The interquartile range = Third quartile - First quartile = 22 - 15 = 7
The range = 25 - 12 = 13
<h3>What is the
Interquartile Range (IQR) and Range ofa Data?</h3>
Range = largest data value - the least data value
Interquartile range = Q3 - Q1
Given the following weekly allowance of Sean's classmates as, 15, 15, 22, 14, 12, 24, 16, 25, 15, 15:
Third quartile (Q3) = 22
First quartile (Q1) = 15
Interquartile range = 22 - 15 = 7
Range = 25 - 12 = 13
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Are you sure you want ONLY the coefficient of b? If you expand this, you will have b in 3 of 4 terms.
According to Pascal's Triangle, the coefficients of (a+b)^4 are as follows:
1
1 2 1
1 3 3 1
1 4 6 4 1
So (a+b)^4 would be 1a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4
Here, you want (3 + b)^4. Here's what that looks like:
3^4 + 4[3^3*b] + 6[3^2*b^2] + 4[3*b^3] + 1[b^4]
Which coeff did you want?
now, we're assuming they're directly proportional, so say y = miles, x = hours.
![\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} y=\frac{4}{5}\\[0.8em] x=\frac{1}{8} \end{cases}\implies \cfrac{4}{5}=k\cfrac{1}{8}\implies \cfrac{4}{5}=\cfrac{k}{8} \\\\\\ \cfrac{8\cdot 4}{5}=k\implies \cfrac{32}{5}=k\implies 6\frac{2}{5}=k](https://tex.z-dn.net/?f=%5Cbf%20%5Cqquad%20%5Cqquad%20%5Ctextit%7Bdirect%20proportional%20variation%7D%20%5C%5C%5C%5C%20%5Ctextit%7B%5Cunderline%7By%7D%20varies%20directly%20with%20%5Cunderline%7Bx%7D%7D%5Cqquad%20%5Cqquad%20y%3Dkx%5Cimpliedby%20%5Cbegin%7Barray%7D%7Bllll%7D%20k%3Dconstant%5C%20of%5C%5C%20%5Cqquad%20variation%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Ctextit%7Bwe%20know%20that%20%7D%20%5Cbegin%7Bcases%7D%20y%3D%5Cfrac%7B4%7D%7B5%7D%5C%5C%5B0.8em%5D%20x%3D%5Cfrac%7B1%7D%7B8%7D%20%5Cend%7Bcases%7D%5Cimplies%20%5Ccfrac%7B4%7D%7B5%7D%3Dk%5Ccfrac%7B1%7D%7B8%7D%5Cimplies%20%5Ccfrac%7B4%7D%7B5%7D%3D%5Ccfrac%7Bk%7D%7B8%7D%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B8%5Ccdot%204%7D%7B5%7D%3Dk%5Cimplies%20%5Ccfrac%7B32%7D%7B5%7D%3Dk%5Cimplies%206%5Cfrac%7B2%7D%7B5%7D%3Dk)
Answer:
Step-by-step explanation: A composite number is defined to be a number which has other divisors besides 1 and the number itself. Start counting:1, 2, 3, 4, 5, 6……….
1 is not a composite number because its sole divisor is 1. 2 is not a composite number because it has only two divisors 1 and the number 2 itself. 3 is in the same class as 2.
But 4 is different. Its divisors are 1,2,4. So this number satisfies the criterion of a composite number as stated above since besides 1 and 4, 2 is also a divisor. 4 is also the smallest composite number. The next composite number after 4 is 6 which has as divisors 1,2,3,6.
Step-by-step explanation:
hope this helps
