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3 years ago

This graph shows a proportional relationship.

Mathematics

1 answer:

Vinvika [58]3 years ago

3 0

9514 1404 393

Answer:

9/8

Step-by-step explanation:

The equation of a proportional relationship is ...

y = kx

The constant of proportionality, k, can be found from ...

k = y/x . . . . . above equation divided by x

Using the given points, we find the constant of proportionality to be ...

k = (3/4)/(2/3) = (3/4)(3/2) = 9/8

The constant of proportionality is 9/8.

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Answer:

$n= 75, 582$

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Step-by-step explanation:

Generally the size of the sample sample space is mathematically represented as

$n = \left N } \atop {}} \right. C_r$

Where N is the total number of objects available and r is the number of objects to be selected

So for a, where N = 19 and r = 8

$n = \left 19 } \atop {}} \right. C_8 = \frac{19 !}{(19 - 8 )! 8!}$

$= \frac{19 *18 *17 *16 *15 *14 *13 *12 *11! }{11 ! \ 8!}$

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For b Where N = 25 and r = 3

$n = \left 25 } \atop {}} \right. C_3 = \frac{25 !}{(19 - 3 )! 3!}$

$= \frac{25 *24 *23 *22 ! }{22 ! \ 3!}$

$n= 2300$

For c Where N = 23 and r = 2

$n = \left 23 } \atop {}} \right. C_2 = \frac{23 !}{(23 - 2 )! 2!}$

$= \frac{23 *22 *21! }{21 ! \ 3!}$

$n = 253$

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Answer:

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Step-by-step explanation:

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