The content of the square root must be greater than or equal to zero. Determine the conditions on x that make this true.
As written, you require
.. x ≥ 0
If you intend
.. √(x -1) ∈ ℝ
Then
.. x -1 ≥ 0
Solve this inequality by adding 1.
.. x ≥ 1
The formulas:

Expand the expression:

Plug the values into the expression:
Answer:
a) 95% confidence interval estimate of the true weight is (3.026, 3.274)
b) 99% confidence interval estimate of the true weight is (2.944, 3.356)
Step-by-step explanation:
Confidence Interval can be calculated using M±ME where
- M is the mean of five successive weightings (3.150)
- ME is the margin of error from the mean
And margin of error (ME) can be calculated using the formula
ME=
where
- t is the corresponding statistic in the given confidence level and degrees of freedom(t-score)
- s is the standard deviation of the random error (0.1)
Using the numbers 95% confidence interval estimate of the true weight is:
3.150±
≈3.150±0.124
And 99% confidence interval estimate of the true weight is:
3.150±
≈3.150±0.206

We need to find thr rate of change (slope) of the line joining these two points ~





Slope of the line (m) joining the two points is 2 ~
Answer:
x 0.4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.