From the first equation
6x - y = 1
6x - y - 1 = 0
6x - 1 = y
Substituting we get
4x - 3(6x - 1) = -11
<h2>Greetings!</h2><h3>Firstly, the slope is found by rearranging the formula:</h3>
3y = 4x + 39
y =
+ 
When x is 0, y = 0(x) +
, so the y intercept is 
<h3>Next, the slope is simply the number in front of the x, </h3>
So
can be rearranged to
, so the slope would be
.
<h2>Hope this helps!</h2>
Answer:
11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they received a pneumococcal vaccination, or they did not. The probability of an adult receiving a pneumococcal vaccination is independent of other adults. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
70% of U.S. adults aged 65 and over have ever received a pneumococcal vaccination.
This means that 
20 adults
This means that 
Determine the probability that exactly 12 members of the sample received a pneumococcal vaccination.
This is P(X = 12).


11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.
Answer:
Approximatley 5.8 units.
Step-by-step explanation:
We are given two angles, ∠S and ∠T, and the side opposite to ∠T. We need to find the unknown side opposite to ∠S. Therefore, we can use the Law of Sines. The Law of Sines states that:

Replacing them with the respective variables, we have:

Plug in what we know. 20° for ∠S, 17° for ∠T, and 5 for <em>t</em>. Ignore the third term:

Solve for <em>s</em>, the unknown side. Cross multiply:
