Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
2001	Find the Linear Correlation Coefficient	table[[x,y],[0,2],[0,2]]	$\begin{array}{c} x & y \\ 0 & 2 \\ 0 & 2 \end{array}$
2002	Find the Linear Correlation Coefficient	table[[x,y],[0,-2],[1,-1],[1,-3],[2,-0.59],[2,-3.41]]	$\begin{array}{c} x & y \\ 0 & - 2 \\ 1 & - 1 \\ 1 & - 3 \\ 2 & - 0.59 \\ 2 & - 3.41 \end{array}$
2003	Find the Linear Correlation Coefficient	table[[x,y],[0,4],[-1,6],[2,0],[1,2]]	$\begin{array}{c} x & y \\ 0 & 4 \\ - 1 & 6 \\ 2 & 0 \\ 1 & 2 \end{array}$
2004	Find the Linear Correlation Coefficient	table[[f(x),y],[-3,0],[3,1],[9,2],[15,3]]	$\begin{array}{c} f (x) & y \\ - 3 & 0 \\ 3 & 1 \\ 9 & 2 \\ 15 & 3 \end{array}$
2005	Find the Linear Correlation Coefficient	table[[t,u],[2,220],[3,290],[4,360],[5,430]]	$\begin{array}{c} t & u \\ 2 & 220 \\ 3 & 290 \\ 4 & 360 \\ 5 & 430 \end{array}$
2006	Find the Linear Correlation Coefficient	table[[x,y],[0.45,438],[0.81,558]]	$\begin{array}{c} x & y \\ 0.45 & 438 \\ 0.81 & 558 \end{array}$
2007	Find the Linear Correlation Coefficient	table[[x,y],[0.5,1],[2.1,4.2],[3.5,7]]	$\begin{array}{c} x & y \\ 0.5 & 1 \\ 2.1 & 4.2 \\ 3.5 & 7 \end{array}$
2008	Find the Linear Correlation Coefficient	table[[x,y],[1,24],[2,16],[3,-24]]	$\begin{array}{c} x & y \\ 1 & 24 \\ 2 & 16 \\ 3 & - 24 \end{array}$
2009	Find the Linear Correlation Coefficient	table[[x,y],[1,3],[2,1],[3,-1]]	$\begin{array}{c} x & y \\ 1 & 3 \\ 2 & 1 \\ 3 & - 1 \end{array}$
2010	Find the Linear Correlation Coefficient	table[[x,y],[1,5],[2,7],[3,9]]	$\begin{array}{c} x & y \\ 1 & 5 \\ 2 & 7 \\ 3 & 9 \end{array}$
2011	Find the Linear Correlation Coefficient	table[[x,y],[1,5],[2,10],[4,30],[8,60],[9,70]]	$\begin{array}{c} x & y \\ 1 & 5 \\ 2 & 10 \\ 4 & 30 \\ 8 & 60 \\ 9 & 70 \end{array}$
2012	Find the Linear Correlation Coefficient	table[[x,y],[-1,-1],[2,8],[5,17],[8,26],[0,0]]	$\begin{array}{c} x & y \\ - 1 & - 1 \\ 2 & 8 \\ 5 & 17 \\ 8 & 26 \\ 0 & 0 \end{array}$
2013	Find the Linear Correlation Coefficient	table[[x,y],[-1,2],[3,6],[1,4]]	$\begin{array}{c} x & y \\ - 1 & 2 \\ 3 & 6 \\ 1 & 4 \end{array}$
2014	Find the Linear Correlation Coefficient	table[[x,y],[1,0],[3,2],[5,4],[7,6]]	$\begin{array}{c} x & y \\ 1 & 0 \\ 3 & 2 \\ 5 & 4 \\ 7 & 6 \end{array}$
2015	Find the Linear Correlation Coefficient	table[[x,y],[1,12],[3,9],[5,6],[7,3]]	$\begin{array}{c} x & y \\ 1 & 12 \\ 3 & 9 \\ 5 & 6 \\ 7 & 3 \end{array}$
