A) Choosing a <em>stratified random sample</em> might be preferable to an <em>SRS </em>because;
<em><u>Stratified random sampling would divide the population into stratas but the </u></em>
<em><u>SRS would not do so. The strata would be the type of room namely those </u></em>
<em><u>with water view and those with golf view.</u></em>
B) The reason why a cluster sample would be a simpler option is because;
<u><em>It will divide the population into multiple clusters that makes it easier to </em></u>
<u><em>work with unlike the SRS that generalizes. The clusters would be each of </em></u>
<u><em>the 30 floors.</em></u>
We are told that the manager wanted to select 120 rooms and carry out a survey on each registered guest by asking how satisfied they were with the hotel. He decided to use a sampling method called SRS which means Simple Random Sampling.
Simple random sampling is defined as a sampling method where individuals or objects are selected randomly from a population thereby given each person or object an equal chance of selection.
A) Stratified Random sampling is a method of sampling that divides the population into smaller groups known as objects/stata. In this case Stratified random sampling would be preferred to SRS because the hotel rooms are divided into two types namely those that can view the water and those that can view the golf course and as such the Stratified random sampling would divide the population but the SRS would not do so.
B) Cluster sampling is when the population is divided into multiple groups known for assessment. The reason why it would be a simpler option is because there are 30 floors and they can be classified as clusters and surveyed per floor.
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Answer:
A. 54
Step-by-step explanation:
The area of a parallelogram is the product of its base length (9) and height (6). The height is measured perpendicular to the base. That is why the height it 6, not 6.06.
A = bh = 9·6 = 54
Answer:
2x^2 +5x-3
Step-by-step explanation:
(x+3)(2x-1)
FOIL
first :(x*2x) = 2x^2
outer: x*-1 = -x
inner: 3*2x = 6x
last: -1 *3 = -3
Add together
2x^2 -x+6x-3
Combine like terms
2x^2 +5x-3
($3.25x2)+$2.25+$1.50+($0.90x2)=$13.05
$13.05=100%
119%=$15.529=$15.53
Answer:
Step-by-step explanation:
To find the equation of a sphere with center (2,-3,6) that touch
(a) the xy-plane,
The equation of xy plane is z=0
Hence the radius would be distance from z=0 perpendicular to xy plane = z coordinate =6
Equation is
![(x-2)^2+(y+3)^2+(z-6)^2 =36](https://tex.z-dn.net/?f=%28x-2%29%5E2%2B%28y%2B3%29%5E2%2B%28z-6%29%5E2%20%3D36)
(b) the yz-plane,
The equation of yz plane is x=0
Hence the radius would be distance from x=0 perpendicular to yz plane = x coordinate =2
Equation is
![(x-2)^2+(y+3)^2+(z-6)^2 =4](https://tex.z-dn.net/?f=%28x-2%29%5E2%2B%28y%2B3%29%5E2%2B%28z-6%29%5E2%20%3D4)
(c) the xz-plane.
The equation of zx plane is y=0
Hence the radius would be distance from y=0 perpendicular to zx plane = |y coordinate| =3
Equation is
![(x-2)^2+(y+3)^2+(z-6)^2 =9](https://tex.z-dn.net/?f=%28x-2%29%5E2%2B%28y%2B3%29%5E2%2B%28z-6%29%5E2%20%3D9)