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dmitriy555 [2]
3 years ago
12

. Find the sum of the first 30 terms of the series:16 + 19 + 22 +......​

Mathematics
2 answers:
zepelin [54]3 years ago
5 0

Answer:

1785

Step-by-step explanation:

16+19+22+25+28+31+34+37+40+43+46+49+52+55+58+61+64+67+70+73+76+79+82+85+88+91+94+97+100+103=1785

Bogdan [553]3 years ago
5 0

Answer:

<h3>The answer is 1785</h3>

Step-by-step explanation:

The above sequence is an arithmetic sequence

The sum of an nth term of an arithmetic sequence is written as

\frac{n}{2} (2a + (n - 1)d)

Where n is the number of terms

a is the first term

d is the common difference

From the question

n is 30

a is 16

d = 19 - 16 = 3

So the first 30 terms of the series is

\frac{30}{2} (2(16) + (30 - 1) \times 3) \\  = 15(32 + 29 \times 3) \\  = 15(32 + 87) \\  = 15(119) \\  = 1785

Hope this helps you.

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mariarad [96]

Answer:

x+23 = 47

Step-by-step explanation:

Let age of Carlos is x. It is mentioned that the sum of age of Carlos and his mother is 47 years old. Age of Carlos is 23.

We need to find the equation that represents the sum of Carlos' age with his mother.

x+23 = 47 is the required equation.

Also, we can find the age of Carlos as :

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Hence, the correct option is (B).

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2 years ago
What’s the probability of getting each card out of a deck?
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Answer:

a. 1/13

b. 1/52

c. 2/13

d. 1/2

e. 15/26

f. 17/52

g. 1/2

Step-by-step explanation:

a. In a deck of cards, there are 4 suits and each of them has a 7. Therefore, the probability of drawing a 7 is:

P(7) = 4/52 = 1/13

b. There is only one 6 of clubs, therefore, the probability of drawing a 6 of clubs is:

P(6 of clubs) = 1/52

c. There 4 fives (one for each suit) and 4 queens in a deck of cards. Therefore, the probability of drawing a five or a queen​​​​​​​​​​​ is:

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= 4/52 + 4/52

= 1/13 + 1/13

P(5 or Q) = 2/13

d. There are 2 suits that are black. Each suit has 13 cards. Therefore, there are 26 black cards. The probability of drawing a black card is:

P(B) = 26/52 = 1/2

e. There are 2 suits that are red. Each suit has 13 cards. Therefore, there are 26 red cards. There are 4 jacks. Therefore:

P(R or J) = P(R) + P(J)

= 26/52 + 4/52

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P(R or J) = 15/26

f. There are 13 cards in clubs suit and there are 4 aces, therefore:

P(C or A) = P(C) + P(A)

= 13/52 + 4/52

P(C or A) = 17/52

g. There are 13 cards in the diamonds suit and there are 13 in the spades suit, therefore:

P(D or S) = P(D) + P(S)

= 13/52 + 13/52

= 26/52

P(D or S) = 1/2

6 0
3 years ago
Hmm who is smart enough for this :)
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Answer:

1

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