A doctor prescribes 250 mg of a drug The amount of the drug

The discrete time system y n ex n 2 is O 1 None of the answers O 2 None linear and causal O 3 None linear and none causal O 4 Linear and none causal O 5 Linear and time invariant

In the following problem check that it is appropriate to use the normal approximation to the binomial Then use the normal distribution to estimate the requested probabilities It is known that 77 of all new products introduced in grocery stores fail are taken off the market within 2 years If a grocer store chain introduces 61 new products find the following probabilities Round your answers to four decimal places LUSE SALT a within 2 years 47 or more fail b within 2 years 58 or fewer fail c within 2 years 15 or more succeed d within 2 years fewer than 10 succeed

Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood Assume that x has a distributi that is approximately normal with mean 7 600 and estimated standard deviation 1 700 A test result of x 3 500 is an indication of leukopenia This indicates bone marrow depression that may be the result of a viral infection LUSE SALT a What is the probability that on a single test x is less than 3 500 Round your answer to four decimal places b Suppose a doctor uses the average x for two tests taken about a week apart What can we say about the probability distribution of x The probability distribution of x is approximately normal with The probability distribution of x is not normal The probability distribution of x is approximately normal with 7600 and The probability distribution of x is approximately normal with 7600 and What is the probability of x 3 500 Round your answer to four decimal places 7600 and 850 1700 1202 0815 c Repeat part b for n 3 tests taken a week apart Round your answer to four decimal places

Expand fully log 6 O log x 7 O 6 7 log a 5 7 x6y 5 24 4 log y log z 7 5 log y 7 4 7 log z

Solve for x Leave the answer as a reduced fraction log 9 log 5x 6 2 X

Choose the correct exponential form for the following logarithms a log 5125 3 O 35 125 O 5 125 O 125 35

4 State the equation of the line y 8x after it undergoes reflection in the x axis followed by a translation up 6 units 2C

The population of a small mining town was 13 700 in 2000 Each year the population decreases by an average of 5 a Explain why the situation described is an example of exponential decay b Write an exponential function that models this situation Explain each part of the equation c Use your equation to estimate when the population will drop below 5000

Insert the missing parentheses into each of the following formulae NOTE Click here for info on typing symbols and formulae in activities Question 19

STRUCTURE Consider the function f x x 3 2 and the function g x shown in the graph a Determine which function has the greater maximum value Explain your reasoning b Compare the domains of the two functions c Compare the average rates of change of the two functions over the interval 6 13 BRH2D8642 18 16 14 12 10 0 52 6 glx 2 4 6 8 10 12 14 16 18