Integers are closed under subtraction.
Answer:
Therefore four rational numbers between 1 and 2 are 9/8, 5/4, 3/2, and 7/4 Step-by-step explanation:
Firstly, we can convert all of the fractions into percentages. To do this, we need to make the denominator of the fraction 100, and whatever we do to the denominator we must also do to the numerator.
5 x 20 = 100
1 x 20 = 20.
So Carl recieves 20/100 or 20% of the votes.
4 x 25 = 100
1 x 15 = 25
So Conroy receives 25/100 or 25% of the votes.
If we add these together and Gilda's 5%, we get 50%. Since there are 100% votes overall, we need to do 100 - 50 = 50.
Kyla receives 50% of the votes.
Answer:

And we can find the individual probabilities like this:
And adding we got:

Step-by-step explanation:
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".
Let X the random variable of interest, 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:
Solution to the problem
For this case we want to find this probability:

And we can find the individual probabilities like this:
And adding we got:

<em>Answer</em>
= 11
<em>Explanation</em>
f(x) = x² + 3x- 7
To get the value of f(x) when x = 3, we substitute x with 3 in the function f(x).
f(x) = x² + 3x- 7
= 3² + (3×3) -7
= 9 + 9 - 7
= 11