The area under a graph is given by the integral of that function, evaluated in the interval of interest:
![\displaystyle \int_{-3}^2 x^2+4\;dx = \left[\dfrac{x^3}{3}+4x\right]_{-3}^2 = \left[\dfrac{2^3}{3}+4\cdot 2\right]-\left[\dfrac{(-3)^3}{3}+4\cdot(-3)\right] = \left[\dfrac{8}{3}+8\right]-\left[-9-12\right] = \dfrac{32}{3}+21 = \dfrac{95}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint_%7B-3%7D%5E2%20x%5E2%2B4%5C%3Bdx%20%3D%20%5Cleft%5B%5Cdfrac%7Bx%5E3%7D%7B3%7D%2B4x%5Cright%5D_%7B-3%7D%5E2%20%3D%20%5Cleft%5B%5Cdfrac%7B2%5E3%7D%7B3%7D%2B4%5Ccdot%202%5Cright%5D-%5Cleft%5B%5Cdfrac%7B%28-3%29%5E3%7D%7B3%7D%2B4%5Ccdot%28-3%29%5Cright%5D%20%3D%20%5Cleft%5B%5Cdfrac%7B8%7D%7B3%7D%2B8%5Cright%5D-%5Cleft%5B-9-12%5Cright%5D%20%3D%20%5Cdfrac%7B32%7D%7B3%7D%2B21%20%3D%20%5Cdfrac%7B95%7D%7B3%7D)
256 being rounded would become 260 and 321 would become 320 so adding up the estimates the would be 580 (real answer is 577)
Use the unit circle. Of the choices given, only cos 45 and sin 45 are equal to positive sqrt2/2.
Answer:

Step-by-step explanation:

Answer:
P(K > 2.2) = 0.1375
Step-by-step explanation:
We have that:
P(-2.2 ≤ K ≤ 2.2) = 0.725
P(K < -2.2) = P(K > 2.2)
It means that the distribution is symmetric.
The sum of all the probabilities is decimal 1.
We have the following probabilities:
P(K < 2.2)
P(-2.2 ≤ K ≤ 2.2)
P(K > 2.2)
So
P(K < 2.2) + P(-2.2 ≤ K ≤ 2.2) + P(K > 2.2) = 1
Since P(K < 2.2) = P(K > 2.2)
P(K > 2.2) + P(-2.2 ≤ K ≤ 2.2) + P(K > 2.2) = 1
2P(K > 2.2) + 0.725 = 1.
2P(K > 2.2) = 1 - 0.725
2P(K > 2.2) = 0.275
P(K > 2.2) = 0.275/2
P(K > 2.2) = 0.1375