Select all the correct answers.
a supermarket is testing brands of microwave popcorn. for each brand, they recorded the percentage of corn kernels in a package that popped in the recommended cooking time. let a be the data set of percentages listed below.

a = {91, 94, 89, 93, 87, 92, 86, 87, 92, 91}

the supermarket then realized they missed a brand. when the new brand was cooked, only 74% of its kernels popped.

let b be the data set of percentages for all 11 packages, including the package where the least kernels popped.

select the statements that are true.

including the percentage for the package where the least kernels popped causes the spread of the data to decrease.
the mean of a is the same as the mean of b.
including the percentage for the package where the least kernels popped causes the center of the data to increase.
the median of a is the same as the median of b.
the standard deviation of b is greater than the standard deviation of a.
the interquartile range of a is the same as the interquartile range of b.

(c) compare the results of parts (a) and (b). in general, how do you think the mode, median, and mean are affected when each data value in a set is multiplied by the same constant? multiplying each data value by the same constant c results in the mode, median, and mean increasing by a factor of c. multiplying each data value by the same constant c results in the mode, median, and mean remaining the same. multiplying each data value by the same constant c results in the mode, median, and mean decreasing by a factor of c. there is no distinct pattern when each data value is multiplied by the same constant. (d) suppose you have information about average heights of a random sample of airline passengers. the mode is 65 inches, the median is 72 inches, and the mean is 65 inches. to convert the data into centimeters, multiply each data value by 2.54. what are the values of the mode, median, and mean in centimeters? (enter your answers to two decimal places.) mode cm median cm mean cm in this problem, we explore the effect on the mean, median, and mode of multiplying each data value by the same number. consider the following data set 7, 7, 8, 11, 15. (a) compute the mode, median, and mean. (enter your answers to one (1) decimal places.) mean value = median = mode = (b) multiply 3 to each of the data values. compute the mode, median, and mean. (enter your answers to one (1) decimal places.) mean value = median = mode = --

Which numbers have the same absolute value? choose all that apply. asap will mark at brainliest

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?