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solong [7]
2 years ago
7

You bike 3 miles the first day of your​ training, 3.3 miles the second​ day, 3.9 miles the third​ day, and 5.1 miles the fourth

day. If you continue this​ pattern, how many miles do you bike the seventh​ day?
Mathematics
1 answer:
docker41 [41]2 years ago
8 0

Answer:

The answer to your question is 21.9 mi

Step-by-step explanation:

Data

1st day = 3 mi

2nd day = 3.3 mi

3rd day = 3.9 mi

4rd day = 5.1 mi

7fh day = ?

Process

1.- Calculate the pattern

Day            1           2           3         4        5          6         7

MIles          3          3.3         3.9     5.1    7.5       12.3     21.9

Gradient          0.3         0.6       1.2    2.4    4.8      9.6

We notice that the gradient is duplicating so the miles that I bike the seventh day are 21.9.

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Answer:

0.0677 = 6.77% probability that they will all be nonfiction

Step-by-step explanation:

The books are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

10 + 12 = 22 books.

She chooses 4 books, which means that n = 4

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What’s the probability that they will all be nonfiction?

This is P(X = 4). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 4) = h(4,22,4,12) = \frac{C_{12,4}*C_{10,0}}{C_{22,4}} = 0.0677

0.0677 = 6.77% probability that they will all be nonfiction

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