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3 years ago

Which equation can pair with 3x + 4y = 8 to create a consistent and independent system?

Mathematics

2 answers:

skelet666 [1.2K]3 years ago

8 0

The right answer is C)

Consistent and independent system of two linear equations is a system such that there is only one solution for the system, that is, the two straight lines cross at a point. So we can analyze each case and I have attached some graphs to provided you with examples. Those graphs aren't about the equations but it's about general cases:

A) Consistent and dependent. If we divide this given equation by 2 we get the same line. (See Figure 1)

B) Inconsistent. No solutions. (See Figure 2)

C) Consistent and Independent. (See Figure 3)

D) Consistent and dependent. If we multiply this equation by -1 we get the same line. (See Figure 1)

nikdorinn [45]3 years ago

3 0

Answer:

C 6x - 3y = 2

Step-by-step explanation:

E2020 :))))))))))))

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A certain federal agency employs three consulting firms (A, B and C) with probabilities 0.40, 0.45 and 0.15. From past experienc

dybincka [34]

Answer:

68.11% probability that the firm involved is firm B

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Cost overrun

Event B: Agency B used.

A certain federal agency employs three consulting firms (A, B and C) with probabilities 0.40, 0.45 and 0.15.

This means that $P(B) = 0.45$

From past experiences, it is known that the probability of cost overruns for the firms are 0.01, 0.14, and 0.17, respectively.

This means that $P(A|B) = 0.14$

Probability of cost overrun.

Firm A is used 40% of the time, with 1% of these having cost overrun. B is used 45%, with 14% of these having cost overruns. C is used 15% of the time, with 17% of these having cost overruns.

$P(A) = 0.4*0.01 + 0.45*0.14 + 0.15*0.17 = 0.0925$

What is the probability that the firm involved is firm B

$P(B|A) = \frac{0.45*0.14}{0.0925} = 0.6811$

68.11% probability that the firm involved is firm B

6 0

2 years ago

How do you add mix numbers by a fraction

kap26 [50]

Hope this helps the seconds one I ease my for sure but the first one I’m pretty sure is right!

3 0

3 years ago

Which of these divisibility rules can be applied to determine if 315 is a prime or composite number?

Vlada [557]

Answer:

The answer is going to be C

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2 years ago

What is the inverse of this operation x-3

omeli [17]

Answer:

1/ x-3

Step-by-step explanation:

The inverse of a number or expression means one divided by the number .

So inverse of x-3 is

1/ x-3

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2 years ago

Linda has $10, Rick has &12, they both put there money together to buy a pizza that cost $14, they buy it, then someone give

prohojiy [21]

First you add 10 and 12 dollars to get 22 dollars then subtract the 14 dollars of the pizza to get 7 dollars left. Then add the other 18 given to them and your final answer adds up to 25 dollars in all. :)

6 0

2 years ago