Solution :
Sampling may be defined as the technique of selecting the individual members or the subset of the population to make a statistical inferences and estimates the characteristics of the entire population.
There are several sampling methods. This includes : Systematic sampling, clustered sampling, stratified sampling, quota sampling, judgement sampling, random sampling, convenience sampling and many more.
In the context, the sampling methods for each of the descriptions are :
a). The researcher use computer program to randomly choose a sample of 30 mice of the 1000 mice for using her study
--- Simple Random
b). The researcher chose the 1st 30 mice as she can reach the door to the mouse room
--- Convenience sampling
c). The mice those whose are kept in the cages on 10 various shelves in mouse room. The researcher or the experimenter chose the three mice from each shelve.
---- Stratified sampling
d). Each of the cage have 5 mice and the researcher randomly chooses 6 cages for her study
----- Cluster sampling
e). The researcher generates the list of the identification numbers which has been sorted from the smallest to the largest. The researcher randomly picks 1 mouse form the list and selects every 4 mouse until the researcher has 30 mice.
---- Systematic sampling
Answer:
Approximately 
.
Step-by-step explanation:
The velocity of an object is the rate at which its position changes. In other words, the velocity of an object is equal to the first derivative of its position, with respect to time.
Note that the arrow here is launched upwards. (Assume that the effect of wind on Mars is negligible.) There would be motion in the horizontal direction. The horizontal position of this arrow will stays the same. On the other hand, the vertical position of this arrow is the same as its height: 
.
Apply the power rule to find the first derivative of this 
with respect to time 
.
By the power rule:
- the first derivative of (same as
- the first derivative of
(same as to the second power) with respect to
Therefore:
![\begin{aligned}\frac{dy}{d t} &= \frac{d}{d t}\left[62 \, t - 1.86\, t^2\right] \\ &= 62\,\left(\frac{d}{d t}\left[t\right]\right) - 1.86\, \left(\frac{d}{d t}\left[t^2\right]\right) \\ &= 62 \times 1 - 1.86\times\left(2\, t) = 62 - 3.72\, t\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cfrac%7Bdy%7D%7Bd%20t%7D%20%26%3D%20%5Cfrac%7Bd%7D%7Bd%20t%7D%5Cleft%5B62%20%5C%2C%20t%20-%201.86%5C%2C%20t%5E2%5Cright%5D%20%5C%5C%20%26%3D%2062%5C%2C%5Cleft%28%5Cfrac%7Bd%7D%7Bd%20t%7D%5Cleft%5Bt%5Cright%5D%5Cright%29%20-%201.86%5C%2C%20%5Cleft%28%5Cfrac%7Bd%7D%7Bd%20t%7D%5Cleft%5Bt%5E2%5Cright%5D%5Cright%29%20%5C%5C%20%26%3D%2062%20%5Ctimes%201%20-%201.86%5Ctimes%5Cleft%282%5C%2C%20t%29%20%3D%2062%20-%203.72%5C%2C%20t%5Cend%7Baligned%7D)
.
In other words, the (vertical) velocity of this arrow at time would be 
meters per second.
Evaluate this expression for 
to find the (vertical) velocity of this arrow at that moment: 
.
Answer:x>-4
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Answer:
*4
Step-by-step explanation:
0.3lb a day for a week is 0.3 x 7 wich equals 2.1
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