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Arlecino [84]
2 years ago
12

Two hot air balloons are traveling along the same path away from a town, beginning from different locations at the same time. He

nry´s balloon begins 30 miles from the town and is 48 miles from the town after 2 hours. The distance of Tasha´s balloon from the town is represented by the function y= 8x +20.
which balloon was farther from the town at the beginning, and which traveled more quickly?

Mathematics
1 answer:
kolbaska11 [484]2 years ago
5 0

9514 1404 393

Answer:

  D.  Henry's started farther, went faster

Step-by-step explanation:

Henry's balloon traveled 18 additional miles (from 30 to 48) in 2 hours, so had a speed of 18mi/(2h) = 9 mi/h. The equation for his position could be ...

  y = 9x +30 . . . . . 9 is the rate of change; 30 is the initial value

__

Comparing this to Tasha's position function, we see her balloon started 20 miles from town and traveled 8 miles per hour.

__

Henry started farther from town and traveled faster.

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Question:

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Answer:

Option B: 0.20 is the probability of the sum of the two integers.

Explanation:

The sample space for selecting 2 numbers is given by

4\times 5 = 20

We need to determine the probability that the sum of two integers will be equal to 9.

Hence, we need to add the two integers from the sets A and B such that their sum will be equal to 9.

Hence, the sets are (2,7),(3,6),(4,5),(5,4)

Thus, the total number of sets whose sum is equal to 9 = 4

The probability that the sum of the two integers will equal 9 is given by

P=\frac{4}{20}

P=\frac{1}{5}

P=0.20

Thus, the probability that the sum of the two integers will equal 9 is 0.20

Hence, Option B is the correct answer.

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