Whole numbers<span><span>\greenD{\text{Whole numbers}}Whole numbers</span>start color greenD, W, h, o, l, e, space, n, u, m, b, e, r, s, end color greenD</span> are numbers that do not need to be represented with a fraction or decimal. Also, whole numbers cannot be negative. In other words, whole numbers are the counting numbers and zero.Examples of whole numbers:<span><span>4, 952, 0, 73<span>4,952,0,73</span></span>4, comma, 952, comma, 0, comma, 73</span>Integers<span><span>\blueD{\text{Integers}}Integers</span>start color blueD, I, n, t, e, g, e, r, s, end color blueD</span> are whole numbers and their opposites. Therefore, integers can be negative.Examples of integers:<span><span>12, 0, -9, -810<span>12,0,−9,−810</span></span>12, comma, 0, comma, minus, 9, comma, minus, 810</span>Rational numbers<span><span>\purpleD{\text{Rational numbers}}Rational numbers</span>start color purpleD, R, a, t, i, o, n, a, l, space, n, u, m, b, e, r, s, end color purpleD</span> are numbers that can be expressed as a fraction of two integers.Examples of rational numbers:<span><span>44, 0.\overline{12}, -\dfrac{18}5,\sqrt{36}<span>44,0.<span><span> <span>12</span></span> <span> </span></span>,−<span><span> 5</span> <span> <span>18</span></span><span> </span></span>,<span>√<span><span> <span>36</span></span> <span> </span></span></span></span></span>44, comma, 0, point, start overline, 12, end overline, comma, minus, start fraction, 18, divided by, 5, end fraction, comma, square root of, 36, end square root</span>Irrational numbers<span><span>\maroonD{\text{Irrational numbers}}Irrational numbers</span>start color maroonD, I, r, r, a, t, i, o, n, a, l, space, n, u, m, b, e, r, s, end color maroonD</span> are numbers that cannot be expressed as a fraction of two integers.Examples of irrational numbers:<span><span>-4\pi, \sqrt{3}<span>−4π,<span>√<span><span> 3</span> <span> </span></span></span></span></span>minus, 4, pi, comma, square root of, 3, end square root</span>How are the types of number related?The following diagram shows that all whole numbers are integers, and all integers are rational numbers. Numbers that are not rational are called irrational.
Answer:
The null hypothesis is, {H₀}: p = 0.66, H₀: p = 0.66 .
The alternative hypothesis is, {Hₐ}: p > 0.66, Hₐ: p > 0.66
Step-by-step explanation:
Let p represent the proportion of students who are supportive of making the day before Thanksgiving a holiday.
Since two populations are considered, the alternative hypothesis for the difference of the means of the two populations has to be stated.
The proportion of two-third students are supportive of making the day before Thanksgiving a holiday is p = 0.66 obtained as shown below:
The null hypothesis is,
{H₀}:p = 0.66, H₀: p = 0.66
The alternative hypothesis is,
{Hₐ:p > 0.66, Ha: p > 0.66
The null hypothesis is, {H₀}: p = 0.66, H₀: p=0.66 .
The alternative hypothesis is, {Hₐ}: p > 0.66, Hₐ: p > 0.66
The expression can represent the value of x in terms of R, m, n and k after rearranging.
<h3>What is an expression?</h3>
It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The expression is:
Square both side:
16m² x n = R²k³
x = (R²k³)/(16m²n)
The above expression represents the value of x in terms of R, m, n and k.
Thus, the expression can represent the value of x in terms of R, m, n and k after rearranging.
Learn more about the expression here:
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