How do you condense 2ln6 - ln3?
1 answer:
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Answer:
Using calculator: 0.0415
Using Z-score Table: 0.0418
Step-by-step explanation:
There are two ways you can solve this problem.
1. Use the normal distribution function on a calculator.
Entered values:
Lower Limit: 126
Upper Limit: 999999999999999... (To encompass all the data)
Standard Deviation: 15
Mean: 100
2. Find the Z score and look up probabilities on table.
Formula for Z score:
Z = 1.7333
This means that the value 126 is 1.733 standard deviations away from the mean. We can look this value up on the Z table to find its corresponding probability.
This will show us the probability of the random sampling being equal to or lower than 126.
P = 0.9582
So to find the probability of it being above, we simply just calculate the inverse as all probabilities on the curve = 1.
1-0.9582 = 0.0418
NOTE: Values found from the table will usually be a bit different from if you find it from a calculator, the one you need will depend on the method you use in class.
Hope this helped!
Answer:
B,5.4 units.
Step-by-step explanation:
Parallelogram RSTU
R(1,1),S(7,0),T(10,4),U(4,5)
slope of RU m=(5-1)/(4-1)=4/3
slope of RS=(0-1)/(7-1)=-1/6=-1/6
slope of ST=(4-0)/(10-7)=4/3
slope of TU=(5-4)/(4-10)=1/(-6)=-1/6
RU||ST
eq. of line RU is
y-y1=m(x-x1)
y-1=4/3(x-1)
3y-3=4x-4
4x-3y-4+3=0
4x-3y-1=0
perpendicular distance of a point (x1,y1) from line ax+by+c=0 is
perpendicular distance of (7,0) from 4x-3y-1=0