Complete the patterns 0, 1, 3, 7, 15, 31, _ 0, 1, 1, 2, 3, 5, 8, 13, _
2 answers:
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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.
Answer:
<h2> 10 in</h2>Step-by-step explanation:
This problem bothers on the mensuration of flat shapes, circles and square.
we know that the pizza has a circular profile
and the place-mat has a square profile.
Step one:
let us solve for the radius of the pizza
Step two:
from inspection we know that the width of the place-mat is same as the diameter of the pizza
hence diameter of pizza
= 2r
=2*5
=10 in