Answer:
The slope is 2/3
Step-by-step explanation:
-1/2x+3/4y=0
To find the slope, we need to get the equation in the form y= mx+b
Add 1/2x to each side
-1/2x+ 1/2 x+3/4y=0+1/2x
3/4 y = 1/2x
Multiply by 4/3 to isolate y
4/3 * 3/4 y = 4/3 * 1/2 x
y = 2/3 x
The slope is 2/3 and the y intercept is 0
The number of years it will take to earn his first million is 24 years
Average bi-weekly gross pay = $1,630
Bi-weekly = 2 weeks
Number of 2 weeks(bi-weeks) in a year = 26 bi-weeks
The least million he can earn is $1,000,000
Let the number of years = n
We could use the equation :
Least million = gross pay × (Number of bi-weeks × number of years)
1000000 = 1630 × (26n)
1000000 = 42380
Divide both sides by 34230
1000000 / 42380 = n
n = 23.59
The least number of years is 24.
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Answer:
Option B is correct.
Use the difference in sample means (10 and 8) in a hypothesis test for a difference in two population means.
Step-by-step Explanation:
The clear, complete table For this question is presented in the attached image to this solution.
It should be noted that For this question, the running coach wants to test if participating in weekly running clubs significantly improves the time to run a mile.
In the data setup, the mean time to run a mile in January for those that participate in weekly running clubs and those that do not was provided.
The mean time to run a mile in June too is provided for those that participate in weekly running clubs and those that do not.
Then the difference in the mean time to run a mile in January and June for the two classes (those that participate in weekly running clubs and those that do not) is also provided.
Since, the aim of the running coach is to test if participating in weekly running clubs significantly improves the time to run a mile, so, it is logical that it is the improvements in running times for the two groups that should be compared.
Hence, we should use the difference in sample means (10 and 8) in a hypothesis test for a difference in two population means.
Hope this Helps!!!