Answer:
The correct option is 2.
Step-by-step explanation:
The given function is
It is an logarithmic function. If a logarithmic function is defined as
Where, a is base of log and b>0 is constant.
Then, the domain of the function is all real numbers greater than 0, because the logarithmic function is not defined for any negative number.
Since the given function is a logarithmic function, therefore the domain of the function is all real numbers not equal to 0.
Therefore option 2 is correct.
Answer:
The lower bound of a 99% C.I for the proportion of defectives = 0.422
Step-by-step explanation:
From the given information:
The point estimate = sample proportion
= 0.55
At Confidence interval of 99%, the level of significance = 1 - 0.99
= 0.01
Then the margin of error
E = 0.128156
E ≅ 0.128
At 99% C.I for the population proportion p is:
= 0.55 - 0.128
= 0.422
Thus, the lower bound of a 99% C.I for the proportion of defectives = 0.422
Answer:
Part 1) The exact value of the arc length is
Part 2) The approximate value of the arc length is
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference of a circle is equal to
we have
substitute
step 2
Find the exact value of the arc length by a central angle of 150 degrees
Remember that the circumference of a circle subtends a central angle of 360 degrees
by proportion
step 3
Find the approximate value of the arc length
To find the approximate value, assume
substitute