2016	Find the Linear Correlation Coefficient	table[[x,p],[1,12],[3,119],[6,973],[8,2350]]	$\begin{array}{c} x & p \\ 1 & 12 \\ 3 & 119 \\ 6 & 973 \\ 8 & 2350 \end{array}$
2017	Find the Linear Correlation Coefficient	table[[x,y],[1,1],[3,9],[6,36],[9,81]]	$\begin{array}{c} x & y \\ 1 & 1 \\ 3 & 9 \\ 6 & 36 \\ 9 & 81 \end{array}$
2018	Find the Linear Correlation Coefficient	table[[x,y],[1,1.3],[4,1.8],[8,2.4],[8,2.3],[9,2.7]]	$\begin{array}{c} x & y \\ 1 & 1.3 \\ 4 & 1.8 \\ 8 & 2.4 \\ 8 & 2.3 \\ 9 & 2.7 \end{array}$
2019	Find the Linear Correlation Coefficient	table[[x,y],[-1,5],[-6,-7],[1,-5],[2,-3],[3,5]]	$\begin{array}{c} x & y \\ - 1 & 5 \\ - 6 & - 7 \\ 1 & - 5 \\ 2 & - 3 \\ 3 & 5 \end{array}$
2020	Find the Linear Correlation Coefficient	table[[x,y],[10,12],[16,21],[31,28],[36,37],[38,40]]	$\begin{array}{c} x & y \\ 10 & 12 \\ 16 & 21 \\ 31 & 28 \\ 36 & 37 \\ 38 & 40 \end{array}$
2021	Find the Linear Correlation Coefficient	table[[x,y],[10,0],[6,0],[5,9]]	$\begin{array}{c} x & y \\ 10 & 0 \\ 6 & 0 \\ 5 & 9 \end{array}$
2022	Find the Linear Correlation Coefficient	table[[x,y],[100,25.4],[200,10.5],[300,4.5],[400,2.1],[500,0.8],[600,0.3],[700,0.4]]	$\begin{array}{c} x & y \\ 100 & 25.4 \\ 200 & 10.5 \\ 300 & 4.5 \\ 400 & 2.1 \\ 500 & 0.8 \\ 600 & 0.3 \\ 700 & 0.4 \end{array}$
2023	Find the Linear Correlation Coefficient	table[[x,y],[100,2],[71,4],[36,46],[96,7],[98,2],[80,9],[91,6],[50,24],[99,3],[53,24],[67,19]]	$\begin{array}{c} x & y \\ 100 & 2 \\ 71 & 4 \\ 36 & 46 \\ 96 & 7 \\ 98 & 2 \\ 80 & 9 \\ 91 & 6 \\ 50 & 24 \\ 99 & 3 \\ 53 & 24 \\ 67 & 19 \end{array}$
2024	Find the Linear Correlation Coefficient	table[[x,y],[11,2],[22,4],[55,6]]	$\begin{array}{c} x & y \\ 11 & 2 \\ 22 & 4 \\ 55 & 6 \end{array}$
2025	Find the Linear Correlation Coefficient	table[[x,y],[12,34],[2,4],[1,1],[3,2],[4,6]]	$\begin{array}{c} x & y \\ 12 & 34 \\ 2 & 4 \\ 1 & 1 \\ 3 & 2 \\ 4 & 6 \end{array}$
2026	Find the Linear Correlation Coefficient	table[[x,y],[12,6],[21,7],[28,8],[37,29],[40,35],[43,45],[38,12]]	$\begin{array}{c} x & y \\ 12 & 6 \\ 21 & 7 \\ 28 & 8 \\ 37 & 29 \\ 40 & 35 \\ 43 & 45 \\ 38 & 12 \end{array}$
2027	Find the Linear Correlation Coefficient	table[[x,y],[12,89],[58,8],[58,8],[89,14],[87,8]]	$\begin{array}{c} x & y \\ 12 & 89 \\ 58 & 8 \\ 58 & 8 \\ 89 & 14 \\ 87 & 8 \end{array}$
2028	Find the Linear Correlation Coefficient	table[[x,y],[14,10],[18,14],[11,9],[16,12],[15,12]]	$\begin{array}{c} x & y \\ 14 & 10 \\ 18 & 14 \\ 11 & 9 \\ 16 & 12 \\ 15 & 12 \end{array}$
