Answer:
x = 59/35
Step-by-step explanation:
<u>Step 1: Distribute</u>
1/8 - 10(3/4 - 3/8x) + 5/8x
1/8 - 30/4 + 30/8x + 5/8x
<u>Step 2: Combine like terms</u>
1/8 - 30*2/4*2 - 30/8x + 5/8x
1/8 - 60/8 + 35/8x
-59/8 + 35/8x
<u>Step 3: Solve for x</u>
-59/8 + 35/8x + 59/8 = 0 + 59/8
35/8x * 8/35 = 59/8 * 8/35
x = 59/35
Answer: x = 59/35
Answer:
one solution
Step-by-step explanation:
2/3(3y+6)=0
Multiply by 3/2
3/2 *2/3(3y+6)=0*3/2
3y+6 = 0
Subtract 6 from each side
3y = -6
Divide by 3
3y/3 = -6/3
y = -2
There is one solution
Answer:
True
Step-by-step explanation:
Answer:
False.
Event A and event B are not independent.
Step-by-step explanation:
We know that event A and event B are
A= {2,4} and B= {2,4,5}.
If the following condition satisfies then event A and event B are independent:
P( A and B)= P(A)*P(B).
Now A and B=?
A and B=A∩B= {2,4} ∩ {2,4,5}
A and B=A∩B={2,4}
The single fair die results in 6 outcomes so, the sample space will contain 6 elements.
Thus,
P(A∩B)=2/6=1/3
P(A)=2/6=1/3
P(B)=3/6=1/2
P(A)*P(B)=1/3*1/2=1/6
As,
P(A∩B)≠P(A)*P(B)
1/3≠1/6
Thus, events A and event B are dependent.
