Jeremy can choose his outfit in following ways:
2 ways to select a shirt
2 ways to select a pant
2 ways to select socks
3 ways to select the footwear.
Total number of ways to select the dress = 2 x 2 x 2 x 3 = 24 ways
Jeremy will select an outfit that includes flip-flops, argyle socks and denim pants. The shirt is not specified, so the shirt can be any.
So there are 2 ways to select a shirt, 1 way to select the pant, socks and footwear. So Jeremy can select the desired outfit in 2 ways.
Thus, the probability that Jeremy will select an outfit that includes flip-flops, argyle socks and denim pants = 2/24 = 1/12
Answer:
1. -9
2. -2
3. -3
4. 2 (positive)
Step-by-step explanation:
positive + negative= positive
negative + positive =negative
positive +positive =positive
negative +negative =negative
hope you like it ( ' - ' )
Answer:
2x-12
Step-by-step explanation:
First you distribute the -2 to the x and +3
this will make you expression be:
4x-6-2x-6
you then do -6+-6
this will make your expression be:
4x-12-2x
After you get this you have to combine like terms. the like terms in the expression are the two with x being you variable. 4x and -2x.
Once you have combined like terms your solution should be:
2x-12
Answer:
Volume: 
Ratio: 
Step-by-step explanation:
First of all, we need to find the volume of the hemispherical tank.
The volume of a sphere is given by:
where
r is the radius of the sphere
V is the volume
Here, we have a hemispherical tank: a hemisphere is exactly a sphere cut in a half, so its volume is half that of the sphere:
Now we want to find the ratio between the volume of the hemisphere and its surface area.
The surface area of a sphere is
For a hemisphere, the area of the curved part of the surface is therefore half of this value, so 
. Moreover, we have to add the surface of the base, which is 
. So the total surface area of the hemispherical tank is
Therefore, the ratio betwen the volume and the surface area of the hemisphere is