2029	Find the Linear Correlation Coefficient	table[[x,y],[1,-6],[2,-9],[3,-12],[4,-15],[5,-18]]	$\begin{array}{c} x & y \\ 1 & - 6 \\ 2 & - 9 \\ 3 & - 12 \\ 4 & - 15 \\ 5 & - 18 \end{array}$
2030	Find the Linear Correlation Coefficient	table[[x,y],[1,7],[2,14],[3,21],[4,28],[5,35]]	$\begin{array}{c} x & y \\ 1 & 7 \\ 2 & 14 \\ 3 & 21 \\ 4 & 28 \\ 5 & 35 \end{array}$
2031	Find the Linear Correlation Coefficient	table[[x,y],[1,7],[2,7],[3,9],[4,10],[5,11]]	$\begin{array}{c} x & y \\ 1 & 7 \\ 2 & 7 \\ 3 & 9 \\ 4 & 10 \\ 5 & 11 \end{array}$
2032	Find the Linear Correlation Coefficient	table[[x,y],[1,1],[2,2],[3,3],[4,4],[9,-20]]	$\begin{array}{c} x & y \\ 1 & 1 \\ 2 & 2 \\ 3 & 3 \\ 4 & 4 \\ 9 & - 20 \end{array}$
2033	Find the Linear Correlation Coefficient	table[[x,y],[1,0.99],[2,1.02],[3,0.97],[4,1.04]]	$\begin{array}{c} x & y \\ 1 & 0.99 \\ 2 & 1.02 \\ 3 & 0.97 \\ 4 & 1.04 \end{array}$
2034	Find the Linear Correlation Coefficient	table[[x,y],[1,0],[2,2],[3,4],[4,6]]	$\begin{array}{c} x & y \\ 1 & 0 \\ 2 & 2 \\ 3 & 4 \\ 4 & 6 \end{array}$
2035	Find the Linear Correlation Coefficient	table[[x,y],[1,0],[2,4],[3,12],[4,24]]	$\begin{array}{c} x & y \\ 1 & 0 \\ 2 & 4 \\ 3 & 12 \\ 4 & 24 \end{array}$
2036	Find the Linear Correlation Coefficient	table[[x,y],[1,-1],[2,3],[3,7],[4,11]]	$\begin{array}{c} x & y \\ 1 & - 1 \\ 2 & 3 \\ 3 & 7 \\ 4 & 11 \end{array}$
2037	Find the Linear Correlation Coefficient	table[[x,y],[1,10],[2,25],[3,40],[4,60]]	$\begin{array}{c} x & y \\ 1 & 10 \\ 2 & 25 \\ 3 & 40 \\ 4 & 60 \end{array}$
2038	Find the Linear Correlation Coefficient	table[[x,y],[1,-16],[2,-25],[3,-34],[4,-43]]	$\begin{array}{c} x & y \\ 1 & - 16 \\ 2 & - 25 \\ 3 & - 34 \\ 4 & - 43 \end{array}$
2039	Find the Linear Correlation Coefficient	table[[x,y],[1,5],[2,1],[3,4],[4,3]]	$\begin{array}{c} x & y \\ 1 & 5 \\ 2 & 1 \\ 3 & 4 \\ 4 & 3 \end{array}$
2040	Find the Linear Correlation Coefficient	table[[x,y],[1,-7],[2,-9],[3,-11],[4,-13]]	$\begin{array}{c} x & y \\ 1 & - 7 \\ 2 & - 9 \\ 3 & - 11 \\ 4 & - 13 \end{array}$
2041	Find the Linear Correlation Coefficient	table[[x,y],[0,1],[1,1.2],[2,1.44],[3,1.728],[4,2.0736]]	$\begin{array}{c} x & y \\ 0 & 1 \\ 1 & 1.2 \\ 2 & 1.44 \\ 3 & 1.728 \\ 4 & 2.0736 \end{array}$
2042	Find the Linear Correlation Coefficient	table[[x,y],[0,100],[1,50],[2,25],[3,12.5],[4,6.25]]	$\begin{array}{c} x & y \\ 0 & 100 \\ 1 & 50 \\ 2 & 25 \\ 3 & 12.5 \\ 4 & 6.25 \end{array}$
