Answer:
y = -7/4x - 11
Step-by-step explanation:
formula is y = mx + b
m is the slope
b is the y intercept
y = -7/4x -11
which is the first one
The simplified form of the expression is given as 83x/56 -(97/105)
<h3>Finding the value of unknown variables</h3>
Alphabets are usually represented as unknown variables in a equation or expression.
Given the following expression shown below
6/7 x -2/3 + 3/5 + 5/8 x -6/7
Collect the like terms to have;
6/7 x+ 5/8 x -2/3 + 3/5 -6/7
Simplify
48x+35x/56 - (70-63 + 90)/105
The final expression will be given as;
83x/56 -(97/105)
Hence the simplified form of the expression is given as 83x/56 -(97/105)
Learn more on expression simplification here: brainly.com/question/723406
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Answer:
Step-by-step explanation:
diameter/2 = radius
12/2 = radius
radius = 6
The outer edge means you are measuring the circumference of the pizza.
Circumference = 2(pi)(radius)
Circumference = 2(pi)(6)
You are only finding 1/8 of the circumference
Therefore you are multiplying the circumference by 1/8
Length of 1 slice = (1/8)((2)(pi)(6)) = (12/8)(pi) = (3/2)(pi) = (3(pi)) / (2) or 4.71 inches
Answer:
(47.3, 54.1)
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.
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. So it is 50.7 - 3.4 = 47.3
The upper end of the interval is the sample mean added to M. So it is 50.7 + 3.4 = 54.1
The answer is (47.3, 54.1).