Answer:
Mean = 0.2(100) = 20
Variance = 0.2×0.8×100 = 16
Standard deviation = 4
Yes, np > 5 & nq > 5
Answer:
z=(sqrt(10)-1)/2 or z= -(sqrt(10)-1)//2
Step-by-step explanation:
To complete the square, the last term has to be 1. So adding 10 to both sides, we get:
4z^2+4z+1 = 10
Since 4z^2+4z+1=(2z+1)^2,
(2z+1)^2 = 10.
Taking the square root of both sides, we get
2z+1=sqrt(10) or 2z+1=-sqrt(10)
So z=(sqrt(10)-1)/2 or z= -(sqrt(10)-1)//2
Answer:
$117,351 JMD
Step-by-step explanation:
It is simple. 1 US dollar is 150.45 JMD, so 780 US dollars should be:
780 * 150.45 = 117,351
Based on given conditions,
Now collecting the coefficients and adding them,
Hence, the <u>6</u><u>a</u><u>²</u><u>b</u><u> </u><u>+</u><u> </u><u>1</u><u>2</u><u>a</u><u>b</u> should be added.
Paper he needs = total surface area
So to break it down into 2D shapes, that prism has 2 2D triangles, and 3 2D rectangles of different sizes.
The triangles are the same size, since you have 2, just multiply 2 by the formula for the area of a triangle: 1/2(base)(height) which is 2x1/2(5)(12) = 60
Next you'll need the area of all the rectangles: length x width. which would be (5 x 5) + (13 x 5) + (12 x 5) = 150
So the total amount of wrapping paper he'd need is 150mi^2
