<span>length = 7x
</span><span>width = 2x
2(7x + 2x) = 72
7x + 2x = 72/2
9x = 36
x = 36/9
x = 4
</span>
width = 2x = 2 * 4 = 8 units<span>
</span>
Step-by-step explanation:
P(A) = 0.47
P(B) = 0.53
P(A|B) = 0.57
a. Probability that at least one stock will rise is equal to P(A u B)
= P(A) + p(B) - P(A n B)
= (O.47+0.53)-(0.53*0.57)
= 1-0.3021
= 0.6979
b. Events A and B are not mutually exclusive. This is because P(AnB)≠0
P(AnB) = p(B).P(A|B)
= 0.53x0.57
= 0.3021 and this value is not equal to 0
c. No, events A and B are not independent. This is because P(A|B) ≠ P(A)
Since we have
p(A) as 0.47
P(A|B) as 0.53
Both sides are identical.
A. This question asks us to solve the equation for P. This also means to isolate this variable.
S=Ph+2B
S-2B = Ph
(S-2B)/h = P
B. Using the information, we plug this into the perimeter equation, where h = 4, S=96 and B = 8
(96-2(8))/4 = P
80/4 = P
P = 20 meters²