# 6. The following set of numbers indicates the number of natural satellites (moons) of each of the planets in our solar system. Find the mode. 0, 0, 1, 2, 63, 61, 27, 13 A. 20.9 OB. 13 C. 63 D.O.

D.O.

## Related Questions

Jake volunteers to help out his younger brother's basketball team in his free time. One of his tasks is to ensure that all the basketballs have enough air in them. Given that a proper inflated basketball measures 8.8 inches across, what is the total volume of air inside six of Jake's basketballs? Assume that the wall of each ball is infinitely thin.

The volume is 2140.98 inches³

Step-by-step explanation

The basketballs are spherical, and it is known that the volume of a sphere is

Where V is the volume of the ball and r is its radius

They tell us that the ball measures 8.8 inches wide. This means that its diameter is 8.8 inches.

It is known that the radius of a sphere is equal to half its diameter.

Therefore, the radius r of the ball is:

r = 4.4 inches.

Then, they tell us to consider that the walls of the ball are infinitely thin, which means that we should not take into account their thickness in the calculation of the volume.

We already have all the data we need, now we proceed to calculate the volume.

Where V is the volume of only one of the balls

The volume of the six balls is V = 6 * 356.83 = 2140.98 inches³

Finally the volume is 2140.98 inches³

Step-by-step explanation:

4/3 * pi * (4.4)^3 * 6 = 8 * (4.4)^3 * pi = 681.472 * pi

The answer is : A) 681.47 * pi cubic inches

What is the solution to the equation?
16+x-11=18-5

A friend who works in a big city owns two cars, one small and one large. One-quarter of the time he drives the small car to work, and three-quarters of the time he takes the large car. If he takes the small car, he usually has little trouble parking and so is at work on time with probability 0.9. If he takes the large car, he is on time to work with probability 0.6. Given that he was at work on time on a particular morning, what is the probability that he drove the large car?

P (A║B)  = 0.54

Step-by-step explanation: To solve this problem we will use Bayes Theorem

express as:

P (A║B)  =   P (A) *  P (B║A)  /  P(B)

A friend has two car                                   smaller           and            large

Probability of using a car                          1/4 = 0.25                   3/4  =  0,75

probabilities arriving on time Event (A)           0.9                               0.6

Event B use of large car

We are going to examine the probabilities of arriving on time

If he uses the small car   his probabilities are  = 0,25*0.9 =  0.225

If he uses the large  car   his probabilities are  = 0.75 * 0.6 = 0.45

Total probability of arriving on time is =  0.225  +  0.45  = 0,675

Probability of arriving on time given that he drove a lage car  = 0.6

Probability of using a large car is 0.75

Then by subtitution we get

P (A║B)  =  ( 0.675 ) * 0.6 / 0.75

P (A║B)  = 0.54

Use the x intercept method to find all the real solutions of the equation