The distance formula is
. In the ordered pair (4, 6), 4 is the <em /><em>x</em>-coordinate and 6 is the <em /><em>y</em>-coordinate. In the ordered pair (7, -3), 7 is the <em>x</em>-coordinate and -3 is the <em>y</em>-coordinate. Substituting those values in gives us
. Since subtracting a negative is the same as adding a positive, we now have
The standard from of a line has both variables on one side of the equal sign and a constant on the other side. (by convention is should be arranged so that the coefficient of x is positive)
y-3=3(x+1) perform indicated multiplication on right side
y-3=3x+3 subtract 3x from both sides
y-3x-3=3 add 3 to both sides
y-3x=6 multiply both sides by -1
3x-y=-6
Answer:
0.36
Step-by-step explanation:
Given, a circle with radius, 
Area of circle =
Substitute 
Area of whole circle
Square is inscribed in it whose each side is 
Area of square 
We can see that area of the white circle
= area of the whole circle - area of square
Probability of falling a random point within the white circle
Rounding to nearest hundredth.
Probability of falling a random point within the white circle would be 0.36
Dang...H0: μ = 115
HA: μ ≠ 115
Sample mean = 120
Standard deviation = 25
Standard error of mean = σ / √ n
Standard error of mean = 25 / √ 100
SE = 25/10
Standard error of mean 2.5
z = (xbar- μ ) / SE
z = (120-115) / 2.5
z = 2
p-value = 2 P( z > 2) = 2(0.0228) = 0.0456
the data are statistically significant at level = .05, but not at level = .01.
2)
H0: μ = 115
HA: μ ≠ 115
Sample mean = 119
Standard deviation = 25
Standard error of mean = σ / √ n
Standard error of mean = 25 / √ 100
SE = 25/10
Standard error of mean 2.5
z = (xbar- μ ) / SE
z = (119-115) / 2.5
z = 1.6
p-value = 2P( z > 1.6) = 2(0.0548) =0.1096
3)
a statement about the population the researcher suspects is true, and is trying to find evidence for.
4)
Sample mean = 80
Standard deviation = 20
Standard error of mean = σ / √ n
Standard error of mean = 20 / √ 100
SE = 20/10
The Standard error of mean 2
Confidence interval 80-(2)(1.645)
and 80+(2)(1.645)
(76.7, 83.3)
No. It is quadratic since it would cross the x-axis twice
