Triangle ABC is isosceles a= 56 degrees work out three possible values of angle B

def: -in an isosceles triangle two of its angles measure the same

- the sum of all angles in a triangle is 180°

case1: if angle a measures the same with another angle in the triangle

=>angle1=56

angle2=180-2*56=180-112=68°

from this case we extract 2 posibilities:

B=56° or B=68°

case2: if the other 2 angles beside a measure the same

angle1=angle2=(180-56)/2=62°

from this case we e extract one posibility:

B=62°

im guessing (23,14). hope this : )

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.