Answer: y - 3 = 0.041(x - 27)
Step-by-step explanation:
y = log3 x; (27, 3)
Step 1
Find the point of tangency.
It's given as (27,3)
Step 2
Find the first derivative, and evaluate it at x=27
Differentiating log3 x.
Note we can't directly differentiate log3 x, we need to convert it to natural log = ln.
Using change of base.
Log3 x = lnx/ln3
So,
d(lnx/ln3)/dx = 1/ln3 × 1/x
f'(x) = 1/xln3
f'(27) = 1/27ln3 = 0.041
The slope of the tangent line at this point is m= 0.041
Step 3
Find the equation of the tangent line at (27,3) with a slope of m=0.041
y−y1 = m(x - x1)
y - 3 = 0.041(x - 27)
The margin of error for the population mean is <span>C) 0.34. Hope that helps.</span>
Answer:
235cm longer
Step-by-step explanation:
convert 6m into centimeters which gets you 600cm so you do this:
600 - 435= 235cm
therefore the garage is 235cm longer than the car.
Answer:
4.05
Step-by-step explanation:
Answer:
Cumulative frequency distribution
Step-by-step explanation:
Cumulative frequency distribution is a form of a frequency distribution that represents the sum of a class and all classes below it. Remember that frequency distribution is an overview of all distinct values (or classes of values) and their respective number of occurrences.