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Margaret [11]
3 years ago
12

Maureen, Frank, Tashia, Zane, Eric, and Wesley are addressing envelopes for volunteer work at a local charity. They were given ¾

of an entire mailing to address to be evenly divided among six of them. What fraction of the entire mailing does each person address?
Mathematics
1 answer:
jolli1 [7]3 years ago
6 0

Answer:

The fraction of the entire mail each person address = 1/8

Step-by-step explanation:

Given that:

number of people addressing envelopes = 6

If they gave out 3/4 of an entire mailing address.

Then, the amount of mailing not addressed is:

= 1 - 3/4

= \dfrac{4-3}{4}

= 1/4

If 6 people shared 3/4 of an entire mailing to address evenly.

Then: each person gets:

=\dfrac{3}{4} \div 6

=\dfrac{3}{4} \times \dfrac{1}{ 6}

= 1/8

The fraction of the entire mail each person address = 1/8

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When Colton commutes to work the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a s
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Answer:

The Probability that commute will be between 33 and 35 minutes to the nearest tenth =  0.0189 ≅1.89%  

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

<em>Given mean of the Population(μ) = 41 minutes</em>

<em>Given standard deviation of the Population (σ) =  3 minutes</em>

<em>let  'X' be the random variable of Normal distribution</em>

Let X = 33

Z = \frac{x -mean}{S.D} =\frac{33-41}{3} = -2.66

let X = 35

Z = \frac{x -mean}{S.D} =\frac{35-41}{3} = -2

<u><em>Step(ii)</em></u>:-

The Probability that commute will be between 33 and 35 minutes to the nearest tenth

P(33≤ X≤35) = P(-2.66 ≤X≤-2)

                     = P( X≤-2) - P(X≤-2.66)

                     =  0.5 - A(-2) - (0.5 - A(-2.66)

                     =   0.5 -0.4772 - (0.5 -0.4961)  (From normal table)

                    = 0.5 -0.4772 - 0.5 +0.4961

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<em>The Probability that commute will be between 33 and 35 minutes to the nearest tenth =  0.0189 ≅1.89%                 </em>  

                     

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Answer:

See Explanation

Step-by-step explanation:

According to the Question,

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