3. The area of a triangle-shaped piece of wood
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Answer:
Step-by-step explanation:
Given that the random variable X is normally distributed, with
mean = 50 and standard deviation = 7.
Then we have z=
Using this and normal table we find that
a)
b) When z=0.02
we get
c) 90th percentile z value =1.645
90th percentile of X
+
= 34
The equation of a circle in standard form is
+
=
where (a , b) are the coordinates of the centre and r is the radius
The centre is at the midpoint of the endpoints and the radius is the distance from the centre to either of the 2 endpoints
Using the midpoint formula
midpoint = [(x
+
,
(
+
where (,
=(3,8) and (
,
=(-7,2)
centre = ((3-7),
(8+2)) = (-2,5)
Calculate r using the distance formula
r = √(-
)²+(
-
)²)
= √((3+2)²+(8-5)²) = √(25+9) = √34 ⇒ r² =(√34)² = 34
equation of circle is : (x+2)²+(y-5)² = 34