Answer:
1 in. is the answer.
Step-by-step explanation:
Solution: A Rectangle ABDE in which DE=4 inches and BD= 6 inches
There are two kinds of rotations
1. one along the Breadth, side having length 6 inches,i.e rotated along line GH, Cylinder Z is created.
Radius of cylinder Z=6/2= 3 inches
2. Second along the Length, Side having length 4 inches,i.e rotated about a line CF, cylinder Y is created.
Radius of cylinder Y= 4/2= 2 inches
Difference in Radii= Radius of cylinder Z - Radius of cylinder Y
= 3 - 2= 1 inches
Diagram shown below of both the cases:
We will use substitution to solve this system of linear equations, as the first equation has x and y with no coefficients, which makes it easier to find one in terms of the other. We can then substitute that value in the other equation and find the values of x and y.
x = y + 5 ---> equation 1
3x + 2y = 5 ---> equation 2
From equation 1, we get the value of x as y + 5. Using the substitution method, we can find the value of y by substituting (y+5) for x in the 2nd equation.
3(y+5) + 2y = 5
3y + 15 + 2y = 5
5y = 5 - 15
5y = -10
y = -2
Subsituting this value of y in (y+5), we can find x.
x = y + 5
x = -2 + 5
x = 3
Therefore, x = 3 and y = -2.
I will also solve this using elimination method.
Let us multiply equation 1 by 2, so that we get 2y in both equations.
2x = 2y + 10
3x + 2y = 5
Let us add both the equations.
2x + 3x + 2y = 5 + 2y + 10
5x = 15 + 2y - 2y
5x = 15
x = 3
Substituting this value of x in equation 1, we get
x = y + 5
3 = y + 5
y = 3 - 5
y = -2
Therefore, x = 3 and y = -2.
Answer:
81
Step-by-step explanation:
6 over 12 equals 3 over 6 6 over 3 equals 6 over 12 6 over 6 equals 3 over 12 12 over 6 equals 3 over 6
Answer:
The null hypothesis is 
The alternative hypothesis is 
Step-by-step explanation:
From the question we are told that
The population mean at 1960 - 1962 is 
The population mean at 1999- 2002 is 
The sample size is n= 1034
The sample mean is 
The null hypothesis is
The alternative hypothesis is
