Given:
.
To find:
The value of r.
Solution:
We have,
.
We know that the radius is perpendicular to the tangent at the point of tangency
AD is the tangent and CD is the radius. So, CD is perpendicular to AD at point D, i.e., .
Using Pythagoras theorem, we get
On further simplification, we get
Therefore, the value of r is 9.
Answer:
The estimate is
Step-by-step explanation:
From the question we are told that
The sample mean is
The sample size is n = 24
The standard deviation is
Given that the confidence level is 90% the level of significance is mathematically represented as
Next we obtain the critical value of from the normal distribution table.The value is
The reason we are obtaining critical value of instead of
is because
represents the area under the normal curve where the confidence level interval (
) did not cover which include both the left and right tail while
is just the area of one tail which what we required to calculate the margin of error
NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)
Generally the margin of error is mathematically represented as
substituting values
The estimate of how much the drug will lower a typical patient's systolic blood pressure(using a 90% confidence level) is mathematically represented as
substituting values