Answer:
The required hypothesis to test is 
and 
.
Step-by-step explanation:
Consider the provided information.
It is given that the nightclub has recently surveyed a random sample of n = 250 customers of the club.
She would now like to determine whether or not the mean age of her customers is over 30.
Null hypotheses is represents as 
. Thus the null hypotheses is shown as:
The alternative hypotheses is represents as 
. Thus the alternative hypotheses is shown as:
Hence, the required hypothesis to test is and .
<span> 9 × 10^9
---------------- = 3 x 10^13
</span><span>3 x 10^-4
answer
3 x 10^13 times larger</span>
Check the picture.
let the length of a side of each of the squares removed be x.
The box formed will have dimensions: 80-2x, 50-2x, x(the height)
So the volume can be expressed as a function of x as follows:
f(x)=(80-2x)(50-2x)x=
![[4000-160x-100x+4 x^{2} ]x=(4 x^{2}-260x+4000)x](https://tex.z-dn.net/?f=%5B4000-160x-100x%2B4%20x%5E%7B2%7D%20%5Dx%3D%284%20x%5E%7B2%7D-260x%2B4000%29x)
so
the solutions of f'(x)=0 gives the inflection points, so the candidates for maxima points,
solving the quadratic equation, either by a calculator, graphing software, or by other algebraic methods as the discriminant formula, we find the solutions
x=10 and x=33.333
plug in f(x) these values to see which greater:
cm cubed
which is negative because (50-66.666)<0
Answer: 18000 cm cubed
Answer:
$3.34 for each pound of popcorn
Step-by-step explanation:
All we must do, in this case, is divide 8.35 by 2.5.
This equals 3.34.
Therefore, each pound of popcorn cost $3.34.
Don't believe me? To check, just multiply 3.34 by 2.5.
Please let me know if you need help with anything else. :)
