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Mrac [35]
2 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]2 years ago
5 0

the answer for this question isC.9p16.

ollegr [7]2 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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What is 6×9×(-5) equal to?
Mumz [18]
6*9*(-5) = -270

8 0
2 years ago
Which of the following events are equal? (a) A = {1,3}; (b) B = {x | x is a number on a die }; (c) C = {x | x2 −4x +3=0 }; (d) D
rosijanka [135]

Answer:

A and C

Step-by-step explanation:

To determine which events are equal, we explicitly define the elements in each set builder.

For event A

A={1.3}

for event B

B={x|x is a number on a die}

The possible numbers on a die are 1,2,3,4,5 and 6. Hence event B is computed as

B={1,2,3,4,5,6}

for event C

C=[x|x^{2}-4x+3]\\solving  x^{2}-4x+3\\x^{2}-4x+3=0\\x^{2}-3x-x+3=0\\x(x-3)-1(x-3)=0\\x=3 or x=1

Hence the set c is C={1,3}

and for the set D {x| x is the number of heads when six coins re tossed }

In the tossing a six coins it is possible not to have any head and it is possible to have head ranging from 1 to 6

Hence the set D can be expressed as

D={0,1,2,3,4,5,6}

In conclusion, when all the set are compared only set A and set C are equal

5 0
2 years ago
The pilot in a helicopter tossed a life float down to a swimmer in the water. The height, h, of the float after time t seconds i
MissTica

Answer:

1.95secs

Step-by-step explanation:

Given the height of the float expressed as h(t) = -16t2 - 3t + 55.

The floats reach the swimmer at h(t) = 0

Substitute

0 = -16t^2 - 3t + 55.

16t^2 + 3t - 55 = 0

Using the general formula;

t = -3±√3²-4(16)(-55)/2(16)

t = 3±√9+3520/32

t = 3±√3529/32

t = 3+59.41/32

t = 62.41/32

t = 1.95

Hence it will take 1.95secs

4 0
1 year ago
Kona wants to bake at most 30 loaves of banana bread and nut bread for a bake sale. Each loaf of banana bread sells for $2.50,an
Mila [183]

Answer:

Step-by-step explanation:

30 loaves of banana bread and nut bread at most

Banana bread is sold for $2.5

Nut bread is sold for $2.75

Total income she wants to make $44

Given that x represent loaves of bread

And y represent loaves of nut bread

First statement

She wants to make at most 30 of both loaves bread and nut, at most means the maximum she wanted to make is 30, so it is either 30 or less than 30.

Therefore the sum of the loaves bread and the nut bread is less or equal to 30.

Mathematically,

x+y≤30. Equation 1

Second statement

She wants to make at least a gain of $44, that is, the minimum money she wants to make is $44

Banana bread is sold for $2.5

Therefore she will make 2.5x by banking x nut bread

Nut bread is sold for $2.75

She will make 2.75y by baking y nut bread.

Therefore,

Since she wants to make at least $44,

The inequality is,

2.5x+2.75y≥ 44. equation 2

The inequalities model are

1. x+y≤30

2. 2.5x+2.75y≥ 44

3 0
1 year ago
What is the multiplicative inverse of -0.7?
Verizon [17]

Answer:

The multiplicative inverse of -0.7 is -1/0.7

hope it helps

6 0
1 year ago
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