The formula of a distance between two points:
We have:
substitute:
Answer:
The z-score is 
The percentile is 
Step-by-step explanation:
From the question we are told that
The data value is 0.6 standard deviations above the mean i.e 
Where 
is the population mean and 
is the standard deviation
Generally the z-score is mathematically represented as
=> 
=>
The percentile is obtained from the z-table and the value is
=>
Answer:
Dave's graph has been reflectes across the x-axis and has a horizontal stretch compared to Melissa's graph.
Step-by-step explanation:
Answer:
clockwise from left, the missing side lengths are 8 m, 13 m, 8 m
Step-by-step explanation:
The perimeter of the figure is the sum of the lengths of its sides. Sides with the same hash mark have the same length, so the perimeter (in meters) is ...
38 = (3x+1) +(2x) +(9) +(2x)
38 = 7x +10
28 = 7x . . . . . . subtract 10
4 = x . . . . . . . . divide by 7
Then the short sides are ...
2x = 2·4 = 8 . . . meters
and the long side is ...
3x+1 = 3·4 +1 = 13 . . . meters
The average speed of an object moving is its rate of change per time interval. It is equal to the total distance traveled divided by the total time it takes to travel that distance. We calculate the average speed of the olympic record as follows:
The units of the average speed should be miles per hour so we need to convert the distances in to miles and time into units of hours.
distance 1= <span>26 mi
distance 2 = 385 yd ( 1 mile / 1760 yd ) = 0.21875 mi
total distance = 26 + 0.21875 = 26.21875 mi
time 1 = 2 h
time 2 = 9 min ( 1 h / 60 min ) = 0.15 h
time 3 = 21 s ( 1 h / 3600 s ) = 0.0058 h
total time = 2 + 0.15 + 0.0058 = 2.1558 h
average speed = total distance / total time = 26.21875 mi / 2.1558 hr = 12.1620 mi / h</span>
