Answer:
228 feet
Step-by-step explanation:
Since M represents the number of lessons he completes,
sub M=8 into S=26M+20
S=26(8)+20
=228
Caixa de Marcos = m
caixa de Drew = m-8
Drew levantou 14 caixas
Marcos levantou 9 caixas
D = 14(m-8)
Answer:
Step-by-step explanation:
Recall that since X is uniformly distributed over the set [1,4] we have that the pdf of X is given by 
if 
and 0 otherwise. In the same manner, the pdf of Y is given by 
if 
and 0 otherwise.
Note that if Y is in the interval (4,5] then Y>X by default. So, in this case we have that P(Y>X| y in (4,5]) = 1. We want to calculate the probability of having Y in that interval . That is
. Thus, 
.
We want to proceed as follows. Using the total probability theorem, given two events A, B we have that
In this case, A is the event that Y>X and B is the event that Y is in the interval (4,5].
If we assume that X and Y are independent, then we have that the joint pdf of X,Y is given by 
when 
. We can draw the region were Y>X and the function h(x,y) is different from 0. (The drawing is attached). This region is described as follows: and 
, then (the specifics of the calculations of the integrals are ommitted)
Thus,
Answer:
m∡r = 35°
m∡t = 145°
m∡u = 35°
m∡v = 90°
m∡w = 125°
Step-by-step explanation:
m∡r = 180-(134+11)
= 180 - 145
m∡r = 35°
m∡r + m∡t = 180°
35 + t = 180
m∡t = 145°
m∡t + m∡u = 180°
145 + u = 180
m∡u = 35°
m∡u + m∡v + 55° = 180°
35 + 55 + m∡v = 180
m∡v = 90°
m∡w + 55° = 180°
m∡w = 125°
The answer is choice D. :)
