Answer:

Step-by-step explanation:
see the attached figure to better understand the problem
In the right triangle ABC
-----> the cosine is the adjacent side to angle A divided by the hypotenuse
substitute the values and solve for x


Answer:
(2*30)-6
Step-by-step explanation:
Answer:
-1/3
Step-by-step explanation:
To find the slope, we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 9-10)/(10-7)
= -1/3
Since the lines are perpendicular the opposite angle of labeled is also 60° and so would the two angles on the the lower just opposite way therefore 8x-4=60
-4 -4
8x=56
/8 /8
X=7
binomial(16 + 7, 16) 2^(-(16 + 7)) = ((16 + 7)!)/(16! 7! 2^(16 + 7)) = 245157/8388608 ≈ 0.02922 ≈ 1/34.22
(assuming children are independent and male and female are equally likely)
| probability
less than 16 boys | 0.9534
16 or less boys | 0.9827
more than 16 boys | 0.01734
16 or more boys | 0.04657
fraction of boys | 16/(16 + 7) ≈ 0.695652
fraction of girls | 7/(16 + 7) ≈ 0.304348
expected value | 11.5
standard deviation | 2.398
variance | 5.75
11.5