For all the angles, you will have to solve for x
A: 162 = 3x
162/3 = x
54 = x
M: 120 + 2x = 180
2x = 180 - 120
2x = 60
x = 60/2
x = 30
W: 150 = 30x
150/30 = x
5 = x
S: 20 + 2x = 90
2x = 90 - 20
x = 70/2
x = 35
Q : 45 + 5x = 90
5x = 90 - 45
x = 45/5
x = 9
P: not too sure if its 150,
150 + (x+5) = 180
x+5 = 180- 150
x = 30 - 5
x = 25
now you will put all the x values in order. ( i think thats what you supposed to do)
it will be: 5, 9, 25, 30, 35, 54
hope this helps♡♡♡
Using the discrete probability outputs given in the attached table ; the probability values of having exactly 6 ; and having 6 or more girls are :
<u>The </u><u>probability</u><u> of having </u><u>exactly 6 girls</u><u> can be defined as</u> :
- P(X = 6) = 0.111 (from the discrete probability table)
2.)
<u>The </u><u>probability</u><u> of having </u><u>6 or more</u><u> girls can be defined as</u> :
- P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8)
- From the table attached :
- P(X ≥ 6) = 0.111 + 0.014 + 0.003 = 0.1
Therefore, the probability of having exactly 6 girls is 0.111 while the probability of having 6 or more girls is 0.1
Learn more : brainly.com/question/18153040
Part (i)
Plug in theta = pi/3 to get
h(theta) = sin(3theta)
h(pi/3) = sin(3*pi/3)
h(pi/3) = sin(pi)
h(pi/3) = 0 ... use a calculator or the unit circle
<h3>Answer: 0</h3>
=================================================
Part (ii)
Plug in h = pi/2
h(theta) = sin(3theta)
h(pi/2) = sin(3pi/2)
h(pi/2) = -1
<h3>Answer: -1</h3>
First move the constant to the other side causing it to change sides
4x<-6-6
Then calculate the difference (-6-6)
4x<-12
Now divide both sides by 4
X<-3
Then you are left with your answer:
x<-3
Hope this helps! :3