To calculate the area of the circle, make sure to use the equation. A = Pi r^2, since the diameter is given divide by 2 to get the radius and plug into the equation.
Then locate the decimal place that is hundredths and round
Answer:

Step-by-step explanation:
we know that
The smallest cube that could circumscribe the sphere has a length side equal to the diameter of the sphere
In this problem
The radius of the sphere is 
The diameter of the sphere is two times the radius

so
The length side of the cube is

Remember that
The surface area of a cube is equal to the area of its six faces
so

substitute the value of b


Answer:
1/41416353 probability of all five numbers and the mega number matching the winning numbers
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order of the numbers is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Probability of the five numbers matching:
Desired outcomes: 1 -> the matching numbers
Total outcomes: 5 from a set of 47. So

Probability:

Probability of the mega number matching:
1 from a set of 27. So

Probability of both matching:
Independent events, so we multiply the probabilities:

1/41416353 probability of all five numbers and the mega number matching the winning numbers
Answer:

Step-by-step explanation:

Answer:
75% bigger
Step-by-step explanation:
Let the first number be x and the second be y.
So:

And:
-----30% less than x
Substitute
in 




Cross multiply


Collect like terms


Make x the subject


So, the average is:




Rewrite as:

Express as percentage

This means that the average is 75% bigger than the second number