartate()




for which AG is-15.5 kJ mol at 37°C




a. Calculate Keg for reaction 1.




b. Calculate Ke, for reaction 2.

A culture starts with 230 bacteria. After 30 minutes the number of bacteria is 1150. 5.1 find a formula for the number of bacteria after t hours. 5.2 use the formula to find the number of bacteria after 1 hour. 5.3 after how many minutes will the number of bacteria be 125 times the original number? Leave the answer in terms of ln but in simplified form.


Write an if-else statement that compares the age variable with the value 65. If age is greater than or equal to 65, add 1 to senior_citizens. Otherwise, add 1 to non_seniors.


Suppose the functions f,g and h are defined by f(x)=3^x+3^-x+3 and g(x)=log5(x+2)+log5(3)-log4(2x-3) and h(x)=e^x+15e^-x respectively 4.1 write down the sets Df,DG and Dh that represent the domains of f g and h respectively. 4.2 solve the equation f(x)=12 for x. 4.3 solve the inequality g(x)= 0 for x. 4.4solve h(x)=8 for x. Leave the answer in terms of ln, where necessary


The average number of calories in a 1.5-ounce chocolate bar is 217. Suppose that the distribution of calories is approximately normal with standard deviation is 9. Find the probability that a randomly selected chocolate bar will have more than 190.




The time usage of a certain printer cartridge follows a normal probability distribution with mean 58 hours and standard deviation of 183 minutes. Around what time usage guarantee (in hours) should the manufacturer advertise in order to ensure that only 0.1306% of the cartridges fail to meet the guaranteed time usage?


Rewrite the expression 16/8log(x+5)+16/4log(x^2+3)-4/8log(x+2) as a single logarithm


Rewrite the expression log5(√(x^3+1)^3(x^2+5)^4/(x^2+4x+2)^5))^3


from digits 3,5,7, and 9 and if no repetition of digit is allowed how many numbers can be formed that are one-digit numbers


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