Answer:
Step-by-step explanation:
1) Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
2) Solution to the problem
The probability in favor of the regulation based on the recent survey is:

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:
Step-by-step explanation:
<u>Step 1: Substitute x from the second equation into the second one</u>







<u>Step 2: Substitute y into the second equation</u>




Answer: 
Answer:
12 cm
Step-by-step explanation:
multiply 10 by .2
10 × .2 = 2
add 2 to 10
2 + 10 = 12 cm
Answer:Given expression : a(x-y)-b(x-y)
Now, (x-y) is common in both terms.
First factor is (x-y).
∴a(x−y)−b(x−y)=(x−y)(a−b)
If you are reading this hope you have a wonderful day and may your dreams come true!
Good luck
We must find the area of each cake's top.
Formula for area of a circle:

where r is the radius.
<span>small cake:
</span>Plug in 4 for r because the radius is 4. (They give us the diameter, which is 8, and the radius is half that)

A = 16π
<span>big cake:
</span>Repeat the process:
Plug in 12 for r because the radius is 12. (They give us the diameter, which is 24, and the radius is half that)

A = 144π
So our two radii are 144π and 16π.
The large cake's top is not 3 times the area of the small cake's.
This makes sense because you are squaring the radius, which makes the fact that the larger cake's diameter is triple the smaller cake diameter irrelevant.
Hope this helped! ^-^