Discounted Cost= Cost of Item - (Cost of Item * % Discount)
= $45.60 - ($45.60 * 30%)
convert % to decimal (30% ÷ 100)
= 45.60 - (45.60 * 0.30)
multiply in parentheses
= 45.60 - 13.68
= $31.92 discounted cost
ANSWER: The discounted cost of the item is $31.92 (savings of $13.68).
Hope this helps!  :)
        
             
        
        
        
Like XZ divides the cord YV into two congruent parts (YW=5.27 cm=WV), this segment XZ must be perpendicular to the segment YV, then the angle XWY in triangle XWY is a right angle (90°) and the triangle XWY is a right angle.
We can apply the trigonometric ratios in triangle XWY:
Hypotenure: XY
sin 44°=(Opposite leg to 44°)/(hypothenuse)
sin 44°=YW/XY
sin 44°=(5.27 cm)/XY
Solving for XY. Cross multiplication:
sin44° XY=5.27 cm
Dividing both sides of the equation by sin 44°:
sin 44° XY / sin 44° = (5.27 cm)/sin 44°
XY=(5.27/sin 44°) cm
XY=(5.27/0.694658370) cm
XY=7.586462929 cm
This value XY is the radius of the circle, then:
XZ=XY→XZ=7.586462969 cm
tan 44°=(Opposite leg to 44°) / (Adjacent leg to 44°)
tan 44°=YW/XW
tan 44°=(5.27 cm)/XW
Solving for XW. Cross multiplication:
tan 44° XW=5.27 cm
Dividing both sides of the equation by tan 44°:
tan 44° XW / tan 44°=(5.27 cm)/tan 44°
XW=(5.27/tan 44°) cm
XW=(5.27/0.965688775) cm
XW=5.457244753 cm
WZ=XZ-XW
WZ=7.586462969 cm-5.457244753 cm
WZ=2.129218216 cm
Rounded to 2 decimal places:
WZ=2.13 cm
Answer: The <span>measurement is closest to the measure of segment WZ is
2.13 cm</span>
        
             
        
        
        
Answer:
2 units
Step-by-step explanation:
 
        
             
        
        
        
Answer:

Step-by-step explanation:
Given


Required

First, we calculate the z score






So:


From z probability, we have:

 
        
             
        
        
        
So, The Crayola Crayon company can make 2400 crayons in 4 minutes. In other words, every 4 minutes they can make 2400 crayons, right? So, in 15 minutes how many would they have made? Well, what we do is we divide 15 by 4 which is 3.75. Then we multiply the result, 3.75, by 2400. 3.75 * 9000. So, in 15 minutes, Crayola  would have made 900 crayons!
4/2400 = 15/x
Step 1: Cross Multiply
4/2400 = 15/x
4 * x = (15) * (2400)
4x = 36000
Step 2: Divide both sides by 2
4x/4 = 36000/2
x = 9000
The answer is, 9000!!! :D