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densk [106]
3 years ago
14

A cupboard contains 5 pairs of shoes, each of a different style. How many ways are there to select 4 of the shoes from the cupbo

ard so that the selection contains exactly one matching pair? Note that each pair of shoes consists of distinguishable left and right foot.
Mathematics
1 answer:
Andreas93 [3]3 years ago
4 0
The solution to the problem is as follows:

If there are 6 pairs of shoes:

C(6,1) = choose the matching pair = 6 choices. 
C(10,1) = 1 shoe from the other 10. 
Now you cannot choose the mate of that one, 
so you have 8 other shoes to choose from. 

6 * 10 * 8 = 480 choices of "4 shoes". 
But then we must divide by 2, because the last two shoes 
could be chosen in either order. 

That gives 240 choices - same as your teacher's answer, 
<span>but via a different route. 
</span>

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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A number is multiplied by 4. That result is added to 12. The final number is 40.
NARA [144]

Answer:

B) 7

Step-by-step explanation:

Let the number be x

4x + 12 = 40

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4x =28

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5 0
3 years ago
Which function represents g(x), a reflection of f(x) = (3)x across the y-axis?
Artyom0805 [142]

Answer: g(x)=(3)^{-x}

Step-by-step explanation:

We know that if a figure is reflected across y axis then its y coordinate remains same but the x coordinate changes its polarity.

i.e. the function f(x) will become f(-x) .

Now, the given function :f(x)=(3)^x

Then , after reflection across y axis the new function will become:

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7 0
3 years ago
Drag each figure to show if it is similar to the figure shown or why it is not similar.
schepotkina [342]

Answer:

Step-by-step explanation:

Similar figures have the same shape but the same size.

Moving from left to right:

The first figure is similar because it is rotated

The second figure is not similar because of shape

The third figure is not similar because of different ratio the ratio for the figure above is 3/5 or 0.6, while this figure is 12/15 or 0.8

The fourth figure is not similar because of ratio, but it is still a rectangle

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The distances of a port from 20 differ- ent locations form an AP. If the farthest distance is 300 km, and the nearest distance i
Mkey [24]

Answer:

Required difference = 270/19 km

Step-by-step explanation:

If we consider the AP of distances to be

a, a + r, a + 2r, ..., a + 19r,

where a is the distance of the nearest location from the port and r is the difference between any two successive location.

Given that,

a + 19r = 300 .....(1)

a = 30 ..... (2)

Using (2), from (1), we get

30 + 19r = 300

or, 19r = 300 - 30

or, 19r = 270

or, r = 270/19

Therefore the distance between any two successive location is 270/19 km.

5 0
2 years ago
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