Answer:
844368.7 m
Step-by-step explanation:
We are given that a typical sugar cube has an edge length of 1.00 cm.
We have to find the edge length of the box in meters.
Edge length of sugar cube=1 cm =
(
)
Volume of a sugar cube=
1 mole of sugar=
Volume of 1 unit=
Volume of
units=
Volume of box=1 mole of sugar=
Edge length of box=![\sqrt[3]{6.02\times 10^{17}}=844368.7 m](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B6.02%5Ctimes%2010%5E%7B17%7D%7D%3D844368.7%20m)
Answer:
poi nts
Step-by-step explanation:
7
I've attached a plot of one such cross-section (orange) over the region in the x-y plane (blue), including the bounding curves (red). (I've set

for this example.)
The length of each cross section (the side lying in the base) has length determined by the horizontal distance

between the y-axis

and the curve

. In terms of

, this distance is

. The height of each cross section is twice the value of

, so the area of each rectangular cross section should be

.
This means the volume would be given by the integral
Answer:
There is a significant difference between the two proportions.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for difference between population proportions is:

Compute the sample proportions as follows:

The critical value of <em>z</em> for 90% confidence interval is:

Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering as follows:


There will be no difference between the two proportions if the 90% confidence interval consists of 0.
But the 90% confidence interval does not consists of 0.
Thus, there is a significant difference between the two proportions.

is already in simplest form.
But if you meant to say

, we would combine the first two terms.
Adding/subtracting like terms is the same as adding/subtracting whole numbers.

Therefore:

Which gives us: