The following fragments were obtained after digestion of a sequence using restriction enzymes: 5.3 kb, 2.1 kb, 6.8 kb, 3.6 kb, 1.1 kb, 2.2 kb. Order the fragments, moving from the fastest migration to the slowest migration on a gel. Which two fragments may be difficult to isolate on a gel? Why? Sketch the resulting gel after running the fragments on it. Assume that the fragments were all run in one lane. Label the positions of the positive and negative electrodes.
A particle of mass m is constrained to move on
the boundary of an ellipse x^2 + y^2 = 2. Identify
the generalize.d coordinates of this system.
The prevalence of a certain type of cancer among men aged 55−𝟔𝟎 is 1 in 100. A blood test will
be positive 95% of the time if the cancer is present but it is also positive 4% of the time if the
cancer is not present.
2.1. In a routine checkup, 56-year-old men receive a positive blood test. What is the probability that
he has the type of cancer?
2.2. What is the probability that a randomly selected 56-year-old men tests negative?
Benzene has a refractive index of 1.43. Suppose a light ray strikes its
surface at an angle of 40°, what is the directions of the reflected and the
refracted rays?
Determine whether the statement is logically equivalent using truth tables. [ (~P ∧ Q ) ⊕ P ] AND ( ~P V∧ Q)
Use Euclidean algorithm to determine the gcd (4076, 1024)
An oil company sends out monthly statements to its customers who purchased gasoline and other items using the company’s credit card. Until now, the company has not included a pre-addressed envelope for returning payments. The mean number of days before payment is received is 9.8. As an experiment to determine whether enclosing pre-addressed envelopes speeds up payment, 150 customers selected at random were sent pre-addressed envelopes with their bills. The sample statistics showed a mean of 9.16 days and a standard deviation of 2.642 days. Do the data provide sufficient evidence at 5% level of significance to establish that enclosure of pre-addressed envelopes improves the average speed of payments?