Answer:
32 tickets.
Step-by-step explanation:
First, 1/3 of 48 is 16. So 48-16= 32. Usually, people think the remaining half is half of 48, but it's supposed to be half of 32. So half of 32 is 16. So Kacey used 32 tickets for those 2 games.
Answer:
a.
b. The symbol y-bar represents the average price of hotels in the area
Step-by-step explanation:
a. The regression line equation is given by:
Where Alpha represents the slope, Beta represents the intercept with the Y axis, and epsilon represents the random component of the model. Thus,
y Obtaining:
.
b. In a simple linear regression model the value of y-bar represents the average of all values of y observed. Thus, since y represents the prices of the hotels, then y-bar is the average price of hotels in the area.
Answer:
vertex = (1, - 9 )
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
f(x) = x² - 2x - 8
To complete the square
add/ subtract ( half the coefficient of the x- term )² to x² - 2x
f(x) = x² + 2(- 1)x + 1 - 1 - 8
= (x - 1)² - 9 ← in vertex form
with vertex = (1, - 9 )
B x =-6 or x=-8 is the answer
r =
multiply both sides of the equation by r - 3
t(r - 3 ) = r ( distribute and collect terms in r together )
tr - 3t = r
tr - r = 3t ( factor out r )
r(t - 1 ) = 3t ( divide both sides by r - 1 )
r =