Answer:
The probability is
Step-by-step explanation:
From the question we are told that
The population mean is
The population standard deviation is
The sample size is
Generally the standard deviation of sample mean is mathematically represented as
=>
=>
Generally the probability that the sample mean would be greater than 103.7 gallons is mathematically represented as
Generally
So
From the z table the probability of (Z > -2.203 ) is
So
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Answer:
3.04
Step-by-step explanation:
three and four-hundredths =
= 3 and 4/100
= 3 + 4/100
= 3 + 0.04
= 3.04
Answer:
x-y-3=0
Step-by-step explanation:
Choose two common points on the line of intersection of the planes x − z = 3 and y + 2z = 3:
- 1st point: if x=0, then z=-3 and y=3-2z=3+6=9, so the 1st point is (0,-3,9);
- 2nd point: if x=3, then z=0 and y=3-2z=3-0=3, so the 2nd point is (3,0,3).
The perpendicular plane to the plane x+y-4z=6 is parallel to the vector with coordinates (1,1,-4) (normal vector of the given plane).
Hence, the equation of needed plane is
Thus,