X=number of plates
y=number of cups
4x+5y=25.25
7x+3y=25.50
Add the two equations together:
11x+8y=50.75
11x=50.75-8y
x=
Plug x into the first equation:
4x+5y=25.25
4(
) = 25.25
= 25.25
= 25.25
203-32y = 277.75
-32y=74.75
32y=-74.45
y=2.34 (rounded to nearest hundredth)
The price of a plate is $2.34
Answer:
The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
That is z with a pvalue of 
, so Z = 1.96.
The margin of error is:
In which 
is the standard deviation of the population and n is the size of the sample.
Population standard deviation of 3 years
This means that 
Sample of 18 voters
This means that 
Margin of error:
The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.
Answer:
A
Step-by-step explanation:
Set equation equal to 0
Answer:
<E = 36 degrees (Answer B)
Step-by-step explanation:
Recall that the addition of all internal angles in a quadrilateral must equal 360 degrees. Then we can write the equation that states this as:
<E + <F + <G + <H = 360
Notice as well that we are dealing with an isosceles trapezoid, so there is a symmetry along the line that passes through the midpoints of sides FG and EH (the two bases). That means that the measures of angles <F = <G and <E = <H .
The previous equation then can be written as:
<H + <G + <G + <H = 360
Also, since we are told that <G = 4 <H, we can use this info in the equation as shown below:
<H + 4 <H + 4 <H + <H = 360
10 <H = 360
divide both sides by 10 to isolate <H
<H = 360 / 10
<H = 36
Since as we mentioned, <E equals <H, we can state that
the measure of <E = 36 degrees (Answer B)
Answer:
distance
Step-by-step explanation:
lets say -7 what is -7 distance from 0
so the absolute value of -7 is 7
