Answer:
(0.4958, 0.7422)
Step-by-step explanation:
Let p be the true proportion of water specimens that contain detectable levels of lead. The point estimate for p is 
. The estimated standard deviation is given by 
. Because we have a large sample, the 90% confidence interval for p is given by 
where 
is the value that satisfies that above this and under the standard normal density there is an area of 0.05. So, the confidence interval is 
, i.e., (0.4958, 0.7422).
Answer:
Converse: Alternate Interior Angles Converse
Step-by-step explanation:
By the Alternate Interior Angles Converse, if 
, then l || m.
Use the equation to solve for x as follows:
Subtract 9x from each side
Add 23 to both sides
Divide both sides by 5
y=-3 and then x=-1 =-3:-1
The Slope of lines parallel to line is 1/2 and the Slope of lines perpendicular to line is -2.
<h3>What is the equation of a straight line ?</h3>
An equation that can be written in the form of y = mx+c
where m is the slope of the line
and c is the intercept on y axis
The equation given in the question is
y=1/2x−7
in this the slope = 1/2
Intercept = -7
For parallel Lines
For a parallel line , the slope of the line is same
and is given by m = 1/2
For a perpendicular line
Slope will be equal to
-1/m
here -1/m = -2
Therefore the slope for perpendicular line is -2.
To know more about Straight Line equation
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The Taylor series is defined by:
Let a = 0.
Then its just a matter of finding derivatives and determining how many terms is needed for the series.
Derivatives can be found using product rule:
Do this successively to n = 6.
Plug in x=0 and sub into taylor series:
If more terms are needed simply continue the recursive derivative formula and add to taylor series.
