The waiting time at a doctor’s office is uniformly distributed with a minimum waiting time of 10 minutes and a maximum waiting time of 30 minutes. What is the probability that a person has to wait between 10 and 15 minutes?

25%

Step-by-step explanation:

There are 20 minutes between 10 and 30 and 5 minutes between 10 and 15 so you need to find 5% of 20 (5/20 x 100) which is 25%

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

geometry: triangles

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lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584