1. Each student at a school has a student identification number. Counselors have a computer generate 50 random identification numbers and those students are asked to take a survey.

What type of sampling is this?

Choose 1 *

Simple random sampling

O Stratified random sampling

O Cluster random sampling

Systematic random sampling

Simple random sampling

Step-by-step explanation:

From the sampling description explained above, the sampling method used is a simple random sampling method whereby a small subset or group is chosen from a larger set or population with all individuals in the population having exactly equal chance. The entire sample during a simple random sampling does not have to partitioned or subdivided into groups or subgroups. All individual samples are entirely sampled together with all having the sample probability of being chosen. This way the samples are representative of the entire population. All students in the scenario were sampled with any subdivision. Hence, we have a simple random sampling method.

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step-by-step explanation:

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the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12