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tester [92]
3 years ago
5

. Find two consecutive odd integers whose product is 99. (Note: There are two different pairs of consecutive odd

Mathematics
1 answer:
Tom [10]3 years ago
4 0

Answer:

9 and 11

Step-by-step explanation:Let the 2 consecutive odd integers be n and n+2.

n(n + 2) = 99

Solve for n.

n2 + 2n - 99 = 0

(n + 11)(n - 9) = 0 ⇒

Two solutions:

n = -11

n + 2 = -9

and

n = 9

n + 2 = 11

Test the answers.

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Answer:

The estimated mean number of rockets hits in the region is 533.

Step-by-step explanation:

We are given the following information,

Number of rocket hits     |    Observed number of regions

0                                       |                       228

1                                        |                       214

2                                       |                        94

3                                       |                        32

4                                       |                         7

5                                       |                        0

6                                       |                        0

7                                       |                         1

We are asked to estimate the mean number of rocket hits in the region.

The mean or expected value is given by

\mu = \sum (x \cdot P(x)) \\\\\mu = (0 \cdot 228) + (1 \cdot 214) + (2 \cdot 94) + (3 \cdot 32) + (4 \cdot 7) + (5 \cdot 0) + (6 \cdot 0) + (7 \cdot 1) \\\\\mu = 0 + 214 +188+ 96 +28 +0+ 0 + 7 \\\\\mu = 533

Therefore, the mean number of rockets hits in the region is 533.

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Step-by-step explanation:

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