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Tom [10]
3 years ago
6

Billy rakes leaves and cuts grass. Let a represent how much he earns and h represent the

Mathematics
2 answers:
lina2011 [118]3 years ago
5 0

Answer:

<h2>Billy earns more money per hour cutting grass.</h2>

Step-by-step explanation:

Notice that Billy earns $5 per hour ranking leaves, and he earns $6.25 per hour cutting grass.

This unit rate of 6.25 can be found by dividing $25 by 4 hours, becasue according to the problem, he earns $25 for every 4 hours.

\frac{25}{4}=6.25

Therefore, Billy earns more money per hour cutting grass.

elena55 [62]3 years ago
5 0

Answer:

Second option is true

Step-by-step explanation:

Billy earns $25 by cutting grass for 4 hours.

If Billy works ranking leaves for 4 hours, we can calculate his earnings using h = 4:

a = 6*h

a = 6*4 = $24

We can write an equation for cutting grass:

b = k * h

25 = k * 4

k = 25/4 = 6.25

First option:

ranking leaves in one hour -> a = 6*1 = $6

cutting grass in two hours -> b = 6.25 * 2 = $12.5

Second option: more money cutting grass: true, because the value 6.25 in the cutting grass equation is bigger than the 6 in the ranking leaves equation.

Third option: False, as shown above

Fourth option: False, as shown above.

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Step-by-step explanation:

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If each of 10 events is equally likely to occur , the probability of each individual event occurring is
erastova [34]
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2 years ago
Select all that apply.
lana [24]

Answer:

put all of them which is a

Step-by-step explanation:

5 0
3 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
2 years ago
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