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1 year ago

6 3x−8≤23 AND −4x+26≥63

Mathematics

1 answer:

Airida [17]1 year ago

8 0

The solution to the compound inequality given as 3x−8≤23 AND −4x+26≥63 is x ≤ 31/3 AND x ≤ -89/4

<h3>How to determine the solution to the compound inequality?</h3>

The compound inequality is given as:

3x−8≤23 AND −4x+26≥63

Rewrite properly as:

3x − 8 ≤ 23 AND −4x + 26 ≥ 63

Add to both sides of compound inequality ,the constant in the compound inequality expression

So, we have:

3x ≤ 31 AND −4x ≥ 89

Divide both sides of compound inequality, by the coefficient of the variable x in the compound inequality expression

So, we have:

x ≤ 31/3 AND x ≤ -89/4

hence, the solution to the compound inequality given as 3x−8≤23 AND −4x+26≥63 is x ≤ 31/3 AND x ≤ -89/4

Read more about compound inequality at

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3 years ago

Based on the sample of 500 people, 42% owned cats. Calculate the test statistic. Round to two decimal places.

Tanzania [10]

Answer:

z= 3.63

z for significance level = 0.05 is ± 1.645

Step-by-step explanation:

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We formulate our null and alternative hypotheses as

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From this we can find q which is equal to 1-p= 1-0.42 = 0.58

Taking p`= 0.5

Now using the z test

z= p`- p/ √p(1-p)/n

Putting the values

z= 0.5- 0.42/ √0.42*0.58/500

z= 0.5- 0.42/ 0.0220

z= 3.63

For one tailed test the value of z for significance level = 0.05 is ± 1.645

Since the calculated value does not fall in the critical region we reject our null hypothesis and accept the alternative hypothesis that more than 42% people owned cats.

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3 years ago

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sukhopar [10]

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multiple choice is worth 2

short response is worth 4

Step-by-step explanation:

23x + 10y = 86

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x = 2 and y = 4 so

multiple choice is worth 2

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