Answer:
Since a/2⁽ⁿ ⁺ ¹⁾b < a/2ⁿb, we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.
Step-by-step explanation:
Let a/b be the rational number in its simplest form. If we divide a/b by 2, we get another rational number a/2b. a/2b < a/b. If we divide a/2b we have a/2b ÷ 2 = a/4b = a/2²b. So, for a given rational number a/b divided by 2, n times, we have our new number c = a/2ⁿb where n ≥ 1
Since 
= a/(2^∞)b = a/b × 1/∞ = a/b × 0 = 0, the sequence converges.
Now for each successive division by 2, a/2⁽ⁿ ⁺ ¹⁾b < a/2ⁿb and
a/2⁽ⁿ ⁺ ¹⁾b/a/2ⁿb = 1/2, so the next number is always half the previous number.
So, we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.
Answer:
vol=BX1/3 h
=64* 1/3 square root of 32
Step-by-step explanation:
Answer:
1. 7
2. 15
3. 181
Step-by-step explanation:
Just make sure that you make your denominator a whole number
1. 9.8/1.4....,you multiply by 10...which only removes the comma but it keeps the structure of the question
Always remember that what you do to the denominator...you also do to the numerator
: 9.8/1.4 × 10/10 = 98/14 = 7
2. 40.5/2.7....,you multiply by 10
: 40.5/2.7 × 10/10 = 405/27 = 15
3. 3.62/0.02...., you multiply by 100
: 3.62/0.02 × 100/100 = 362/2 = 181
$42.29
Multiply $35.24 by .2 and add that to the original bill.
Answer: The p-value is 0.154.
Step-by-step explanation:
Since we have given that
We claim that
Null hypothesis :
Alternate hypothesis :
Population mean = 20 hours
Sample mean = 18.5 hours
Sample standard deviation = 4.3 hours
Sample size n = 35
So, test statistic would be
So, the p value would be 0.154.
Hence, the p-value is 0.154.
