Answer: C. 
Step-by-step explanation:
The confidence interval for difference of two population mean is given by :-
Given : Level of significance : 
Then , significance level : 
Critical value : 
Hence, a 99% confidence interval for the difference between the mean wait times of everyone who rode both rides
Answer:
thanks for the points bye bye for now
Step-by-step explanation:
thanks for the points bye bye for now love u
Answer:
4x^3 − 16x^2 − 12x − 40
Step-by-step explanation:
= 4(x)(x^2 +x +2) +4(-5)(x^2 +x +2) . . . use the distributive property
= 4x^3 +4x^2 +8x -20x^2 -20x -40 . . . . and again
= 4x^3 -16x^2 -12x -40
Negative reciprocal means
-1/4 times x=-1 solve for x
multiply both sides by -4/1
x=-4
so slope=-4
y=mx+b
m=slope, b=y intercpet
y=-4x+b
input 3 for x and -5 for y
-5=-4(3)+b
-5=-12+b
add 12 to both sides
7=b
the equation in slope intercept form is y=-4x+7
that is my standard form
another standard form is
y+4x=7
Answer:
(x²-10x+33)/(-8) = y
Step-by-step explanation:
The distance between any point on a parabola from both its focus and directrix are the same.
Let's say we have a point (x,y) on the parabola. We can then say that using the distance formula,
is the distance between (x,y) and the focus. Similarly, the distance between (x,y) and the directrix is |y-1| (I use absolute value here because distance is always positive). We can find this equation by taking the shortest distance from the point to the line. Because the closest point to the line will be the same x value as the point itself, the distance is simply the distance between the y value of the point and the y value of the directrix.
Equating the two equations given, we have
square both sides to get
(x-5)²+(y+3)²=(y-1)²
expand the y components
(x-5)² + y²+6y+9 = y²-2y+1
subtract y²+6y+9 from both sides
(x-5)² = -8y - 8
expand the x components
x²-10x+25 = -8y - 8
add 8 to both sides to isolate the -8y
x²-10x+33 = -8y
divide both sides by -8 to isolate y
(x²-10x+33)/(-8) = y
