First, let's calculate the area of the rectangle. Find the distances between the length and the width. For the width we can use point A and point D.
(2, 2) and (20, 2)
20 - 2 = 18
So the width is 18 cm. Now find the length. We can use point A and point B.
(2, 2) and 2, 26)
26 - 2 = 24
So the length is 24.
So the area of the rectangle is 432 square centimeters, now let's find the area of the circle.
The radius is given as 15 cm. Use 3.14 to approximate for pi.
So the area of the circle is approximately 706.5 square centimeters. Subtract this area from the area of the rectangle to find the value of the shaded area.
Answer:
18 yards
Step-by-step explanation:
6+5+3+4= 18
Answer:
gallon of milk it is the correct ans
a.
is a proper joint density function if, over its support, is non-negative and the integral of is 1. The first condition is easily met as long as . To meet the second condition, we require
b. Find the marginal joint density of and by integrating the joint density with respect to :
Then
c. This probability can be found by simply integrating the joint density:
Answer:
Let y=ax^2+bx+c be the equation of the parabola. Set up equations.
Using (0,5). 5=a(0)2+b(0)+c
5
=
a
(
0
)
2
+
b
(
0
)
+
c
Using (2,15), 15=a(2)2+b(2)+5
15
=
a
(
2
)
2
+
b
(
2
)
+
5
4a+2b=10
2a+b=5
Using (4,9)
9=a(4)2+b(4)+5
9
=
a
(
4
)
2
+
b
(
4
)
+
5
16a+4b=4
4a+b=1
Subtract each side of (1) and (2) to eliminate b and solve for a: -2a=4
a=-2
Solve for b using (1): 2(-2)+b=5
-4+b=5
b=9
So, the equation is y=−2x2+9x+5
Step-by-step explanation: