Answer:
theta = arcsin 0.92 = 1.17 radian, or 66.93 degrees
Step-by-step explanation:
Think of this ladder as the hypotenuse of a right triangle. The angle formed by the ladder and level ground could be called theta. Then the side of the triangle "opposite" theta is 9.2 ft, the hypotenuse is 10 ft, and the "adjacent side is unknown.
Our job is to determine the measure of this angle, theta.
Which trig function involves the opp side and the hyp, but not the adj side (whose value we don't know)? That'd be the sine:
sin theta = opp / hyp = 9.2 ft / 10 ft = 0.92.
Our last step is to use the inverse sine function to determine the measure of the angle, theta:
theta = arcsin 0.92 = 1.17 radian, or 66.93 degrees.
Mean = 181.5
σ = 57
- σ = - 57
Between - σ and +σ the area (probability) = 68%,
Due to symmetry we have:
The left are of the mean until - σ= the right area of the mean until + σ= 34%
Then the area (probability) from μ to +1 σ = 34%
Let's agree to start with n=0. Then the values of n would be {0, 1, 2, 3}.
We'd get 10{5^0, 5^1, 5^2, 5^3} = 10{1, 5, 25, 125}, or {10, 50, 250, 1250}
We have to make 2 equations
A = Adults C= Children
So: A + C = 1300
15A + 10C = 17250
We can solve for A and C in 2 ways, SUBSTITUTION or ELIMINATION
I'll do substitution
SUBSTITUTION: Subtract A from both sides
A + C = 1300
-A -A
C = 1300 - A
Plug C is to the 2nd equation
15A + 10(1300 - A) = 17,250
15A + 13,000 - 10A = 17,250
5A + 13,000 = 17,250
- 13,000 -13,000
5A = 4250
---- ---------
5 5
A= 850
So, there are 850 adults, subtract 850 from 1,300 and there 450 children
Answer: 850 adults
450 children
It B
x= -12
hope that helps