Answer:
-8/15
Step-by-step explanation:
So remember what sin, cos, and tan are.
sin = opposite/hypotenuse
cos = adjacent/hypotenuse
tan = opposite/adjacent
Now, using what we know of sin and cos, lets find opposite and adjacent to solve for tan.
Sin=-8/17
So this must mean that opposite is -8, and the hypotenuse is 17.
Next, lets find adjacent. Cos = 15/17
So this must mean that adjacent is 15, and again, hypotenuse is 17.
Now lets take the -8 of the opposite, and 15 of the adjacent, and get tan.
<u>Tan: -8/15. </u>
17 is not included in this whatsoever, since hypotenuse is not included in tan. And remember that it cannot be -15/8, since its opposite/adjacent, not adjacent/opposite.
Hope this helps!
-x = 4 -3x + 6
First, let's get x on one side.
Add 3x to both sides.
-x + 3x = 2x
-3x + 3x = 0
We now have:
2x = 4 + 6
Combine like-terms (add 4 to 6)
4 + 6 + 10
2x = 10
Divide both sides by 2 to solve for x.
2x / 2 = x
10 / 2 = 5
We're now left with:
x = 5
I hope this helps!
I'm going to take a guess regarding what you meant to type in:
<span>3x-9 X +6x+5
E(x)= ------- × -------------
2 2
X -9 X +5x+6
3(x+3) 6x+5
becomes E(x) = ----------- * ------------
x-9 5x+6
This cannot be reduced.
Try again to share this problem. Thank you.
</span>
Answer:
3.6% of the ball bearings will have diameters of 20.27 mm or more.
Step-by-step explanation:
We can calculate this proportion using the z-score.
We have a normal distribution with mean 20.00 mm and standard deviation of 0.150 mm.
The value for X is 20.27 mm.
Then, the z-score and its associated probability are:
