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Stolb23 [73]
2 years ago
10

An office has 30 computers. Seventeen of the 30 are Macintosh, and the remaining thirteen are windows. Two computers are randoml

y selected without replacement. What is the probability that the sample contains exactly one windows machine and exactly one Macintosh? If needed, round to FOUR decimal places. Pr(One Widows and One Macintosh) = ___________
Mathematics
1 answer:
Alex Ar [27]2 years ago
6 0

Answer:

0.5085

Step-by-step explanation:

Given that an office has 30 computers. Seventeen of the 30 are Macintosh, and the remaining thirteen are windows.

When two computers are randomly selected without replacement

no of ways of selection = 60C2 = 1770

No of ways of selecting one window and one Mac = 30C1(30C1) = 900

Prob that the sample contains exactly one windows machine and exactly one Macintosh=\frac{900}{1770} =0.5085

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8 books with 2 sheets each and 1 extra sheet as leftover
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G=4cm-3m solve for m
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m • (g4c - 3)

(1):g4 was replaced by g^4.

Pulling out like terms:

2.1:Pull out like factors:

g4cm - 3m = m • (g4c - 3)

Trying to factor as a Difference of Squares :

2.2:Factoring: g4c - 3

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2 years ago
A car uses 125 gallons of gasoline to travel 5034 miles. How far can the car travel on 1 gallon of gasoline? please answer :(
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If it takes 125 gallons to go 5034 miles, then to find how far 1 gallon goes, we divide 5034/125=40.272 miles. Therefore your answer is 40.272miles a gallon
4 0
2 years ago
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Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2
ollegr [7]

Answer:

2x^2+8x-30 represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.

Step-by-step explanation:

Perimeter is defined as the sum of sides.

For a rectangle having dimension length 'L' and breadth 'B' Since, rectangle has two sides equal.

Perimeter of rectangle = 2 ( length + breadth )

Here, given rectangle has dimension

Length = 2x^2-16 and breadth = -x^2+4x+1

Thus, perimeter of rectangle = 2(2x^2-16+(-x^2+4x+1))

                                              =2(2x^2-16-x^2+4x+1)

                                               =2(x^2+4x-15)

                                                =2x^2+8x-30

Thus, perimeter of rectangle is 2x^2+8x-30   ........(1)

Perimeter of rectangle , when x = 3,

Put x= 3 in (1) ,

2x^2+8x-30\Rightarrow 2(3)^2+8(3)-30 \Rightarrow 18+24-30=12

Thus, 2x^2+8x-30 represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.




5 0
2 years ago
Read 2 more answers
A commuter railway has 800 passengers a day and charges each one 2 dollars. ?
Fiesta28 [93]

Answer:

I= -20p^2 + 840p

Step-by-step explanation:

When the ticket price is $2 there are 800 passengers daily, but every $0.1 increase in ticket price the number of passengers will be decreased by 2.  

You can put information into these equations of:

passenger- = (800-2x)

ticket price= p = $2 + 0.1x

Income is calculated by multiplying the number of the passenger with the ticket price. The answer will be expressed in terms of the ticket price, so we need to remove x from the passenger equation.

p= $2 +0.1x

p-$2 = 0.1x

x= 10p- $20

If  p= ticket price, the function for the number of passengers it will be:

passenger = (800-2x)

passenger = 800- 2(10p- $20)

passenger =800- 20p+40

passenger =840- 20p

The function of I will be:

I= passenger x ticket price

I=  840- 20p * p

I= -20p^2 + 840p

4 0
2 years ago
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