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Rina8888 [55]
3 years ago
7

Fill in the gaps in this sequence: -8, -19, -30, _ , _. (Geometric and arithmetic sequences)

Mathematics
1 answer:
gavmur [86]3 years ago
6 0

-8, -19, -30, -49 , -60

<u>Step-by-step explanation:</u>

Here we have the following sequence :

-8, -19, -30, _ , _

  • First term of sequence is -8 .
  • Second term of sequence is -19 : -8-11 = -19
  • Third term of sequence is -30 : -19-11 = -30
  • Fourth term of sequence is : -30-11 = -49
  • Fifth term of sequence is : -49-11 = -60  

Following sequence was an AP( Arithmetic Progression ) with first term as -8 i.e. a = -8 and common difference d = -11 having general equation as : -8 -11n .

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Alona [7]
(7x10)+(4×1)+(9×1\100)+(2×1\100)=74.11
5 0
3 years ago
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A card is drawn from a standard deck of cards. Determine whether the events are mutually exclusive or inclusive. Then, find the
podryga [215]
Out of the 52 cards in a deck, there are 13 clubs and 4 aces. The given situation is an inclusive event because out of the 4 aces there is one of them that is a club. The probability therefore,
                       P(ace) + P(club) - P(inclusive event)
Substituting gives,
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6 0
3 years ago
6 (2x+7) = 5 x - 11 - x
Delvig [45]

Answer:

x = -53/8

Step-by-step explanation:

6(2x + 7) = 5x - 11 - x

12x + 42 = 5x -11 - x (Distributive property)

12x + 42 = 4x - 11 (Subtraction property)

8x + 42 = -11 (Subtraction Property)

8x = -53 (Subtraction Property)

<u><em>x = -53/8</em></u>

4 0
3 years ago
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Mary and ann made drinks for a picnic. one used 3 cans juice concentrate and 8 cans water. the other 5 cans juice concentrate an
Sveta_85 [38]


I would think that it would be the 3:8 one because if you do the math, 8-3 is 5 and 12-5 is 7. The only reason Im doing it this way is because its the only way I can set it up.

so you have more of a difference with the 12:5 one and less of a difference with the 3:8.

I hope I helped a bit


4 0
3 years ago
A fair tossed 10 times . Find the probability of obtaining (i) exactly four heads (ii) 3 heads and 7 tails (iii) at least one he
vodka [1.7K]

Answer:

0.205 ; 0.117 ; 0.999

Step-by-step explanation:

Using binomial probability distribution :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

Probability of success, p = 0.5

P(x = 4) = 10C4 * 0.5^4 * 0.5^6

P(X = 4) = 0.205078125

B.) 3 heads and 7 tails

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P(X = 7) = 120 * 0.0009765625

P(X = 7) = 0.117

P(atleast one head)

P(x greater than equal to 1) = p(x =1) +... P(x = 10)

Using a binomial probability calculator :

P(x greater than equal to 1) = 0.999

3 0
3 years ago
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