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3 years ago

Can someone explain the snake method, I don't understand how to do it

Mathematics

2 answers:

gavmur [86]3 years ago

8 0

<h3>Answer: <em>x ∈ [−2; 1] ∪ 3.5</em></h3>

Step-by-step explanation:

storchak [24]3 years ago

6 0

Answer:

x ∈ [−2; 1] ∪ 3.5

Step-by-step explanation:

<h3>Given</h3>

<u>Inequality</u>: (x-1)(x+2)(2x-7)≤0

<h3>Solution: </h3>

<u>If we solve the corresponding equation (x-1)(x+2)(2x-7)²= 0, we get roots </u>

x = -2, 1, 3.5

<u>We need to consider the following 4 intervals: </u>

(−∞; −2), [−2; 1], (1; 3.5), (3.5; ∞)

<u>1st interval</u> (−∞; −2)

The expression (x-1)(x+2)(2x-7)² is positive as two of the multiples are negative and one is always positive (square number), and therefore does not satisfy the inequality.

<u>2nd interval</u> [−2; 1]

The expression is negative as only one of the multiples is negative, and therefore the interval (−1; 2) satisfies the inequality.

<u>3rd interval</u> (1; 3.5)

The expression is positive as all the multiples are positive. Therefore, the interval (1; 3.5) also does not satisfy the inequality.

<u>4th interval</u>

The expression is positive as above, and therefore also does not satisfy the inequality.

<u>So, the answer to the inequality is: </u>

x ∈ [−2; 1] ∪ 3.5

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H0: There is independence between the marital status and the diagnostic of alcoholic

H1: There is association between the marital status and the diagnostic of alcoholic

The level os significance assumed for this case is $\alpha=0.05$

Part 2

The statistic to check the hypothesis is given by:

$\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}$

Part 3

The table given represent the observed values, we just need to calculate the expected values with the following formula $E_i = \frac{total col * total row}{grand total}$

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Part 4

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