Which statement about this product is true? 0.44×(−534) It is equal to 0 because 0.44 rounded to the nearest whole number is 0, and 0 times any number is 0. It is equal to −534 because 44 is equal to 1, and 1 times any number equals that number. It is greater than −3 because 0.44×534 is less than 12×6. It is less than −534 because multiplying by a number less than 1 gives a smaller number.

For each expression use a property to write an equivalent expression.

Which mathematical statements are true? 1) if 3 is an odd number, then 3 times 3 is an even number. 2) if 6 is less than 7, then 4 is greater than 7. 3) six is divisible by 3, and 10 is a multiple of 2. 4) the average of the data is greater than the largest value in the data, or it’s less than the largest value in the data. 5) the slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value. 6) if an equilateral triangle has equal angles, then all its angles will measure 45°.

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).