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PilotLPTM [1.2K]
3 years ago
5

Jenna concludes that (4,9) is the solution to the system of these two equations. which of the following justifies her conclusion

?
A-the point (4,9) appears in both tables
B- only these two lines contain the point (4,9)
C-these two lines have the same rate of change
D-These two lines are perpendicular to each other
Mathematics
1 answer:
nalin [4]3 years ago
5 0

<u><em>Answer:</em></u>

a. The point (4,9) appears in both tables

<u><em>Explanation:</em></u>

<u>Note:</u> This question can be solved without the need of the tables

<u>A solution of a system of equations</u> is defined as a point (or set of points) that satisfy both equations

<u>This means that,</u> this point should belong to all the equations in the system

Now, a table is used to show a set of points that belong to a certain line

This means that, all vales in the table belong to the line they represent

<u>Since the point (4,9) appears in both tables</u>, therefore, it belongs to both lines and, therefore, is a solution to the system of equations consisting of these two lines

Hope this helps :)

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Binomial distribution can be used because the situation satisfies all the following conditions:1. Number of trials is known and remains constant (n)2. Each trial is Bernoulli (i.e. exactly two possible outcomes) (success/failure)3. Probability is known and remains constant throughout the trials (p)4. All trials are random and independent of the othersThe number of successes, x, is then given byP(x)=C(n,x)p^x(1-p)^{n-x}whereC(n,x)=\frac{n!}{x!(n-x)!}
Here we're given
p=0.10  [ success = defective ]
n=3

(a) x=0
P(x)=C(n,x)p^x(1-p)^{n-x}
=C(3,0)0.1^0(1-0.1)^{3-0}
=1(1)(0.729)
=0.729

(b) x=2
P(x)=C(n,x)p^x(1-p)^{n-x}
=C(3,2)0.1^2(1-0.1)^{3-2}
=3(0.01)(0.9)
=0.027

(c) x &ge; 2
P(x)=\sum_{x=2}^3C(n,x)p^x(1-p)^{n-x}
=P(2)+P(3)
=C(n,2)p^2(1-p)^{n-2}+C(n,3)p^3(1-p)^{n-3}
=C(3,2)0.1^2(1-0.1)^{3-2}+C(3,3)0.1^3(1-0.1)^{3-3}
=3(0.01)(0.9)+1(0.001)1
=0.027+0.001
=0.028


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