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Vlad1618 [11]
3 years ago
7

Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false.

Mathematics
1 answer:
Luba_88 [7]3 years ago
4 0

Answer:

here's the answer to your question!

Step-by-step explanation:

Work shown in the attachment,

Refer to the attachment!

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When randomly choosing two cards from a standard deck of cards without replacement, what is the probability of choosing a face c
Radda [10]
There are 12 face cards and 4 aces to choose from. For the first card, the probability of drawing a face is \dfrac{\binom{12}1}{\binom{52}1}=\dfrac{12}{52}. Then the probability of drawing an ace second is \dfrac{\binom41}{\binom{51}1}=\dfrac4{51}.

So the probability of drawing these two particular cards in the given order is

\dfrac{12}{52}\cdot\dfrac4{51}=\dfrac4{221}
4 0
3 years ago
The explicit formula for an arithmetic sequence is an = 20 + (n − 1)(2). What is the 200th term?
Andrews [41]

Answer:

a_{200}=418

Step-by-step explanation:

The explicit formula for an arithmetic sequence is given by :

a_n=20+(n-1)2 ...(1)

We need to find the 200th term of the sequence.

Put n = 200 in equation (1)

a_{200}=20+(200-1)2\\\\=20+199\times 2\\\\=418

So, the 200th term of the sequence is 418.

7 0
3 years ago
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each sale
GarryVolchara [31]

Answer:B

Step-by-step explanation:

Salesman B has no cap and get commission for everything he sells so how much he could make is over A because he has a cap and C doesn’t get commission.

5 0
3 years ago
At piggys pizza, a giant pizza is 18 inches in diameter. What is the area of this pizza? Round your answer to the nearest tenth
ArbitrLikvidat [17]
254.5 inches cause its pi times radius squared 
7 0
3 years ago
WILL GIVE BRAINLEIST!!!
sesenic [268]

Considering that the data has no outliers, the mean of 3.2 inches should be used to describe the center of the data represented in this line plot.

<h3>What measure should be used to describe the center of a data-set?</h3>

It depends if the data-set has outliers or not.

  • If it does not have outliers, the mean should be used.
  • If it has, the median should be used.

The dot plot gives the number of times each measure appears. Since there is no outliers, that is, all values are close, the mean should be used. It is given by:

M = (2 x 1 + 3 x 2 + 2 x 3 + 1 x 5 + 1 x 6 + 1 x 7)/(2 + 3 + 2 + 1 + 1 + 1) = 3.2 inches.

The mean of 3.2 inches should be used to describe the center of the data represented in this line plot.

More can be learned about the mean of a data-set at brainly.com/question/24628525

5 0
2 years ago
Read 2 more answers
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