Answer:
<u>| </u><u>Music | World Language | Total </u><u> </u>
<u>8th grade</u><u> | 30 | 35 | 65 </u>
<u>7th grade</u><u> | 5 | 30 | 35 </u>
Total | 35 | 65 | 100
Answer:
x = 4, 2
Step-by-step explanation:
![(x-2)(2x-3)=(x-2)(x+1)](https://tex.z-dn.net/?f=%28x-2%29%282x-3%29%3D%28x-2%29%28x%2B1%29)
![\\\Rightarrow 2x^2-7x+6=x^2+x-2x-2\\\Rightarrow 2x^2-7x+6-x^2+x-2x-2=0\\\Rightarrow x^2-6x+8=0](https://tex.z-dn.net/?f=%5C%5C%5CRightarrow%202x%5E2-7x%2B6%3Dx%5E2%2Bx-2x-2%5C%5C%5CRightarrow%202x%5E2-7x%2B6-x%5E2%2Bx-2x-2%3D0%5C%5C%5CRightarrow%20x%5E2-6x%2B8%3D0)
While splitting the middle term the sum of the term should give us the middle term and their product should give the last term
![\\\Rightarrow x^2-4x-2x+8=0](https://tex.z-dn.net/?f=%5C%5C%5CRightarrow%20x%5E2-4x-2x%2B8%3D0)
-4-2 = -6
![-4\times -2=8](https://tex.z-dn.net/?f=-4%5Ctimes%20-2%3D8)
![\\\Rightarrow (x-4)(x-2)=0\\\Rightarrow x=4, 2](https://tex.z-dn.net/?f=%5C%5C%5CRightarrow%20%28x-4%29%28x-2%29%3D0%5C%5C%5CRightarrow%20x%3D4%2C%202)
Hence, x = 4, 2
Answer:
a=7
Step-by-step explanation:
6a-42=-7a+49
(add 7a to 6a)
13a-42=49
(add 42 to 49)
13a=91
(divide 91 by 13)
a=7
Answer: -27 is the correct answer. (apparently)
Answer:
0.56%
Step-by-step explanation:
Probability of A and B is P(AB)
Probability of A is P(A)
Probability of B is P(B)
When A and B are independent (unrelated)
P(AB)=P(A)P(B)
In this case
0.08(0.07)=0.0056 or 0.56%