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Blizzard [7]
2 years ago
13

Given that f(x) = x^2 - 11x + 18 and g(x) = x-9, find f(x) + g(x)

Mathematics
1 answer:
liberstina [14]2 years ago
3 0

Answer:

f(x) + g(x) = x² - 10x + 9

General Formulas and Concepts:

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = x² - 11x + 18

g(x) = x - 9

<u>Step 2: Find f(x) + g(x)</u>

  1. Substitute:                              f(x) + g(x) = x² - 11x + 18 + x - 9
  2. Combine like terms (x):          f(x) + g(x) = x² - 10x + 9

<u />

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a) 96.64% probability that maximum speed is at most 50 km/h

b) 24.67% probability that maximum speed is at least 48 km/h

c) 86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

Step-by-step explanation:

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In this question, we have that:

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A. What is the probability that maximum speed is at most 50 km/h?

This is the pvalue of Z when X = 50. So

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96.64% probability that maximum speed is at most 50 km/h.

B. What is the probability that maximum speed is at least 48 km/h?

This is 1 subtracted by the pvalue of Z when X = 48.

Z = \frac{X - \mu}{\sigma}

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Z = 0.685 has a pvalue of 0.7533

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24.67% probability that maximum speed is at least 48 km/h.

C. What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?

Z = 1.5 has a pvalue of 0.9332

Z = -1.5 has a pvalue of 0.0668

0.9332 - 0.0668 = 0.8664

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