2043	Find the Number of Possibilities	40^P*3	$40^{P} \cdot 3$
2044	Find the Number of Possibilities	43/(38C^5)	$\frac{43}{38 C^{5}}$
2045	Find the Number of Possibilities	(5P^2)/(2!)-5C^2	$\frac{5 P^{2}}{2!} - 5 C^{2}$
2046	Find the Number of Possibilities	(6C^3)/(4c^3)-83/81	$\frac{6 C^{3}}{4 c^{3}} - \frac{83}{81}$
2047	Find the Number of Possibilities	(6P^3)/3	$\frac{6 P^{3}}{3}$
2048	Find the Number of Possibilities	98^C*9	$98^{C} \cdot 9$
2049	Find the Number of Possibilities	A/B+C/D	$\frac{A}{B} + \frac{C}{D}$
2050	Find the Number of Possibilities	P/(NP)	$\frac{P}{N P}$
2051	Find the Number of Possibilities	square root of 1*(6P^85)	$\sqrt{1} \cdot (6 P^{85})$
2052	Find the Number of Possibilities	square root of 5x-1P square root of 5x-1	$\sqrt{5 x - 1} P \sqrt{5 x - 1}$
2053	Find the Number of Possibilities	0.84C*0.67	$0.84 C \cdot 0.67$
2054	Find the Number of Possibilities	0 choose 3	${}_{0}C_{3}$
2055	Find the Number of Possibilities	( log base 3 of P)/( log base 3 of R)	$\frac{\log_{3} (P)}{\log_{3} (R)}$
2056	Find the Number of Possibilities	44 choose 5	${}_{44}C_{5}$
2057	Find the Number of Possibilities	1/(6C^3)	$\frac{1}{6 C^{3}}$
2058	Find the Number of Possibilities	1/(3!)*(8P^3)	$\frac{1}{3!} \cdot (8 P^{3})$
2059	Find the Number of Possibilities	10C^4(x)^6(3)^4	$10 C^{4} {(x)}^{6} {(3)}^{4}$
2060	Find the Number of Possibilities	18^C*2	$18^{C} \cdot 2$
2061	Find the Number of Possibilities	-2^10*(19C^9)	$- 2^{10} \cdot (19 C^{9})$
2062	Find the Variance of the Frequency Table	table[[Class,Frequency],[90-99,4],[80-89,6],[70-79,4],[60-69,3],[50-59,2],[40-49,1]]	$\begin{array}{c} Class & Frequency \\ 90 - 99 & 4 \\ 80 - 89 & 6 \\ 70 - 79 & 4 \\ 60 - 69 & 3 \\ 50 - 59 & 2 \\ 40 - 49 & 1 \end{array}$
2063	Find the Number of Possibilities	(20P^6)/(6!)-20C^6	$\frac{20 P^{6}}{6!} - 20 C^{6}$
2064	Find the Number of Possibilities	(2pi)/2*(5C^3)	$\frac{2 π}{2} \cdot (5 C^{3})$
2065	Find the Variance	table[[x,P(x)],[1,0.3],[3,0.1],[0,0.2],[2,0.3],[4,0.1]]	$\begin{array}{c} x & P (x) \\ 1 & 0.3 \\ 3 & 0.1 \\ 0 & 0.2 \\ 2 & 0.3 \\ 4 & 0.1 \end{array}$
2066	Find the Variance	table[[x,P(x)],[2,25],[4,50]]	$\begin{array}{c} x & P (x) \\ 2 & 25 \\ 4 & 50 \end{array}$
2067	Find the Variance	table[[x,P(x)],[2.0,5],[2.5,38],[3.0,65],[3.5,92],[4.0,70],[4.5,40],[5.0,32],[5.5,18],[6.0,7]]	$\begin{array}{c} x & P (x) \\ 2 & 5 \\ 2.5 & 38 \\ 3 & 65 \\ 3.5 & 92 \\ 4 & 70 \\ 4.5 & 40 \\ 5 & 32 \\ 5.5 & 18 \\ 6 & 7 \end{array}$
