Answer:
d x 15=total players.
Step-by-step explanation:
dx15=total number of players in the tournament.
Answer:
B. Side <em>a</em> is 7 inches long and side <em>b</em> is 6 inches long.
Step-by-step explanation:
Since the scale drawing is three times bigger than the actual object, divide both numbers by three to find the object size.
Side a:
21/3 = 7 inches
Side b:
18/3 = 6 inches
Complete the square:
F(x) = -3x² - 6x - 5
F(x) = -3 (x² + 2x) - 5
F(x) = -3 (x² + 2x + 1 - 1) - 5
F(x) = -3 ((x + 1)² - 1) - 5
F(x) = -3 (x + 1)² + 3 - 5
F(x) = -3 (x + 1)² - 2
The y-intercept has x-coordinate equal to 0, so it corresponds to the value of F(0) :
F(0) = -3 (0 + 1)² - 2 = -3 - 2 = -5
The axis of symmetry is the vertical line running through the vertex of this parabola, so we'll come back to this.
The vertex of the parabola is (-1, -2). This represents the maximum value of F(x), which follows from
(x + 1)² ≥ 0 ⇒ -3 (x + 1)² ≤ 0 ⇒ -3 (x + 1)² - 2 ≤ -2
This is to say, every point on the parabola has a y-coordinate no greater than -2.
As mentioned earlier, the axis of symmetry is the vertical line through the vertex, and its equation is determined by the x-coordinate of the vertex. Hence the AoS is the line x = -1.
Answer: 
Step-by-step explanation:
The confidence interval for population mean is given by :-
Given : Sample size : 
, which is a large sample , so we apply z-test .
Sample mean : 
Standard deviation : 
Significance level : 
Critical value : 
Now, a confidence interval at the 95% level of confidence will be :-
Answer:
Step-by-step explanation:
60% = 7.2/12
83% = 10/12
He improved by a supposed 23%
