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Molodets [167]
3 years ago
8

Calculating the degrees of freedom, the sample variance, and the estimated standard error for evaluations.

Mathematics
1 answer:
ki77a [65]3 years ago
4 0

Answer:

The variance is  \sigma ^2  =25

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  21

     The sum of squares is SS =  500

Generally the variance is mathematically represented as

           \sigma ^2  = \frac{SS}{n- 1}

substituting values

          \sigma ^2  = \frac{ 500}{21- 1}

          \sigma ^2  =25

   

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There are 20 blue dye 6 red dye and 14 green dye what is the probability of me selecting the green dye
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Answer:

\boxed {\boxed {\sf \frac{7}{20}  \ or \ 35 \% }}

Step-by-step explanation:

Probability tells us how likely something is to occur. It is found by dividing the favorable outcomes by the total outcomes.

P=\frac{favorable \ outcomes}{total \ outcomes}

In this question, a favorable outcome is selecting a green dye. The total outcomes are all the dyes.

  • Favorable outcomes (green dye): 14
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P(green \ dye)=\frac{14}{40}

Reduce the fraction. Both the numerator and denominator can be divided by 2.

P(green \ dye) =\frac{14/2}{40/2}

P (green \ dye)=\frac {7}{20}

This is the probabilty as a fraction. It can also be written as a percent. Divide the fraction, then multiply by 100.

P(green \ dye)=\frac{7}{20}*100

P(green \ dye)=0.35 *100

P(green \ dye)=35 =35 \%

The probablity of selecting a green dye is <u>7/20 or 35%</u>

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