Answer:
Expected number of guests is 100.4.
Step-by-step explanation:
It is given that there are 161 guest if there is a heavy snow fall.
Also, the probability for a heavy snow fall is 0.40.
Therefore, P(X = 161) =0.4.
It is also given that there are 60 guests if there is a light snow fall.
The probability for a light snow fall is 1 - 0.4 = 0.6.
Therefore, P(X = 60) = 0.6.
Expected number of guests = (161)P(X = 161) + (60)P(X = 60)
= 161(0.4) + 60(0.6)
= 64.4 + 36
= 100.4
Answer:
B. The vectors v and w are orthogonal because their dot product is <u> 0 </u>
Step-by-step explanation:
Given that :
v= - i - j
w= - i + j
Therefore;
vw = ( - i - j ) ( - i + j )
Taking each set of integer of the vector into consideration:
vw = ( -1 × - 1) ( -1 × 1)
vw = 1 - 1
vw = 0
Hence, we can conclude that :
The vectors v and w are orthogonal because their dot product is <u> 0 </u>
Answer:
no
Step-by-step explanation:
Answer:
a) t = 4 secs
b) t = 3 secs
Step-by-step explanation:
h = 64 ft
Initial velocity = 48 ft/s
S = 64 + 48t - 16t^2
a) Set S = 0 and solve for t
0 = 64 + 48t - 16t^2
Divide through by 16
0 = 4 + 3t - t^2
t^2 - 3t - 4 = 0
t^2 - 4t + t - 4 = 0
t(t - 4) + 1(t - 4) = 0
(t + 1) (t - 4) = 0
t + 1 = 0 or t - 4 = 0
t = -1 or t = 4
t = {-1,4}
t = 4 seconds
b) Set S = 64 and solve for t
64 = 64 + 48t - 16t^2
64 - 64 = 48t - 16t^2
0 = 48t - 16t^2
Divide through by 16
0 = 3t - t^2
t^2 - 3t = 0
t(t - 3) = 0
t = 0 or t-3 = 0
t = 0 or t = 3
t = {0,3}
t = 3 secs
Answer:
2
Step-by-step explanation:
