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Step2247 [10]
3 years ago
10

The complement of 4 heads in the toss of 4 coins is

Mathematics
1 answer:
Fofino [41]3 years ago
4 0

Answer:

b i believe the answer is

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What is the sum of the first 70 consecutive odd numbers? Explain.
expeople1 [14]

The sum of the first n odd numbers is n squared! So, the short answer is that the sum of the first 70 odd numbers is 70 squared, i.e. 4900.

Allow me to prove the result: odd numbers come in the form 2n-1, because 2n is always even, and the number immediately before an even number is always odd.

So, if we sum the first N odd numbers, we have

\displaystyle \sum_{i=1}^N 2i-1 = 2\sum_{i=1}^N i - \sum_{i=1}^N 1

The first sum is the sum of all integers from 1 to N, which is N(N+1)/2. We want twice this sum, so we have

\displaystyle 2\sum_{i=1}^N i = 2\cdot\dfrac{N(N+1)}{2}=N(N+1)

The second sum is simply the sum of N ones:

\underbrace{1+1+1\ldots+1}_{N\text{ times}}=N

So, the final result is

\displaystyle \sum_{i=1}^N 2i-1 = 2\sum_{i=1}^N i - \sum_{i=1}^N 1 = N(N+1)-N = N^2+N-N = N^2

which ends the proof.

5 0
2 years ago
What is the lowest prime number 2,3,4,5 please help
just olya [345]

Answer:

the answer is 2 hope this helps :>

3 0
3 years ago
Antonio wants to purchase new Beats and a new iPod. The Beats he wants cost $299 and
storchak [24]
$299 and $199 adds up to 498, including the tax rate 7.5% and your total is $535.35
3 0
3 years ago
Plz help me Find LM.
Ira Lisetskai [31]

Because LP and NP are the same measure, that means that MP is a bisector. It bisects side LN and it also bisects angle LMN. Where MP meets LN creates right angles. What we have then thus far is that angle LMP is congruent to angle NMP and that angle LPM is congruent to angle NPM and of course MP is congruent to itself by the reflexive property. Therefore, triangle LPM is congruent to triangle NMP and side LM is congruent to side NM by CPCTC. Side LM measures 11.

3 0
3 years ago
Lee Wine bought pizza from Pizza Hut for her son's party. The owner of the store said it would feed eight. Assuming six children
lidiya [134]
Answer : 2/8 of the pizza would be left of Lee Wine’s pizza.

Solution: 8/8 (1) - 6/8 = 2/8

Hope this helps!!
6 0
3 years ago
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