Answer:
option D is true.
Step-by-step explanation:
Given the sequence
7, 12, 17, 22, ...
An arithmetic sequence has a constant difference 'd' and is defined by
Computing the differences of all the adjacent terms
The difference between all the adjacent terms is the same
so
as
Thus, the nth term of the arithmetic sequence will be:
Therefore, option D is true.
Answer:
Ben's rate is greater than Kate's rate.
Step-by-step explanation:
1. If it takes Ben 2 days to write reports, then his rate is of reports per day.
2. If it takes Kate 3 days to write reports, then her rate is of reports per day.
3. Ben's rate is
greater than Kate's rate.
Answer:
1.7 × 10⁻⁴
Step-by-step explanation:
The question relates to a two sample z-test for the comparison between the means of the two samples
The null hypothesis is H₀: μ₁ ≤ μ₂
The alternative hypothesis is Hₐ: μ₁ > μ₂
Where;
= 13.5
= 12
σ₁ = 2.5
σ₂ = 1.5
We set our α level at 0.05
Therefore, our critical z = ± 1.96
For n₁ = n₂ = 23, we have;
We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96
Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983
Therefore;
The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.