In general, the probability of a disjunction is
![P(A \lor B) = P(A)+P(B)-P(A\cap B)](https://tex.z-dn.net/?f=P%28A%20%5Clor%20B%29%20%3D%20P%28A%29%2BP%28B%29-P%28A%5Ccap%20B%29)
In this case, A and B are mutually exclusive, so ![P(A\cap B)=0](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%3D0)
This simplifies the formula to
![P(A \lor B) = P(A)+P(B) = 0.22+0.46 = 0.68](https://tex.z-dn.net/?f=P%28A%20%5Clor%20B%29%20%3D%20P%28A%29%2BP%28B%29%20%3D%200.22%2B0.46%20%3D%200.68)
Answer:
792x8=6336
Step-by-step explanation:
i used a calculator
4(a-9)=-30
Hope this helps!
Answer:
<em>(2, -3)</em>
<u><em>Solve the equation</em></u>
<em />![\left \{ {{2x-3y=13} \atop {x+2y=-4}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B2x-3y%3D13%7D%20%5Catop%20%7Bx%2B2y%3D-4%7D%7D%20%5Cright.)
<u><em>Rearrange like terms to the same side of the equation</em></u>
<u><em /></u>![\left \{ {{2x-3y=13} \atop {x=-4-2y}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B2x-3y%3D13%7D%20%5Catop%20%7Bx%3D-4-2y%7D%7D%20%5Cright.)
<u><em>Substitute into one of the equations</em></u>
<u><em /></u>![2(-4-2y)-3y=13](https://tex.z-dn.net/?f=2%28-4-2y%29-3y%3D13)
<u><em>Apply the Distributive Property</em></u>
<u><em /></u>![-8-4y-3y=13](https://tex.z-dn.net/?f=-8-4y-3y%3D13)
<u><em>Combine like terms</em></u>
![-8-7y=13](https://tex.z-dn.net/?f=-8-7y%3D13)
<u><em>Rearrange variables to the left side of the equation</em></u>
![-7y=13+8](https://tex.z-dn.net/?f=-7y%3D13%2B8)
<u><em>Calculate the sum or difference</em></u>
<u><em /></u>![-7y=21](https://tex.z-dn.net/?f=-7y%3D21)
<u><em>Divide both sides of the equation by the coefficient of variable</em></u>
<u><em /></u>![y=-\frac{21}{7}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B21%7D%7B7%7D)
<u><em>Cross out the common factor</em></u>
<u><em /></u>![y=-3](https://tex.z-dn.net/?f=y%3D-3)
<u><em>Substitute into one of the equations</em></u>
<u><em /></u>![x=-4-2\times(-3)](https://tex.z-dn.net/?f=x%3D-4-2%5Ctimes%28-3%29)
<u><em>Calculate</em></u>
<u><em /></u>![x=2](https://tex.z-dn.net/?f=x%3D2)
<u><em>The solution of the system is</em></u>
<u><em /></u>![\left \{ {{x=2} \atop {y=-3}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7Bx%3D2%7D%20%5Catop%20%7By%3D-3%7D%7D%20%5Cright.)
<em>I hope this helps you</em>
<em>:)</em>
Answer:
![25\ pizzas](https://tex.z-dn.net/?f=25%5C%20pizzas)
Step-by-step explanation:
we know that
2 pizzas that had extra cheese represent 8% of the total of pizzas
so
by proportion
Find the number of total pizzas
![\frac{2}{8\%}=\frac{x}{100\%}\\ \\x=100*2/8\\ \\x=25\ pizzas](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B8%5C%25%7D%3D%5Cfrac%7Bx%7D%7B100%5C%25%7D%5C%5C%20%5C%5Cx%3D100%2A2%2F8%5C%5C%20%5C%5Cx%3D25%5C%20pizzas)