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Marina CMI [18]
3 years ago
15

7 − 9x − (x + 12) less than or equal to 25?

Mathematics
1 answer:
Nonamiya [84]3 years ago
6 0

Answer:

x  ≥-3

Step-by-step explanation:

7 − 9x − (x + 12) less than or equal to 25

7 − 9x − (x + 12) ≤ 25

Distribute the minus sign

7 − 9x − x - 12 ≤ 25

Combine like terms

− 10x −5 ≤ 25

Add 5 to each side

− 10x −5+5 ≤ 25+5

− 10x ≤ 30

Divide by -10. Remember that this flips the inequality

− 10x/-10 ≥30/-10

x  ≥-3

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Answer:

The 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups is (0.3834, 0.5166).

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Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

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95% confidence level

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The 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups is (0.3834, 0.5166).

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let's analyze each case to determine the solution

<u>case 1)</u> f(0) = 2 and g(–2) = 0

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<u>case 3)</u> f(2) = 0 and g(–2) = 0

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For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

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the statement of the case 3) is true

<u>case 4)</u> f(–2) = 0 and g(–2) = 0

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therefore

<u>the answer is</u>

f(2) = 0 and g(–2) = 0-------> this statement is true


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