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aliina [53]
1 year ago
6

3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20n%5C%5C%20evaluate%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%5C%3A%20%CE%A3%20%20%5C%3A%20%28nCi%29%5C%5C%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20i%20%3D%200" id="TexFormula1" title=" \: \: \: \: \: \: \: \: \: \: \: n\\ evaluate \: \: \: \: \: Σ \: (nCi)\\ \: \: \: \: \: \: \: \: \: \: \: \: i = 0" alt=" \: \: \: \: \: \: \: \: \: \: \: n\\ evaluate \: \: \: \: \: Σ \: (nCi)\\ \: \: \: \: \: \: \: \: \: \: \: \: i = 0" align="absmiddle" class="latex-formula">
Evaluate the summation​
Mathematics
1 answer:
Sedaia [141]1 year ago
7 0

Assuming you mean

\displaystyle \sum_{i=0}^n {}_nC_{i}

where

{}_n C_i = \dbinom ni = \dfrac{n!}{i! (n-i)!}

we have by the binomial theorem

\displaystyle (1 + 1)^n = \sum_{i=0}^n {}_nC_{i} \cdot 1^i \cdot 1^{n-i}

so that the given sum has a value of \boxed{2^n}.

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I Need help with question 21 and 22 !
USPshnik [31]
11) First, add 74 and 43.

74+43=117

Subtract 117 from 180. Do this because this will give you the value of angle 1. This is because the sum of the angles in a triangle will always add up to 180 degrees.

180-117=63

Angle 1 = 63 degrees

Angle 2 also equals 63 degrees, because they are vertical angles.

Angle 2= 63 degrees

Now, add 63 and 79

63+79=142

Subtract 142 from 180

180-142=38

Angle 3 = 38 degrees

12)

First, subtract 56 from 180. Do this to find angle C. They are supplementary angles, so they will equal 180 degrees.

180-56=124

Angle C=124 degrees

Now, add 124 and 20

124+20=144

Finally, subtract 144 from 180

180-144=36

The measure of angle A is 36 degrees

Hope this helped! :)


7 0
3 years ago
ANSWER THIS TO GET 20 POINTS<br><br> what does a ratio of 2:1 mean
sdas [7]

Answer:

It means 2/1

Step-by-step explanation:

For example if YIU say the ratio girls to boys is 2 to 1 then you are there are 2 girls to 1 boy

7 0
2 years ago
12.15x19 Need this asap thanks yall have a blessed day :)
valentinak56 [21]

Answer:

The answer would be 230.85

5 0
2 years ago
Read 2 more answers
5 ÷ 3/5 =?<br><br>A ?<br><br>B ?<br><br>C?<br><br>Or D?​
Tanya [424]

Answer:

D

Step-by-step explanation:

I can’t give a step-by-step explanation but it’s D

5 0
3 years ago
Read 2 more answers
Draw a diagram that shows 1/5 times 30 equals 6
MrMuchimi

Total number = 30

1/5 of 30 = 1/5 x 30 = 6

The attached figures show the total number of filled circles in five lines. Each line have “6” filled circles.

So 5 lines having 6 filled circles = 5 x 6 = 30

<span>Every line represents “1/5” of total amount “30”. Which proved that 1/5 of 30 is equal to 6. </span>

3 0
3 years ago
Read 2 more answers
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