Answer:
B. 12.5
Step-by-step explanation:
We have the lowe confidence interval = 185
The upper confidence interval = 210
Mean of X = (lower confidence + upper confidence interval)/2
Mean of X = 185 + 210/2
= 197.5
The margin of error = the upper confidence interval - mean of X
= 210-197.5
= 12.5
6 miles = 1in
9 miles = 1 1/2in
12 miles = 2in
and it goes on, hope this helps!
Answer:
x = -8
Step-by-step explanation:
Let's put this into numbers:
x =-6
The first thing you want to do is to multiply both sides by 4:
3x=-24
Next you need to divide by 3:
x=-8
The answer is -8
Answer: sin u = -5/13 and cos v = -15/17
Step-by-step explanation:
The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.
So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),
==> adj of u = -12 therefore cos u = -12/13
Same argument for v: adj = -15,
opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17
The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)
I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.
Travels by 2 so therefore the answer is B