20. the traffic lights at three different road crossings change after every 48 sec, 72
sec and 108 sec respectively. if they all change simultaneously at 8: 20: 00 hrs,
when will they again change simultaneously ?

21. a merchant has 120 ltrs of and 180 ltrs of two kinds of oil. he wants the sell oil
by filling the two kinds of oil in tins of equal volumes. what is the greatest of such a
tin.

pls answer i have math exam tmrw
ill give 13 points
pls pls pls pls pls pls

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.

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.

the first sequence is an arithmetic sequence.

245

step-by-step explanation:

you add up all the numbers together to get this answer