Answer:
a) No
b) 42%
c) 8%
d) X 0 1 2
P(X) 42% 50% 8%
e) 0.62
Step-by-step explanation:
a) No, the two games are not independent because the the probability you win the second game is dependent on the probability that you win or lose the second game.
b) P(lose first game) = 1 - P(win first game) = 1 - 0.4 = 0.6
P(lose second game) = 1 - P(win second game) = 1 - 0.3 = 0.7
P(lose both games) = P(lose first game) × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%
c) P(win first game) = 0.4
P(win second game) = 0.2
P(win both games) = P(win first game) × P(win second game) = 0.4 × 0.2 = 0.08 = 8%
d) X 0 1 2
P(X) 42% 50% 8%
P(X = 0) = P(lose both games) = P(lose first game) × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%
P(X = 1) = [ P(lose first game) × P(win second game)] + [ P(win first game) × P(lose second game)] = ( 0.6 × 0.3) + (0.4 × 0.8) = 0.18 + 0.32 = 0.5 = 50%
e) The expected value 
f) Variance 
Standard deviation 
Y=-3x+8 by using slope intercept form
Answer:
In general, when y = f(x), you are substituting a permissible x value into function f & its calculated 'output' is the value for y. Then (x,y) is an ordered pair, i.e. coordinates of a point on the graph. ... So our ordered pair is (-14,11).
The sum of the exterior angles of all polygon is always equal to 360°. The exterior angle sharing the same side with that of the right angle of the triangle is equal to 90°. If the other exterior angles are 13x and 14x then, they add up to 270°.
The equation that would allow us to determine the values of the angles are,
13x + 14x = 270
x = 10
The exterior angles are 130 and 140°. The exterior angle and the interior angle always add up to 180°.
Interior angle 1: 180° - 130° = 50°
Interior angle 2: 180° - 140° = 40°
Therefore, the measures of the two acute angles of the triangle are 50° and 40°.
Yes,
Every 2 minutes = 3 inches of water, so that means every minute = 1.5 inches of water.
So in 10 minutes:
10*(1.5) = 15 inches of water.
So in 10 minutes the tub will fill an additional 15 inches of water which is exactly how much you need to fill up the remaining tub (3+15 = 18)
