Answer:
The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the z-score that has a p-value of
.
Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.
This means that 
90% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).
5/10 + 1/3
15/30 + 10/30 = 25/30 = 5/6
Answer : 5/6 in its simplified form
The volume of titanium is 20.86 cubic inches
<em><u>Solution:</u></em>
The volume is given by formula:

From given,
Density of titanium = 4.51 
Mass = 3.4 lb
Let us convert the mass to grams
1 pound = 453.592 grams
Therefore, 3.4 pound is equal to:

Now substitute the values into formula:

Let us convert cubic centimeter to cubic inches
1 cubic centimeter = 0.0610237 cubic inches
Therefore,

Thus volume of titanium is 20.86 cubic inches
Answer:
feet
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Step-by-step explanation:
Given
above Jasmin
below Quinn
Required
Determine Maddy's position relative to Quinn's
From the given parameter, one can easily deduce that Quinn is in between Maddy and Jasmin (See attachment)
Using the attachment as a point of reference;


The relationship between x, y and z is

Make y the subject of formula

Substitute the values of z and x

Convert to improper fractions

Take LCM



<em>Hence; Maddy's position relative to Quinn's is </em>
<em> feet</em>