Answer:
A1)
Stratified sampling: Here, sampling is performed on element within each stratum( the European store and the United States store. Therefore, The technique of randomly selecting 1,000 employees from a list of all employees at the United States stores and 600 employees form a list of all employees at the European stores is a stratified sampling.
A 11)
Cluster sampling :
It involves dividing total population into groups, which should be a representation of the total population and each identified cluster is treated as a sampling unit, by randomly selecting 8 stores from 800, we have chosen 8 clusters, and all samples in the 8 clusters being sampled signals a single stage cluster design.
B) Advantage : stratified sampling usually saves cost as it encourages a small subset of the population while also encougung representativeness.
Disadvantage : It requires that the experimenter has prior knowledge of the population before being able to group into stratums
Step-by-step explanation:
The work shown in the box is correct.
Answer:
the answer is 15x^8 y^3
Step-by-step explanation:
the area of a rectangle is length times width right? this means you have to multiply the values that represent the length and width. in this case those values would be 5x^6 y^2 and 3x^2 y
step 1. set up your problem
it should look like this:
(5x^6 y^2)(3x^2 y)
step 2. multiply the values with corresponding variables
first, x values
(5x^6)(3x^2)
5×3=15 and x^6 × x^2=x^8 when multiplying exponents you add the powers the numbers are raised to. in this case 6+2=8
you should end up with 15x^8
next, y values
y^2 + y
remember what i said about multiplying exponents? you just add the power the variables are raised to. in this case, 2 and 1. when their is no exponent we just add a 1. so, 2+1=3
you end up with y^3
lastly, combine
15x^8 + y^3 = 15x^8y^3
This question calls for a fraction. In a fraction, the numerator (top number) is the number of parts, while the denominator (bottom number) is the total number of parts. One part is one glass of milk, and there are 12 parts total. So, we get the answer 1/12.
Answer: 1/12
Answer:
11565 km
Step-by-step explanation:
The computation is shown below:
But before reaching the final solution first we need to do the following calculations
The angle lies between the Galapagos and Nauru is
= 90° + 166.50°
= 256.5°
Since the sum of angle is 360 degrees
So the major arc and the minor arc is
= 360° - 256.5°
= 103.50°
Now the angles lies between galapagos islands is
= 180° - 90°
= 90°
And, between the naura island is
= 180° - 166.50°
= 13.5°
Now the total of this two island is
= 90° + 13.5°
= 103.5°
The length is
![= \frac{\pi r }{180^{\circ}} \times \theta\\\\ = \frac{6,400\pi}{180^{\circ}} \times 103.5^{\circ}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%5Cpi%20r%20%7D%7B180%5E%7B%5Ccirc%7D%7D%20%5Ctimes%20%5Ctheta%5C%5C%5C%5C%20%3D%20%5Cfrac%7B6%2C400%5Cpi%7D%7B180%5E%7B%5Ccirc%7D%7D%20%5Ctimes%20103.5%5E%7B%5Ccirc%7D)
= 11565 km