Answer:
The average weekly grocery bill per four-person family in the town is significantly different from the national average.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $100
Sample mean, 
= $103.23
Sample size, n = 25
Alpha, α = 0.05
Sample standard deviation, s = $8.82
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.
We accept the null hypothesis and determine that the average weekly grocery bill per four-person family in the town is significantly same to the national average.
Let the length be l.
Formula of perimeter is P= 2(length +width )
1313 =2 (l+w)
l = \frac{1313}{2}-w
And the formula of area of rectangle = length times width .
A = l*w
A= (\frac{1313}{2}-w )*w
A = \frac{1313w}{2} -w^2
And that's the required objective function .
The equation represents parabola and a parabola is maximum at its vertex .
And the formula of vertex is
w = -\frac{b}{2a} =-\frac{1313}{4}
Substituting this value of w in the formula of area, we will get
A= \frac{1313*1313}{8} -(\frac{1313}{4})^2
Area= \frac{1723969}{16}=107748 \ square \ units .
Answer:
SUre, 2, 3 5
Step-by-step explanation:
Logbx-logby-2logbz
1/2ln2+3/2lnx+1/2lny
90, 75% is also .75 and .75*120 is 90
