Answer:
PEMDAS
Step-by-step explanation:
P=Parenthesis
E=Exponent
M=Multiply
D=Division
A=Addition
S=Subtract
Answer:
9 miles
Step-by-step explanation:
mean is calculated as
mean =
, then
= 5.7 ( multiply both sides by 10 )
sum = 57
let x be the distance he needs to cover so mean is 6 , that is
= 6 ( multiply both sides by 11 )
sum + x = 66 , that is
57 + x = 66 ( subtract 57 from both sides )
x = 9
That is he would have to run 9 miles
Let event A be the coin landing on heads and let event B be rolling a 5 on a six-sided die.
Events A and B are independent if, and only if:

It is given in the question that the above condition for independence is met.
Also A and B are independent if:
P(A|B) = P(A)
P(A) = 1/2
Therefore the probability of flipping a coin and it landing on heads, given that you rolled a 5 on a six-sided die is 1/2. The two events are independent.
The equation is 
<u>Explanation:</u>
We have to first find the mid-point of the segment, the formula for which is

So, the midpoint will be 
= 
It is the point at which the segment will be bisected.
Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula 
The slope is
= 
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of
is 
To write an equation, substitute the values in y = mx + c
WHere,
y = -1
x = 3
m = 3/2
Solving for c:

Thus, the equation becomes:
