Answer:
![\sf C. \quad \dfrac{1}{9}](https://tex.z-dn.net/?f=%5Csf%20C.%20%5Cquad%20%5Cdfrac%7B1%7D%7B9%7D)
Step-by-step explanation:
<u>Addition Law for Probability</u>
![\sf P(A \cup B)=P(A)+P(B)-P(A \cap B)](https://tex.z-dn.net/?f=%5Csf%20P%28A%20%5Ccup%20B%29%3DP%28A%29%2BP%28B%29-P%28A%20%5Ccap%20B%29)
Given:
![\sf P(A)=\dfrac{1}{3}=\dfrac{3}{9}](https://tex.z-dn.net/?f=%5Csf%20P%28A%29%3D%5Cdfrac%7B1%7D%7B3%7D%3D%5Cdfrac%7B3%7D%7B9%7D)
![\sf P(B)=\dfrac{2}{9}](https://tex.z-dn.net/?f=%5Csf%20P%28B%29%3D%5Cdfrac%7B2%7D%7B9%7D)
![\sf P(A \cup B)=\dfrac{4}{9}](https://tex.z-dn.net/?f=%5Csf%20P%28A%20%5Ccup%20B%29%3D%5Cdfrac%7B4%7D%7B9%7D)
Substitute the given values into the formula and solve for P(A ∩ B):
![\implies \sf P(A \cup B) = P(A)+P(B)-P(A \cap B)](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20P%28A%20%5Ccup%20B%29%20%3D%20P%28A%29%2BP%28B%29-P%28A%20%5Ccap%20B%29)
![\implies \sf \dfrac{4}{9} = \sf \dfrac{3}{9}+\dfrac{2}{9}-P(A \cap B)](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20%5Cdfrac%7B4%7D%7B9%7D%20%3D%20%5Csf%20%5Cdfrac%7B3%7D%7B9%7D%2B%5Cdfrac%7B2%7D%7B9%7D-P%28A%20%5Ccap%20B%29)
![\implies \sf P(A \cap B) = \sf \dfrac{3}{9}+\dfrac{2}{9}-\dfrac{4}{9}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20P%28A%20%5Ccap%20B%29%20%3D%20%5Csf%20%5Cdfrac%7B3%7D%7B9%7D%2B%5Cdfrac%7B2%7D%7B9%7D-%5Cdfrac%7B4%7D%7B9%7D)
![\implies \sf P(A \cap B) = \sf \dfrac{3+2-4}{9}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20P%28A%20%5Ccap%20B%29%20%3D%20%5Csf%20%5Cdfrac%7B3%2B2-4%7D%7B9%7D)
![\implies \sf P(A \cap B) = \sf \dfrac{1}{9}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20P%28A%20%5Ccap%20B%29%20%3D%20%5Csf%20%5Cdfrac%7B1%7D%7B9%7D)
Distribute the -4. Then combine like terms.
24 - 4(5y - 6z) + 3y - 7z =
= 24 - 20y + 24z + 3y - 7z
= - 20y + 3y + 24z - 7z + 24
= -17y + 17z + 24
For this equation, we can simply divide the box's total (124) by 4 servings. 124/4 = 31. So, there is 31 crackers per serving.
Volume of cone=(1/3)hpir^2
d/2=r
d=2
d/2=2/2=1=r
h=6
V=(1/3)6pi1^2
V=2pi in^3 is volume
ratio of 2:1
2+1=3
2pi=3 units
divide both sides by 3
2/3pi=1 unit
vanila=2 units
times 2/3pi by 2
4/3pi
aprox pi=3.141592
4.188
round
4.2 in^3 of vanilla
Just divide 105 by 20
this gives you 5 5/20
this can then be reduced to 5 1/4
answer: 5 1/4