Answer:
0.229
Step-by-step explanation:
Given that the difference between the two sample means follows anormal distribution with a mean of11.00 and standard deviation equal to1.4387
A statistician is interested in the effectiveness of a weight-loss supplement. She randomly selects two independent samples. Individuals in the first sample of size n1 = 24 take the weight-loss supplement. Individuals in the second sample of size n2 = 21 take a placebo. Individuals in both samples follow identical exercise and diet programs. At the end of the study, the statistician measures the weight loss (in percent) of each participant.
We find that mean difference actual = 13-2 = 11
Probability that difference >12 =P(Z>
)
=P(Z>0.742)=.0.229
We have been given that a geometric sequence's 1st term is equal to 1 and the common ratio is 6. We are asked to find the domain for n.
We know that a geometric sequence is in form 
, where,
= nth term of sequence,
= 1st term of sequence,
r = Common ratio,
n = Number of terms in a sequence.
Upon substituting our given values in geometric sequence formula, we will get:
Our sequence is defined for all integers such that n is greater than or equal to 1.
Therefore, domain for n is all integers, where 
.
To begin, we can simplify the expression's denominator by finding a common denominator between the denominators of the fractions in the denominator. To make them compatible, we can convert
into
:
Next, we can simplify:
Finally, to cancel the denominator within the denominator, we can multiply the whole expression by
, or 1:
The expression simplifies to
, or
as a mixed number.
Step-by-step explanation:
Divided by zero is undefined. Hence B is the answer.
