Hope this helps you out . Of solving for k then just set it equal to zero
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 
Answers:
Diameter - B)
Circumference - F)
Radius - C) or <span>E)*</span>
Secant - E) or C)*
Concentric circles - D)
Arc - A)
* Please, note that you described option C and option E with the same exact words. One of the two is supposed to be different.
Let's see the definition of each term of the list on the left in order to find the right description:
<em>Diameter</em> = any segment connecting two points on a circle passing through its center. Therefore, the correct description is B) a segment between two points on a circle that passes through its center.
<em>Circumference</em> = length of the distance around the circle (it's a sort of perimeter of the circle). Therefore, the correct description is F) the distance around a circle
<em>Radius</em> = constant distance from the center to any point on the circle. Therefore, the correct description is C/E) a line segment connecting the center C and a point B on the circle.
<em>Secant</em> = a<span> line that intersects a circle at any two points. Therefore the correct description is </span>E/C) Circle A and a line segment connecting the points B and C which are both on the circle.
<em>Concentric circles</em> = two circles positioned such as the center of the first one coincides with the center of the second one. Therefore the correct description is D) Two circles that share the same center.
<em>Arc</em> = part of the curve along the perimeter of a circle. Therefore, the correct description is A) a piece of the circumference of a circle.
Answer:
4
Step-by-step explanation:
2 + 2 = 4
In order to really understand this we need to break it down into simple terms.
Basically what we are doing here is adding two things together.
Put it like this, you have two fish, and you get another two fish, you now have four fish.
If you don't understand anything or need me to explain it better please don't hesitate to ask.
Answer:
d
Step-by-step explanation:
the slopes (2/3x and -5/4x) are not equal but the y-intercepts (3) are and d is the only one that states that