<span>The same question as the latter,
Pressure and Force
Density and mass
Force and acceleration
Proportional linear relationship introduces a direct variation between the variables involved meaning when one increase the other also increases. The greater the amount of force, the greater is the pressure is an example.
It
introduces the relationship between two variables and is called
correlation. Proportionality or variation is state of relationship or
correlation between two variables It has two types: direct variation or proportion which
states both variables are positively correlation. It is when both the
variables increase or decrease together. On the contrary, indirect variation or proportion indicates
negative relationship or correlation. Elaborately, the opposite of what
happens to direct variation. One increases with the other variables,
you got it, decreases. This correlations are important to consider
because you can determine and identify how two variables relates with
one another. Notice x = y (direct), y=1/x (indirect)</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
112 * .09 = 10.08 that is the sales tax
112+10.08 =122.08 is the total amount paid
3x + 12 = 18 . . . . . (1)
-(3x + 12) = 18 . . . (2)
From (1): 3x = 18 - 12 = 6
x = 6/3 = 2
From (2): -3x = 18 + 12 = 30
x = 30/-3 = -10
Therefore, there are two solutions.
35
Do 28 squared+21 squared and that equals 1225. Then you do the square root of 1225 and that equals 35