All categories

3 years ago

Which is a solution for the following system of inequalities?

Mathematics

1 answer:

professor190 [17]3 years ago

6 0

It is (0,5). If you plug in 0 for x and 5 for y, then you will see that the inequalities are true.

You might be interested in

What mathematical sentence is represented by the diagram?

cricket20 [7]

My only guess is a^2 + b^2 = c^2

7 0

3 years ago

Rewrite the equation below so that it does not have fractions.

Sindrei [870]

Answer:

9x=19 step by step solution has been attached to this answer

6 0

3 years ago

Find the center and the radius of the circle with the equation x^2-4x+y^2-12y+31=0

ivanzaharov [21]

<h2>C: Center: (2, 6)</h2><h2>Radius: 3</h2>

<em />

5 0

3 years ago

Michelle multiple 3.4×52. she incorrectly wrote 1,768 as her product.

Lelechka [254]

Answer:

Wrong Answer 176.8

Step-by-step explanation:

Multiply 3.4 * 52 = 176.8

6 0

3 years ago

Read 2 more answers

A study of the US clinical population found that 24.1% are diagnosed with a mental disorder, 14.9% are diagnosed with an alcohol

jeka57 [31]

Answer:

a) 0.336

b) 0.207

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a person from the clinical population is diagnosed with mental disorder.

B is the probability that a person from the clinical population is diagnosed with alcohol related disorder.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a person is diagnosed with mental disorder but not alcohol related disorder and $A \cap B$ is the probability that a person is diagnosed with both of these disorders.

By the same logic, we have that:

$B = b + (A \cap B)$

We find the values of a,b and the intersection, starting from the intersection.

5% are diagnosed with both disorders.

This means that $A \cap B = 0.05$

14.9% are diagnosed with an alcohol-related disorder

This means that $B = 0.149$

$B = b + (A \cap B)$

$0.149 = b + 0.05$

$b = 0.099$

24.1% are diagnosed with a mental disorder

This means that $A = 0.241$

$A = a + (A \cap B)$

$0.241 = a + 0.05$

$a = 0.203$

(a) What is the probability that someone from the clinical population is diagnosed with a mental disorder, knowing that the person is diagnosed with an alcohol-related disorder?

Desired outcomes:

Mental and alcohol-related disorders, which $A \cap B$ . So $D = 0.05$

Total outcomes:

Alcohol-related disorder, which is B. So $T = 0.149$

Probability:

$P = \frac{0.05}{0.149} = 0.336$

(b) What is the probability that someone from the clinical population is diagnosed with an alcohol-related disorder, knowing that the person is diagnosed with a mental disorder?

Desired outcomes:

Mental and alcohol-related disorders, which $A \cap B$ . So $D = 0.05$

Total outcomes:

Mental disorder, which is B. So $T = 0.241$

Probability:

$P = \frac{0.05}{0.241} = 0.207$

4 0

3 years ago