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Alexeev081 [22]
3 years ago
8

What is the common difference for this arithmetic sequence? 29, 42, 55, 68, ..

Mathematics
1 answer:
gregori [183]3 years ago
7 0

Answer:

Common difference is 13 for this arithmetic sequence 29,42,55,68,...

Step-by-step explanation:

Given the arithmetic sequence 29,42,55,68,...

we have to find the common difference of the above sequence.

Common difference of arithmetic sequence is the difference between two successive terms. Therefore, to find common difference we take any pair of successive numbers, and subtract.

Common difference,

d=42-29=13

d=55-42=13

d=68-55=13

Hence, the difference between two successive terms is 3

∴ Common difference is 13  

Step-by-step explanation:

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An experiment consists of ranomly drawing three cards in succession without replacement from a standard deck of 52 cards. Let A
nadya68 [22]

Answer:

0.0045248 ;

0.1312218 ;

0.0001809 ;

0.1659729

Step-by-step explanation:

Number of Kings in deck = 4

Total number of cards in deck = 52

Picking without replacement :

A = King on first draw :

P(A) = 4 / 52

A = King on 2nd draw :

P(B) = 3 / 51

A = King on 3rd draw :

P(C) = 2 / 50

1.) P(A n B) = P(A) * P(B)

P(A n B) = 4/52 * 3/51 = 12 / 2652 = 0.0045248

2.) P(A u B) = P(A) + P(B) - P(AnB)

P(AuB) = 4/52 + 3/51 - 0.0045248 = 0.1312218

3.) P(A ∩ B ∩ C) = P(A) * P(B) * P(C)

P(A ∩ B ∩ C) = 4/52 * 3/51 * 2/50 = 0.0001809

4.) P(A U B U C) =

P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) - P(AnBnC)

P(AnC) = P(A) * P(C) = 4/52 * 2/50 = 0.0030769

P(BnC) = P(B) * P(C) = 3/51 * 2/50 = 0.0023529

4/52 + 3/51 + 2/50 - 0.0045248 - 0.0030769 - 0.0023529 + 0.0001809 = 0.1659729

6 0
3 years ago
What is the volume of a rubber ball that has a radius of 1.7 cm
tino4ka555 [31]
I believe the volume of one rubber ball is 20.58780
5 0
4 years ago
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aniked [119]

Answer: 135

Step-by-step explanation:

Multiply 750 times .82 and then substract the result from 750

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3 years ago
Please look at the picture.
Vladimir79 [104]

Answer:

J.

Step-by-step explanation:

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8 0
2 years ago
What is the equation of the line that is parallel to the given
OLEGan [10]
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