Answer:
n=3.8416≅4
So Minimum Sample Size is 4
Step-by-step explanation:
In order to find the minimum sample size, the formula we use will be:

Where:
n is sample size
Z is the distribution
S is the standard deviation
E is the Margin of error
S=3 ,E=3
For Z:
Alpha=1-0.95=0.05
Alpha/2=0.025=2.5%
From Cumulative Standard Distribution Table:
Z at Alpha/2 = 1.960

n=3.8416≅4
So Minimum Sample Size is 4
Answer: Your equation would be y = x(12 - 2x)(8 - 2x).
The volume of a rectangular prism is V = LWH. The initial length and width are given as 12 and 8, however that makes the height 0.
If we cut out the corners, they would be the length of x. When we cut out the corners, we are subtract the length x from both ends of the length and width.
So now our measurements are:
Length: 12 - 2x
Side: 8 - 2x
Height: x
Multiply them altogether and you have your equation. Then, you can use your equation to find any measurements that you need.
Answer:
n = -6 or n = 4.
Step-by-step explanation:
-3 | -8n – 8 | = -120
Divide both sides by -3:
| -8n – 8 | = 40
This gives us 2 equations because the expression in the absolute signs can be positive or negative:
-8n - 8 = 40
so -8n = 48
n = -6.
and
-8n - 8 = -40
-8n = -32
n = 4.
Answer:
756π cm^3.
Step-by-step explanation:
Volume of the cone
270π = 1/3 π r^2 h
270π = 1/3 π r^2 * 10
r^2 = 270 / ( 10/3 )
r^2 = 81
r = 9 cm.
So the volume of the hemisphere = 1/2 * 4/3 * π * 9^3
= 486π cm^3.
So the volume of the whole solid = 270π + 486π
= 756 π cm^3.
Answer:
$280 dollars
Step-by-step explanation:
When they were leaving

When they returned home, they brought 196 Euros.

They brought back $280 dollars to the United States.