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Answer:
a. possible sample size is 10
b. mean is 3
c standard deviation is 0.9
Step-by-step explanation:
Mean of any given set of numbers is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers.
Standard deviation is a measure of the amount of variation or dispersion of a set of values.
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Answer:
See explanation
Step-by-step explanation:
Paul has three cube-shaped boxes. Each box is a different size and they are stacked from the largest to the smallest. Some information about the boxes is given below.
- The combined volume of the three boxes is 1,197 cubic inches.
- The area of one face of the medium box is 49 square inches.
- The volume of the smallest box is 218 cubic inches less than the volume of the medium box.
1. The medium box has the area of one face of 49 square inches, then
is the side length.
The volume of the medium box is
2. The volume of the smallest box is 218 cubic inches less than the volume of the medium box, then the volume of the smallest box is
Ib is the side length, then
The area of one face is
3. The volume of the largest box is
then if c is the side length,
4. The total height of the stack is the sum of all sides lengths:
5. Find the surface area of each box:
- small
- medium
- large
In total, Paul needs
of wrapping paper. He has 1,000 square inches, so Paul has enough paper to wrap all 3 boxes.
Here three sides of a right angled triangle given.
The three sides are b, 8 and 14.
The side with length 14 is the hypotenuse here. We have to find the side of length b.
To get b, we will use Pythagoras theorem here.
By using Pythagoras theorem we can write,
, where c is the hypotenuse.
So here we can write,
To solve it for b, now we have to move 64 to the left side by subtracting it from both sides.
Now to find b, we have to take square root to both sides. We will get,
We have got the required answer for the side b.