Answer:
Darlene will get there first
Step-by-step explanation:
I have uploaded the work
The probability that the value selected at random is greater than 30 will be found as follows:
z-score is given by:
z=(x-mu)/sig
z=(30-30)/2=0
thus
P(x>30)=1-P(X<30)=1-P(z<0)=1-0.5=0.5
Answer P(x>30)=0.5
1000 = 2p + 250
p = poster
1000 - 250 = 750
750 = 2p
750/2 = 375
p = 375
375 posters can be printed for $1000.
Cos45 = cos(2*22.5) = (cos22.5)^2 - (sin22.5)^2 = (cos22.5)^2 * (1-(tan22.5)^2)
= (1 + cos45)/2 * (1-(tan22.5)^2)
Now, solve for tan22.5:
tan22.5 = sqrt(1 - 2cos45 / (1+cos45) )
From the given vertices, the area of the polygon is 28.
<h3>Rectangles</h3>
The rectangle is a quadrilateral. The classification for quadrilaterals is given by the length of sides and angles. For a rectangle, the opposite sides are equal and parallel and their interior angles are equal to 90°.
A rectangle is a geometric figure that has 4 sides called: base and height. Due to its characteristics, the rectangle presents two bases (B) and two heights (H).
The area of a rectangle is given by the multiplication between the base and the height.
First, you should plot the points, then see image 1.
From the figure, it is possible to see that the bases ( AB and CD) = 5-3=2
and heights (AC and BD) =-7-(-7)=7+7=14. Thus,
A= B*H= 2*14=28
Read more about the area of the rectangle here:
brainly.com/question/11949392
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