Answer:
80*
80*
75*
120*
Step-by-step explanation:
both angle 1 and 2 for the first image have the same value as the other angle of 80* because it is a set of parallel lines and one line going through it.
1 on the next set of images is 75* because is is an alternate exterior angle.
2 of the last set of images is 120* because it is same side interior angles.
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.
Answer:
i would say true
Step-by-step explanation: