The mean length of a candy bar is supposed to be 43 millimeters. there is concern that the settings of the machine cutting the bars have changed. test the claim at the .02 level that there has been no change in mean length. the alternate hypothesis is that there has been a change. twelve bars (n = 12) were selected at random and their lengths in millimeters are: 42, 39, 42, 45, 43, 40, 39, 41, 40, 42, 43, and 42. the mean length of the sample is 41.5. the sample standard deviation is 1.784. the population standard deviation is not known. if the computed t = −2.913, has there been a statistically significant change in the mean length of the candy bars?

x=half

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58