Solved on Sep 25, 2023

Compute the sum of 33 times each of the 11 measurements: i=11133xi\sum_{i=1}^{11} 33 x_{i}

STEP 1

Assumptions1. The measurements are given as -44, -53, -18,57, -4, -1, -53,88, -67, -32, -23. These measurements are labeled as x1,x,,x11x_{1}, x_{}, \ldots, x_{11} respectively3. We need to compute the sum of each measurement multiplied by33

STEP 2

We can calculate the sum by multiplying each measurement by33 and then adding them all up. This can be represented asi=11133xi=33x1+33x2++33x11\sum_{i=1}^{11}33 x_{i} =33x_{1} +33x_{2} + \ldots +33x_{11}

STEP 3

Now, plug in the given values for each xix_{i} to calculate the sum.
i=11133xi=33(44)+33(53)+33(18)+33(57)+33()+33(1)+33(53)+33(88)+33(67)+33(32)+33(23)\sum_{i=1}^{11}33 x_{i} =33(-44) +33(-53) +33(-18) +33(57) +33(-) +33(-1) +33(-53) +33(88) +33(-67) +33(-32) +33(-23)

STEP 4

Calculate the sum.
i=11133xi=14521749594+1881132331749+290422111056759\sum_{i=1}^{11}33 x_{i} = -1452 -1749 -594 +1881 -132 -33 -1749 +2904 -2211 -1056 -759

STEP 5

Add up all the values to get the final sum.
i=11133xi=14521749594+1881132331749+29042211105759=810\sum_{i=1}^{11}33 x_{i} = -1452 -1749 -594 +1881 -132 -33 -1749 +2904 -2211 -105 -759 = -810The sum of the measurements, each multiplied by33, is -810.

Was this helpful?
banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ContactInfluencer programPolicyTerms
TwitterInstagramFacebookTikTokDiscord