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Furkat [3]
3 years ago
10

Rita's company reimburses her expenses on food, lodging, and conveyance during business trips. the company pays $55 a day for fo

od and lodging and $0.45 for each mile traveled. rita drove 300 miles and was reimbursed $2,335. part
a.create an equation that will determine the number of days x on the trip part
b.solve this equation justifying each step with an algebraic property of equality. part
c.how many days did rita spend on this trip? (1 point)
Mathematics
1 answer:
Naya [18.7K]3 years ago
8 0
Let x be the number of days 
Let y be miles travelled 
Let z be total cost 

a) 55x+0.45y=z
55x+0.45(300)=$2,335

b) 55x+135=$2,335 
55x=2335-135
55x=2200
x=2200/55
x=40 

c) She spent 40 days

Hope I helped :) 
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Answer:

(a) 0.48, (b) 0.625, (c) 0.1923

Step-by-step explanation:

First define

Probability a person is a democrat: P(D) = 0.4

Probability a person is a republican: P(R) = 0.6

Probability a person support the measure given that the person is a democrat: P(SM | D) = 0.75

Probability a person support the measure given that the person is a republican: P(SM | R) = 0.3

Now for the Theorem of total probabilities we have

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and for the Bayes' Formula we have

(b) P(D | SM) = P(SM | D)P(D)/[P(SM | D)P(D)+P(SM | R)P(R)] = (0.75)(0.4)/0.48 = 0.625

Now let SMc be the complement of support the measure, i.e.,

P(SMc | D) = 0.25 : Probability a person does not support the measure given that the person is a democrat

P(SMc | R) = 0.7: Probability a person does not support the measure given that the person is a republican,

and also for the Bayes' Formula we have

(c) P(D | SMc) = P(SMc | D)P(D)/[P(SMc | D)P(D)+P(SMc | R)P(R)] = (0.25)(0.4)/[(0.25)(0.4)+(0.7)(0.6)] = 0.1/(0.52)=0.1923

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