Answer:
14
or 
Step-by-step explanation:
Turn your fractions into improper and make them have the same denominator
+
=
Leave it as is or simplify to 14
Answer:



Step-by-step explanation:
For this case we have a confidence interval given as a percent:

If we express this in terms of fraction we have this:

We know that the confidence interval for the true proportion is given by:

And thats equivalent to:

We can estimate the estimated proportion like this:

And the margin of error can be estimaed using the fact that the confidence interval is symmetrical

And then the confidence interval in the form desired is:

D= (12)/(3)(4)
d = 12/12
d = 1
Answer:
Part 1) The length of the longest side of ∆ABC is 4 units
Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is 
Step-by-step explanation:
Part 1) Find the length of the longest side of ∆ABC
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
The ratio of its perimeters is equal to the scale factor
Let
z ----> the scale factor
x ----> the length of the longest side of ∆ABC
y ----> the length of the longest side of ∆DEF
so

we have


substitute

solve for x


therefore
The length of the longest side of ∆ABC is 4 units
Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of ∆ABC
y ----> the area of ∆DEF

we have

so


therefore
The ratio of the area of ∆ABC to the area of ∆DEF is 
Answer:
19
Step-by-step explanation:
45-26=19