What is the value of 3 + y ÷ 4, when y = 16? Enter your answer in the box.
2 answers:
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Option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.
<h3>What is a sequence?</h3>
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
The question is incomplete.
The question is:
What can be concluded about the sequences 19, 15, 11, 7, . . . represented on the graph? Check all that apply.
- The common difference of the sequence is the same as the slope of the graph.
- The slope of the graph is –4.
- The next term in the sequence is represented by point (4, 3).
- f(x) = –4x + 19 represents the sequence.
- An infinite number of points can be determined to follow this sequence.
The graph is attached to the picture please refer to the graph.
We have an arithmetic sequence:
19, 15, 11, 7,...
The first term is:
a = 19
Common difference d = 15-19 = -4
The nth term:
a(n) = 19 + (n-1)(-4)
a(n) = 19 -4n + 4
a(n) = -4n + 23
We can write above expression as:
f(x) = -4x + 23
Slope of the equation = -4
The correct options are:
- The common difference of the sequence is the same as the slope of the graph.
- The slope of the graph is –4.
Thus, an option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.
Learn more about the sequence here:
#SPJ1
Answer:
Probability that exactly 5 of them favor the building of the health center is 0.0408.
Step-by-step explanation:
We are given that in a recent survey, 60% of the community favored building a health center in their neighborhood.
Also, 14 citizens are chosen.
The above situation can be represented through Binomial distribution;
where, n = number of trials (samples) taken = 14 citizens
r = number of success = exactly 5
p = probability of success which in our question is % of the community
favored building a health center in their neighborhood, i.e; 60%
<em>LET X = Number of citizens who favored building of the health center.</em>
So, it means X ~
Now, Probability that exactly 5 of them favor the building of the health center is given by = P(X = 5)
P(X = 5) =
=
= 0.0408
Therefore, Probability that exactly 5 of them favor the building of the health center is 0.0408.
Answer:
Option 1 is correct.
-5
Step-by-step explanation:
Given:
The given expression is.
Write the given expression in simplest form.
Add negative term of y.
The simplest form of given expression is
Therefore, the coefficient of the variable term is -5