Answer:
y = 4x / x = 1/4 y
Step-by-step explanation:
chairs = x ( to find out how many chairs there are you have to take the legs and divide them by 4 )
Legs = y ( to find out how many legs there are you must multiply the amount of chairs by 4 )
Answer:
a) [24.114,29.2858]
b) Since 30 is not in the 95% confidence interval, there is a 95% probability that 30 is not the true mean WEP
Step-by-step explanation:
a)
The 95% confidence interval is given by the interval
![\bf [ \bar x-z^*\frac{s}{\sqrt n}, \bar x+t^*\frac{s}{\sqrt n}]](https://tex.z-dn.net/?f=%20%5Cbf%20%5B%20%5Cbar%20x-z%5E%2A%5Cfrac%7Bs%7D%7B%5Csqrt%20n%7D%2C%20%5Cbar%20x%2Bt%5E%2A%5Cfrac%7Bs%7D%7B%5Csqrt%20n%7D%5D)
where
= 26.7 is the sample mean
s = 17.7 is the sample standard deviation
n = 180 is the sample size
Since the sample size is big enough, we can use the Normal N(0,1) to compute
and it would be 1.96(*) (a value such that the area under the Normal curve outside the interval [-z, z] is 5% (0.05))
and our 95% confidence interval is
![\bf [26.7-1.96*\frac{17.7}{\sqrt{180}}, 26.7+1.96*\frac{17.7}{\sqrt{180}}]=\boxed{[24.114,29.2858]}](https://tex.z-dn.net/?f=%20%5Cbf%20%5B26.7-1.96%2A%5Cfrac%7B17.7%7D%7B%5Csqrt%7B180%7D%7D%2C%2026.7%2B1.96%2A%5Cfrac%7B17.7%7D%7B%5Csqrt%7B180%7D%7D%5D%3D%5Cboxed%7B%5B24.114%2C29.2858%5D%7D)
(*)
This value can be computed in Excel with
<em>NORMINV(1-0.025,0,1)</em>
and in OpenOffice Calc with
<em>NORMINV(1-0.025;0;1)</em>
b)
Since 30 is not in the 95% confidence interval, there is a 95% probability that 30 is not the true mean WEP
Answer: I think your answer would be B
i hope it's right
Answer:

Step-by-step explanation:

First, simplify
:


Hope this helps!
Answer: First Option
<em>The points have the same x-coordinate value.</em>
Step-by-step explanation:
By definition, a relation is considered a function if and only if for each input value x there exists <u><em>only one </em></u>output value y.
So, the only way that the line that connects two points in the coordinate plane is not a function, is that these two points have the same coordinate for x.
For example, suppose you have the points (2, 5) and (2, 8) and draw a line that connects these two points.
The line will be parallel to the y axis.
Note that the value of x is the same x = 2. But when x = 2 then y = 5 and y = 8.
There <u><em>are two output</em></u><em> </em>values (y = 8, y = 5) for the same input value x = 2.
In fact all the vertical lines parallel to the y-axis have infinite output values "y" for a single input value x. Therefore, they can not be defined as a function.
<u>Then the correct option is:
</u>
<em>The points have the same x-coordinate value.</em>