=3400(1+0.0825/1)^1*25
=3400(1.0825)^25
=3400(7.2560058)
=24670.41
Hope this assists!!!
The formula for determining the number of ways to select two pairs of sneakers from three pairs labeled A, B, and C is represented by 3C2 (3 combinations of 2), which calculates as 3! / (2!(3 - 2)!) = 3! / (2! x 1!) = (3 x 2) / (2 x 1) = 3. Therefore, the sample space is S = {AB, AC, BC}.
Response:
The factored expression
is
.
Detailed explanation:
Provided: 
Our goal is to express the given equation in a factored form.
Factoring pertains to rewriting an expression so that the product of its factors yields the original expression
Let’s consider the expression
.
We recognize the algebraic identity 
Thus, we have
.
Matching with the above identity, we assign x= a, and b = 11, leading to
.
Consequently, the factored expression
is
.
The test statistic (Z) is 2.5767, and the p-value of the test is 0.009975. The null hypothesis suggests that the smoking rate among students has not changed, while the alternative indicates otherwise. The z-statistic for the sampled proportion is computed, yielding z ≈ 2.5767. As we investigate whether the smoking percentage has shifted over the preceding five years, the two-tailed p-value is found to be 0.009975. This result is significant at a 99% confidence level, demonstrating substantial evidence that the percentage of smoking students has changed.