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Cloud [144]
3 years ago
10

Call a household prosperous if its income exceeds $100,000. Call the household educated if the householder completed college. Se

lect an American household at random, and let A be the event that the selected household is prosperous and B the event that it is educated. According to the Current Population Survey, P(A)=0.138, P(B)=0.261, and the probability that a household is both prosperous and educated is P(A and B)=0.082. What is the probability P(A or B) that the household selected is either prosperous or educated?
Mathematics
1 answer:
melisa1 [442]3 years ago
8 0

Answer:  0.317

Step-by-step explanation:

Let A be the event that the selected household is prosperous and B the event that it is educated.

Given : P(A)=0.138,   P(B)=0.261

P(A and B)=0.082

We know that for any events M and N ,

\text{P(M or N)=P(M)+P(N)-P(M or N)}

Thus , \text{P(A or B)=P(A)+P(B)-P(A or B)}

\text{P(A or B)}=0.138+0.261-0.082\\\\\Rightarrow\text{ P(A or B)}=0.317

Hence, the probability P(A or B) that the household selected is either prosperous or educated = 0.317

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Answer:

49,088

Step-by-step explanation:

First you need to find 5.6% of 52,000. Simply multiply 52,000 by 0.056 (change the percent to a decimal) then you get 2,912.

Second, you need to subtract 2,912 from 52,000 which is 49,088

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Alvin is 11 years younger than Elga. The sum of their ages is 43. What is elgas age
Neporo4naja [7]

Answer:

16

Step-by-step explanation:

Lets assume x is Elgas' age

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x=y+11

and the sum of their age is 43

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3 years ago
What is 1 1/3 as a improper fraction
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8 0
3 years ago
A. Suppose you have just inherited a sum of money. Let’s say you choose to invest the money. How much did you inherit? Choose an
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Amount =$48003.20

Step-by-step explanation:

Here apply the compound interest formula;

A=P(1+\frac{r}{n} )^{nt}

where;

P=Principal amount invested = $37500

r=rate of interest as a decimal, 2.5% =0.025

n=number of compounding per year=1

t=time period the amount in invested=10

In our case, the amount after investing will be;

A=37,500(1+0.025)^{10} \\\\A=37,500(1.025)^{10} \\\\A=48003.20

Interest earned after the period= $48003.20-$37500 =$10503.20

Learn More

Compound Interest formula application: brainly.com/question/7014337

Keywords: inherit, sum, money, interest

#LearnwithBrainly

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