Indicate which of the following sentences are statements. (select all that apply.) (a) 256 = 27 1,024 is the smallest four-digit number that is a perfect square.(b) x = 27 (c) he is a mathematics major.

The answer is A  and the option B= 1,024 is the smallest ( I see its an option too)

Step-by-step explanation:

A  statement is a proposition which we can determine if its true or false. An easy way that we can know if the statement is correctly written is if we can establish a mathematical proof with the info given or decide with no margin or possibility of error.

Option A can be easily determined as not true only from the mathematical expression by definition

Option 1024 IS the smallest four ..  may also be determined as true or false by estimating the real roots of four digit numbers.

X= 27 is can not be proven and given a true false determination as its a random assignation of the value of a variable as well as he

Option C is not a mathematical statement but is a normal statement because can be determined if true or wrong.

answer: you will have more water.

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.