Answer:
<h2>
The eleventh term of the sequence is 64</h2>
Step-by-step explanation:
The sequence given is an arithmetic sequence
14, 19, 24, …………., 264
The nth term of an arithmetic sequence is given as;
Tn = a+(n-1)d where;
a is the first term = 14
d is the common difference = 19-14=24-19 = 5
n is the number of terms = 11(since we are to look for the eleventh term of the sequence)
substituting the given values in the formula given;
T11 = 14+(11-1)*5
T11 = 14+10(5)
T11 = 14+50
T11 = 64
The eleventh term of the sequence is 64
Answer:
The margin of error for the 90% confidence interval is of 0.038.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.
This means that 
90% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
Give the margin of error for the 90% confidence interval.
The margin of error for the 90% confidence interval is of 0.038.
Answer:
x = - 1
Step-by-step explanation:
Given
3x + 2 = y and y = - 1
Substitute y = - 1 into the equation and solve for x, that is
3x + 2 = - 1 ( subtract 2 from both sides )
3x = - 3 ( divide both sides by 3 )
x = - 1
This is verified by the point on the graph with coordinates (- 1, - 1)
For this case we have the following function:
By power properties we can rewrite the function as follows:
We have then:
Then rewriting the function we have:
Answer:
an equivalent function to 
is:
