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lawyer [7]
3 years ago
5

A line segment has endpoints at (2, -9) and (2, 7).

Mathematics
1 answer:
sladkih [1.3K]3 years ago
6 0

Step-by-step explanation:

The point that partitions the segment in a ratio of 3:1 is located at :

Y = -9 + [¾ × (7-(-9)]

= -9 + (¾ × 16)

= -9 + 12

= 3

the coordinates are (2, 3)

The point that partitions the segment in a ratio of 1:3 is located at :

X = 2 + [¼×(2-2)]

= 2 + (¼×0)

= 2+0

= 2

the coordinates are (2, -5)

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Answer:

(a) 350

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Step-by-step explanation:

Number of females = 7

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Total ways of selecting 3 females and 2 males.

\text{Total ways}=^7C_3\times ^5C_2

\text{Total ways}=\dfrac{7!}{3!(7-3)!}\times \dfrac{5!}{2!(5-2)!}

\text{Total ways}=35\times 10

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(b)

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\text{Total ways}=^7C_5\times ^5C_0

\text{Total ways}=21\times 1

\text{Total ways}=21

(d)

Total ways of selecting at least 4 females.

Total ways = 4 females + 5 females

\text{Total ways}=175+21

\text{Total ways}=196

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