Studdy AI Logo
Math

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

Studdy Solution

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 as∑i=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=−1452−1749−594+1881−132−33−1749+2904−2211−1056−759\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=−1452−1749−594+1881−132−33−1749+2904−2211−105−759=−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?

Studdy solves anything!

banner

Start learning now

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

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord