Answer:
y=1/2x-2
Step-by-step explanation:
perpendicular lines have a neg. reciprocal for the slope.
for example:
in this equation y=-2x+1
-2 is the slope and the negative reciprocal would be 1/2
hence, the slop of our new line is 1/2
y=1/2x+b
we can substitute the coordinates given for x and y:
2=1/2(8)+b
2=4+b
-2=b
hence the new equation is y=1/2x-2
Answer:
The sampling distribution of the sample mean of size 30 will be approximately normal with mean 15 and standard deviation 2.19.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For the population, we have that:
Mean = 15
Standard deviaiton = 12
Sample of 30
By the Central Limit Theorem
Mean 15
Standard deviation 
Approximately normal
The sampling distribution of the sample mean of size 30 will be approximately normal with mean 15 and standard deviation 2.19.
45.
12/18 = 8/x <=> 2/3 = 8/x <=> x = (3*8)/2 = 12;
ANSWER

EXPLANATION
We use the method of completing the squares.
The equation is

We rewrite the above equation to obtain;

We divide through by 3 to obtain;

We add half the coefficient of

to both sides of the equation to get,

The right hand side is now a perfect square.

We now take square root of both sides to get;

We add -2 to both sides,

We simplify to obtain,
Add both distances together:
50 + 22 = 72 feet total distance.