Solution:
As, in a pack of cards, there are 26 black cards and 26 red cards.
Probability of an event = 
Probability of drawing a black card from a pack of 52 cards = 
As each card drawn is replaced,Each black card draw is an independent with another black card draw.
Probabilities of drawing a black card on each of four trial=
![\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}=[\frac{1}{2}]^4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%3D%5B%5Cfrac%7B1%7D%7B2%7D%5D%5E4)
What are you trying to solve for?
The statement third "Betty wrote an indirect proof using contradiction' and statement fourth "Ken wrote direct proof using deductive evidence" are correct.
<h3>What is an angle?</h3>
When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have Ken's statements are shown in the table:
Angle AOC = Angle BOD (given)
Angle AOB + Angle BOC = Angle BOC + Angle COD (angle addition postulate)
Angle AOB = ANgle COD (subtraction property of equality)
Ken wrote direct proof using deductive evidence.
As we can in betty's proof:
Betty wrote an indirect proof using contradiction.
Thus, the statement third "Betty wrote an indirect proof using contradiction' and statement fourth "Ken wrote direct proof using deductive evidence" are correct.
Learn more about the angle here:
brainly.com/question/7116550
#SPJ1
Answer:
3/4
Step-by-step explanation:
54/72 simplified is the same as 3/4
Answer:
Thus # 2 is correct (5 (y + 4))/2
Step-by-step explanation:
Simplify the following:
(5 y (y^2 - 16))/(2 y (y - 4))
(5 y (y^2 - 16))/(2 y (y - 4)) = y/y×(5 (y^2 - 16))/(2 (y - 4)) = (5 (y^2 - 16))/(2 (y - 4)):
(5 (y^2 - 16))/(2 (y - 4))
y^2 - 16 = y^2 - 4^2:
(5 (y^2 - 4^2))/(2 (y - 4))
Factor the difference of two squares. y^2 - 4^2 = (y - 4) (y + 4):
(5 (y - 4) (y + 4))/(2 (y - 4))
Cancel terms. (5 (y - 4) (y + 4))/(2 (y - 4)) = (5 (y + 4))/2:
Answer: (5 (y + 4))/2
