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worty [1.4K]
3 years ago
12

Please help me ASAP

Mathematics
2 answers:
Natali5045456 [20]3 years ago
4 0
2 units                                                                                                                                                   
........................................................................................
Allushta [10]3 years ago
3 0

Answer:

Option C. 4 units

Step-by-step explanation:

As we know median of a triangle intersect each other at a point in the ratio of 2.01.

Therefore, in Δ QNL,

\frac{NS}{SR} = \frac{2}{1}

\frac{(7x-3)}{(5x-3)} = \frac{2}{1}

By cross multiplication

(7x - 3) = 2(5x -3)

7x - 3 = 10x - 6

6 - 3 = 10x - 7x

3 = 3x

x = 1

Now length of NS

= (7x - 3)

= (7 × 1 - 3)

= (7 - 3)

= 4 units

Option C. 4 units is the answer.

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5 0
1 year ago
A closet contains n pairs of shoes. If 2r shoes are chosen at random, (where 2r &lt; n), what is the probability that there will
Pie
We are choosing 2
2
r
shoes. How many ways are there to avoid a pair? The pairs represented in our sample can be chosen in (2)
(
n
2
r
)
ways. From each chosen pair, we can choose the left shoe or the right shoe. There are 22
2
2
r
ways to do this. So of the (22)
(
2
n
2
r
)
equally likely ways to choose 2
2
r
shoes, (2)22
(
n
2
r
)
2
2
r
are "favourable."

Another way: A perhaps more natural way to attack the problem is to imagine choosing the shoes one at a time. The probability that the second shoe chosen does not match the first is 2−22−1
2
n
−
2
2
n
−
1
. Given that this has happened, the probability the next shoe does not match either of the first two is 2−42−2
2
n
−
4
2
n
−
2
. Given that there is no match so far, the probability the next shoe does not match any of the first three is 2−62−3
2
n
−
6
2
n
−
3
. Continue. We get a product, which looks a little nicer if we start it with the term 22
2
n
2
n
. So an answer is
22⋅2−22−1⋅2−42−2⋅2−62−3⋯2−4+22−2+1.
2
n
2
n
⋅
2
n
−
2
2
n
−
1
⋅
2
n
−
4
2
n
−
2
⋅
2
n
−
6
2
n
−
3
⋯
2
n
−
4
r
+
2
2
n
−
2
r
+
1
.
This can be expressed more compactly in various ways.
4 0
3 years ago
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