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Ne4ueva [31]
3 years ago
6

Brian visited a mountain park with trails for hiking, mountain biking, horseback riding, and cross-country skiing. The chart sho

ws the time Brian spent doing each activity.
A 2-column table with 4 rows titled Brian's Activity time (hours). Column 1 has entries hiking, mountain biking, horseback riding, cross-country skiing. Column 2 has entries 3, 1.45, 1.2, 0.75.

Brian biked the yellow trail loop that circles the park. He rode at an average speed of 12.2 miles per hour. How many miles did Brian bike?

12.2
× 1.45
610
4880
+_(___)_

Brian biked a distance of
miles.
Mathematics
2 answers:
WITCHER [35]3 years ago
8 0

Answer:

17.690 miles

Step-by-step explanation:

i took the test

Naya [18.7K]3 years ago
5 0

Answer:

17.690 miles

Step-by-step explanation:

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Snezhnost [94]

Answer:

31.82% probability that you will receive 2 apples.

Step-by-step explanation:

The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses 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 sucesses.

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:

5 + 7 = 12 total fruits, which means that N = 12

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What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?

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P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182

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