5. A math professor wants to sell his house as soon as its value reaches a certain target. The target value, itself, grows linearly in time, with constant rater >0(due to inflation). The value of the house followsa Brownian motion. The professor cannot sell the house in the first year (he has nowhere to move untilnext year), but will do so as soon as the value of the house reaches the target value, after the first year. Compute the probability that the professor will ever sell his house:

answer: a.   one is a factor of every whole number since every number is divisible by itself.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.