Answer:
The correct solution is "0.002". A further solution is given below.
Explanation:
The given values are:
The total number of playing cards,
= 52 cards
Total number of diamonds,
= 13
Now,
The probability of top four cards will be:
=
On putting the values, we get
= 
= 
= 
Answer:It affects the diffusion across a membrane
Explanation:
Since this is placed in the AP section, I assume it is AP Biology, which the syllabus puts emphasis on diffusion
The smaller the ratio is, the bigger the cell. SO, if the ratio is small enough, the molecule will not be able to diffuse through the membrane. Keep that in mind when you calculate different rations using the radius.
Answer:

Explanation:
Let the length of the rectangle be
units.
We were given that the length is <em>3 less than twice the width.</em>
This implies that: 
We have that the area of this rectangle is 50 square inches.
Recall that area of rectangle is given by:


Therefore the required equation is 
Hi there!
a.
To find the total amount of people that have ENTERED by t = 20, we must take the integral of the appropriate function.

Evaluate using a calculator:

b.
To solve, we can find the total amount of people that have entered of the interval and subtract the total amount of people that have left from this value.
In other terms:

We can evaluate using a calculator (math-9 on T1-84):


c.
If:

Then:

Evaluate at t = 20:


This means that at t = 20, there is a <u>NET DECREASE</u> of people at the movie theater of around 20.823 (21) people per hour.
d.
To find the maximum, we must use the first-derivative test.
Set S(t) - R(t) equal to 0:

Graph the function with a graphing calculator and set the function equal to y = 0:
According to the graph, the graph of the first derivative changes from POSITIVE to NEGATIVE at t ≈ 17.78 hours, so there is a MAXIMUM at this value.
<u>Thus, at t = 17.78 hours, the amount of people at the movie theater is a MAXIMUM.</u>