Answer:
(3,4)
Step-by-step explanation:
The system of equations is:
x+6y=27
7x-3y=9.
I looked up "metodo de igualacion". It is basically American for doing substitution.
However, the only difference is you are asked to solve both equations for a variable.
The first equation looks easy to solve for x. So I'm going to solve both equations for x.
x+6y=27
Subtract 6y on both sides:
x =-6y+27
7x-3y=9
Add 3y on both sides:
7x =3y+9
Divide both sides by 7:
x =3/7 y +9/7
So both equations are solved for x. You want to find when the x's are the same because you are looking for a common amongst the lines given.
So we have
-6y+27=3/7 y +9/7
I hate the fractions honestly so I'm going to multiply both sides by 7 so they will no longer be for now:
-42y+189=3y + 9
Now add 42y on both sides:
189=45y+9
Subtract 9 on both sides:
180=45y
Divide both sides by 45:
4=y
If 4=y, then y=4.
So now once we have obtain 4 for y, we will use one of the equations given along with it to find x. Just choose one. Choose the easier looking one to you.
I like the x=-6y+27 with y=4.
So replace y with giving you:
x=-6(4)+27
x=-24+27
x=3
So the solution is (x,y)=(3,4).
x=3 and y=4.
Answer:
B. formulate a plan. Write the two variable expressions and define the given variable. Then, write the equation.
Variable defenition:
Right- side expression:
Write the equation:
Step-by-step explanation:
B. formulate a plan. Write the two variable expressions and define the given variable. Then, write the equation.
Variable defenition:
Right- side expression:
Write the equation:
Answer:
Simple! She earned $280
Step-by-step explanation:
3500 x 2 x 4 = 28000/100 = 280
In 10yrs operating on the same frequency of rate, she's gonna earn;
3500 x 10 x 4 = 140000/100 = $1,400.
Therefore, $1400 dollars is what she's gonna earn in 10 years time.
To dilate means to make larger and when dilating a shape you make all sides go up by the same ratio not amount you don't just add the same number to each side. also I have to assume that the sides go in order for every answer. so to start you set up a ratio using the first side take the 16 from the instructions and put it over the first side in the first answer so 16/24 or 2/3 when reduced then take the second side from the instructions and first answer and set them up the same way 28/40 reduced to 7/10 now if these ratios were equal it would be the answer however because 7/10 doesn't equal 2/3 a is not the answer. do the same for all the answers and you will get c to be the answer
Answer:
And the width for the confidence interval is given by:
And we want to see the effect if we increase the confidence level for a interval. On this case if we increase the confidence level then the critical value for the confidence interval 
would be higher and then the width of the interval would increase. So then the best answer for this case would be:
B. Increasing the level of confidence widens the interval.
Step-by-step explanation:
Let's assume that we have a parameter of interest 
who represent for example the true mean for a population. And we can construct a confidence interval in order to estimate this parameter if we know the distribution for the statistic let's say 
and for this particular example the confidence interval is given by:
Where ME represent the margin of error for the estimation and this margin of error is given by:
And the width for the confidence interval is given by:
And we want to see the effect if we increase the confidence level for a interval. On this case if we increase the confidence level then the critical value for the confidence interval would be higher and then the width of the interval would increase. So then the best answer for this case would be:
B. Increasing the level of confidence widens the interval.
