Answer:
The test statistic is 
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is 
The sample mean is 
The standard deviation is 
Generally the test statistics is mathematically represented as

substituting values


Answer:
- The approximate distance between the docks is 357 feet
Step-by-step explanation:
Let the distance between docks be d.
This is the opposite side to 45° angle of triangle with other sides 400 ft and 500 ft.
Use the law of cosines to find the value of d:
(rounded)
Answer:
y= 1/2x + 17/2
Step-by-step explanation:
First, find your slope using y-y1/x-x1. This is your expression: 10-6/3--5. 10-6 equals 4, and 3--5 equals 8. Your slope is 4/8, but it can be simplified to 1/2. This should be your current equation: y=1/2x+b. Plug in one of your ordered pairs to the equation, it doesn't matter which pair you want to use. I'm using the second ordered pair, so this is what you would have: 10=1/2(3)+b. Multiply 1/2 by 3 to get 3/2. This is what it should look like: 10=3/2+b. Subtract 3/2 from both sides to get your y-intercept of 17/2. Go back to your original equation and plug in your y-intercept. This is your final answer: y= 1/2x + 17/2. Hope this helped!