Generally speaking, the number of solutions to an algebraic equation is equal to the exponent of the highest power. so the answer is b.4
The first one is -5,-3 ab.
Answer:
117 grams
Step-by-step explanation:
So this is a oddly phrased question but I believe I understand it. You need to find 10 percent of 1170 grams and that it 117. And for you information I did use calculator to prevent error so don't worry about that.
Answer:
C:It is a strong positive correlation,and it is not likely causal.
Step-by-step explanation:
Correlation refers to the relationship between the two variables i.e x and y. It has mainly two types of correlation. The first one is positive and the other one is negative. It lied between -1 to 1. The 1 represents the strong positive correlation while the -1 represents the strong negative correlation
Since the correlation coefficient is 0.74 which is nearest to 1 so it denotes the strong positive correlation and thus is not causal
Hence, the correct option is c.
Answer:
Variance = 24900
Standard Deviation = 157.7973
Step-by-step explanation:
We are given the following in the question:
Number of admissions: 1000 1200 1500
Admissions Probability: 0.6 0.3 0.1
Formula:
![E(x) = \displaystyle\sum x_iP(x_i)\\E(x) = 1000(0.6) + 1200(0.3) + 1500(0.1)\\E(x) = 1110\\E(x^2) = \displaystyle\sum x_i^2P(x_i)\\E(x^2) = (1000)^2(0.6) + (1200)^2(0.3) + (1500)^2(0.1)\\E(x^2) = 1257000](https://tex.z-dn.net/?f=E%28x%29%20%3D%20%5Cdisplaystyle%5Csum%20x_iP%28x_i%29%5C%5CE%28x%29%20%3D%201000%280.6%29%20%2B%201200%280.3%29%20%2B%201500%280.1%29%5C%5CE%28x%29%20%3D%201110%5C%5CE%28x%5E2%29%20%3D%20%20%5Cdisplaystyle%5Csum%20x_i%5E2P%28x_i%29%5C%5CE%28x%5E2%29%20%3D%20%281000%29%5E2%280.6%29%20%2B%20%281200%29%5E2%280.3%29%20%2B%20%281500%29%5E2%280.1%29%5C%5CE%28x%5E2%29%20%3D%201257000)
Variance =
![\sigma^2 = E(x^2) - (E(x))^2\\\sigma^2 = 1257000 -(1110)^2\\\sigma^2 =24900](https://tex.z-dn.net/?f=%5Csigma%5E2%20%3D%20E%28x%5E2%29%20-%20%28E%28x%29%29%5E2%5C%5C%5Csigma%5E2%20%3D%201257000%20-%281110%29%5E2%5C%5C%5Csigma%5E2%20%3D24900)
Thus, the variance is 24900.
Standard Deviation =
![\sigma = \sqrt{\sigma^2} = \sqrt{24900} = 157.7973](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7B%5Csigma%5E2%7D%20%3D%20%5Csqrt%7B24900%7D%20%3D%20157.7973)
Thus, the standard deviation is 157.7973