Using fluorescent imaging techniques, researchers observed that the position of binding sites on HIV peptides is approximately Normally distributed with a mean of 2.45 microns and a standard deviation of 0.35 micron. What position, in microns, are 20% of binding sites greater than

2.74 microns

Step-by-step explanation:

According to the given situation, the calculation of position, in microns, is shown below:-

Here we will use the standard normal table,

P(Z > z) = 20%

1 - P(Z < z) = 0.2

P(Z < z) = 1 - 0.2

P(Z < 0.84) = 0.8

after solving the above equation we will get

z = 0.84

Now we will use the z-score formula,

x = 0.294 + 2.45

= 2.744 microns

or

= 2.74 microns

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c