The formula for volume is
... V = Bh . . . . . where B is the area of the base, and h is the height
You have
... 18/35 = 2/5·h
... 18/35·5/2 = h = 9/7
The height is 9/7 units.
Answer:
To three decimal place = 0.030
Step-by-step explanation:
Let probability of death in white p (WH) = 86%
Let probability of death in black p(B) =12%
Let probability of death in Asian p(A) = 2%
Probability of death caused by diabetes among white will be 2.8% of p (WH) = 0.86 x 0.028 = 0.02408
Probability of death caused by diabetes among black will be 4.4% of p (B) = 0.12 x 0.044 = 0.00528
Probability of death caused by diabetes among Asian will be 3.5% of p (A) = 0.02x 0.035 = 0.0007
If a sample is chosen and the cause is diabetes then the probability will be
Probability of death caused by diabetes among white or Probability of death caused by diabetes among black or Probability of death caused by diabetes among Asian
0.02408 +0.00528 +0.0007 = 0.03006
To three decimal place = 0.030
Answer:
B.
Step-by-step explanation:
To simplify something that looks like
you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:
.
If you had
, then you would multiply top and bottom the conjugate of
which is
.
The conjugate of a+b is a-b.
These have a term for it because when you multiply them something special happens. The middle terms cancel so you only have to really multiply the first terms and the last terms.
Let's see:
(a+b)(a-b)
I'm going to use foil:
First: a(a)=a^2
Outer: a(-b)=-ab
Inner: b(a)=ab
Last: b(-b)=-b^2
--------------------------Adding.
a^2-b^2
See -ab+ab canceled so all you had to do was the "first" and "last" of foil.
This would get rid of square roots if a and b had them because they are being squared.
Anyways the conjugate of
is
.
This is the thing we are multiplying and top and bottom.
Answer:
Yes, one of a rhombus's properties is that the diagonals bisect vertex angles.