Answer:
Step-by-step explanation:
Let A and B events. We have defined the probabilities for some events:
Where A' represent the complement for the event A
The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: 
So for this case we can solve for P(A) like this:
And now we can find 
using the total probability rul given by:
And if we replace the values given we got:
And that would be the final answer.
V=448 in^3
l=8 in
w=12
h=?
V=l•w•h/3
448=8•12•h/3 multiply both sides by 3
3•448=96•h
1344=96•h
h=1344/96
h=14 in
V=l•w•h/3
h=4in
l=3in
w=2.5 in
V=?
V=4•3•2.5/3
V=30/3
V=10 in^3
There the same thing they both weigh the same thing hope it helps and have a great day!
Answer:
Step-by-step explanation:
(cos 4a*cos 2a+sin 4a*sin 2a)/sin 4a
=[cos (4a-2a)]/sin 4a
=(cos 2a)/sin 4a
=(cos 2a) /(2 sin 2a cos 2a)
=1/(2 sin 2a)
=1/2 csc 2a
Answer:
y=5x+4
Step-by-step explanation:
First get slope:
(4-9)/(0-1) = -5/-1 = 5
The y-intercept is where the graph hits the y-axis. That is also the point on the graph where x = 0. We are already given that, with point (0,4).
The y-intercept is 4.
y = mx +b, m is slope and b is the intercept.
y = 5x +4
