Graph BCD with b(0,6), C(2,-5), D(-8,-1), then order the angle measures from least to greatest

9514 1404 393

  C, B, D

Step-by-step explanation:

We can estimate the relative lengths of the segments using the difference of their coordinates:

  BC = (2-0, -5-6) = (2, -11)

  CD = (-8-2, -1-(-5)) = (-10, 4)

  DB = (0-(-8), 6-(-1)) = (8, 7)

Then the lengths of the segments will be ...

  BC = √(2^2 +11^2) = √125

  CD = √(10^2 +4^2) = √116

  DB = √(8^2 +7^2) = √113

DB is the shortest segment, so opposite the smallest angle, C.

The next-shortest segment is CD, opposite angle B.

The longest segment is BC, opposite angle D.

In order from least measure to greatest, the angles are C, B, D.

10 b/c 5*2 =10

step-by-step explanation:

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.