Answer:
Step-by-step explanation:
Given 
a)
we know that 
therefore 
on integrating we get
c=(1/6640)
b)
on doing the integration we get
=0.37349
c)
marginal density of X is
on doing integration we get
f(x)=(4x+3)/3320 ; 0<x<40
marginal density of Y is
on doing integration we get
d)
solve the above integration we get the answer
e)
solve the above integration we get the answer
f)
Two variables are said to be independent if there jointprobability density function is equal to the product of theirmarginal density functions.
we know f(x,y)
In the (c) bit we got f(x) and f(y)
f(x,y)cramster-equation-2006112927536330036287f(x).f(y)
therefore X and Y are not independent
√36 square inches = 6 inches (length of sq RSTU)
6 inches x 4=24 inches (per. of sq RSTU)
-----------------------------------
1u=24 inches
3u=24 inches x 3=72 inches (per. of sq WXYZ)
-----------------------------------
72 inches ÷ 4=18 inches (length of sq WXYZ)
18 inches x 18 inches = 324 square inches( area of sq WXYZ)
Ans: 324 square inches
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Following are the step which is used in the question:
- Step 1, In this use the sheet on the formulas tab we use the function, that is the part of the FLG "Function Library group".
- Step 2, In this step, click the Financial button, and after that click on the PMT.
- Step 3, after clicking on PMT apply or Enter the value that is "B3/12", in this it provides the rate argument box.
- Step 4, after insert value in B4, it provides the Naper argument box, that input the value in "B2" cell into the Pv argument box.
- Step 5, After click the OK button.
Answer:
Volume of shaded portion = (600 - 36π) units³
Step-by-step explanation:
Volume of the shaded portion = Volume of pyramid - Volume of cone
Volume of pyramid = ⅓*l*w*h
Where,
l = length of base of pyramid = 15 units
w = width of base of pyramid = 10 units
h = height of pyramid = 12 units
Plug in the values to find the volume of the pyramid
Volume of pyramid = ⅓*15*10*12 = 5*10*12 = 600 units³
Volume of Cone = ⅓πr²h,
Where,
r = radius = ½ of diameter = ½ of 9 = 3 units
h = height = 12 units
Volume of Cone = ⅓*π*3²*12 = ⅓*π*9*12
= π*3*12 = 36π units³
Volume of shaded portion = (600 - 36π) units³
Answer:
24 units
Step-by-step explanation:
1) Separate this quadrilateral into 2 triangles
2) Multiply the height by the width of one of the triangle
- Multiply 8×3
= 24
