To evaluate the probability that a randomly selected day will be between 28 and 34 minutes we proceed as follows:
P(28<x<34)
First we evaluate the z-score for the above values:
z=(x-σ)/μ
μ=26.7
σ=5.1
when:
x=28
z=(28-26.7)/5.1
z=0.26
P(z<0.26)=0.6026
when x=34
z=(34-26.7)/5.1
z=1.43
P(z<1.43)=0.9236
hence:
P(28<x<34)=0.9236-0.6026=0.321~32.1%
Answer:
x - y = 4
x + y = 4
Step-by-step explanation:
Substitute x=4 and y=0 in every equation. If both sides of the equal sign are equal, (LS=RS, left side equals right side) then the graph intersects at (4,0).
- x - y = 4
- (4) - 0 = 4
-4 = 4
LS≠RS
x - y = 4
4 - 0 = 4
4 = 4
LS=RS
2 x + y = 7
2(4) + 0 = 7
8 = 7
LS≠RS
2 x + y = -7
2(4) + 0 = -7
8 = -7
LS≠RS
x + y = 4
4 + 0 = 4
4 = 4
LS=RS
2 x - y = 7
2(4) - 0 = 7
8 - 0 = 7
8 = 7
LS≠RS
Only x - y = 4 and x + y = 4 intersect at (4, 0).
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