<u>Answer:</u>

<u>Step-by-step explanation:</u>
We are given the following equation and we are supposed to solve y in terms of x. It simpler terms, it means that we have to make y the subject of the equation while x being used in it as it is:

Taking the constant 4 to the side where x is to get:

Multiplying the denominator 3 to the other side of the equation to get:

Isolating y to make it the subject:

Answer:
15<x<27
Step-by-step explanation:
Rule for the sides of a triangle:
The sum of the two smallest sides of a triangle must be greater than the biggest side.
In this question:
Sides of 6, 21 and x. We have to find the range for x.
If 21 is the largest side:
Two smallest are 6 and x.
x + 6 > 21
x > 21 - 6
x > 15
If x is the largest side:
Two smallest and 6 and 21. So
21 + 6 > x
27 > x
x < 27
Then
x has to be greater than 15 and smaller than 27. So the answer is:
15<x<27
v = w - 20
move -20 to the other side
sign changes from -20 to +20
to get w by itself
v+20= w-20+20
Answer:
w= v+20 or w= 20+v
Hello,
Radius= √((4-0)²+(5-0)²)=√41
Equation of the circle : x²+y²=41
Answer:
The question is incomplete, but the step-by-step procedures are given to solve the question.
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 = 2.575.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M.
The upper end of the interval is the sample mean added to M.
The 99% confidence interval for the population mean amount of beverage in 16-ounce beverage cans is (lower end, upper end).