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Mrac [35]
3 years ago
5

In a train yard, there are 6 flat cars, 7 boxcars, and 3 livestock cars. A train is made up of 9 cars. Which would you use to fi

nd the number of ways the train could be made up?
A. 16P9

B. 16P7

C. 9P16

D. 9P7
Mathematics
2 answers:
zheka24 [161]3 years ago
5 0

the answer for this question isC.9p16.

ollegr [7]3 years ago
3 0

Answer:

Option A

Step-by-step explanation:

In a train yard there are 6 flat cars, 7 box-cars and 3 livestock cars.

So total number of cars = 6 + 7 + 3

                                       = 16

Now a train is to be made by 9 cars, out of 16 cars.

So number of ways the train can be made up will be =^{n}P_{r}

where n = 16 and r = 9

so number of ways =^{16}P_{9}

Option A is the answer.

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A department store surveyed 428 shoppers, and the following information was obtained: 216 shoppers made a purchase, and 294 were
Maurinko [17]

Answer:

(a) 169

(b) 341

(c) 125

(d) 87

Step-by-step explanation:

Consider the Venn diagram below.

The total number of shoppers surveyed is, <em>N</em> = 428.

Number of shoppers who made a purchase, <em>n</em> (P) = 216

Number of shoppers who were satisfied with the service they received,

<em>n</em> (S) = 294

Number of shoppers who made a purchase but were not satisfied with the service, n(S^{c}\cap P) = 47

(a)

The number of shoppers who made a purchase and were satisfied with the service = <em>n</em> (S ∩ P)

             n(S\cap P)=n(P)-n(S^{c}\cap P)\\=216-47\\=169

(b)

The numbers of shoppers who made a purchase or were satisfied with the service = <em>n</em> (P ∪ S)

               n(P\cup S)=n(P)+n(S)-n(P\cap S)\\=n(P)+n(S)-n(S\cap P)\\=216+294-169\\=341

(c)

The numbers of shoppers who were satisfied with the service but did not make a purchase = n(S\cap P^{c})

n (S\cap P^{c} ) = n (S) - n (S \cap P)\\=294-169\\=125

(d)

The number of shoppers who were not satisfied and did not make a purchase  = n(S^{c}\cap P^{c})

n(S^{c}\cap P^{c})=N-n(S\cup P)\\=N-n(P\cup S)\\=428-341\\=87

6 0
3 years ago
A camera manufacturer spends $2,000 each day for overhead expenses plus $9 per camera for labor and materials. The cameras sell
hjlf
A) let the number of cameras sold per day for breakeven be x

Total daily cost = 2000 + 9x

Total daily revenue = 17x

therefore for just covering expenses both cost and revenue must be equal

2000 + 9x = 17x

2000 = 17x - 9x = 8x

x = 2000/8 = 250 cameras


b) increasing production by 50 cameras per day will give a daily profit of;

50 * (17 - 9) = 50 * 8 = $400 (seeing that the fixed daily cost of $2000 remains unchanged)


It's a
6 0
3 years ago
A company manufactures two products. A and B on two machines, I and II. It has been determined that the company will realize a p
Andrews [41]

Answer:

product A on machine 1 would make 27 units (rounded down) 81 dollars profit.

product A on machine 2 would make 25 units (rounded down) 75 dollars profit.

product b on machine 1 would make 15 units (rounded down) 75 dollars profit.

product b on machine 2 would make 16 units (rounded down) 80 dollars profit.

Step-by-step explanation:

a1 refers to product a on machine 1

a2 refers to product a on machine 2

same rule applies for product b 1 and 2

4 0
4 years ago
If y= x+9 <br>______<br>3-x<br>find the value of y when x=5​
Artemon [7]

Answer:

-28

Step-by-step explanation:

y/3-x = x+9

x=5

=>y/3-5=5+9

=>y/-2=14

=>y = - 28

8 0
3 years ago
What does 12−3/4(d+16)=−5 equal solve for d
Ratling [72]

Answer:

d=20/3 or 6.6 repeating

Step-by-step explanation:

Let's solve your equation step-by-step.

12−

3

4

(d+16)=−5

Step 1: Simplify both sides of the equation.

12−

3

4

(d+16)=−5

12+

−3

4

d+−12=−5(Distribute)

(

−3

4

d)+(12+−12)=−5(Combine Like Terms)

−3

4

d=−5

−3

4

d=−5Step 2: Multiply both sides by 4/(-3).

(

4

−3

)*(

−3

4

d)=(

4

−3

)*(−5)

d=

20

3

Answer:

d=

20

3

3 0
4 years ago
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