Porobability distribution of X
x P(x)
0 0.2
1 0.4
2 0.4
Total .1.0
i] Expectation
Mean=Σxp
Variance=x²p-(∑xp)²
thus:
Mean=(0*0.2)+(1*0.4)+(2*0.4)
=0+0.4+0.8
=1.2
ii] Variance
Variance=[(0²*0.2)+(1²*0.4)+(2²*0.4)]-(1.2)²
=[0+0.4+1.6]-1.44
=0.56
hence:
standard deviation=sqrt(0.56)=0.74833
A mixture of fresh air and exercise are good for this experience
Answer:
60 degrees
Step-by-step explanation:
All angles of a triangle will add up to equal 180 degrees.
Set up an equation to solve for x:
9x - 3 + 50 + 9x + 7 = 180
Combine like terms
18x + 47 + 7 = 180
18x + 54 = 180
Subtract 54 from both sides
18x = 126
Divide both sides by 18
x = 7
Now plug in 7 for x in the expression for angle A:
9(7) - 3
63 - 3
60
Check work:
60 + 50 + 9(7) + 7 = 180
110 + 63 + 7 = 180
173 + 7 = 180
180 = 180
Correct
Answer:
The function diverges to .
Step-by-step explanation:
The function diverges to .