Answer:
Mean =26.2
Median=27
Mode=32
Range=38
Step-by-step explanation:
From the stem and leaf plot, we obtain the original data as:
9,11,12,12,14,17,25,25,27,32,32,32,33,35,41,42,47
The median is middle observation of the array.
Thebefore the median is 27
The mode is the number that occurs most.
The mode is 32.
The range is the highest observation minus the least observation.
The range is 47-9=38
The mean is given by:
We are given
length of rectangular yard is x
so,
width of rectangular yard is
so,
We are given
the length of the enclosed yard is 50 feet
so, we get
now, we can plug x=50 and then we can find width
now, we can find total fencing length
so, total fencing length is
now, we can plug values
now, we are given
the cost of fencing is $13 per foot
so,
total cost = (cost of fencing)*(total fencing length)
we can plug values
So, Janice will spend $4030.........Answer
Answer:
A.) 1018 square inches
Step-by-step explanation:
The largest sphere will have a diameter equaling the length of the cube (see picture).
If the side length of the cube is 18 inches, the diameter of the sphere is also 18 inches. Use the surface area formula for a circle:
For this formula, we need the radius of the sphere. Divide the diameter by 2:
The radius is 9 inches. Plug this into the equation:
Simplify the equation:
Round the result to the nearest whole number:
→
The surface area is 1,018 inches².
:Done
Picture:
In a 2D version, we can clearly see that if the circle fits snuggly inside of the square, the diameter of a sphere is the same as the length of a side of the cube.
