Answer:
a. The probability of taking out a purple flower is 0.47.
b. The probability that out of a sample of 5 flowers at least 3 flowers are yellow 0.56.
c. The standard deviation of the distribution for proportion of yellow flowers is 0.22.
d. The probability that out of the 263 samples, at most 150 of them are yellow is 0.90.
Step-by-step explanation:
<u>Given</u>:
The given expression to find the nth term of the sequence is 
The first term of the sequence is 
We need to determine the third term of the sequence.
<u>Second term:</u>
The second term of the sequence can be determined by substituting n = 2 in the nth term of the sequence.
Thus, we have;




Thus, the second term of the sequence is -40.
<u>Third term:</u>
The third term of the sequence can be determined by substituting n = 3 in the nth term of the sequence.
Thus, we have;



Thus, the third term of the sequence is 120.
<u>ANSWER</u>
The zeros are 
EXPLANATION
Given;
.
We can rewrite the function as



The zeros are found by equating the function to zero.


The multiplicity is 1, since it is odd the graph crosses at this intercept. which is 
Or

The multiplicity is 1, since it is odd the graph crosses at this intercept. which is 
Or

This last root has a multiplicity of 2.
That is
repeats two times.
Since the multiplicity is even, the graph touches the x-axis at the point
.
See graph.