Answer: choice A
---------------------------------------------------------------------
---------------------------------------------------------------------
Work Shown:
P(TV) = (number who watch tv)/(number total)
P(TV) = 30/100
P(TV) = 0.30
P(Girl) = (number of girls)/(number total)
P(Girl) = 55/100
P(Girl) = 0.55
P(TV)*P(Girl) = 0.30*0.55 = 0.165 which rounds to 0.17
We'll use this value later. So let's call this M = 0.17
Look in the "girl" row and "tv" column. The value 17 is here.
This is out of 100 people total, so
P(TV and Girl) = 17/100 = 0.17
Call this value N = 0.17
Because M = N = 0.17 approximately, this means that the two variables "TV" and "Girl" are approximately independent
So the equation P(TV and Girl) = P(TV)*P(Girl) is approximately true in this example.
This points to choice A being the answer.
Answer:
3 seconds
Step-by-step explanation:
when h=7 ft
-16t²+49t+4=7
-16t²+49t-3=0
16t²-49t+3=0
16t^2-48t-t+3=0
16t(t-3)-1(t-3)=0
(t-3)(16t-1)=0
t=3,t=1/16
t=1/16 seconds is the time when it just started.
so reqd. time=3 seconds.
Cos(sin⁻¹(³/₅))
cos(36.87)
0.79
Use Mathpapa or symbolab, they are both very useful resources, and have saved me many times
Step-by-step explanation:
in a parallelogram, opposite angles are equal..
so C is 4a + 22. and B is 6a - 12.
sum of interior angles in a quadrilateral = 360
4a + 22. + 6a - 12. + 4a + 22. + 6a - 12 = 360
20a + 20 = 360
20a = 340
a = 17
sum of angles on a straight line = 180
B + x = 180
6 ( 17) - 12 + x = 180
102 + × = 180
× = 180 - 102
× = 78
