A bakery randomly surveyed 100 of its customers and found that the average quality score given to its chocolate chip cookies was 83 with a standard deviation of 7. The bakery changed its chocolate chip cookie recipe to result in a softer cookie and then a month later randomly surveyed 113 of its customers and found the average quality score given to its new chocolate chip cookies was 88 with a standard deviation of 9. Can the bakery be 90% confident that the increase in the quality score was not due to random sampling error

25

step-by-step explanation:

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.