Answer:B
Step-by-step explanation:
Answer:
5th degree
Step-by-step explanation:
To solve this problem/table, you have to find the differences in the f(x) side of the table until the differences between the numbers are the same, and then you have your degree. Look at the image attached for more sense
Answer:
a. 4.33.
Step-by-step explanation:
If there is only one correct answer out of four alternatives, the expected proportion of correct answers is p =0.25
Sample size (n) = 100 questions
The standard deviation of a proportion 'p' is given by:
![s=\sqrt{\frac{p*(1-p)}{n} }](https://tex.z-dn.net/?f=s%3D%5Csqrt%7B%5Cfrac%7Bp%2A%281-p%29%7D%7Bn%7D%20%7D)
Applying the given data:
![s=\sqrt{\frac{0.25*(1-0.25)}{100}}\\s=0.0433](https://tex.z-dn.net/?f=s%3D%5Csqrt%7B%5Cfrac%7B0.25%2A%281-0.25%29%7D%7B100%7D%7D%5C%5Cs%3D0.0433)
If X is the number of correct responses in 100 guesses, the standard deviation of X is:
![\sigma = n*s=100*0.0433\\\sigma = 4.33](https://tex.z-dn.net/?f=%5Csigma%20%3D%20n%2As%3D100%2A0.0433%5C%5C%5Csigma%20%3D%204.33)
The standard deviation of X is 4.33 questions.
Answer:
The value of c is 8.
Step-by-step explanation:
When a function is divisible by a factor, it will get 0 value. So, you have to substitute x = -2 into p(x) and equals to 0 :
![p(x) = 4 {x}^{3} + c {x}^{2} + x + 2](https://tex.z-dn.net/?f=p%28x%29%20%3D%204%20%7Bx%7D%5E%7B3%7D%20%20%2B%20c%20%7Bx%7D%5E%7B2%7D%20%20%2B%20x%20%2B%202)
![p( - 2) = 4 {( - 2)}^{3} + c {( - 2)}^{2} + ( - 2) + 2](https://tex.z-dn.net/?f=p%28%20-%202%29%20%3D%204%20%7B%28%20-%202%29%7D%5E%7B3%7D%20%20%2B%20c%20%7B%28%20-%202%29%7D%5E%7B2%7D%20%20%2B%20%28%20-%202%29%20%2B%202)
![4( - 8) + 4c - 2 + 2 = 0](https://tex.z-dn.net/?f=4%28%20-%208%29%20%2B%204c%20-%202%20%2B%202%20%3D%200)
![- 32 + 4c = 0](https://tex.z-dn.net/?f=%20-%2032%20%2B%204c%20%3D%200)
![4c = 32](https://tex.z-dn.net/?f=4c%20%3D%2032)
![c = 32 \div 4](https://tex.z-dn.net/?f=c%20%3D%2032%20%5Cdiv%204)
![c = 8](https://tex.z-dn.net/?f=c%20%3D%208)
Answer:
$6
Step-by-step explanation:
Divide 1.80 by 3, then multiply that answer by 10.