Answer:
Required probability is 0.19
Step-by-step explanation:
The two-way table for the given data is,
Fiction Non-Fiction Total
9th grade 35 8 43
10th grade 52 12 64
Total 87 20 107
It is required to find the probability of the students who prefer to read non-fiction novels, given that they are in 9th grade.
That is, to find the conditional probability
.
Now, 
So, we get,

<h3>Thus, the required probability is 0.19.</h3>
The value of the expression given as [3² * 3⁻⁵]/[5⁻²] is 25/27
<h3>How to evaluate the expression?</h3>
The expression is given as:
3 squared times 3 to the power of negative 5 end quantity over 5 to the power of negative two
Rewrite properly as:
[3² * 3⁻⁵]/[5⁻²]
Apply the negative exponent law of indices
So, we have
[3² * 3⁻⁵]/[5⁻²] = [5²]/[3⁻² * 3⁵]
Apply the exponent law of indices
[3² * 3⁻⁵]/[5⁻²] = [5²]/[3³]
This gives
[3² * 3⁻⁵]/[5⁻²] = 25/27
Hence, the value of the expression given as [3² * 3⁻⁵]/[5⁻²] is 25/27
Read more about expressions at:
brainly.com/question/723406
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Answer:
40 rows will hamsters fill
Step-by-step explanation:
As per the statement:
There are 486 hamsters at a private showing of a new documentary about humans.
⇒Total number of hamsters = 486
It is also given that there are 12 seats in each row.
then;
They will fill = 
Therefore, the best estimate the rows will hamsters fill is 40 rows.
The answer is 16 pi - 16. The area of each triangle is 8, so both triangles are 16. The area of the circle is pi times the radius squared, 16 pi.