2068	Find the Variance	table[[x,P(x)],[5,0.1],[10,0.2],[13,0.3],[16,0.1],[17,0.3]]	$\begin{array}{c} x & P (x) \\ 5 & 0.1 \\ 10 & 0.2 \\ 13 & 0.3 \\ 16 & 0.1 \\ 17 & 0.3 \end{array}$
2069	Find the Number of Possibilities	((1a)(14P))/5*5	$\frac{(1 a) (14 P)}{5} \cdot 5$
2070	Find the Number of Possibilities	3 permute 20	${}_{3}P_{20}$
2071	Find the Number of Possibilities	((17C^2)(8C^4))/(25C^6)	$\frac{(17 C^{2}) (8 C^{4})}{25 C^{6}}$
2072	Find the Number of Possibilities	(( square root of x+3)^2)^(2P^333)	${({(\sqrt{x + 3})}^{2})}^{2 P^{333}}$
2073	Find the Variance	5 , 17 , 8 , 13 , 19 , 15 , 10 , 18 , 16	$5$ , $17$ , $8$ , $13$ , $19$ , $15$ , $10$ , $18$ , $16$
2074	Find the Variance	-5 , -8	$- 5$ , $- 8$
2075	Find the Variance	54556 , 1545 , 35385 , 46055 , 10555 , 9614 , 59425 , 69898 , 12407 , 32020 , 24230 , 42143	$54556$ , $1545$ , $35385$ , $46055$ , $10555$ , $9614$ , $59425$ , $69898$ , $12407$ , $32020$ , $24230$ , $42143$
2076	Find the Variance	56 , 38 , 60 , 30 , 40 , 42 , 37 , 76 , 39 , 53 , 45 , 36 , 62 , 43 , 51 , 32 , 42 , 54 , 52 , 37 , 38 , 32 , 45 , 60 , 46 , 40 , 36 , 47 , 29 , 43 , 37 , 38 , 45 , 50 , 48 , 60	$56$ , $38$ , $60$ , $30$ , $40$ , $42$ , $37$ , $76$ , $39$ , $53$ , $45$ , $36$ , $62$ , $43$ , $51$ , $32$ , $42$ , $54$ , $52$ , $37$ , $38$ , $32$ , $45$ , $60$ , $46$ , $40$ , $36$ , $47$ , $29$ , $43$ , $37$ , $38$ , $45$ , $50$ , $48$ , $60$
2077	Find the Variance	57 , 79 , 82 , 90 , 93 , 93	$57$ , $79$ , $82$ , $90$ , $93$ , $93$
2078	Find the Variance	57 , 5 , 39	$57$ , $5$ , $39$
2079	Find the Variance	57 , 86 , 39 , 52 , 30 , 78	$57$ , $86$ , $39$ , $52$ , $30$ , $78$
2080	Find the Variance	6 , 12 , 15 , 22 , 18 , 14 , 8 , 17	$6$ , $12$ , $15$ , $22$ , $18$ , $14$ , $8$ , $17$
2081	Find the Variance	6 , 13 , 10 , 15 , 20 , 16 , 11 , 19 , 17	$6$ , $13$ , $10$ , $15$ , $20$ , $16$ , $11$ , $19$ , $17$
2082	Find the Variance	6 , 8 , 89 , 13 , 13 , 15 , 19 , 19	$6$ , $8$ , $89$ , $13$ , $13$ , $15$ , $19$ , $19$
2083	Find the Variance	7 , 13 , 16 , 25 , 10 , 15 , 14 , 18	$7$ , $13$ , $16$ , $25$ , $10$ , $15$ , $14$ , $18$
2084	Find the Variance	7 , 3	$7$ , $3$
2085	Find the Variance	7 , 9 , 9 , 7 , 8	$7$ , $9$ , $9$ , $7$ , $8$
2086	Transpose	[[1,4,-2,21],[3,-6,-3,-18],[2,4,1,37]]	$[\begin{array}{c} 1 & 4 & - 2 & 21 \\ 3 & - 6 & - 3 & - 18 \\ 2 & 4 & 1 & 37 \end{array}]$
