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3 years ago

Solve the system of equations below algebraically 2x-3y=8 4x+2y= 10

1 answer:

7 0

$2x - 3y = 8 \\ 4x + 2y = 10 \\ \\ - 4x + 6y = - 16 \\ \: \: 4x + 2y = 10 \\ \\ 8y = - 6 \\ y = \frac{ - 6}{8} = \frac{ - 3}{4} \\ \\ 4x - 2( \frac{ - 3}{4} ) = 10 \\ 4x + \frac{3}{2} = 10 \\ 4x = \frac{17}{2} \\ x = \frac{17}8$

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The following lists the joint probabilities associated with smoking and lung disease among 60-to-65 year-old men. Has Lung Disea

Anna71 [15]

Answer:

4.11% probability that he has lung disease given that he does not smoke

Step-by-step explanation:

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: Does not smoke

Event B: Lung disease

Lung Disease/Nonsmoker 0.03

This means that $P(A \cap B) = 0.03$

Lung Disease/Nonsmoker 0.03

No Lung Disease/Nonsmoker 0.7

This means that $P(A) = 0.03 + 0.7 = 0.73$

What is the probability of the following event: He has lung disease given that he does not smoke?

$P(B|A) = \frac{0.03}{0.73} = 0.0411$

4.11% probability that he has lung disease given that he does not smoke

5 0

3 years ago

Help it’s for my babies brother hw

kodGreya [7K]

Answer:

From left to right, -3/2, -4/5, -3/10, 1/2, 7/8, 4/3

Step-by-step explanation

So what we're trying to do here is to order the numbers from greatest to least.

Let's start off with the negative numbers.

-3/10, -4/5, -3/2.

Now what we want to do is give them all a common denominator to figure out which one is the least of that group.

-3/10,-8/10,-15/10.

Now on to the positive numbers.

1/2, 4/3, 7/8

Turn the denominator into 24.

12/24, 32/24, 21/24

Then put them all in order.

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