Step-by-step explanation:
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Find the marginal density for by integrating the joint PDF over all possible values of :
Then the density of conditioned on is
for and undefined elsewhere.
Thus
= = =
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Answer:
<em>x = 9</em>
<em>y = 36</em>
Step-by-step explanation:
<u>Lines and Angles</u>
Triangle CDE is isosceles. This means the two angles of the base DE are congruent (have the same measure):
7x + 1 = 4x + 28
Subtracting 4x + 1:
3x = 27
Dividing by 3:
x = 9
Substituting in the expression for the angles:
7x + 1 = 7*9 + 1 = 64°
The angles are 64° and 64°. The other internal angle at vertex C is 180°-64°-64°=52°. This angle is congruent with its vertical angle in the triangle ABC. We are given another angle of 43°. Thus the measure of angle A is 180°-52°-43°=85°
This last angle is equal to the expression of y:
-2(3 - y) + 19 = 85
Subtracting 19:
-2(3 - y) = 66
Removing the parentheses:
-6 + 2y = 66
Adding 6:
2y = 72
Dividing by 2:
y = 36
Final answer:
x = 9
y = 36
Answer:
36
Step-by-step explanation:
36 > 10 and has 9 factors , that is an odd number of factors
1, 2, 3, 4, 6, 9, 12, 18, 36
Answer:
The correct answer is area of the coffee shop sign and that is equal to 254.57 square inches.
Step-by-step explanation:
A coffee shop sign is in the shape of a circle.
The sign measures 18 inches across in diameter.
Thus the radius of the coffee sign is 9 inches.
We need to find the measurement that is closer to the measurement in square inches.
Thus invariably means we need to find the surface area of the coffee shop sign.
Area in square inches of the coffee sign is given by π × where r is the radius of the circle. Therefore area is π × = 81 π = 254.57 square inches.