Answer:
103=618/6
0.0097=6/618
Step-by-step explanation:
Hey there!
To solve this system of equations, you will need to get one of the terms in both equations to cancel out to zero. If there isn't a term that you can cancel out, you can multiply either or both equations to make that term. There's no wrong way to do this, just as long as you make sure that you double check whether your should add or subtract. This is easier shown than explained, so refer below:
<span> x + y = +1
5x + y = –6
</span>–1(x + y = +1)
5x + y = –6
–x – y = –1
5x + y = –6
You can see that once we combine these equations by adding, the y term will become 0, eliminating it. This is necessary for solving the system, so make sure you do it. Also, remember to distribute the term that you need to to all of the numbers in the equation! After that, just solve for the variable that's still in the equation.
–x – y = –1
+ 5x + y = –6
4x + 0y = –7
4x = –7
x = –1.75
Now, just plug the value we found for x into either one of your equations in the original system as it's presented in your problem.
x + y = 1
–1.75 + y = 1
+1.75 +1.75
y = 2.75
All that's left to do is check your point (–1.75, 2.75). If it's true for both equations, your answer is correct!
–1.75 + 2.75 = 1
<span>5(–1.75) + 2.75 = –6
</span>(–1.75, 2.75) is the solution to your system.
Hope this helped you out! :-)
Answer:
square feet area is covered by seeds per pound
Step-by-step explanation:
Given
pound bag of seed cover an area of 
square feet
pound bag of seed cover an area of square feet
Or
square feet area is covered by pound bag of seed
Area in square feet covered by one pound bag of seed
square feet
Answer:
a) 0.23
b) The 95% confidence interval for the population proportion is (0.1717, 0.2883).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
Point estimate
The point estimate is:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the population proportion is (0.1717, 0.2883).
Given:
The equation of a circle is:
To find:
Center and the circumference of the circle.
Solution:
The standard form of a circle is:
...(i)
Where, (h,k) is center and r is the radius.
We have,
...(ii)
On comparing (i) and (ii), we get
So, the center of the circle is (3,0) and the radius of the circle is 
.
Now, the circumference of the circle is:
Therefore, the circumference of the circle is about 35.5 units.
