W=l-8
a=9
a=lw
9=(l-8)l
9=l²-8l
0=l²-8l-9
factor
0=(l-9)(l+1)
set to zero
l-9=0
l=9
l+1=0
l=-1, false length can't be negative
l=9
the length is 9 units long
Answer: D. two-sample z-test for a difference in population proportions
Step-by-step explanation:
The options for the given questions were missing. The options are as follows:
A one-sample z-test for a sample proportion
B one-sample z-test for a population proportion
A
C two-sample z-test for a difference in sample proportions
D two-sample z-test for a difference in population proportions
Solution:
Sample proportions are used to estimate population proportions.
We are given the sample proportion of students from one state who ordered a yearbook = 70/150
We are also given the sample proportion of students from the other state who ordered a yearbook = 65/100
Since there are 2 samples and we want to investigate if there is a difference between 2 population of students,
Therefore, the most appropriate method for analyzing the results is
D. two-sample z-test for a difference in population proportions
Answer:
The distance between house to work is 13 miles .
Step-by-step explanation:
Given as :
The distance that man travel to north = OA = 5 miles
Now, From north ,man turn right and travel to east
So, The distance that man travel to east = AB = 12 miles
Let The distance between house to work = x miles
So, x miles is the displacement from north to east direction
i.e x = 
Or, x = 
Or, x = 
∴ x = 13
So, The distance between house to work = x = 13 miles
Hence, The distance between house to work is 13 miles . Answer
The order from least to greatest is:
E, D, A, B, C
<u>Given</u>:
Given that O is the center of the circle.
The radius of the circle is 3 m.
The measure of ∠AOB is 30°
We need to determine the length of the major arc ACB
<u>Measure of major ∠AOB:</u>
The measure of major angle AOB can be determined by subtracting 360° and 30°
Thus, we have;


Thus, the measure of major angle is 330°
<u>Length of the major arc ACB:</u>
The length of the major arc ACB can be determined using the formula,
<u></u>
<u></u>
Substituting r = 3 and
, we get;



Thus, the length of the major arc ACB is 5.5π m