Desmos comes in handy with these problems. Use the "FOIL" method for each of them and then plug them into the calculator of desmos. This will graph each other them. Note the x and y axis'
Example for (A) y= (x-2)(x+3) foil it:
x^2+3x-2x-6
x^2+x-6
plug that in and match to graph.
The answer to the question is C
9514 1404 393
Answer:
C. x = 17.6
Step-by-step explanation:
The relevant relation between sides and angles is ...
Tan = Opposite/Adjacent
tan(32°) = 11/x
x = 11/tan(32°) ≈ 17.60
The appropriate choice is ...
x = 17.6
Answer:
61.1% of high school student who took the SAT in 2015 will have a critical reading SAT score between 400 and 600 points.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 495
Standard Deviation, σ = 116
We are given that the distribution of scores from the 2015 school year for high school students in the United States is a bell shaped distribution that is a normal distribution.
Formula:
![z_{score} = \displaystyle\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z_%7Bscore%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
P(SAT score between 400 and 600 points)
![P(400 \leq x \leq 600) = P(\displaystyle\frac{400 - 495}{116} \leq z \leq \displaystyle\frac{600-495}{116}) = P(-0.818 \leq z \leq 0.905)\\\\= P(z \leq 0.905) - P(z < -0.818)\\= 0.8173 - 0.2064= 0.6109 \approx 61.1\%](https://tex.z-dn.net/?f=P%28400%20%5Cleq%20x%20%5Cleq%20600%29%20%3D%20P%28%5Cdisplaystyle%5Cfrac%7B400%20-%20495%7D%7B116%7D%20%5Cleq%20z%20%5Cleq%20%5Cdisplaystyle%5Cfrac%7B600-495%7D%7B116%7D%29%20%3D%20P%28-0.818%20%5Cleq%20z%20%5Cleq%200.905%29%5C%5C%5C%5C%3D%20P%28z%20%5Cleq%200.905%29%20-%20P%28z%20%3C%20-0.818%29%5C%5C%3D%200.8173%20-%200.2064%3D%200.6109%20%5Capprox%2061.1%5C%25)
![P(400 \leq x \leq 600) = 61.1\%](https://tex.z-dn.net/?f=P%28400%20%5Cleq%20x%20%5Cleq%20600%29%20%3D%2061.1%5C%25)
Thus, 61.1% of high school student who took the SAT in 2015 will have a critical reading SAT score between 400 and 600 points.