1) You must do division first. So divide 5/12 and get .41666666...
2) Then you add 15+5 and get 20.
3) Finally you subtract 20 and .41666666... and you get 19.5833333...
4) you can simplify 19.583333... to 19.584 if you need to.
1/2 IS the same as 0.5. Ratio is fairly easy. an example is 5/6. The ratio would be 5:6. Therefore 1/2 in ratio would be 1:2
Answer:
Step-by-step explanation:
Weekly wages at a certain factory are
normally distributed. The formula for normal distribution is expressed as
z= (x - u)/s
Where
u = mean
s = standard deviation
x = weekly wages
From the given information,
u = 400
s = 50
The probability that a worker
selected at random makes between
$350 and $400 is expressed as
P(350 lesser than or equal to x lesser than or equal to 400)
For x = 350
z = (350 - 400)/50 = -50/50 = -1
z = -1
From the normal distribution table, the corresponding z score is 0.1587
For x = 400
z = (400 - 400)/50 = 0/50 = 0
z = 0
From the normal distribution table, the corresponding z score is 0.5
P(350 lesser than or equal to x lesser than or equal to 400)
= 0.5 - 0.1587 = 0.3413
Answer:
(-1.92, 1.08)
Step-by-step explanation:
The <em>incenter</em> is the center of the largest circle that can be inscribed in the triangle. That circle is called the <em>incircle</em>. The incenter is at the point of intersection of the angle bisectors. For a right triangle, the <em>inradius</em> (the radius of the incircle), is found from a simple formula:
r = (a + b - c)/2 . . . . . where c is the hypotenuse, and a and b are the legs
In your triangle, the inradius is ...
r = (5 + 3 -√(5² +3²))/2 = 4 -√8.5 ≈ 1.08452
Among other things, this means the coordinates of the incenter are about (1.08, 1.08) from the right angle vertex, so are about ...
incenter ≈ (-1.92, 1.08)
