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An investor wants to decide on whether to invest in a certain institution or not. He requested the manager to provide report about the institution's average growing to the report the two are above 40 millions for the past 40 months. Hence determine whether the investor in the institution or not.

Mathematics

ScanSolve AI Answer

Answer

Mwekezaji anapaswa kuwekeza\text{Mwekezaji anapaswa kuwekeza}

Step-by-step solution

4 steps
  1. Orodhesha data ya faida ghafi (katika mamilioni).

    Data ya faida kwa miezi 40 iliyopita ni:
    56, 31, 47, 43, 41, 47, 33, 48
    63, 20, 43, 50, 39, 52, 49, 42
    65, 37, 45, 49, 47, 45, 57, 54
    61, 40, 48, 32, 52, 53, 37, 55
    57, 45, 41, 51, 35, 67, 60, 44

  2. Kokotoa jumla ya faida zote (∑x\sum x).

    Kuna data pointi 40.

    ∑x=56+31+47+43+41+47+33+48+63+20+43+50+39+52+49+42+65+37+45+49+47+45+57+54+61+40+48+32+52+53+37+55+57+45+41+51+35+67+60+44\sum x = 56+31+47+43+41+47+33+48 + 63+20+43+50+39+52+49+42 + 65+37+45+49+47+45+57+54 + 61+40+48+32+52+53+37+55 + 57+45+41+51+35+67+60+44 ∑x=1881\sum x = 1881
  3. Kokotoa wastani wa faida (xˉ\bar{x}).

    Wastani unakokotolewa kwa kutumia fomula:

    xˉ=∑xn\bar{x} = \frac{\sum x}{n}

    Ambapo nn ni idadi ya data pointi, ambayo ni 40.

    xˉ=188140\bar{x} = \frac{1881}{40} xˉ=47.025\bar{x} = 47.025

    Wastani wa faida ni 47.025 milioni.

  4. Linganisha wastani na sharti la mwekezaji na toa uamuzi.

    Mwekezaji anataka kuwekeza ikiwa wastani wa faida ni juu ya milioni 40.
    Kutoka kwa hesabu yetu, wastani wa faida ni milioni 47.025.
    Kwa kuwa 47.025>4047.025 > 40, sharti la mwekezaji limetimizwa.
    Kwa hivyo, mwekezaji anapaswa kuwekeza katika taasisi hiyo.

    Uamuzi: Mwekezaji anapaswa kuwekeza\text{Mwekezaji anapaswa kuwekeza}

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