What is the slope of the line represented by the equation y=-5x? 1 ОО us when we o 5
1 answer:
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The simplified expression of is
Simplify the expression: (x³ + (-y)³) / (x - y)
Do not include parentheses in your answer.
<h3>How to simplify the expression?</h3>The expression is given as:
Open the inner bracket
Apply the difference of two cubes to the numerator
Cancel out the common factors
Hence, the simplified expression of is
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Answer:
Explained below.
Step-by-step explanation:
In this case we need to determine if there has been an increase in the proportion of rooms occupied over the one-year period.
(a)
The hypothesis can be defined as follows:
<em>H</em>₀: The proportion of rooms occupied over the one-year period has not increased, i.e. <em>p</em>₁ - <em>p</em>₂ ≤ 0.
<em>Hₐ</em>: The proportion of rooms occupied over the one-year period has increased, i.e. <em>p</em>₁ - <em>p</em>₂ > 0.
(b)
The information provided is:
n₁ = 1750
n₂ = 1800
X₁ = 1470
X₂ = 1458
Compute the sample proportions and total proportions as follows:
(c)
Compute the test statistic value as follows:
The test statistic value is 2.352.
(d)
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
Compute the p-value as follows:
The p-value of the test is very small. The null hypothesis will be rejected at any significance level.
Thus, there enough evidence suggesting that there has been an increase in the proportion of rooms occupied over the one-year period.