What is the length of ab and bc ? a= (1,-3) b= (3,-1) C= (5,-3)

A painter uses the expression 35h + 30c to determine how much he charges a customer for a job that takes h hours and c cans of p

Savatey [412]

Answer:

c) $615

Step-by-step explanation:

The expression used to determine how much is the charge for the customer after the job is

$p=35h+30c$

where

h is the number of hours the job took

c is the number of cans of paint used during the job

In this problem:

c = 3 (the painter used 3 cans of paint)

h = 15 (the painter took 15 hours for the job)

So substituting these values into the equation for p, we find the total value that the painter charged for the job:

$p=35\cdot 15 + 30 \cdot 3 =615$

So, the correct answer is

c) $615

5 0

2 years ago

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 $B = 0.149$

So

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

$0.149 = b + 0.05$

$b = 0.099$

24.1% are diagnosed with a mental disorder

This means that $A = 0.241$

So

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

$0.241 = a + 0.05$

$a = 0.203$

(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

360 miles driven on 12 gallons of fuel; 270 miles driven on 9 gallons of fuel. Use ratios or rates are equivalent. Explain your

densk [106]

Well you find the unit rate of both rates. So 360/12=30 and 270/9=30. So both the rate are 30 miles per gallon

8 0

3 years ago

What is the measure of the missing angle?

grigory [225]

I can’t see the picture of the problem you posted so I can’t answer which angle you need to find...

7 0

3 years ago

Read 2 more answers

3|5x+2|+10=4 <br> Absolute value

ArbitrLikvidat [17]

There is no solution for x because with absolute value it can not be equalled to a negative number after doing each step
So your answer is : no solution

4 0

2 years ago