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Cloud [144]
2 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]2 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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3(v + 2) + 4 = 13

Mutiply the bracket by 3

(3)(v)= 3v

(3)(2)= 6

3v+6+4= 13

3v+10=13

Move +10 to the other side

Sign changes from +10 to -10

3v+10-10= 13-10

3v= 13-10

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divide both sides by 3

3v/3= 3/3

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4 0
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Answer:

$7,305.50

Step-by-step explanation:

The computation of the FICA tax pay in 2005 is shown below:

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And, Social security tax = 6.2% × 90,000  = $5,580

So, the FICA tax in 2005 is

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7 0
2 years ago
Solve the following system of equations using the elimination method 5x - y = 10 x + 3y = 4​
Naddik [55]

Answer:

5x - y = 10x + 3y = 4

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multiply by -2 in eq 1 in both sides

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10x +3y = 4

eliminate one variable by adding the equations

5y = -4

y = - 4/5

sub the value of y in..1

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5x + 4/5 = 4

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x = 16/25

(x ; y)

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7 0
2 years ago
The length of side X is 36.25 cm to the nearest hundredth of a centimeter what is the length of y
goldenfox [79]

Answer:

<h3>The length of y is 62.82 cm.</h3>

Step-by-step explanation:

We are given a right triangle with an angle 30°.

Opposite side of angle 30° is x and adjacent side is y.

Also, given length of side x=36.25 cm.

In order to find the value of y, we need to apply tangent trigonometrical ratio.

We know,

tan \theta =\frac{Opposite \ Side}{Adjacent \ Side}

Therefore,

tan \theta =\frac{x}{y}

Plugging values of \theta =30^o and x=36.25, we get

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Plugging value of tan 30^o=0.577 in above equation, we get

0.577=\frac{36.25}{y}

On multiplying both sides by y, we get

0.577\times y=\frac{36.25}{y}\times y

0.577y=36.25

Dividing both sides by 0.577, we get

\frac{0.577y}{0.577} =\frac{36.25}{0.577}

y=62.82

<h3>Therefore, the length of y is 62.82 cm.</h3>
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The line segments AA' and BB' are parallel and congruent

Step-by-step explanation:

4 0
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