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Elis [28]
3 years ago
5

Find the sum of the arithmetic series for which a_1 = 7, n = 31, and a_n = 127.

Mathematics
1 answer:
uranmaximum [27]3 years ago
8 0

Answer: 2077

There are 31 terms.

S₃₁ = 31(a₁+a₃₁)/2 = 31(7+127)/2 = 2077

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1080

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3 years ago
In an international film festival, a penal of 11 judges is formed to judge the best film. At last two films FA and FB were consi
valentina_108 [34]

Answer:

The answer is "0.4329 ".

Step-by-step explanation:

P( three in favor of FA)

Select 3 out of 6 FA supporters then select 2 out of 5 FB supportive judges  

=\frac{^{6}_{C_{3}}\times ^{5}_{C_{2}}}{^{11}_{C_{5}}}\\\\=\frac{\frac{6!}{3!(6-3)!}\times \frac{5!}{2!(5-2)!}}{\frac{11!}{5!(11-5)!}}\\\\=\frac{\frac{6!}{3! \times 3!}\times \frac{5!}{2! \times 3!}}{\frac{11!}{5! \times 6!}}\\\\=\frac{\frac{6 \times 5 \times 4 \times 3!}{3 \times 2  \times 1\times 3!}\times \frac{5  \times 4  \times 3!}{2 \times 1 \times 3!}}{\frac{11  \times10  \times 9  \times 8 \times 7  \times 6! }{5 \times 4 \times 3  \times 2  \times 1 \times 6!}}\\\\

=\frac{ (5 \times 4) \times(5  \times 2)}{(11  \times 3  \times 2 \times 7 )}\\\\=\frac{ 20 \times 10 }{(11 \times 42)}\\\\=\frac{ 200 }{462}\\\\=\frac{100 }{231}\\\\=0.4329

6 0
2 years ago
Help with this question, please!!
IceJOKER [234]

Answer:

  72°

Step-by-step explanation:

You correctly found x, but the measure of the angle is ...

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or (6x-69)° = (141-69)° = 72°

4 0
3 years ago
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3/5+(-7/40)

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8 0
3 years ago
Read 2 more answers
If you take -3/10 of a number and add 1, you get 10. Write an equation to represent the situation. What is the original number?
Basile [38]
Equation - x = -3/10 + (10-1)

The original number is 9.3 because
x = -3/10 + (10-1)
x = -3/10 + 9
x = 9.3

4 0
3 years ago
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