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andreev551 [17]
3 years ago
8

In a local survey, 100 citizens indicated their opinions on a revision to a local land-use plan. Of the 62 persons giving favora

ble responses, 40 were males. Of the 38 giving unfavorable responses, 15 were males. If one citizen is randomly selected, find the probability that person has a favorable opinion or has an unfavorable opinion
Business
1 answer:
Thepotemich [5.8K]3 years ago
7 0

Answer: The probability that a randomly selected citizen has a favorable or unfavorable opinion is 1 or 100%.

In this question, we have only two answers favorable or unfavorable.

A person can't have both opinions at the same time.

So these events - favorable and unfavorable are mutually exclusive events i.e one event cannot occur when the other occurs.

Let P(F) be the probability of a person who has a favorable opinion

P(UF) be the probability of a person who has an unfavorable opinion

\boldsymbol{\mathbf{P(F) = \frac{Total people with favorable responses}{Total people in the survey}}}

\boldsymbol{\mathbf{P(F) = \frac{62}{100}}}

\boldsymbol{\mathbf{P(UF) = \frac{No. of people with unfavorable opinion}{Total number of people in the survey}}}

\boldsymbol{\mathbf{P(UF) = \frac{38}{100}}}

Now, the probability of either one of two mutually exclusive events occurring is:

\boldsymbol{\mathbf{P(F or UF) = P(F) + P(UF)}}

\boldsymbol{\mathbf{P(F or UF) = \frac{62}{100} + \frac{38}{100} = \frac{100}{100}=1}}


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3 years ago
Friendly’s Quick Loans, Inc., offers you $8.25 today but you must repay $10.45 when you get your paycheck in one week (or else).
Ivahew [28]

Answer:

1,386.67%

Explanation:

Loan Amount = $8.25

Repayment Amount = $10.45

Hence,

Interest for a week = Repayment Amount - Loan Amount

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Interest percentage for a week:

= \frac{Interest\ for\ a\ week}{Loan\ Amount}\times100

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Therefore,

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3 years ago
Activity Levels and Cost Drivers Shroeder Machine Shop has the following activities:
zepelin [54]

Answer:

a. Machine Operation

Unit level, No. of units produced

b. Machine setup

Batch level, No. of batch setup

c. Production scheduling

Batch level, No. of batch setup

d. Material receiving

Unit level, Unit of material used in production of a single unit

e. Research and development

Facility level, Research done and used in development

f. Machine maintenance

Unit level, No. of units made

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Batch level, No. of batched inspected

j. Materials handling

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a. Machine Operation

Unit level, No. of units produced

b. Machine setup

Batch level, No. of batch setup

c. Production scheduling

Batch level, No. of batch setup

d. Material receiving

Unit level, Unit of material used in production of a single unit

e. Research and development

Facility level, Research done and used in development

f. Machine maintenance

Unit level, No. of units made

g. Product design

Product level, Changed product designs

h. Parts administration

Facility level, No. of parts changed

i. Final inspection of a sample of products

Batch level, No. of batched inspected

j. Materials handling

Facility level, Quantity of raw material handled

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