A set of sweater prices are normally distributed with a mean of 58 dollars and a standard deviation of 5 dollars. What proportio
1 answer:
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Exponential laws
![x^{\frac{m}{n}}=\sqrt[n]{x^{m}}](https://tex.z-dn.net/?f=%20x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Bx%5E%7Bm%7D%7D%20)
so
(m^(2/3))^(1/2)=m^(2/3 times 1/2)=m^(2/6)=m^(1/3)=![\sqrt[3]{m^{1}}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bm%5E%7B1%7D%7D%20)
= ![\sqrt[3]{m}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bm%7D%20)
so
(m^(2/3))^(1/2)=m^(2/3 times 1/2)=m^(2/6)=m^(1/3)=
Answer:
Choice B
The mathematical model that best fits the data is a polynomial of order 2 as shown on the attachment.
The predicted global mean temperature in 2015 is; 412.24
Step-by-step explanation:
The first step is to obtain a scatter plot of the data and then fit a trend line. A quadratic polynomial fits the data well considering the large value of the coefficient of determination of 0.9984.
To determine the global mean temperature in 2015 we substitute x with 14 in the quadratic model;
y = 0.4643(14)^2 + 0.7976 (14) + 310.07
= 412.24
