Ardem collected data from a class survey. he then randomly selected samples of five responses to generate four samples. survey data sample 1 4 5 2 4 3 sample 2 2 2 6 5 7 sample 3 4 6 3 4 1 sample 4 5 2 4 3 6 using his four samples, between what two numbers will ardem’s actual population mean lie? 1 and 6 2 and 5 3.6 and 4.4 4.0 and 4.4

between 3.6 and 4.4

Step-by-step explanation:

Solution: The sample mean of sample 1 is:

The sample mean of sample 2 is:

The sample mean of sample 3 is:

The sample mean of sample 4 is:

The minimum sample mean of the four sample means is 3.6 and maximum sample mean of the four sample means is 4.4.

Therefore, using  his four samples, between 3.6 and 4.4 will Ardem's actual population mean lie.

Hence the option 3.6 and 4.4 is correct

the last choice

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4