2/5p+6-3-2p+4/5p
-2p+6/5p+6-3+4
-10/5p+6/5p+3+4
-4/5p+7
-0.8p+7
Answer:

Step-by-step explanation:
Given




Required
Determine their next meeting time
First, we need to get their unit rate in minutes per round


Convert 360 seconds to minutes



Divide by 2/2

So, we have:



Next, is to determine the LCM of 18, 6 and 2



Their LCM is:


This means that they will meet 18 minutes after their initial time of departure.
So:


Answer:
StartFraction negative 1 Over k cubed EndFraction
Step-by-step explanation:
3k / (k + 1) × (k²- 1) / 3k³
= 3k(k² - 1) / (k + 1)(3k³)
= 3k³ - 3k / 3k⁴ + 3k³
= -3k / 3k⁴
= -1/k³
StartFraction k + 1 Over k squared EndFraction
(k + 1) / k²
StartFraction k minus 1 Over k squared EndFraction
(k - 1)/k²
StartFraction negative 1 Over k cubed EndFraction
= -1/k³
StartFraction 1 Over k EndFraction
= 1/k
Answer:
Step-by-step explanation:
The record of the statistics and the summary statistics which are the missing files in the question are attached below.
From the given information:
The null hypothesis and the alternative hypothesis can be represented by :
There is no difference between the average time spend by men and women at gym each week
The average time spend by men is greater than the average time spend by women at the gym each week
From the summary statistics in the attached file below:
The p-value = 0.3253
Level of significance = 5% = 0.05
Therefore; it is obvious that the p-value is greater than the level of significance i.e (0.3253 > 0.05)
Hence; there is no enough evidence to reject the null hypothesis
CONCLUSION: We conclude that the mean number of minutes exercised per week is larger for men than women at the this gym.