Answer:
We accept the null hypothesis and conclude that voltage for these networks is 232 V.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 232 V
Sample mean,
= 231.5 V
Sample size, n = 66
Sample standard deviation, s = 2.19 V
Alpha, α = 0.05
First, we design the null and the alternate hypothesis
We use Two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,

We accept the null hypothesis and conclude that voltage for these networks is 232 V.
X=2/3y because you want to know what roberts time is
Answer:
D : [-2,0) U (0, infinity) ; -2<=x<0 U x>0
Answer: 66cm
Step-by-step explanation:
Diameter (d) = 21 cm
c= πd = 22/7 x 21 = 22 x 3 = 66cm
Answer:
, graph is there for reference.
Step-by-step explanation:
Given,
is the number of math problem Lucy solved.
is the number of pages she read.
She can do each math problem in
minutes, therefore she can solve
number of questions into
minutes.
She can read each page in
minutes, therefore she can read
pages in 2.5y minutes.
As per given detail,
equation 1.
And,
It is given that number of math problems Lucy solved is 3 times the number of pages she read.
equation 2.
We need to find
and
intercept of each of the equation to graph them.
For
put y=0
We will get 
Thus the point is 
Let us find
by assuming 
we get 
Thus the point is 
Join these two points.
Similarly considering the other equation 
Here x-intercept would be at
We will get 
Thus the point is 
Let us assume on more point, say
, we get 
Thus the point is 
Join these two points.
We will get a point of intersection at 
Thus
and 