2087	Transpose	[[1,4,-3,-2],[0,1,8,-3],[0,0,0,0]]	$[\begin{array}{c} 1 & 4 & - 3 & - 2 \\ 0 & 1 & 8 & - 3 \\ 0 & 0 & 0 & 0 \end{array}]$
2088	Transpose	[[1,4,5,1,0,0,56],[2,2,1,0,1,0,18],[-1,-6,-2,0,0,1,0]]	$[\begin{array}{c} 1 & 4 & 5 & 1 & 0 & 0 & 56 \\ 2 & 2 & 1 & 0 & 1 & 0 & 18 \\ - 1 & - 6 & - 2 & 0 & 0 & 1 & 0 \end{array}]$
2089	Transpose	[[1,-5,4],[2,2,5]]	$[\begin{array}{c} 1 & - 5 & 4 \\ 2 & 2 & 5 \end{array}]$
2090	Find the Standard Deviation	table[[x,P(x)],[0,7],[11,101],[23,220],[30,280],[45,421],[81,n]]	$\begin{array}{c} x & P (x) \\ 0 & 7 \\ 11 & 101 \\ 23 & 220 \\ 30 & 280 \\ 45 & 421 \\ 81 & n \end{array}$
2091	Find the Standard Deviation	table[[x,P(x)],[-1,1/3],[0,1],[1,3],[2,9],[3,27]]	$\begin{array}{c} x & P (x) \\ - 1 & \frac{1}{3} \\ 0 & 1 \\ 1 & 3 \\ 2 & 9 \\ 3 & 27 \end{array}$
2092	Find the Standard Deviation	table[[x,P(x)],[-1,3/2],[0,1/2],[1,1/6],[2,1/18],[3,1/54]]	$\begin{array}{c} x & P (x) \\ - 1 & \frac{3}{2} \\ 0 & \frac{1}{2} \\ 1 & \frac{1}{6} \\ 2 & \frac{1}{18} \\ 3 & \frac{1}{54} \end{array}$
2093	Find the Standard Deviation	table[[x,P(x)],[1,0.29],[2,0.45],[3,0.12],[4,0.14]]	$\begin{array}{c} x & P (x) \\ 1 & 0.29 \\ 2 & 0.45 \\ 3 & 0.12 \\ 4 & 0.14 \end{array}$
2094	Find the Standard Deviation	table[[x,P(x)],[1,0.3],[2,0.46],[3,0.12],[4,0.12]]	$\begin{array}{c} x & P (x) \\ 1 & 0.3 \\ 2 & 0.46 \\ 3 & 0.12 \\ 4 & 0.12 \end{array}$
2095	Find the Standard Deviation	table[[x,P(x)],[1,3],[2,6],[5,20],[7,55],[22,233]]	$\begin{array}{c} x & P (x) \\ 1 & 3 \\ 2 & 6 \\ 5 & 20 \\ 7 & 55 \\ 22 & 233 \end{array}$
2096	Find the Standard Deviation	table[[x,P(x)],[149.5-169.5,4],[169.5-189.5,11],[189.5-209.5,15],[209.5-229.5,25]]	$\begin{array}{c} x & P (x) \\ 149.5 - 169.5 & 4 \\ 169.5 - 189.5 & 11 \\ 189.5 - 209.5 & 15 \\ 209.5 - 229.5 & 25 \end{array}$
2097	Find the Standard Deviation	table[[x,P(x)],[-2,18],[1,9],[4,0]]	$\begin{array}{c} x & P (x) \\ - 2 & 18 \\ 1 & 9 \\ 4 & 0 \end{array}$
2098	Find the Standard Deviation	table[[x,P(x)],[0,2],[1,5],[2,7],[3,4],[4,2]]	$\begin{array}{c} x & P (x) \\ 0 & 2 \\ 1 & 5 \\ 2 & 7 \\ 3 & 4 \\ 4 & 2 \end{array}$
2099	Find the Standard Deviation	table[[x,P(x)],[0,2],[1,52],[2,102],[3,152]]	$\begin{array}{c} x & P (x) \\ 0 & 2 \\ 1 & 52 \\ 2 & 102 \\ 3 & 152 \end{array}$
2100	Find the Standard Deviation	table[[x,P(x)],[5,0.188],[4,0.165],[3,0.152],[2,0.146],[1,0.348]]	$\begin{array}{c} x & P (x) \\ 5 & 0.188 \\ 4 & 0.165 \\ 3 & 0.152 \\ 2 & 0.146 \\ 1 & 0.348 \end{array}$