Answer:
Step-by-step explanation:
This is classic right triangle trig. The height of the hill is 78.4 which serves as the side opposite the reference angle of 23 degrees. The side we are looking for is the hypotenuse of that triangle. The trig ratio that relates the side opposite a reference angle to the hypotenuse of the right triangle is the sin ratio. Setting it up using our values:
, where x is the unknown length of the hypotenuse. Solving for x:
Make sure your calculator is in degree mode before entering this in. You will get a length of the hypotenuse as 200.649 feet, so choice A.
Supposing, for the sake of illustration, that the mean is 31.2 and the std. dev. is 1.9.
This probability can be calculated by finding z-scores and their corresponding areas under the std. normal curve.
34 in - 31.2 in
The area under this curve to the left of z = -------------------- = 1.47 (for 34 in)
1.9
32 in - 31.2 in
and that to the left of 32 in is z = ---------------------- = 0.421
1.9
Know how to use a table of z-scores to find these two areas? If not, let me know and I'll go over that with you.
My TI-83 calculator provided the following result:
normalcdf(32, 34, 31.2, 1.9) = 0.267 (answer to this sample problem)
Answer:
The second one
Step-by-step explanation:
Answer:
-(2)x+2
Step-by-step explanation:
g(x)=F(x)+2
g(x)=-(2)x+2
Answer:
Step-by-step explanation:
Sine is opposite divided by the hypotenuse.
sin(30) = 9/y
1/2 = 9/y
y = 18
Cosine is adjacent divided by the hypotenuse
cos(30) = x/18
