10+6x=4x-4
6x-4x=-4-10
2x=-14
x-7
10=6(-7)=-32
4(-7)-4=-32
=-32
Answer:
B: 60
Step-by-step explanation:
f(x)= 5x+10, if x=10
f(10)=5(10)+10
5(10)+10=60
f(10)=60
The total length of the fencing is 248 ft; we call this the "perimeter" of the garden. Since P = 2W + 2L in general, here:
P = 248 ft = 2W + 2(W+6), or 248 ft = 4W + 12.
Subtracting 12 from both sides of this equation: 236 ft = 4W. Then W = 59 ft, which means that L = 65 ft.
Answer:
19.63%
Step-by-step explanation:
The probability of scoring 8 points is the probability of getting a dart into the green circle.
That probability is equivalent to the area of the circle divided by the total area of the square board.
The area of the circle according to 
, is 
cm squared
The area of the whole square board is one side squared: 20 squared = 400 cm squared
The probability is therefore equal to 
%
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.
