Check the picture below. Recall your SOH CAH TOA.
Scores on an AP Exam at a local high school are recorded in the table. What was the average score?
Answer: D) 4.266 is correct
Explanation:
We are given the below frequency table:
Score Frequency
1 | 0
2 | 3
3 | 4
4 | 16
5 | 22
Let's denote the score by
and frequency by
.
The average formula is:




Therefore, the average score was 4.267
Hence the option D) 4.266
Y = mx + b
slope(m) = -2/3
(2,-5)...x = 2 and y = -5
now we sub, we r looking for b, the y int
-5 = -2/3(2) + b
-5 = - 4/3 + b
-5 + 4/3 = b
- 15/3 + 4/3 = b
- 11/3 = b
equation is : y = -2/3x - 11/3...but we need it in standard form
Ax + By = C
y = -2/3x - 11/3
2/3x + y = - 11/3....multiply by 3
2x + 3y = -11 <== standard form
Answer:


Step-by-step explanation:
a.
![[\because \int \dfrac{dx}{x}=\log |x|+C]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cint%20%5Cdfrac%7Bdx%7D%7Bx%7D%3D%5Clog%20%7Cx%7C%2BC%5D)
b.
![[\because \int x^n dx=\dfrac{x^{n+1}}{n+1}+C]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cint%20x%5En%20dx%3D%5Cdfrac%7Bx%5E%7Bn%2B1%7D%7D%7Bn%2B1%7D%2BC%5D)
c.
![[\because \dfrac{adx}{x\sqrt{x^2-a^2}}=\csc^{-1}(\dfrac{x}{a})+C]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cdfrac%7Badx%7D%7Bx%5Csqrt%7Bx%5E2-a%5E2%7D%7D%3D%5Ccsc%5E%7B-1%7D%28%5Cdfrac%7Bx%7D%7Ba%7D%29%2BC%5D)
Answer:
(4,7) and (0,1)
Step-by-step explanation:
(7-4)/(4-2) = 3/ 2, and (4-1)/(2-0) = 3/2.