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3 years ago

Solve this system of equations. 12x − 18y = 27 4x − 6y = 10

Mathematics

1 answer:

Marrrta [24]3 years ago

8 0

Answer:

no solution

Step-by-step explanation:

12x − 18y = 27

4x − 6y = 10

Multiply the second equation by -3 so we can eliminate x

-3(4x − 6y) = 10*-3

-12x +18y = -30

Add the first equation to this new equation

12x − 18y = 27

-12x +18y = -30

------------------------

0 = -3

This is not a true equation, so there is no solution

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last year genesis earned 72,832 and david earned 68,852.How much more did genesis earn than david PLEASE HELP I AM DOING A TEST

zaharov [31]

Answer: $3,980

Step-by-step explanation:

As the question is asking for the amount that Genesis earned over the amount earned by David, to find the answer, subtract David's earnings from that of David.

= Genesis's earnings - David's earnings

= 72,832 - 68,852

= $3,980

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3 years ago

Xm = pn, Solve for x.

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Answer:

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2 years ago

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3 years ago

Read 2 more answers

Write the missing decimal so that each pair adds to 1

Gelneren [198K]

Step-by-step explanation:

1/2 + 1/2 = 1

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3 years ago

Suppose the probability of a false positive result on a mammogram is 4%. Suppose that the probability of a false negative result

Mariulka [41]

Answer:

0.0049 = 0.49% probability that she actually has breast cancer

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive test result

Event B: Breast cancer

Probability of a positive test result:

4% of (1 - 0.0002)

98% of 0.0002

$P(A) = 0.04*(1 - 0.0002) + 0.98*0.0002 = 0.040188$

Having breast cancer and testing positive.

98% of 0.0002

$P(A \cap B) = 0.98*0.0002 = 0.000196$

What is the probability that she actually has breast cancer?

$P(B|A) = \frac{0.000196}{0.040188} = 0.0049$

0.0049 = 0.49% probability that she actually has breast cancer

8 0

3 years ago