Can 12:18 be simplified
2 answers:
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Answer:
1,539
Step-by-step explanation:
Using Simple Random Sampling in an infinite population (this is such a large population that we do not know the exact number) we have that the sample size should be the nearest integer to
where
<em>Z= the z-score corresponding to the confidence level, in this case 90%, so Z=1.645 (this means that the area under the Normal N(0,1) between [-1.645,1.645] is 90%=0.9) </em>
<em>p= the proportion of young urban people (ages 21 to 35 years) who go to at least 3 concerts a year= 35% = 0.35 </em>
<em>q = 1-p = 0.65 </em>
<em>e = the error proportion = 2% = 0.02 </em>
Making the calculations
So, the sample size should be 1,539 young urban people (ages 21 to 35 years)
Answer:
(-24, -8)
Step-by-step explanation:
Let us recall that when we have a function f
<em>if the gradient of f at a given point (x,y) exists, then the gradient of f at this point (x,y) gives the direction of maximum rate of increasing and minus the gradient of f at this point gives the direction of maximum rate of decreasing</em>. That is
at the point (x,y) gives the direction of maximum rate of increasing
at the point (x,y) gives the direction of maximum rate of decreasing
In this case we have
and we want to find the direction of fastest speed of decreasing at the point (-3,-2)
at the point (-3,-2) minus the gradient equals
hence the vector (-24,-8) points in the direction with the greatest rate of decreasing, and they should start their descent in that direction.