M<2 = m<3
but
m<1 + m<2 = 180
4x + 36 + <span>3x – 3 = 180
7x + 33 = 180
7x = 147
x = 21
m<2 = </span><span>3x – 3
m<2 = 3(21) - 3
m<2 = 63 - 3
m< 2 = 60
m<3 = m<2 = 60
answer
</span><span>60°</span>
Answer: 949.85 in 3
Step-by-step explanation:i took the test lol
Answer:
take the population mean divided by four
Step-by-step explanation:
Answer:Given:
P(A)=1/400
P(B|A)=9/10
P(B|~A)=1/10
By the law of complements,
P(~A)=1-P(A)=399/400
By the law of total probability,
P(B)=P(B|A)*P(A)+P(B|A)*P(~A)
=(9/10)*(1/400)+(1/10)*(399/400)
=51/500
Note: get used to working in fraction when doing probability.
(a) Find P(A|B):
By Baye's Theorem,
P(A|B)
=P(B|A)*P(A)/P(B)
=(9/10)*(1/400)/(51/500)
=3/136
(b) Find P(~A|~B)
We know that
P(~A)=1-P(A)=399/400
P(~B)=1-P(B)=133/136
P(A∩B)
=P(B|A)*P(A) [def. of cond. prob.]
=9/10*(1/400)
=9/4000
P(A∪B)
=P(A)+P(B)-P(A∩B)
=1/400+51/500-9/4000
=409/4000
P(~A|~B)
=P(~A∩~B)/P(~B)
=P(~A∪B)/P(~B)
=(1-P(A∪B)/(1-P(B)) [ law of complements ]
=(3591/4000) ÷ (449/500)
=3591/3592
The results can be easily verified using a contingency table for a random sample of 4000 persons (assuming outcomes correspond exactly to probability):
===....B...~B...TOT
..A . 9 . . 1 . . 10
.~A .399 .3591 . 3990
Tot .408 .3592 . 4000
So P(A|B)=9/408=3/136
P(~A|~B)=3591/3592
As before.
Step-by-step explanation: its were the answer is
In a circle, the internal vertical angles have a formula of
In this case, the formula would be:
We know that whole circle is 12x. And 12x is equal to 360°. When we put that into equation:
If x is 30°:
So, angle 7 is 90°.
