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Ilya [14]
3 years ago
8

Please help me solve this. :)

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
6 0

Answer:

45.) 45

46.) 2

47.) 16

48.) 8

49.) 10

50.) 11

51.) 16

52.) 6

53.) 55

54.) 14

Step-by-step explanation:

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Let us analyze the following setting. You are given a circle of unit circumference. You pickkpoints on the circle independently
garik1379 [7]

Answer:

We have been given a unit circle which is cut at k different points to produce k different arcs. Now we can see firstly that the sum of lengths of all k arks is equal to the circumference:

\small \sum_{i = 1}^{k} L_i= 2\pi

Now consider the largest arc to have length \small l . And we represent all the other arcs to be some constant times this length.

we get :

 \small \sum_{i = 1}^{k} C_i.l = 2\pi

where C(i) is a constant coefficient obviously between 0 and 1.

\small \sum_{i = 1}^{k} C_i= 2\pi/l

All that I want to say by using this step is that after we choose the largest length (or any length for that matter) the other fractions appear according to the above summation constraint. [This step may even be avoided depending on how much precaution you wanna take when deriving a relation.]

So since there is no bias, and \small l may come out to be any value from [0 , 2π] with equal probability, the expected value is then defined as just the average value of all the samples.

We already know the sum so it is easy to compute the average :

\small L_{Exp} = \frac{2\pi}{k}

7 0
2 years ago
How many arrangements of three letter can be formed from the letters of the word MATH if anyletter will not be used more than on
Mariulka [41]

Combinations = n! / (n - r)! r!

C\text{ = }\frac{n!}{(n-r)!\text{ r!}}\text{ }

In this case:

n = 4

r = 3

Combinations = 4! /(4-3)! 3! = 24/(1)(6) = 24/6 = 4

Answer:

4 arrangements

7 0
1 year ago
Laura drives a garbage truck that weighs 3 tons. She picked up 2 tons of recyclables. What is the total weight in pounds of the
Allushta [10]

Answer:

Step-by-step explanation:

Total weight=The garbage truck weight + recyclables weight =3 tons + 2 tons = 5 tons

3 0
3 years ago
Read 2 more answers
the circle below has center T. suppose that m UV = 138 degrees and that UW is tangent to the circle at U. find the following
alisha [4.7K]

Angle UTV is basically given: it's 138°.

Moreover, since UTV is isosceles, the other two angles have the same measure x. We thus have

138+x+x=180 \iff 2x=42 \iff x=21

So, TUV is 21°, and VUW is complementary, so it must be 69° so that they sum up to 90°

3 0
3 years ago
Someone pls help me out thanks
Jobisdone [24]

Answer:

C(7,-8)

R= 8

The general formula of a circle = (x-a)+(y-b)=r²

5 0
3 years ago
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