What is a rational number
2 answers:
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D. 1/3
A cube root can be written as an exponent: 1/3
Answer:
Option B)
Step-by-step explanation:
The given geometric sequence is
2, 8, 32, 128,....
The general form of a geometric sequence is given by
Where n is the nth term that we want to find out.
a₁ is the first term in the geometric sequence that is 2
r is the common ratio and can found by simply dividing any two consecutive numbers in the sequence,
You can try other consecutive numbers too, you will get the same common ratio
So the common ratio is 4 in this case.
Substitute the value of a₁ and r into the above general equation
This is the general form of the given geometric sequence.
Therefore, the correct option is B
Note: Don't multiply the first term and common ratio otherwise you wont get correct results.
Verification:
Lets find out the 2nd term
Substitute n = 2
Lets find out the 3rd term
Substitute n = 3
Lets find out the 4th term
Substitute n = 4
Lets find out the 5th term
Substitute n = 5
Hence, we are getting correct results!
Answer:
The 95% confidence interval for the difference between the proportion of women who drink alcohol and the proportion of men who drink alcohol is (-0.102, -0.014) or (-10.2%, -1.4%).
Step-by-step explanation:
We want to calculate the bounds of a 95% confidence interval of the difference between proportions.
For a 95% CI, the critical value for z is z=1.96.
The sample 1 (women), of size n1=1000 has a proportion of p1=0.494.
The sample 2 (men), of size n2=1000 has a proportion of p2=0.552.
The difference between proportions is (p1-p2)=-0.058.
The pooled proportion, needed to calculate the standard error, is:
The estimated standard error of the difference between means is computed using the formula:
Then, the margin of error is:
Then, the lower and upper bounds of the confidence interval are:
The 95% confidence interval for the difference between proportions is (-0.102, -0.014).