Answer:
A) 4.5
Step-by-step explanation:
you can set up a ratio comparing AB/CB to (AB + BD)/5
3/2 = 3 + BD/5
cross-multiply to get 15 = 2(3 + BD)
15 = 6 + 2BD
9 = 2BD
9/2 = BD
The area formula for a parallelogram is the same as it is for a square or a rectangle. It's A = b*h. They give you the area and the height, and x is part of the radicand for the base. Set it up like this:
. Divide both sides by 7 to get
. Now, the opposite of a square root is squaring, so let's undo that square root by squaring. But because this is an equation, if you square the right you also have to square the left.
. Squaring that square root undoes the square root, so now what we have is 36 = 6 + x, and 30 = x. There you go!
Ok I recommend you start by
Answer:
The z-score associated with the upper boundary of of this price range is -0.25.
Step-by-step explanation:
It is provided that the board of directors for Cosmic Coffee wants to know the price range for the lowest 40% of drink sales.
If <em>X</em> represents the price range of drink sales, then
P (X < x) = 0.40
Consider that <em>X</em> follows a Normal distribution.
To compute the probability of a normally distributed random variable we need to first convert the raw score to the <em>z</em>-scores.
The formula to <em>z</em>-score is:
Then,
P (X < x) = 0.40
⇒ P (Z < z) = 0.40
The value of <em>z</em> for this probability is:
<em>z</em> = -0.25
*Use a <em>z</em>-table.
Thus, the z-score associated with the upper boundary of of this price range is -0.25.
, that the ladder is making with the ground, we are going to use a trig function that relates the adjacent side of our angle with the hypotenuse. That trig function is Cosine. 
