A container is shaped like a rectangular prism and has a volume of 72 cubic feet. Give four different sets of measurements that could be the dimensions of the container

Step-by-step explanation:

The formula for the volume of a prism is V = Bh

where,

B is the base area

h is the height.

Since, the base of the prism is a rectangle, therefore, volume of a rectangular prism = (L * B) * h

Assumptions:

Length, L and Width, B cannot be the same.

1.

h = 4 ft

B = 2 ft

L = 9 ft

2.

h = 4 ft

B = 3 ft

L = 6 ft

3.

h = 6 ft

B = 2 ft

L = 6 ft

4.

h = 2 ft

B = 2 ft

L = 18 ft

The probability of getting zero heads in six tosses is 0.015625.

The probability of getting exactly two heads in six tosses is 0.234375.

Step-by-step explanation:

Using the Minitab software for computing the desired probabilities.

We take n=6 and p=1/2  because we have six tosses and in binomial distribution the probability of success p remains constant in each trial whereas the probability of success in this case is getting heads.

When a coin is tossed then there are two possible outcomes head or tail.

So,

p= P(heads)=1/2=0.5  

The probability of getting zero heads in six tosses is computed by considering the following steps:

In Minitab

Calc >Probability Distributions > Binomial

Select n=6 and p=0.5 and select input constant=0 and bubble the probability and by clicking OK we get the following output:

Probability Density Function  

Binomial with n = 6 and p = 0.5

x  P( X = x )

0    0.015625

So, the probability of getting zero heads in six tosses is 0.015625.

The probability of getting exactly two heads in six tosses is computed by considering the following steps :

In Minitab

Calc >Probability Distributions > Binomial

Select n=6 and p=0.5 and select input constant=2 and bubble the probability and by clicking OK we get the following output:

Probability Density Function  

Binomial with n = 6 and p = 0.5

x  P( X = x )

2    0.234375

So, the probability of getting exactly two heads in six tosses is 0.234375.