Adults tend to believe that a majority of teenagers sleep in on Saturdays, but maybe that is a misconception. A random sample of 120 teenagers showed that 48 slept in the previous Saturday, Use the computer output provided
below to determine if there is convincing evidence at the a = 0,05 level that the true proportion of teenagers who
slept in on the previous Saturday is less than 0.5,
Use this computer output to answer the questions,
Based upon the 95% confidence interval, it is reasonable to claim that the true proportion of all teenagers who slept
in on the previous Saturday is between which two values?
O 0.3124 and 0.6876
O 0.3124 and 0.4877
O 0.4877 and 0.6876
O 0.5123 and 0.6876

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

the final price would be 29.6925

step-by-step explanation:

39.59 minus 25% equals 29.6925

d i think

step-by-step explanation:

b. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x  

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer:   y=4x−16

hope i'm right