
Write the parent function in the standard form I.e.

Where,




Answer:
The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).
Step-by-step explanation:
The formula for estimating the population proportion by a confidence interval is given by:

Where:
is the sample's proportion of success, which in this case is the people that regularly lie during surveys,
is the critical value needed to find the tails of distribution related to the confidence level,
is the sample's size.
<u>First</u> we compute the
value:

<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

Now we can replace in the formula with the obtained values to compute the confidence interval:

You want one of the values in the ratio to be one for a unit rate. First, write out the ratio. It is 70 miles/2 hours. It's better not to include decimal numbers when you write a ratio when you can, so we're going to make the hours the unit rate. To make 2 -> 1 hour, divide both sides of the ratio by 2. 70/2 = 35.
The unit rate is 35 mi./hr.
Hope that helped you.
Answer:x=3
Step-by-step explanation:
Add 4 to both sides and get 3x=5+4
Simplify 5+4 to 9 and get 3x=9
Divide both sides by 3 and get x=9/3
Simplify 9/3 to 3 and get the answer x=3
<h3><u>
Answer:</u></h3>
The formula determine the distance from C to D is:

<h3><u>
Step-by-step explanation:</u></h3>
The formula that can be used to determine the distance from point C to point D is:

We know that distance between two points A(a,b) and B(c,d) is equal to the length of the line segment AB and is calculated by the help of the formula:

So, here we have:
(a,b)=(a,b) and (c,d)=(0,b)